From fc469a037ea4768074125fc7d270831bce6237bf Mon Sep 17 00:00:00 2001 From: amaury Date: Sat, 27 Sep 2025 03:32:25 +0200 Subject: [PATCH] feat: implementation of transition matrices (P_male, P_female, P_both) by province and activation of synthetic name generation by province, as well as analysis of letter, 3-gram, 4-gram and 5-gram frequencies. --- notebooks/names.ipynb | 3793 +++++++++++++++++++++++++++++++++++++++-- 1 file changed, 3697 insertions(+), 96 deletions(-) diff --git a/notebooks/names.ipynb b/notebooks/names.ipynb index ac8a20c..6dac73f 100644 --- a/notebooks/names.ipynb +++ b/notebooks/names.ipynb @@ -246,7 +246,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "id": "378147d2abc9ab24", "metadata": { "ExecuteTime": { @@ -385,7 +385,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "id": "6d5c1abb55b7076a", "metadata": { "ExecuteTime": { @@ -422,7 +422,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "id": "24a4ad40319f441b", "metadata": { "ExecuteTime": { @@ -456,7 +456,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "id": "5ce61cb4109c1cee", "metadata": { "ExecuteTime": { @@ -525,7 +525,7 @@ "sex 10015595 2 m 6033856" ] }, - "execution_count": 11, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -536,7 +536,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "id": "77abf83a2f6360f5", "metadata": { "ExecuteTime": { @@ -730,7 +730,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "id": "e324e1c9e8da4bd8", "metadata": { "ExecuteTime": { @@ -811,7 +811,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "id": "12a7094d94ad519f", "metadata": { "ExecuteTime": { @@ -833,7 +833,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "id": "67b3e0f724af646b", "metadata": { "ExecuteTime": { @@ -857,7 +857,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "id": "f15ad6eb4df27527", "metadata": { "ExecuteTime": { @@ -894,7 +894,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "id": "51ec0792317364fc", "metadata": { "ExecuteTime": { @@ -926,7 +926,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "id": "dae836cd8a6c26e6", "metadata": { "ExecuteTime": { @@ -980,7 +980,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 18, "id": "d029bbd85794df95", "metadata": { "ExecuteTime": { @@ -1066,7 +1066,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 19, "id": "80e7f52285a073ea", "metadata": { "ExecuteTime": { @@ -1183,7 +1183,7 @@ "6 e 19945.183545 26 0.0 0.0 True" ] }, - "execution_count": 21, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -1212,7 +1212,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 20, "id": "ffb0b937-fb9e-47d5-94c7-20afdf99560c", "metadata": { "ExecuteTime": { @@ -1241,7 +1241,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 21, "id": "4a0d8e2a74a6406c", "metadata": { "ExecuteTime": { @@ -1283,7 +1283,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 22, "id": "9265e47639c4319d", "metadata": { "ExecuteTime": { @@ -1309,7 +1309,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 23, "id": "395dace523f1bed4", "metadata": { "ExecuteTime": { @@ -1335,7 +1335,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 24, "id": "98c7ed61-5c2d-4d9a-9d85-e4efe4bfc402", "metadata": { "ExecuteTime": { @@ -1405,7 +1405,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 25, "id": "412883b2-c1fd-483f-b61a-ba2bfc8b04e7", "metadata": { "ExecuteTime": { @@ -1431,7 +1431,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 26, "id": "b4eda839e6cc5d8f", "metadata": { "ExecuteTime": { @@ -1457,7 +1457,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 27, "id": "55605ab05b9a10bb", "metadata": { "ExecuteTime": { @@ -1491,7 +1491,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 28, "id": "28fe77f9-f9b0-4267-9dbb-3969e04b83fb", "metadata": { "ExecuteTime": { @@ -1581,7 +1581,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 29, "id": "a01eb547985d5a62", "metadata": { "ExecuteTime": { @@ -1600,7 +1600,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 30, "id": "c5bcbff0204ceaa4", "metadata": { "ExecuteTime": { @@ -1636,63 +1636,63 @@ " \n", " \n", " 0\n", - " Mambo\n", + " Kalonga\n", " \n", " \n", " 1\n", - " Mbanga\n", + " Kanga\n", " \n", " \n", " 2\n", - " Bomanga\n", + " Masenga\n", " \n", " \n", " 3\n", - " Kasala\n", + " Ngaba\n", " \n", " \n", " 4\n", - " Mbiangonga\n", + " Kalelongoka\n", " \n", " \n", " 5\n", - " Mambe\n", + " Bwengola\n", " \n", " \n", " 6\n", - " Mangi\n", + " Shayi\n", " \n", " \n", " 7\n", - " Mbangando\n", + " Mbale\n", " \n", " \n", " 8\n", - " Mulombe\n", + " Mumonga\n", " \n", " \n", " 9\n", - " Kitoto\n", + " Mbonga\n", " \n", " \n", "\n", "" ], "text/plain": [ - " name\n", - "0 Mambo\n", - "1 Mbanga\n", - "2 Bomanga\n", - "3 Kasala\n", - "4 Mbiangonga\n", - "5 Mambe\n", - "6 Mangi\n", - "7 Mbangando\n", - "8 Mulombe\n", - "9 Kitoto" + " name\n", + "0 Kalonga\n", + "1 Kanga\n", + "2 Masenga\n", + "3 Ngaba\n", + "4 Kalelongoka\n", + "5 Bwengola\n", + "6 Shayi\n", + "7 Mbale\n", + "8 Mumonga\n", + "9 Mbonga" ] }, - "execution_count": 32, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -1703,7 +1703,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 31, "id": "5d5ec37da189b7a8", "metadata": { "ExecuteTime": { @@ -1721,7 +1721,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 32, "id": "f9da3dad4317ac10", "metadata": { "ExecuteTime": { @@ -1757,63 +1757,63 @@ " \n", " \n", " 0\n", - " Mungu\n", + " Mbakanga\n", " \n", " \n", " 1\n", - " Mando\n", + " Mbangi\n", " \n", " \n", " 2\n", - " Malusha\n", + " Mangenga\n", " \n", " \n", " 3\n", - " Mumana\n", + " Mbolumua\n", " \n", " \n", " 4\n", - " Mbanga\n", + " Kadisa\n", " \n", " \n", " 5\n", - " Nganga\n", + " Matanga\n", " \n", " \n", " 6\n", - " Mbamba\n", + " Siaya\n", " \n", " \n", " 7\n", - " Lango\n", + " Mandi\n", " \n", " \n", " 8\n", - " Mumba\n", + " Kikanga\n", " \n", " \n", " 9\n", - " Mbango\n", + " Mbambilengas\n", " \n", " \n", "\n", "" ], "text/plain": [ - " name\n", - "0 Mungu\n", - "1 Mando\n", - "2 Malusha\n", - "3 Mumana\n", - "4 Mbanga\n", - "5 Nganga\n", - "6 Mbamba\n", - "7 Lango\n", - "8 Mumba\n", - "9 Mbango" + " name\n", + "0 Mbakanga\n", + "1 Mbangi\n", + "2 Mangenga\n", + "3 Mbolumua\n", + "4 Kadisa\n", + "5 Matanga\n", + "6 Siaya\n", + "7 Mandi\n", + "8 Kikanga\n", + "9 Mbambilengas" ] }, - "execution_count": 34, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" } @@ -1832,7 +1832,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 33, "id": "18bd2610-170d-47cc-926a-6cf9a126cef5", "metadata": {}, "outputs": [], @@ -1861,7 +1861,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 34, "id": "e2e53f6e-4ae9-4ea5-9135-02d9f2a46554", "metadata": {}, "outputs": [], @@ -1883,7 +1883,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 35, "id": "d339f85f-1a0f-4025-8185-63fe039b87e3", "metadata": {}, "outputs": [ @@ -1915,7 +1915,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 36, "id": "ab4176d9-e206-48d4-9a4e-d4e226f978fe", "metadata": {}, "outputs": [ @@ -1948,7 +1948,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 37, "id": "f210fbf7-a6c0-4661-b576-db1b3c488c63", "metadata": {}, "outputs": [], @@ -1960,7 +1960,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 38, "id": "9527ec56-ebdf-465b-aa9c-52119987cba7", "metadata": {}, "outputs": [ @@ -1981,7 +1981,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 39, "id": "1028daaa-6b15-4c9b-b67a-583234a700b7", "metadata": {}, "outputs": [ @@ -2002,7 +2002,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 40, "id": "f205e4a0-2565-47cb-829e-27c142062483", "metadata": {}, "outputs": [ @@ -2023,7 +2023,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 41, "id": "1453f7ae-6bec-4cc7-9190-d0703412cafb", "metadata": {}, "outputs": [ @@ -2044,7 +2044,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 43, "id": "801a36c0-cf28-47ad-8e79-63726bc2ac03", "metadata": {}, "outputs": [ @@ -2073,7 +2073,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 44, "id": "8b2185c5-474f-4181-a0ed-d01e4c986cfd", "metadata": {}, "outputs": [], @@ -2084,26 +2084,26 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 45, "id": "97d8f2c6-763f-498c-8b71-e762c7cbac6f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "['Jonain',\n", - " 'Jachatier',\n", - " 'Anuel',\n", - " 'Serise',\n", - " 'Belphache',\n", - " 'Moninn',\n", - " 'Beloe',\n", - " 'Daman',\n", - " 'Jenis',\n", - " 'Delel']" + "['Moniesan',\n", + " 'Jeoie',\n", + " 'Ananisan',\n", + " 'Gelan',\n", + " 'Maserin',\n", + " 'Jarin',\n", + " 'Dichan',\n", + " 'Jonist',\n", + " 'Jonyan',\n", + " 'Phere']" ] }, - "execution_count": 51, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -2112,10 +2112,3611 @@ "generated_firstnames" ] }, + { + "cell_type": "markdown", + "id": "f862e681-6e86-454f-9bb1-216a7144895e", + "metadata": {}, + "source": [ + "# Names Analysis by Region" + ] + }, + { + "cell_type": "code", + "execution_count": 244, + "id": "01d1bbe6-abe6-40b5-84f1-e23af656094d", + "metadata": {}, + "outputs": [], + "source": [ + "def prepare_names(df: pd.DataFrame, region: str, col: str = \"identified_name\") -> pd.DataFrame:\n", + " if region.upper() in df['province'].str.upper().unique():\n", + " df_region = df[df['province'].str.upper() == region.upper()].copy()\n", + " else:\n", + " df_region = df[df['region'].str.upper() == region.upper()].copy()\n", + "\n", + " df_names = (\n", + " df_region.assign(\n", + " name=(\n", + " df_region[col]\n", + " .fillna('')\n", + " .str.replace(r\"[^\\w'\\-]+\", \" \", regex=True)\n", + " .str.strip()\n", + " .str.split()\n", + " )\n", + " )\n", + " .explode('name', ignore_index=True)\n", + " .dropna(subset=['name'])\n", + " )\n", + "\n", + " df_names['name'] = df_names['name'].str.strip()\n", + " df_names = df_names[df_names['name'].ne('')]\n", + "\n", + " return df_names[['name', 'province', 'sex']].reset_index(drop=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "06fca960-3d3a-4f0f-b358-43b7aac0dd1f", + "metadata": {}, + "outputs": [], + "source": [ + "def build_transitions(df_names: pd.DataFrame, col: str = \"name\") -> dict:\n", + " transitions_both = build_transition_probs(df_names[col])\n", + " transitions_male = build_transition_probs(\n", + " df_names.loc[df_names['sex'].str.lower() == 'm', col]\n", + " )\n", + " transitions_female = build_transition_probs(\n", + " df_names.loc[df_names['sex'].str.lower() == 'f', col]\n", + " )\n", + "\n", + " return {\n", + " \"both\": transitions_both,\n", + " \"male\": transitions_male,\n", + " \"female\": transitions_female,\n", + " \"P_both\": transitions_both['probs'],\n", + " \"P_male\": transitions_male['probs'],\n", + " \"P_female\": transitions_female['probs'],\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "f2c272a7-59a1-4ef3-a3ab-c272c49da357", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_name_heatmaps(transitions_dict, titles, figsize=(20, 6)):\n", + " fig, axes = plt.subplots(1, len(transitions_dict), figsize=figsize, sharex=True, sharey=True)\n", + "\n", + " for ax, (key, trans) in zip(axes, transitions_dict.items()):\n", + " plot_transition_matrix(ax, trans['df_probs'], titles[key])\n", + "\n", + " cbar = fig.colorbar(axes[-1].collections[0], ax=axes, orientation=\"vertical\", fraction=0.03, pad=0.02)\n", + " cbar.set_label(\"Transition probability\")\n", + "\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "f539a1b2-1da1-4543-bcd3-c369994e47f9", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_diff_heatmap(trans_a, trans_b, title=\"\", cmap=\"RdBu_r\", center=0):\n", + " diff = trans_a - trans_b\n", + "\n", + " plt.figure(figsize=(6, 5))\n", + " sns.heatmap(\n", + " diff.loc[list(\"abcdefghijklmnopqrstuvwxyz\"), list(\"abcdefghijklmnopqrstuvwxyz\")],\n", + " cmap=cmap,\n", + " center=center,\n", + " annot=False\n", + " )\n", + " plt.title(title)\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "id": "cfa5de51-19a9-47cf-8fa0-75524d38c0ce", + "metadata": {}, + "outputs": [], + "source": [ + "def generate_names_from_region(transitions_region, tokens, gender=\"male\", n=10, min_len=5, max_len=12, temperature=0.5):\n", + " transitions_df = transitions_region[gender][\"df_probs\"]\n", + " P = prepare_prob_matrix(transitions_df, tokens)\n", + "\n", + " return [\n", + " generate_name(P, token_to_idx, idx_to_token, min_len=min_len, max_len=max_len, temperature=temperature)\n", + " for _ in range(n)\n", + " ]\n" + ] + }, + { + "cell_type": "markdown", + "id": "d47c5506-09e9-4565-98f3-523cf3d24f12", + "metadata": {}, + "source": [ + "## Kinshasa" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "id": "dd4a23ac-3686-4ef8-9c72-ca7469051702", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"KINSHASA\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "id": "ff7563e6-9a11-4e18-9a2f-e2bb38839629", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "id": "5e2aea0b-0595-4a08-8fe2-89d7d112de3c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "6fe5b1ad-2e78-4645-9904-6f98eb2d3d4b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "id": "79ba8361-a1b6-4399-a86c-aafc0deda996", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=3, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "id": "0ecdc1de-aa0f-4f40-9048-ccfe5d81ee32", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=4, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "id": "f83af046-545d-4d4a-ab4f-db7d10bbc4d2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "id": "2ff8dc88-0673-46f2-b9d3-b677dcd7ef38", + "metadata": {}, + "outputs": [], + "source": [ + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "id": "27639dca-3d70-4d62-bdbb-1eeb43577c6c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mumbangasong',\n", + " 'Manga',\n", + " 'Mbanga',\n", + " 'Manzamba',\n", + " 'Kamama',\n", + " 'Mumonza',\n", + " 'Kiasatale',\n", + " 'Pasia',\n", + " 'Kangu',\n", + " 'Banga']" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "id": "232f5f3f-d7c1-484a-961c-e9d437d16142", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mbolo',\n", + " 'Mboma',\n", + " 'Mapelu',\n", + " 'Tutama',\n", + " 'Mbila',\n", + " 'Matunga',\n", + " 'Mbangenga',\n", + " 'Manga',\n", + " 'Kangola',\n", + " 'Kanga']" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "id": "18880c7f-d16a-429b-8669-923083241acf", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mbato',\n", + " 'Lunga',\n", + " 'Mbungonga',\n", + " 'Mbana',\n", + " 'Kalala',\n", + " 'Ngamamba',\n", + " 'Mayingongaba',\n", + " 'Mangonda',\n", + " 'Konge',\n", + " 'Kayaba']" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "2ac7b28d-26d9-4933-8475-79a316f6dbab", + "metadata": {}, + "source": [ + "## KATANGA" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "id": "0b84e8fb-4280-4b08-b372-2634a8ac7f3b", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"KATANGA\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "id": "22022386-f67f-40be-b714-c9f220d0ba87", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "id": "e30f961c-ea79-447d-84cc-55cd0f4c1b1b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "id": "37e7a1dd-2ad5-4bf3-9954-cc543e45bb5f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "id": "73bef9fd-62de-4ac7-82d3-b187c6a546c4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=3, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "id": "0a713e6a-fa30-46c6-ad17-8ea1e72940b0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "id": "1a28db65-698f-4aca-b6c7-c64e11fdf72c", + "metadata": {}, + "outputs": [], + "source": [ + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "id": "6a5d2536-52b8-4976-8cc5-e3f401759112", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mubenga',\n", + " 'Mbwaba',\n", + " 'Nganta',\n", + " 'Kamwaba',\n", + " 'Kadango',\n", + " 'Mbanga',\n", + " 'Kadilungu',\n", + " 'Bangonganga',\n", + " 'Kalutshiba',\n", + " 'Munga']" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "id": "e9c630c1-4824-4442-9533-e2764bf13b69", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Kangenga',\n", + " 'Mbamba',\n", + " 'Mbangongoya',\n", + " 'Kakashi',\n", + " 'Mbanga',\n", + " 'Kamba',\n", + " 'Kayanga',\n", + " 'Ngonga',\n", + " 'Kenaka',\n", + " 'Mbatondi']" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "3a94035e-d96c-4496-97ed-a12359926369", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Kalungo',\n", + " 'Mbango',\n", + " 'Kalalujimba',\n", + " 'Mbamba',\n", + " 'Kango',\n", + " 'Tshangoy',\n", + " 'Kangangamu',\n", + " 'Mungo',\n", + " 'Kuyangunka',\n", + " 'Ndimbe']" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "9c6d94a4-64a8-4ba9-9b88-bd9f6a3af8f1", + "metadata": {}, + "source": [ + "## KASAI-ORIENTAL" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "id": "f129357d-6118-463c-9ba2-1bc356500a89", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"KASAI-ORIENTAL\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "id": "f7fca7fc-f1db-4bba-abce-72fbee3f61d8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "cf3b02c2-0ddc-4b53-8d7d-924ab7f429ae", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "id": "8b759ade-5aa0-4c94-80f8-c506269895ce", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Frequencies\n", + "plot_letter_grid(df_names_region, use=\"freq\")" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "id": "99e4ab9a-830c-4874-a4c6-29a245056953", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "id": "2238a848-eb8e-43e1-a90e-e144cd458789", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=3, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "id": "3cbade70-8c19-4336-b5fb-fc504dd9ae9f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "id": "16b9d085-0648-415d-959e-ecbb44cde56f", + "metadata": {}, + "outputs": [], + "source": [ + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "id": "5d61738f-f558-4766-9808-0b2b36b56e89", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Ngaba',\n", + " 'Mbuaba',\n", + " 'Mbaba',\n", + " 'Mumunga',\n", + " 'Kabango',\n", + " 'Kabanga',\n", + " 'Kamba',\n", + " 'Mbaba',\n", + " 'Mpiyi',\n", + " 'Kabonga']" + ] + }, + "execution_count": 116, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "id": "d0afb942-b035-4f10-b8af-5eed809f1812", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Kamushimbi',\n", + " 'Ngandi',\n", + " 'Nganga',\n", + " 'Mabala',\n", + " 'Kayanga',\n", + " 'Mumba',\n", + " 'Kanga',\n", + " 'Mbambushi',\n", + " 'Mbuka',\n", + " 'Mbambala']" + ] + }, + "execution_count": 117, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "id": "3135e861-0349-4b47-9877-568cd1e5ce50", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mbala',\n", + " 'Mumbalenga',\n", + " 'Kalayia',\n", + " 'Mbumbo',\n", + " 'Mbanga',\n", + " 'Mbila',\n", + " 'Mbalu',\n", + " 'Mbango',\n", + " 'Kangu',\n", + " 'Mbamba']" + ] + }, + "execution_count": 118, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "0703b102-1651-4b73-82fe-52d0613ecf79", + "metadata": {}, + "source": [ + "## KASAI-OCCIDENTAL" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "id": "585714b2-be7f-49f9-9300-60a1d27c266b", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"KASAI-OCCIDENTAL\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "id": "5e3315a9-a47a-4ced-b6d1-833ae94fb87d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "id": "1f3daf0b-472d-4377-a622-ac9290d4d3d9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "id": "d54cac22-4f4a-4385-990e-99a2ac5408d4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "id": "cbfb6ed6-8f3d-40b1-8947-e79ede186fb7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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xadKkMreIiEmTJsXChQvjhBNOKDNfqly5cuy1117x1FNPrbKsM888M/P/OnXqRIsWLaJWrVrxu9/9LtNeun+98n50bm5uZg60YsWK+OKLL6J27drRokWLH53Xffnll/Hkk0/G7373u8x+/ueffx5ffPFFFBYWxnvvvReffPLJz36O1sajjz4alStXjosuuqhM+yWXXBJJksRjjz1Wpr2goCDatm2bub/VVlvFkUceGRMnTlzlsgw/5ttvv41jjz02atSoEdddd12Zvp87rxs9enS88cYbcf31169xPaVWrFgRkydPjqOOOioaNWqUad92223j0EMPTX3MAQccEK1atVqlfW3m/gcffHDmiMaI/83funTpEptssskq7aWvx/z8/IiImDhxYnz77bdrupkA/ECVnx4CAD9P3bp1o0OHDjF27Nj49ttvY8WKFZmLxKcZP358XH311TFz5swy13r4qVOvvPfee/H6669H3bp1U/sXLFiw2scuWrRotROuunXrRuXKlX903Wk+/PDDiPjv5Hpl1apVi6233jrTX6pRo0ZRq1atMm3bb799RETMmTMn2rVrt0brHTJkSPzlL3+Jq666Kg477LAyfTVq1Ei9fsZ3332X6f8xF198cey9997RpUuXHx332WeflZko165dO2rXrh0ffvhhbLPNNqv8LLfddtvU5Wy55ZZRrVq1VdpnzZoVl19+eTz55JNRXFxcpu+H171o3LjxKuvLz8+PJk2arNIW8d9JbKnBgwdHt27dokmTJtG2bds47LDDomvXrrH11luvbtMBACCr9txzz9h9991XaX/vvfciIuKggw5KfVxeXl6Z+9WrV19lbpWfn7/a/euV96NLSkrilltuiREjRsTs2bPLzA0233zz1db+/vvvR5IkccUVV8QVV1yROmbBggWx5ZZbpvb9cB5SqnLlyqudJ/6UDz/8MBo1alQmsIqIzKUjfjiv22677VZZxvbbbx/ffvttfPbZZ2t0qYgVK1bE8ccfH2+99VY89thjZUK7iJ83rysuLo5+/fpF7969V5kT/bCGzz77rEzbZpttFl988UUsWbIkdQ63unld8+bNU9vXZu6/1VZblblfOn/7qXld8+bNo1evXnHTTTfFmDFjYr/99osjjjgiTj755MxYAH6aMBGAjeLEE0+Ms846K4qKiuLQQw+NOnXqpI579tln44gjjoj9998/RowYEQ0bNoyqVavGqFGjYuzYsT+6jpKSkjjkkEOiT58+qf2lwVyaiy++OO6+++7UvtmzZ5f5BmR5Nnr06Ojbt2+ce+65cfnll6/S37Bhw3jqqaciSZIyE7RPP/00ImKVSerKnnzyyXj88cfjwQcfLHM9le+//z6WLFkSc+bMic022yzy8vJijz32KDOp/uMf/xgDBgxY6+1JmwQvXLgwDjjggMjLy4uBAwfGNttsE9WrV49XXnkl+vbtGyUlJWXGry4IXl17kiSZ///ud7+L/fbbLx566KF44oknYsiQIXH99dfHgw8+uNpv3QIAQHlUup/817/+NTXQWvmMJhE/bz960KBBccUVV8Tpp58eV111VWy22WZRqVKl6NGjxyr762k1XnrppVFYWJg6ZnWBVUSsMg8p1bRp01WuCVmenXXWWTF+/PgYM2ZMavjbsGHDzBxuZWsyr7vhhhti2bJlcdxxx2Wek48//jgi/hvAzZkzJxo1ahTz5s1bJQR86qmnVvmy7JpIm9et7dz/57web7zxxjj11FNj3Lhx8cQTT8RFF10U1157bUyfPj0aN2681tsD8GskTARgo/jtb38b55xzTkyfPj3uvffe1Y77v//7v6hevXpMnDixzGlbRo0a9ZPr2GabbeLrr7+ODh06rHV9ffr0iZNPPjm1b02+OZqmadOmERHx7rvvljmSbdmyZTF79uxV6pw3b1588803ZY5O/Pe//x0RsUZh5rhx4+LMM8+Mo48+OoYPH546Ztddd4077rgj3n777TKnmXnhhRcy/aszd+7ciIg4+uijV+n75JNPonnz5jF06NDo0aNHjBkzpsyRnqXb37Rp03jrrbdWCTPff//9n9y+Uk8//XR88cUX8eCDD8b++++faZ89e/YaL2NtNGzYMM4///w4//zzY8GCBdGmTZu45pprhIkAAFQo22yzTURE1KtXb53mTGvjgQceiAMPPDDuvPPOMu0LFy6MLbbYYrWPK503VK1adZ1q/OE8pNRPnYHlxzRt2jQmT54cixcvLnN0YunlFUrnfaVKjwBd2b///e+oWbPmGh0d2bt37xg1alTcfPPNccIJJ6SO2XXXXePZZ5+NkpKSMpfUeOGFF6JmzZo/+kXauXPnxldffRU77rjjKn2DBg2KQYMGxauvvho77LBD5hS5pXbZZZfIy8uL6tWrp87h1mZe93Pm/uuidevW0bp167j88svj+eefj3322SdGjhwZV1999QZZH8AvjTARgI2idu3acdttt8WcOXPiN7/5zWrHVa5cOXJycsqcmmbOnDnx8MMP/+Q6fve738WAAQNi4sSJq3yLdeHChVG7du1Vvm1bqlWrVqnXcPg5OnToENWqVYtbb701OnXqlAnP7rzzzli0aFF07ty5zPjvv/8+br/99ujVq1dE/Dd0vP3226Nu3bplrrmR5plnnonjjz8+9t9//xgzZkyZCeXKjjzyyOjZs2eMGDEihg0bFhH//cbmyJEjY8stt4y99957tes46KCD4qGHHlql/eyzz46mTZvGH/7wh2jdunVEROyzzz6pyygsLIxJkybFI488EkceeWRE/PdUPH/5y19+dPtWVvrN05W/abps2bIYMWLEGi9jTaxYsSK+/vrrMqe+qVevXjRq1Cj1lEIAAFCeFRYWRl5eXgwaNCgOPPDAqFq1apn+zz77bJ1PBfpDlStXLrO/HvHfa9x/8sknP3pkYb169aJ9+/Zx++23x4UXXhgNGzZcqxpXNw/5OQ477LD485//HMOGDYt+/fpl2ocOHRo5OTmrfMlw2rRp8corr0SbNm0iIuKjjz6KcePGRadOnX7y8hlDhgyJG264IX7/+9/HxRdfvNpxxxxzTDzwwAPx4IMPZi4h8vnnn8f9998fv/nNb370+vYXXXRRHHXUUWXaFixYEOecc06ceuqpceSRR0bz5s2jevXqqw10O3ToEA8//HDMmzcvcxTk+++/v8r1I3/Mz5n7r43i4uKoWbNmmc8CWrduHZUqVTKvA1gLwkQANppu3br95JjOnTvHTTfdFJ06dYoTTzwxFixYEMOHD49tt902Xn/99R99bO/eveORRx6Jww8/PE499dRo27ZtfPPNN/HGG2/EAw88EHPmzPnRb8Gub3Xr1o1+/frFlVdeGZ06dYojjjgi3n333RgxYkTsscceqxwJ2ahRo7j++utjzpw5sf3228e9994bM2fOjD//+c+rTPRX9uGHH8YRRxwROTk5ccwxx8T9999fpn/nnXeOnXfeOSL+e/3AHj16xJAhQ2L58uWxxx57xMMPPxzPPvtsjBkz5kcnt1tttdUq16mIiOjRo0fUr19/lQlpmnPOOSeGDRsWJ5xwQlx88cXRsGHDGDNmTFSvXj0ifvq6mBERe++9d2y66abRrVu3uOiiiyInJyf++te/rvJhxc+1ePHiaNy4cRxzzDGxyy67RO3atWPy5Mnx0ksvxY033rhe1wUAABtaXl5e3HbbbXHKKadEmzZt4vjjj4+6devG3LlzY8KECbHPPvtkvnD4cx1++OExcODAOO2002LvvfeON954I8aMGbNG1x4fPnx47LvvvtG6des466yzYuutt4758+fHtGnT4uOPP47XXnttvdS4pn7zm9/EgQceGH/4wx9izpw5scsuu8QTTzwR48aNix49emSO+Cy10047RWFhYVx00UWRm5ub+dLjlVde+aPreeihh6JPnz6x3XbbRcuWLeNvf/tbmf5DDjkk6tevHxH/DRPbtWsXp512Wrz11luxxRZbxIgRI2LFihU/uZ42bdpkgs5Spac73XHHHddoXjdgwIB44oknYp999onzzjsvVqxYEcOGDYuddtopZs6c+ZOPj/h5c/+18eSTT8YFF1wQxx57bGy//fbx/fffx1//+teoXLlydOnSZb2tB+CXTpgIQLly0EEHxZ133hnXXXdd9OjRI5o3b54J2H5qQlGzZs2YOnVqDBo0KO6///645557Ii8vL7bffvu48sors3Jx9QEDBkTdunVj2LBh0bNnz9hss83i7LPPjkGDBq0SEG666aZx9913x4UXXhh/+ctfon79+jFs2LA466yzfnQds2fPjkWLFkVERPfu3Vfp/+Mf/5gJEyMirrvuuth0003j9ttvj9GjR8d2220Xf/vb3+LEE09cD1v842rXrh1PPvlkXHjhhXHLLbdE7dq1o2vXrrH33ntHly5dMqHij9l8881j/Pjxcckll8Tll18em266aZx88slx8MEHr/a6KuuiZs2acf7558cTTzwRDz74YJSUlMS2224bI0aMiPPOO2+9rQcAADaWE088MRo1ahTXXXddDBkyJJYuXRpbbrll7LfffnHaaaett/X8/ve/j2+++SbGjh0b9957b7Rp0yYmTJgQl1122U8+tlWrVvHyyy/HlVdeGaNHj44vvvgi6tWrF7vttlv0799/vdW4pipVqhSPPPJI9O/fP+69994YNWpUNGvWLIYMGRKXXHLJKuMPOOCAKCgoiCuvvDLmzp0brVq1itGjR5eZk6UpDUnfe++9OOWUU1bpf+qppzJhYuXKlePRRx+N3r17x6233hpLliyJPfbYI0aPHr1O1zRcW23bto3HHnssLr300rjiiiuiSZMmMXDgwHj77bczp3/9KT9n7r82dtlllygsLIx//vOf8cknn0TNmjVjl112icceeyzatWu33tYD8EuXk6zvr/EDAGutffv28fnnn8ebb76Z7VKy4uabb46ePXvGxx9/HFtuuWW2ywEAAFhrOTk50b1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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=4, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "id": "c8b9daf1-8cb4-4e89-aca0-d28b7d2643c1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "id": "d3674747-6719-426b-b9ab-db9b3a777d87", + "metadata": {}, + "outputs": [], + "source": [ + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 132, + "id": "8db953c7-24bf-48c4-ac8d-a5e1d6c88a9f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Kabunga',\n", + " 'Kambanganga',\n", + " 'Kajinguyi',\n", + " 'Kamba',\n", + " 'Mbanga',\n", + " 'Mbalu',\n", + " 'Kanda',\n", + " 'Mukatsa',\n", + " 'Mumungamua',\n", + " 'Mushi']" + ] + }, + "execution_count": 132, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "id": "19dcfd22-551b-4f40-99c2-3dc1842ee40e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mbinga',\n", + " 'Malamba',\n", + " 'Kanganga',\n", + " 'Mutshi',\n", + " 'Nganga',\n", + " 'Mbunga',\n", + " 'Nyimbu',\n", + " 'Ngangapi',\n", + " 'Manga',\n", + " 'Kamba']" + ] + }, + "execution_count": 133, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "id": "09f414e8-c468-4ef1-9018-dff9ff8ecd97", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Kabelua',\n", + " 'Nyindi',\n", + " 'Kalangua',\n", + " 'Mbampi',\n", + " 'Mapembabanga',\n", + " 'Kamambumbang',\n", + " 'Manamu',\n", + " 'Kabamukangon',\n", + " 'Kombulo',\n", + " 'Kanda']" + ] + }, + "execution_count": 134, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "12185937-0a34-4b30-bbec-9dea377384ad", + "metadata": {}, + "source": [ + "## MANIEMA" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "id": "bec12df9-76e7-4d4a-ad4d-97d8554e9d9e", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"MANIEMA\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "id": "2397f0fc-53eb-42c3-b215-d6890bfe6807", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "id": "cddc29ca-74e4-4c28-8e25-8be9024d6e03", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "id": "c2c5767f-c428-4a95-84cb-1fd048c56204", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 145, + "id": "360549d0-0a2c-49b6-a692-c5d795379aa0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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ttlnUqVMnjjjiiFx7+e/rH/6OLiwszI2BSktL4+uvv466devGZptt9rPjulmzZsWYMWPiiCOOyP3O/+qrr+Lrr7+Orl27xuTJk+Pzzz//xetoZTz55JNRvXr1OP300yu0n3322ZFSiqeeeqpCe4cOHaJdu3a5+xtuuGH89re/jWeeeWalLhOxYMGCOPzww6NWrVpx5ZVXVpj2S8d1V1xxRVx55ZVxxBFHRPfu3WPYsGHx5z//OV5++eXlXmKktLQ0nnvuuTj44IOjWbNmufY2bdrEvvvum/mYPfbYI9q2bbtM+8qM/ffee+/cEY0R/zd+O/TQQ2Pdddddpr38/VhSUhIREc8880wsWLDgZ5cNgJ9WY/ldAOCXWX/99aNz584xYsSIWLBgQZSWluYuEp/l8ccfj8suuywmTpxY4VoPP772wo9Nnjw53nrrrVh//fUzp8+cOfMnHztnzpyfHHCtv/76Ub169Z+dd5ZPP/00Ir4fXP9QzZo1Y6ONNspNL9esWbOoU6dOhbZNN900IiI++eST2GWXXVZovoMHD46//vWvcemll8Z+++1XYVqtWrUyr5+xcOHC3PSV9Zvf/Cbat29f4XqDX375ZYWBct26daNu3brx6aefxsYbb7zMa9mmTZvM527evHnUrFlzmfZJkybFhRdeGGPGjFnmGh8/vu7FBhtssMz8SkpKokWLFsu0RXw/iC03aNCg6NmzZ7Ro0SLatWsX++23XxxzzDGx0UYbZdYLAAD5tvPOO8eOO+64THv5pQn22muvzMcVFxdXuF9UVLTM2KqkpOQnf1//8Hd0WVlZ3HDDDXHzzTfHlClTKowN1ltvvZ+s/aOPPoqUUlx00UVx0UUXZfaZOXNmNG/ePHPaj8ch5apXr/6T48Tl+fTTT6NZs2YVAquIyF064sfjuk022WSZ59h0001jwYIF8eWXX0aTJk2WO8/S0tLo3r17vPvuu/HUU09VCO0i1sy47swzz4yLLroonnvuuejevXuUlpbGl19+WaFPgwYN4uuvv47vvvsucwz3U+O61q1bZ7avzNh/ww03rHC/fPy2vHFd69at46yzzoprr702hg8fHrvttlscdNBBcfTRR+f6ArB8wkQA1oqjjjoqevXqFdOnT49999036tWrl9nvpZdeioMOOih23333uPnmm6Np06axzjrrxJ133hkjRoz42XmUlZXFPvvsE+ecc07m9PJgLssZZ5wRd911V+a0KVOmVNgDsjIbNmxYnHvuufE///M/ceGFFy4zvWnTpvH8889HSqnCAO1///d/IyKWGaSuqBYtWsQHH3yQu7/TTjtVGFRffPHFMWDAgJV+3qxB8OzZs2OPPfaI4uLiGDhwYGy88cZRVFQUb7zxRpx77rlRVlZWof9PBcE/1Z5Syv3/iCOOiN122y0efvjhePbZZ2Pw4MFx1VVXxUMPPfSTe90CAEBlVP47+Z577skMtH54RpOIX/Y7+vLLL4+LLroojj/++Lj00kujQYMGUa1atejbt+8yv9ezavzjH/8YXbt2zezzU4FVxLLjkHItW7Zc5pqQlVmvXr3i8ccfj+HDh2eGv02bNs2N4X7ol4zratWqFeutt17MmjUrIiKmTZu2TAj4/PPPL7Oz7Io+94+t7Nj/l7wfr7nmmjj22GPjkUceiWeffTZOP/30uOKKK+LVV1+NDTbYYKWXB+C/kTARgLXid7/7XZx00knx6quvxv333/+T/f75z39GUVFRPPPMMxVO23LnnXcudx4bb7xxfPvtt9G5c+eVru+cc86Jo48+OnPaiuw5mqVly5YREfHBBx9UOJJt8eLFMWXKlGXq/OKLL2L+/PkVjk788MMPIyJWKMx85JFH4sQTT4xDDjkkhg4dmtlnu+22i9tvvz3ee++9CqeZGTduXG76qvj4448r7Ok7fPjwCkd6li9/y5Yt4913310mzPzoo49WeF7/+te/4uuvv46HHnoodt9991z7lClTVqn25WnatGmccsopccopp8TMmTNjhx12iD//+c/CRAAAqpSNN944IiIaNWq0SmOmlfHggw/GnnvuGX/7298qtM+ePTsaNmz4k48rHzess846q1Tjj8ch5VblSL1yLVu2jOeeey7mzZtX4ejE8ssrlI/7ypUfAfpDH374YdSuXXuFjo7s169f3HnnnXH99dfHkUcemdlnu+22i5deeinKysoqXFJj3LhxUbt27Z/dkfanlJ9WtrzGJk2a5E6RW27bbbeN4uLiKCoqyhzDrcy47peM/VfF1ltvHVtvvXVceOGF8corr8Suu+4at956a1x22WVrZH4AvzaumQjAWlG3bt245ZZbYsCAAXHggQf+ZL/q1atHQUFBhVPTfPLJJzFy5MjlzuOII46IsWPHxjPPPLPMtNmzZ8fSpUt/8rFt27aNzp07Z97Krzuxsjp37hw1a9aMIUOGVNgr8m9/+1vMmTMn9t9//wr9ly5dGrfddlvu/uLFi+O2226L9ddfv8I1N7K8+OKL0b1799h9991j+PDhFQaUP/Tb3/421llnnbj55ptzbSmluPXWW6N58+bRsWPHn53Pj09zE/H9NUQmTJgQ3bp1y7XtuuuuFdZh+UaBrl27xueffx6PPvporu/ChQvjr3/968/O94fK9zz94TpdvHhxhWVaHUpLS5c5ZWqjRo2iWbNmmacUAgCAyqxr165RXFwcl19+eSxZsmSZ6Vm/9VdV9erVK/xej/j+GvfLu95ho0aNolOnTnHbbbdlHnm3vBp/PA4pv+26664rvxD/v/322y9KS0vjpptuqtB+3XXXRUFBwTI7GY4dO7bCNf+mTZsWjzzySHTp0mW5l88YPHhwXH311fGnP/0pzjjjjJ/sd9hhh8WMGTPioYceyrV99dVX8cADD8SBBx6YeT3FcgsXLox58+Yt037ppZdGSik3risqKlpmPdavXz+qV68enTt3jpEjR1a4tvxHH320zPUjf84vGfuvjLlz5y6zLWDrrbeOatWqGdcBrARHJgKw1vTs2XO5ffbff/+49tpro1u3bnHUUUfFzJkzY+jQodGmTZt46623fvax/fr1i0cffTQOOOCAOPbYY6Ndu3Yxf/78ePvtt+PBBx+MTz755Gf3gl3d1l9//Tj//PPjkksuiW7dusVBBx0UH3zwQdx8882x0047LXMkZLNmzeKqq66KTz75JDbddNO4//77Y+LEifGXv/wl1llnnZ+cz6effhoHHXRQFBQUxGGHHRYPPPBAhenbbLNNbLPNNhHx/fUD+/btG4MHD44lS5bETjvtFCNHjoyXXnophg8fvtzBbceOHWP77bePHXfcMUpKSuKNN96IO+64I1q0aBF/+tOflrtOTjrppLjpppviyCOPjDPOOCOaNm0aw4cPzwW2y7suZnkN9evXj549e8bpp58eBQUFcc899yyzseKXmjdvXmywwQZx2GGHxbbbbht169aN5557LsaPHx/XXHPNap0XAACsacXFxXHLLbfEH/7wh9hhhx2ie/fusf7668fUqVPjiSeeiF133XWZwGxVHXDAATFw4MA47rjjomPHjvH222/H8OHDV+ja40OHDo3f/OY3sfXWW0evXr1io402ihkzZsTYsWPjs88+i//85z+rpcYVdeCBB8aee+4ZF1xwQXzyySex7bbbxrPPPhuPPPJI9O3bN3fEZ7mtttoqunbtGqeffnoUFhbmdnq85JJLfnY+Dz/8cJxzzjmxySabxBZbbBH33ntvhen77LNPNG7cOCK+DxN32WWXOO644+Ldd9+Nhg0bxs033xylpaXLnc/06dNj++23jyOPPDI233zziIh45pln4sknn4xu3brFb3/72+WukwEDBsSzzz4bu+66a5x88sm5sHWrrbaKiRMnLvfxEb9s7L8yxowZE6eeemocfvjhsemmm8bSpUvjnnvuierVq8ehhx662uYD8GsnTASgUtlrr73ib3/7W1x55ZXRt2/faN26dS5gW96Aonbt2vHCCy/E5ZdfHg888EDcfffdUVxcHJtuumlccsklebm4+oABA2L99dePm266Kc4888xo0KBB9O7dOy6//PJlAsL69evHXXfdFaeddlr89a9/jcaNG8dNN90UvXr1+tl5TJkyJXcEXZ8+fZaZfvHFF+fCxIiIK6+8MurXrx+33XZbDBs2LDbZZJO4995746ijjlru8vz+97+PJ554Ip599tlYsGBBNG3aNHr16hUXX3xxbmD7c+rWrRtjxoyJ0047LW644YaoW7duHHPMMdGxY8c49NBDV+go0PXWWy8ef/zxOPvss+PCCy+M+vXrx9FHHx177733T15XZVXUrl07TjnllHj22WfjoYceirKysmjTpk3cfPPNcfLJJ6+2+QAAwNpy1FFHRbNmzeLKK6+MwYMHx6JFi6J58+ax2267xXHHHbfa5vOnP/0p5s+fHyNGjIj7778/dthhh3jiiSfivPPOW+5j27ZtG6+//npccsklMWzYsPj666+jUaNGsf3220f//v1XW40rqlq1avHoo49G//794/77748777wzWrVqFYMHD46zzz57mf577LFHdOjQIS655JKYOnVqtG3bNoYNG1ZhTJalPCSdPHly/OEPf1hm+vPPP58bc1WvXj2efPLJ6NevXwwZMiS+++672GmnnWLYsGHLvaZhvXr14oADDohRo0bFXXfdFaWlpdGmTZu4/PLL449//ONPnuXmh9q1axdPPfVU/PGPf4yLLrooWrRoEQMHDoz33nsvd/rX5fklY/+Vse2220bXrl3jsccei88//zxq164d2267bTz11FOxyy67rLb5APzaFaTVvRs/ALDSOnXqFF999VW88847+S4lL66//vo488wz47PPPovmzZvnuxwAAICVVlBQEH369FltR3hWNQcffHBMmjQp87qRAFRtrpkIAKxV3333XYX7CxcujNtuuy022WQTQSIAAEAV8ONx3eTJk+PJJ5+MTp065acgANYopzkFANa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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 148, + "id": "955d056f-5773-47b5-adb4-53a5a56c5a6d", + "metadata": {}, + "outputs": [], + "source": [ + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 149, + "id": "8ff859ca-54e3-46a3-91e9-362affb319eb", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Sanazi',\n", + " 'Muningo',\n", + " 'Baluluba',\n", + " 'Kimba',\n", + " 'Amalo',\n", + " 'Shasa',\n", + " 'Mumango',\n", + " 'Sanda',\n", + " 'Mbangili',\n", + " 'Mbababi']" + ] + }, + "execution_count": 149, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 150, + "id": "ff34aff5-9011-403c-b934-51d460e1172e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mango',\n", + " 'Senindena',\n", + " 'Kalibu',\n", + " 'Andina',\n", + " 'Angola',\n", + " 'Anango',\n", + " 'Akanini',\n", + " 'Kasala',\n", + " 'Kamaya',\n", + " 'Bunda']" + ] + }, + "execution_count": 150, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 151, + "id": "769dcbfa-4685-4c6e-bdb8-03055525e38a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Kulomu',\n", + " 'Mazami',\n", + " 'Mbombassa',\n", + " 'Saluli',\n", + " 'Angala',\n", + " 'Ladanga',\n", + " 'Ngalo',\n", + " 'Lamanga',\n", + " 'Konga',\n", + " 'Mamuki']" + ] + }, + "execution_count": 151, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "02475aa8-5a63-4ef5-8e2a-c2f221ab605d", + "metadata": {}, + "source": [ + "## NORD KIVU" + ] + }, + { + "cell_type": "code", + "execution_count": 152, + "id": "dcf44c46-f4be-4278-8650-1b8d1d469cee", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"NORD-KIVU\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 153, + "id": "7e216e3b-7f05-42bd-975a-954629b87043", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 154, + "id": "38ecabe3-b496-4f57-8a5f-573abb42e620", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 155, + "id": "3c0b3cb6-2b46-4a34-9a0b-0485b0fc5577", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\")" + ] + }, + { + "cell_type": "code", + "execution_count": 156, + "id": "26574155-b739-400b-a78c-0020866616f5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 157, + "id": "3606f6b6-6afa-4e67-b72c-24b12c3ac8ab", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=3, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "id": "8caa2d8a-6c69-4738-8040-f686184c030f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=4, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "id": "d0aa7908-fb11-4d77-89f2-94aec573ac61", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "id": "d6594352-8db6-4666-95ce-3f74bd8e36a1", + "metadata": {}, + "outputs": [], + "source": [ + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 161, + "id": "df62c85a-3fe9-4cbd-89b1-9d064e16099a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Kunya',\n", + " 'Kalendo',\n", + " 'Bando',\n", + " 'Kalemamule',\n", + " 'Mbole',\n", + " 'Kandusi',\n", + " 'Kasando',\n", + " 'Kamunguusa',\n", + " 'Mbisa',\n", + " 'Muheka']" + ] + }, + "execution_count": 161, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 162, + "id": "66fb3b77-269d-4972-85af-2a8f645e1b7b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Kanga',\n", + " 'Kawavira',\n", + " 'Kamunda',\n", + " 'Kalaha',\n", + " 'Kando',\n", + " 'Kavugho',\n", + " 'Kingavi',\n", + " 'Mbumama',\n", + " 'Kaviro',\n", + " 'Kakalundo']" + ] + }, + "execution_count": 162, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 163, + "id": "dba3be94-2ee7-4a50-bf06-603aa8fe6b8c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Kalendo',\n", + " 'Kangha',\n", + " 'Malahimusasi',\n", + " 'Kalahinge',\n", + " 'Mukaika',\n", + " 'Kakala',\n", + " 'Mbaka',\n", + " 'Kando',\n", + " 'Kamba',\n", + " 'Matera']" + ] + }, + "execution_count": 163, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "25546a71-c371-4201-bf5c-164af08d4326", + "metadata": {}, + "source": [ + "## SUD-KIVU" + ] + }, + { + "cell_type": "code", + "execution_count": 164, + "id": "e0f7b08e-d99e-4bcb-a954-3bddee5614bf", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"SUD-KIVU\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 165, + "id": "fe55f265-ded3-4699-9cbe-10c6e6aa46d3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 166, + "id": "689b41d9-5cd4-40f3-8182-bbbb75575792", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 167, + "id": "0f1e8699-061d-4151-a7b1-c20fab4546f4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 171, + "id": "281d6cd3-18c6-452a-8e4a-814fa83ea647", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=3, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 172, + "id": "242c5598-eccd-464c-9f89-6ab2e6e34f37", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=4, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 173, + "id": "f6716b1d-d68f-4497-9b6e-da494aa9f63e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 174, + "id": "4a46fbe6-6096-464f-843f-3103242f947f", + "metadata": {}, + "outputs": [], + "source": [ + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 175, + "id": "85afd238-12e3-47f2-b56d-aa8efe6c19e3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mamule',\n", + " 'Babai',\n", + " 'Mambi',\n", + " 'Mbaga',\n", + " 'Kabatanga',\n", + " 'Kamana',\n", + " 'Kungasaka',\n", + " 'Munde',\n", + " 'Engangura',\n", + " 'Mukaka']" + ] + }, + "execution_count": 175, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 176, + "id": "eb526dab-c2cc-44ec-b627-3723718d9d44", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Ngebaba',\n", + " 'Bango',\n", + " 'Banda',\n", + " 'Balela',\n", + " 'Ngirantu',\n", + " 'Munga',\n", + " 'Kimaha',\n", + " 'Kalena',\n", + " 'Bukaba',\n", + " 'Simange']" + ] + }, + "execution_count": 176, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 177, + "id": "a8b7a33c-8a33-4e31-976f-bfdc4e0855ba", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Banga',\n", + " 'Ngabane',\n", + " 'Mundi',\n", + " 'Musiya',\n", + " 'Kabumungu',\n", + " 'Babamusi',\n", + " 'Banga',\n", + " 'Bindo',\n", + " 'Biranaluka',\n", + " 'Balaka']" + ] + }, + "execution_count": 177, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "d95679ac-6f23-4446-b691-af0e906fb478", + "metadata": {}, + "source": [ + "## ORIENTALE" + ] + }, + { + "cell_type": "code", + "execution_count": 245, + "id": "1f3ccb99-b87f-42ca-a165-98e88a94b552", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"ORIENTALE\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 246, + "id": "65c4b6f3-de37-4479-a1d6-9d925fd64d14", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 247, + "id": "637fb003-5d38-4b70-a5cf-b20d44d45fe9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 248, + "id": "bbb88ae7-47ce-4e56-9bec-85a5c899b8fb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Frequencies and N-grams\n", + "plot_letter_grid(df_names_region, use=\"freq\")" + ] + }, + { + "cell_type": "code", + "execution_count": 249, + "id": "2e9db6cb-20fe-420d-bb1d-511b3453b012", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 250, + "id": "f751517f-f8f5-4055-b476-5b07c0ef2aef", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=4, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 252, + "id": "b98180bd-08fe-4797-9db0-0df2f677d374", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 253, + "id": "43069ef1-f36c-4baf-b05e-c40f109d0508", + "metadata": {}, + "outputs": [], + "source": [ + "# Name generation\n", + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 254, + "id": "21df12a3-acb3-48e4-913c-fb755d18cd3a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Dikanga',\n", + " 'Isika',\n", + " 'Lindo',\n", + " 'Mboli',\n", + " 'Mboli',\n", + " 'Nganga',\n", + " 'Bunema',\n", + " 'Mabolingembo',\n", + " 'Kanga',\n", + " 'Alaba']" + ] + }, + "execution_count": 254, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 255, + "id": "42d0ab4b-9165-444e-8fbe-70482d635e25", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Amunge',\n", + " 'Bikanda',\n", + " 'Betsi',\n", + " 'Angandinga',\n", + " 'Mamama',\n", + " 'Alanidua',\n", + " 'Abango',\n", + " 'Anonga',\n", + " 'Manemba',\n", + " 'Alongo']" + ] + }, + "execution_count": 255, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 256, + "id": "99d68ab1-76e1-45ed-8134-fbcc40a8f3cd", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Bokama',\n", + " 'Tayangusa',\n", + " 'Kwone',\n", + " 'Anganga',\n", + " 'Angay',\n", + " 'Mango',\n", + " 'Kisama',\n", + " 'Bandja',\n", + " 'Bango',\n", + " 'Mango']" + ] + }, + "execution_count": 256, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "8ecfbdca-38a3-4446-ae2e-dfcaae3de6eb", + "metadata": {}, + "source": [ + "## BANDUNDU" + ] + }, + { + "cell_type": "code", + "execution_count": 181, + "id": "605b3c6d-1049-4c11-9fc8-892df9296b81", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"BANDUNDU\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 182, + "id": "cf295b2b-9f1e-463d-a71d-492df0b958b3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 183, + "id": "a9b88c52-fdd7-4d27-bfe3-d9278bc1b61c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 184, + "id": "06ea5837-797e-4ead-830e-be67dfded600", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Frequencies and N-grams\n", + "plot_letter_grid(df_names_region, use=\"freq\")" + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "id": "cbc2ef61-80a7-47e8-b4e2-c1cf52fc137f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 186, + "id": "daa4861d-9783-4da8-85ab-315932728a3a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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sWbNSShXr9fmvf/0rrbXWWmnfffdNxxxzTCooKEhnnXVWWrx4cb5Ly3TPPfek1q1bp4033jhVq1Yt9evXL73xxhv5LmuFlixZkg455JBUo0aN9Nhjj+W7nDJKX6N33313at++fWrZsmXaZpttUq9evXK/nyqq+++/P3Xu3Dntsssu6S9/+UuaNm1aSqlifG+V1vB///d/6fzzz08tW7ZMBQUF6YorrsjNqQg/R1fk6aefTl26dEmbb755evPNN1NKFeN5LfXRRx+lbbbZJq299trptddeSylVrPpSSunRRx9NhYWF6ZJLLkmPPvpoGjBgQNppp53Sfvvtl6ZPn57v8lJKKd11112pUaNGaauttkqtW7dOLVq0KPMa/TWqLL1aZeqBKktfqVcrfxW9V6uM/U9KFb8H0v+sPvfdd18qLi5Ou+66azrllFPyXc5K8X69/FT07/0fqqj9b9br7qijjkoNGzZMDz/8cB4q+nGVtVevDL3af6vo/W/pa+HBBx/MvU8pLi5Ojz/++GrZnjCxgjjrrLNSu3btUocOHdKuu+6aiouLK9Qv0lJnnHFGatasWerUqVPaYostUvXq1dONN96YexNdUfzpT39KTZo0SaNGjUrXX399OuKII1LdunXT4MGDc3Mq0i/+lL7/BVC3bt107LHHpj333DMVFxenE044If373/9OKeXvdfD444+nxo0bp2HDhqWUUhozZkyqV69e2mCDDdK//vWvvNS0ssaMGZMKCwvT7373u/Sb3/wm7bbbbqlBgwbphRdeSClVjO+ts846KzVv3jwNHz48DRo0KO28885pgw02SCNHjsx3aTmPP/542muvvVLXrl3THXfckU477bR09dVXp5RS+uabb9Kjjz6aGjdunHr16pXnSr9XGZ7TH/7xp127dmm99dZL2267bdpll13S1KlTU0r5e33+cLvvvfdeat26de7r/e9//zvVrl079evXLy+1/ZRx48alhg0bpmuuuSallNKoUaNStWrV0tFHH50mTZqU5+pWbP78+en4449PderUSePHj893OWWMGzcu1a9fP1155ZVpwYIFaciQIalevXqppKQkffrpp/kuL9NLL72UatWqlc4999x0yCGHpJ122ints88+6aOPPkopVYyf/WPGjEm1a9dOAwcOTBdddFHaa6+9Up06ddJll12Wm1NR3qdk1fHss8+mnj17pg4dOlSohurss89OnTt3TrvttluqVatWatiwYXr55ZdTShWjvqVLl6YlS5akE088MR177LFllo0aNSoVFxen8847L6W05r/+P3x+Jk+enBo1apSuueaatHDhwvTOO++kiy++OFWtWjVdddVVa7SuiqKy9GqVqQeqLH1lKb1a+avIvVpl639Sqvg9kP5n9XnuuedS7dq10xlnnJFOP/30tPbaa6eSkpL09ddf57u0FfJ+vfxU9O/9LBW5/x0zZkz68MMPc/f79OmT6tWrVyEDxcrWq1f0Xq1UZep/S91///2pZs2a6dJLL00PP/xwOvzww1NBQUGaPHlyuW9LmFgBXH755alFixbp+eefTymldNlll6WCgoK0wQYbpClTpqSUKsYLdMyYMalx48bplVdeSYsWLUpLly5N5557bqpRo0a66667UkoVo87p06enjh07lvnFOW3atHTeeeelWrVqlfkjSEX4xZ9SSi+++GJad9110w033JBSSmnmzJmpXr16af31109HHXVU7pfA6n5+R4wYkT7++OPc/W+//Tb99re/Tf37908pff88rrvuumn//fdPBxxwQGrXrl2F/IWaUkpfffVV2mGHHdKf//zn3NhHH32UevXqldZaa60K8enn999/P2200UbpnnvuyY29+uqr6bjjjkvt2rVLt912W/6K+y/PPvts2n///dMee+yRNt100/TEE0+UWf7II4+kunXr5v2PFpXhOS39ufPoo4+mBg0a5IKv22+/PRUUFKT27dvnpYn64XNTut3nn38+7bjjjimllKZMmZLWWWeddNJJJ+XmrY43Jqtq7ty5qXfv3rk/xH/00Udp/fXXTyUlJalRo0bpoIMOqlCBYumnsEtfD/Pnz0/HHntsqlOnTnr00UfzWVrO7Nmz01577ZX+8pe/pJS+/93UqlWrtPvuu6eOHTum7t27V7hPPb799ttp8ODBadCgQbmxUaNGpa5du6aePXtWiD9QzJ8/P+25557p97//fW5s2rRp6YILLki1a9eukJ94fumll3J/MC/1zDPPpL322it16NAh9zv1u+++y0d5KaWUrr/++lSnTp00YcKENHPmzPT888+nvffeO9WvXz/vTWrp17H03yOPPDL17NlzuXl9+/ZN22677RqtLetn/3333Ze22GKLNG/evNyyr7/+Ol100UWpXbt2uSOHfi0qS69WmXqgytJXltKrlb/K0KtVlv4npYrfA+l/Vp+33norjR8/Pl166aUppe+f61dffTW1bt067b777umbb77Jc4XL8369/FT07/0fqqj97w9fZx9//HEqKChIJ510Uu49Xkr/CRTHjh2bhwqzVbZevSL3alkqQ/9b6ttvv0377rtv7j3V1KlTU7t27dIJJ5xQZl55/awSJubZZ599lg466KDcD/gHH3ww1a1bN5199tmpuLg4tW/fvsJ86vX6669PnTp1SosXLy7zzXL66aenpk2bVpgfUl988UVae+2101//+tcy41OnTk2dOnVa7tQEFcF9992XjjvuuJTS901Uu3bt0nHHHZcuu+yy1KhRo3TsscemTz75ZLXWMG/evNS0adO09dZb515zKX3/ybxnnnkmzZs3L3Xs2DFX53333Zdq1KiRGjVqlO6+++7VWtuq+Pzzz1Pz5s3TqFGjcmNLly5NH3zwQe40Ginl943ftGnTUsOGDdMtt9xSZvzVV19N6667bmrevHn6xz/+kafqvvfD5+fJJ59M++67b6pSpUq69tpry8ybNWtW2myzzcqcSisfKupzeu+995b548+cOXPS0UcfnS666KKU0vev11atWqUDDzww7bjjjmmDDTZYoz/7p02blgoLC1P37t3LjD/33HOpQ4cO6YknnkjrrrtuOuGEE3I//1988cV04IEHpg8++GC11/dTFixYkFL6/ufShx9+mGbNmpW22GKLdMwxx6SUUho5cmSqVatWOvjggytEoHjbbbelKlWqpLfffjul9J/vs2+++SYdfvjhqWHDhunpp5/OS22ltSxatCil9P2RGM8//3z68ssv0yabbJL7Y8p5552XCgoK0nbbbVdhPvU4ZcqUtOuuu6ZmzZqV+cRwSt//gaJLly5p3333Te+//36eKvzeggUL0iabbJL742+pqVOnpm7duqWCgoJ0ySWX5Km65c2YMSPtvPPOafvtt1/ua/3oo4+mDTbYIG2zzTa5T2jmy1lnnZUOOOCAMmOffPJJ6tatW95Oo/PDbY0dOzadeeaZ6bvvvkvnnntu2nzzzdP7779f5vfsnXfemTbaaKP05ZdfrpH6VvSz/5FHHkm1a9de7uflK6+8kpo0aVKhTkm1ulWmXq0y9UCVpa8spVcrfxW5V6ts/U9KFbMH0v+sfl988UUqKipKBQUF6dxzzy2z7NVXX02tWrVKPXr0qFBHKHq/Xr4q4vd+lora//7w5/15552XBg4cmNZZZ51UrVq11KtXrzK/2/v06ZMaNGiQxowZs8brLFWZe/WK2KutSGXpf0vNnTs3tWvXLj333HNp9uzZaZ111ikTJF5//fVl3jv+UsLECmD8+PFpypQp6ZVXXkmtW7dOw4cPTymldOmll6aCgoJUr1695dLwfBg+fHiqW7du7pNNpT+8Jk6cmNZZZ53cJwnybfHixalPnz7p4IMPTu+9916ZZb/97W9Tt27dUqtWrdLo0aPzVOHyFixYkN577720ZMmS1LNnz3T00Ufnlm2yySapadOm6fjjj09LlixZrXVMnTo1bbrppmm77bbLnWqk1NixY9O2226b+2X6/PPPp27duqUzzzyzzCkAKoqlS5em7t27p5NOOikXNJTaY4890mGHHZanyv5j5syZaffdd09nnHHGcn84PPjgg9Muu+yStt1227yd9iGreX/uuedSjx490mabbbbcHyY6deqULrzwwhU+dk2oaM/psmXL0qeffpoKCgrSoYceWuYX+MMPP5z7Zb/lllumE088MaWU0o033pgKCgrS2muvXebTcKvbU089lVq3bp169OiRGyt9c1dUVJQOP/zwMvMHDBiQunXrtsb+6L0iTzzxRBowYEBasGBBrlG+6aabUnFxcfrss89SSindcsstafPNN09bbrllhXgzPW3atLT77run5s2b5xqq0jfNDz/8cCooKEgFBQXpxRdfzEt9Y8eOTb169SrzO+eGG25Iu+++e+4PvLfddlvafvvt02GHHVbmD0X5dumll6YNNtgg7bzzzrlPv5b65z//mbbeeuv0m9/8ZrX/Pv0pAwYMSD169FjufcpZZ52V1l133dS2bdv05Zdf5v3ooVKjR49Ou+22W+rSpctyjUjPnj1TrVq10nbbbZcWLVqUt5r/+Mc/platWuW+l0rrGDFiRCooKEhrrbVW7vqpq7tJ/eGnwEuvr7Tffvvl/oD6zTffpHbt2qUuXbqkd955J/d6/O1vf5t23nnnNXoUQdbP/vfffz916tQpnX766WW+v2fPnv3/2rvvqKqutA3g77UgCGJLsEAUaSoggqB4RbGBYm/YFbGXjBoTC+hEY0yMJnZjNKOOYWLU0VGwxyRqAFuCtLhGR2MigiPGOppYQOH5/uC7J1zBkhm45xx9fmtlrXDvBV825+y933P2eTe8vb2xe/dui8WnBXrJ1fSUA+klrzRhrlbytJqr6TH/AbSVAzH/sZxHjx5h165dcHV1RefOnYu8n5aWBltbW/Tq1Uszc0qA8/WSpKVz/2m0nv8uXLgQVatWRXx8PI4cOYJNmzbBysoKgwcPNruh2LNnT4SEhKgSo4lec3Ut5WrPQw/5b2ERERF466234OTkhHHjxinHx61bt9C3b1+sXbu2xOIsI6SKXbt2yU8//SQiIiEhIeLs7CwJCQni6+srkZGRIiLi5OQkAwYMkClTpkjNmjVVi/Pnn38WEZEePXpIgwYNZNy4cXLr1i2xsrISEREbGxuxsbGR/Px8VWIUETl37pycPn1aRETKly8vYWFh8sMPP8jatWvl7NmzIiLy66+/SnZ2tvTr10+MRqPs3btXcnJyBIDF4szPz1f+vby8PHn48KGIFLShu7u7ZGdny08//SQ9e/YUEZHr16+Lp6en/OlPf5I5c+ZIuXLlSjW+1157Tfbv3y937tyR8PBwycrKUt578OCBnD17Vi5cuCAiIjt37hQnJyeZOXOmuLi4lGpcT/N4mz569EhERMqUKSPBwcFy7Ngx2bJli+Tk5CjfU7VqVXFwcJC8vDyL/v1FRLKysuTy5csiIvLqq69K586dZd26dbJx40a5du2aiBQcqwBkwIABYmVlJYcPH7ZojCIiAMRgMMjJkydlx44d8tVXX4mIiNFolKioKHF1dZWZM2fKsmXLJDY2VqKjoyUtLU0GDBggIiIGg8FisWq5TQ0Gg9SuXVuOHDkiu3fvlqioKMnIyBARkbCwMDEajRIfHy/29vby5z//WURE6tSpIyEhIRIWFqb0EZbQqlUr+eKLLyQtLU06deqkxNK3b1+xsbGRatWqyYkTJyQtLU3eeustWbt2rSxZskSqV69usRgft23bNmnXrp0sWrRIMjMzxc7OTkQK+s6HDx8q/cGZM2dk3LhxkpiYKLVr11Yt3p07d8rFixfFyclJYmJixNfXV4KDg+Vf//qXlClTMCWrVq2aTJ48WZYsWSJ+fn6lHtNnn30mFy9eFBFR+sOdO3fKq6++ajbmZGdny9mzZ5WxPyUlRYKDg2XNmjVSt27dUo/zeU2fPl1ef/11uX//vkRFRcn169eV9wYMGCDR0dGycOHCUh9PTUxteu3aNfnll1+U14OCgiQjI0PWr18v586dU16/f/++TJgwQVJTU6V69eoW7UtFio6pprFz4MCBMmnSJMnLy5PIyEiz36VevXqycuVK2bVrl1hZWVk8ZpOuXbtK9erVZe7cuXLnzh0ljrp168qYMWOkffv2MnDgQLl586ZyvpWGS5cuybBhw6Rjx44iUjAvFSn421pbW4uIiK2trcTHx0tmZqb06dNH2rRpI71795aNGzfKihUrxNbWttTie1xwcLDS93fu3FlERNzc3KRv376yb98+WbJkiZw4cUKys7NlwYIFcvPmTfH19bVYfGrRS66mlxxIRB95JXO1kqenXE1P+Y+IdnMg5j+WU7ZsWQkNDZXly5fL0aNHZdiwYWbvN27cWI4fPy4LFy5UbX5WHM7X/zdaPfeLo8X893EA5OjRoxIRESHBwcESFBQkAwcOlC+//FK2bdsmc+fOVcbW2NhY+fLLLy0W24uUq2slV3ucnvLfJ82pRES8vLxk3bp14uHhIUuXLlWOjw8//FDS09MlNDS05OIskVuS9IcUrsFceIXArFmz4ODggJs3byI3Nxc9e/bEn//8Z+V9S9fhLRynaeXjp59+ipYtW6JLly5ITk5WNiANCgpSbeVAVFQUateujRo1aqB58+ZKOYS1a9fC29sb/v7+6NGjB/z9/dG4cWMAwNSpU9GsWTOLtWlSUhKA31dX7NmzBz169EBwcDCio6ORkpICoGCvE19fX0yfPh3nzp3D7NmzYTQaLb7yLSsrC/Xr10fTpk2Vv/2ZM2fQvXt3ODo6wmg0ws7OTnkMXQ1Pa9MZM2Yoq8dGjRqFRo0aYejQoVi5ciXGjh2LSpUqqfI4+qxZs+Ds7Aw3Nzd069ZNWRUyd+5cODg4oFu3bhgzZgyMRiOaNGkCoGBfpfbt26uy0iU2Nhb29vaoU6cO3NzcEB4errwXHx+PTp06wdraGj4+PoiOjsYPP/xg8Ri13qZ5eXnKUylHjx6FlZUVJkyYoOwDAQAff/wxKlasiGvXrgEo2JR65MiRFnsy5fF2SExMRN26ddG+fXvltQ8//BAtW7aElZUVfH194efnh9TUVIvE9yRbt25FmTJlsGrVKrRo0QLHjh1T3vvqq69ga2uL0NBQtG/fHpUqVVLl+CzMNKaOHTtW6VcvX76MTp064dVXX0VcXBy+//579OzZUynPCqBUV+Q+qWTa4MGDMX36dADmK0aNRiMCAwMRHh6OihUramLftPT0dGzatAm7d+8269c/+ugjtGjRAiNHjsTVq1dVjLCg/IyHhwfq16+Ptm3bKnO/v/zlL/D09ETbtm0xcuRIpcTP46ufLeFpY+r06dOVv/WePXsQHByMhg0b4pNPPsG4cePg4uJSomVTntemTZvw4Ycf4osvvkB+fj7y8vKU0pOTJ0/GxYsX8fPPP6Nr164YP3489u3bh5o1a+Lo0aOlHpvpSYfCTwmEhIQoe9Y9ePAAQMFeMYsWLcLEiRMRFRWlrNS2hOL6fkdHR7PV1kuXLkWrVq1Qrlw5eHt7w8nJSZmzvsj0kqvpIQcy0XpeyVyt5OkxVwP0kf8A2s6BmP+UDlPMycnJ2Lx5M9auXatUZcnLy8OePXtgb2+PiIgI1WJ8Es7XS46Wz/3HaTH/BYqe//fv34fRaFTKQhbuw6KiopTfofBTtJaYp+g9V9dyrgboK/991pzq7NmzAICxY8fCw8MDQ4YMwTvvvIMhQ4agSpUqJT528WaihT2tBnNKSgqaN2+O6tWro1GjRmjYsKHSiVq60388ziFDhuD69evIy8vDxo0b0aZNG5QtWxZeXl4IDg5WOlpLJ347duxAvXr1EBcXh3379sFoNMLZ2RnJyckAgISEBCxduhT9+vVDdHS0cvEmIiICkZGRSkmd0nT8+HEYDAYsW7YMAHDgwAFYWVlhxIgReOONN+Dk5IT27dsrG7e/8847aNiwIWrVqgVHR0fldyktpmPrX//6F5KSkpQ65VlZWfDy8kJAQIBSuun48eNYsWIFoqOjlc1m1fA8bdq6dWt89dVXAIBFixahe/fu8PT0RKdOnVTZM23z5s3KviCffPIJ3N3d4efnp0xItmzZgilTpqBDhw4YP368cqz27t0bb7zxhkXPrfz8fOTm5iI8PByff/45Ll26hI0bN6Jhw4ZmCdaxY8fQrl079O/fHzdv3rRYfCZ6aFPT+RUbG4ulS5eiQYMGMBgMiIyMVPr+s2fPokWLFsqeFhUrVsSpU6dKPbbC8R0/fhyrV6/G/PnzcfDgQcTHx6N+/fpmf+/Lly8jOTkZFy5cKFKOxtK2bt0Kg8GAmJgYAEDt2rWVsm2F23zUqFEYOXKkUi5DLY+PqUOHDlX61Rs3biAiIgJWVlaoV68e/P39lTHVEkwl0wIDA5Ukr3///pg5cyaA35O5hw8f4m9/+xtGjhyJAQMGWOwYfZrt27ejZs2aaNKkCby8vNCuXTuz8ouLFi1CcHAw+vXrZ/ELvabjMC0tDQ4ODnjvvffw17/+FQEBAahXr54yth84cABz5sxBy5YtMXDgQFXGp+cZU9u0aYNdu3YBKOj7Bw4cCDc3N7Ro0UKVm0szZ86EjY0NWrZsCYPBgP79+yMrKwsPHz7EvHnz0LRpUxgMBri5ucHb2xvA7/ucWap8UmJiImrVqoXQ0FAAQGhoqNJnFWa6EGjJub7p30pPT8f+/fsRFxeHa9euISEhAa6urmjXrp3y2UuXLuHYsWNITExUSke/yPSSq+khBzLRel7JXK3k6TFX00v+A2g/B2L+U/JMMW/fvh2Ojo7w9fWFj48PnJyclIvE+fn52LNnD6pXr45evXqpFuvjOF8vOVo/9wvTav5buA3Onz+vlAVdv349KlWqhG+++QbA78fGkiVLEB4ejnLlyiklrS1Jr7m61nM1PeW/zzunOnDgAICCPjU8PBxBQUEYO3ZsqSzO4s1EC3paDWZTcp6SkoLFixdj0aJFSqdg6ZWjT4pz4MCBysoxU6w///yz0hlbup755s2bsWrVKqxYsUJ5LTc3F61atULdunWLTeyysrIQHR2NKlWqWOzi8r1797BgwQKUL18eq1atQkxMjNlG05mZmQgLC0ObNm2U1U8nTpzAwYMHi+yFUdIKT/SdnZ3RsGFD2NjYIDIyEpcvX0ZmZia8vLzQpEkTTV1Aet42bd26tdmeC//5z39w//59i8e7fft2fP755/jrX/+qvHbu3Dl4e3vD19e32MTk6tWrmDVrFqpVq2axFUWm4+HWrVu4efMm+vXrp/zbOTk52L17d5EEKz4+XpV9gvTSpkDBU3JWVlZYtWoVtm7dilWrVil9v2n/viNHjmDatGmYOHGixVeQ/eMf/0DlypUxYMAAZTXbqFGjkJCQgNq1a6Njx44WjedZ7t27h4kTJ+Kzzz4DUHDc+vn54dNPPwWAIjX41a63/6QxddCgQWar2b7//nukpqYqY74lx9SsrCw0aNAATZo0wdWrVxEeHo7ly5cDKDj3TcmdaQ5gyZudT3Lo0CG8+uqrWLVqFQAgLi4OlSpVgru7O/7+978rn3v33XfRsWNHVcawkydPIi4uDm+//bby2pPmKbm5uaq16x+ZpxRehZ2dnY07d+5YPN6zZ88iNDRUWaGZnJwMBwcH9OrVS7lIeffuXezevRvHjh1T+oA333wTvr6+ykWD0lDckw41a9ZESEgIAgIC4OzsjLCwMAQGBqJ169YICQlB79698fDhQ4vfjNq2bRuqV68OX19fGAwGtGzZEsuWLVNuKKq9H4wa9JKr6SUHAvSRVzJXK3l6ytX0lP8A+smBmP+UvMOHD6Nq1apYt24dAOD06dMwGAxwdnZGYmIigILjeceOHahTp44m9onnfL3k6OXcB/SR/0ZHR8PLywvVqlXDtGnTsG3bNkycOBH169dXFrr8+uuv6Nq1K+Li4rBy5UpUq1YNFy9etPicXW+5upZzNRM95b//7Zzq0aNHpXYtjDcTLSQ/Px/du3fH5MmTzV4/dOgQrKysEBkZWewjspZOTp8V5/Dhw4vdwN3SF2vv3LmDWrVqwWAwKI93mzr03NxcBAcHw83NDUePHlVe//XXXzFhwgR4e3tbvDzF/fv3sXDhQpQpUwavvPKKcuKb/r5ZWVmoWbMm5syZY9G4gIJVDVWqVMGnn36KnJwc7Nu3z2zlSGZmJnx9feHq6qokTVrYXPZ52/Sdd95RM0xkZWXB1tYWBoMBS5cuNXvvxx9/RKNGjdC0aVNcuXJFef3GjRsYPnw4XFxcLH6sxsbGwsvLC6Ghoahdu7ZZybWcnBzs2bNHKZ2lFr216YQJE9CtWzez1w4fPgwrKysMGzbMLNGzdJ9/+vRp1KlTB2vWrFG+trGxUcq2JSYmwtXVFc2bN7doXE9y48YN5OTk4Pbt2wB+74s6deqEadOmKZ+bP38+oqOjLfrkRXGeNaaOGDEC58+fL/J9lj4OgILzys3NDYGBgfD19UXFihWVsbRRo0YIDAxEcHAw7t+/r/oY8ODBA0yYMAFTpkxRYnd2dkavXr3Qu3dvuLi4mK14VmMl+YMHD+Dh4QGDwYAhQ4aYvWe6QOHh4YFjx46p3p7A84+paqzILWz+/PkIDQ1Fnz59zEqhJSUlwcHBAX369Cmy+jIxMRGvv/56qZR4KexpT/sFBgbCYDBg+fLlWL16NebNm4cFCxZg4cKFqpTyS0lJwSuvvIJ169bh5s2byM7ORkREBNq2bYuVK1ciISEBdevWRYsWLSwem1r0kqvpKQfSS14JMFcrDXrJ1QB95D+AvnIg5j8lw3Qu37x5E++//74yD8vMzESdOnUwevRodO3aFbVq1VK2fMjPz7dYudin4Xy95Ojp3Ndq/lt4brF161Y4OjoiNjYWc+fOhdFoRP/+/bF06VK8+eabKFu2LLy9veHi4gJPT088evQIf//739GgQQPlOoSl6SVX13Ku9ji95L+A9uZUvJloIc9bg9n0WL9aT1I8T5zjxo1TraRHYZmZmWjevDk8PT2V+vumTvPhw4do0KAB+vbta/Y9169ft+hqp8KdeG5uLpYtW4YKFSpg7NixAAra13TyR0ZGomfPnhbt+G/fvo0xY8YonePPP/8MV1dXhIeHo3LlyujevTsyMjKQkZEBo9Fots+BWv6bNlVbQkICfHx80LJlSyU20+9x/vx5ODg4mNWIB4CLFy+W+mpnE1MsKSkpqF69OmbOnIlp06ahXr16MBqNZiubcnJysH37djRt2lRZVaSG+Ph4+Pv7IygoSJNtapKXl4chQ4aga9euSoymG1wfffQRypYti0GDBiltaemJ34EDB+Dn5weg4PyvW7cuRo8erbyflJSEgwcPwsvLy+Jt97jY2FgYjUZ4eHhgzpw5ZqUlevXqhaFDhwIoKKliMBhUKz9TmFbH1KeVTAsKCoLBYMCHH36I2NhYbNiwATExMdiyZYuqJdMed+bMGSQmJuL27dvw9/fHqFGjAAC7du2ClZUVqlWrhm3btqka48WLFxEUFAQ3NzclaS48T2nUqBH8/PxUeWLeRE9j6sOHD3H48GEYDAbUqFFDOR5Nv8PJkydRu3ZttG/f3my+cujQIYuVOy7uab8lS5YgPj4enp6emik79sUXX8DT0xO3b99W2i87OxuDBg1CmzZtcPfuXRw6dAgNGjRQve+3FL3kaoA+ciBAu2NgYczVSp5exhU95j+A9vNKgPlPSdu9ezeWL1+OgwcP4uTJk7h9+zYCAwOVvtVUAs/e3h7Hjx9XOVpznK+XHL1c/9D62B8fH49JkyZh/fr1yms7d+5ESEgI+vbtiy+//BJJSUlYtGgR1qxZo8Q+efJktG3bFv/5z39KPUa95up6yNUKxwNoe54CaDdW3kwsZXqowaynOL/++mvExsZi586dAAo6U29vb7PN503xPnr0yGx1i6UnqaZ/75///CcSExOV+JYuXYoyZcrgo48+Mvt8ly5dMGzYMIvGmZOTg61bt+L8+fO4ceMG/Pz8MHLkSAAFm+UaDAZ06tQJly5dsngZ2+LooU1N4uLisHr1aqxbtw5nz55FQkIC3Nzc0KFDB+UzprguXbqk6rEKFAzs//jHP5QV17m5uUhKSoKbmxtatmxpllDn5uaqstpxw4YNmD59Ot544w1s3bpV2dciLCxM+YzabWr6d27cuIG7d+8CKChJYm1tja+//trsM+vXr4e/vz9q1KihWhmar776Cp07d8aFCxfg5OSEMWPGKO125MgRzJw5ExkZGbh3754q8ZkkJyejcuXKePfddzF58mQ0adIEffr0waFDhwAA06dPx8iRIzF//nxYW1uX+v5Fz6LlMfVpJdMuXbqEzMxMNG7cGEFBQbh69arF4noep0+fRkJCglnyceDAAQQEBCgXpE6cOIGQkBBMnz692CdeSsvTkr4nzVMePnyolMxTg57G1NWrV2Pw4MG4c+cOkpKSULZsWYwYMQLZ2dkAfv9djh07hq5duxa50WOJC0BPe9pvxYoVSEhIwGuvvYbAwEDle9RaObx582a4uroq7Wea4124cAEGg0HpW9Xu+y1By/11YXrKgfTSpnroA5mrlS495D+A9vNK5j8lZ+/evUhPTwfwe5v16dNHKWloitHf31/ZE+3kyZPo378/hg4dqvrNBIDz9ZKkh+sfJnoY+7Ozs+Hq6gp7e/siT3ju2rUL7dq1Q8+ePc327Ltw4QJef/11VK5cGT/88EOpx6jXXF0PuVrhOPQwT9FyrLyZWIr0UoNZL3FGRUXB0dERfn5+sLa2xrBhw5TSLl5eXmjWrJkmyg8VFhsbCzs7O7i6uqJChQpYu3Ytrly5giVLlqBMmTKIiIjA22+/jTfffBO2traqbJJr6rQ///xzGI1GpQ03b96MNm3aoG7duqqvwCxMD2361ltv4ZVXXkHLli1ha2uLFi1aYPHixco+RIUnf4WpdawWLu8xdOhQ5bzOz89HUlISXF1d0aZNG1Vrr0+bNg01atTAlClTEB4eDg8PD0yaNAkJCQmoVasWOnfuXOz3qdGmsbGxyurG2bNnY9++fZg0aRIaNmyoJNQAMGPGDKxZs0bVi7UXLlxAxYoVYTAYMGnSJLP3Jk6ciA4dOuDWrVvqBPf/zp8/j3nz5uG9995TXtuzZw/atWuHHj16ID09HZ999hkMBgOsrKxw8uRJFaPVx5j6tJJpmZmZSpJSr1491fYEepyp73dzc0OFChWwZs0aPHr0CHv37oW9vT0OHz4MoKD9IyMjLbJq1OR597Rq2rSpMsZqoQQdoI8xFShIUOvVq4cJEybgt99+Q2JiIsqWLYsxY8YUSVJN8vLyLNrOenra7/z586hQoYJS0s0kIyMD3t7emnuyobToob8G9JUD6aVNTfTQBzJXKx16yH8A/eSVzH/+d1euXEG9evUwfPhwszKArVq1wuLFi5Wvt2zZgvLlyyMjIwP5+fl4++23ER4ervqxCnC+XpL0dP1DT2N/eno6PDw8EBoaWuTm4N69e+Ht7Y2oqCgABfv4rl27Ft27d7do1SM95up6yNVM9DJP0XKsvJlYSvRSg1kvcS5cuBC1atXCd999BwBYuXIlDAYDevfujaysLGRlZcHHxwfOzs4W2az1WfLy8nDjxg0EBQXh008/xY8//oj33nsPBoMBCxYswOXLl7FixQrY29ujZs2a2L59uyp75hT27rvvwtvbWyk3EBUVhZUrV2piUgrop023bduGWrVq4eTJk8jPz8etW7cwatQotGnTBmvWrEFiYiKcnJzQrFkzi8f2NMWV9zBJTk5G1apV0alTJ1Vi279/P+rVq6ec/1u3bkWFChWwadMmAAU11l1cXBAQEKBKfIU9/gSdv78/BgwYgMWLF+ONN96AlZUVgoODERQUBDs7O2XlqZri4uJga2uLGTNm4Ny5czh16hSmTp2KKlWqqDpxAgrKewUEBMDBwUGZ1Jvs2bMHrVu3Rt++fTFr1iyEh4eb7XGjBj2MqXormZafn1+k758/fz4MBgM++OADHD9+HH369IGTkxOaN2+u2nn1vHtaubm5aSLp08uYWlhMTAzc3d0xduxY3L17FwkJCShXrhzGjRun2tMNhentab+NGzfCysoKUVFR+PHHH/HLL79g1qxZeO211zTRnqVND/01oK8cSC9tCuizD2SuVvK0nP8A+skrmf+UnOTkZDRt2hSjRo1S4ujQoQM2btwIoGBe/OjRIwQGBqJ8+fIIDAyEra2tRfcZKw7n6yVLT9c/9DT2m6SlpcHPzw+jR48uUlrz6NGjZjdk79y5Y9E49ZarF6b1XE1P8xStx8qbiaVADzWY9RTnv//9bwwbNgxbtmwBUFAyo2rVqnj77bdRuXJl9O7dGxcuXMCFCxcwZMgQVZ9ENK2quH//Pu7du4eZM2ea1QJftmyZcvJfunQJixcvRvXq1VV/8gcoKM9VoUIFBAUFoX379rC3t9fERF9vbbpw4UIEBgYiNzdXeXT/ypUr6N27Nzp27AgAOHjwILp3767afjt/pLyH6fOpqan48ccfVYl3/fr1CA4OBlCQVFeqVAmrV68GUHBcfPvtt/jmm2/Qs2dPVfcwKu4Jul27dil9alxcHA4dOoTJkycjOjoap0+fVi3Wwh49eoQNGzbA3t4eTk5OaNiwIRo3bmy2J6GaUlJS4OHhgaCgoCKT/T179igJt6X3gnqcXsZUvZVMe1rfX6ZMGaxYsQL79+/HmjVrMHPmTFXKO+kp6dPTmJqYmFjkaasNGzbA3d0do0ePRk5ODhITE2EwGLBw4UKLx/c4vT3tl5+fj82bN6NSpUqoU6cOPDw84OTkpHqZaEvQS3+tpxxIL22qpz7wcczVSiZOveQ/gD7ySuY/JS8lJQVNmjTBiBEjcOrUKfTv3x8HDx4s8rnZs2fjL3/5C86ePatClOY4Xy9Zern+oZexvzim82z06NHF3oRRa06lp1xdL7maXuYpeoqVNxNLmB5qMOspTqDgJNqxYwdu3bqFpKQkODs7KzXjFy9eDIPBgLZt25qtxlUzmY6Li0PHjh3h6emJBg0aFEnyli1bBisrK8yZMwfZ2dm4ceOGSpEWdezYMQwZMgSvv/66xTa/fR56aFNTp7948WI0btxY2VPDNMAnJSXBYDAUOXcsPfn7b8p7qC0mJgaDBw/Gvn37YGdnp0ykAWDHjh2Ijo42O//VmFA/7Qk6U5/au3dvi5bH+KOysrKQmJiI1NRUXLt2Te1wzKSnp8PX1xdjxowp0jft27dP9fJeehpTAf2UTHtW379kyRJYW1tjzpw5qibSekr6AH2MqZmZmbCxscGcOXOKLBRYu3YtypYti/Hjx+POnTtIT0/XRLsC+nzaLyMjA19++SX27t2rmXG/NOmpv9ZLDqSnNgX00Qc+CXO1/47e8h+95JXMf0pPSkoKAgICMGzYMNjZ2cHFxQUhISEICQlBmzZt0L59e4waNUrZo1JNnK+XPD1c/9Db2F+clJQUNG3aFOHh4Zp6wk8PubrecjWtz1MK00OsvJlYCvRQg1lPcQJQVrB88MEH6NKli7KCZeXKlRgyZAjCwsJUnZiYJCUlwd7eHuPGjUNkZCTKly+PyZMnF9mw+YMPPkDVqlVx/fp1lSJ9MrXqVj+J3tr0n//8J8qWLYt33nnH7PUTJ07A29u7SAkdNeilvIfJmTNnYGVlBYPBgA0bNiiv37t3Dx07dsSIESM0ccw+7Qm6vXv3wtfXF4MHD8bdu3c1Ea/emFYPjho1SvWyWMXR05hqouWSaX+k769SpYrqF4D0kPQB+hpT4+Pj4ezsjLlz55rdiHv48CHc3NxgZ2eHRYsWmb2utpf5aT890VN/rZccSC9tqqc+8EmYq/139Jb/APrIK5n/lJ7k5GQ0atQIjRs3xqBBgxATE4Ply5djzpw5eP/99zWxoIDz9dKhl+sfehn7n+a7777D8OHDNTGXepyWc3VAP7maXuYpgH5i5c3EUqLlGsyF6SVO00A5fPhwtGzZErdv38b9+/fRtWtXpfQPoM6KHJPz589j9uzZ+OCDD5TXPvnkEzg5OSEqKqrIyV/4UWUqnl7b9LPPPkP58uXx5ptv4ujRozh9+jQ6deqEVq1aqT5J0VN5j8K2bdsGGxsbTJ8+HYcPH8ahQ4cQGhoKHx8fZVKilQn1k56gO3DgQJFjlv6YlJQUNGvWDAMGDFB9f8Ti6GVMNdFqyTS99v2AtpM+PbaraT+owknq5cuXMXHiRMTExKhaieJpXran/fRIL/21HnIgE623qR77QK3TS5vqNf8BtJ1XmjD/KT2pqanKlg4XLlxQOxwzejn/i6Pl+bqJXq5/aH3sfx6mdtRKn2qi1Vy9MK3nanrqp/QUK28mliKt1mB+nF7iBIDjx4+jfPny8Pb2hru7Oxo1aqSJleimEh+vvPIKZs6cafbexx9/DEdHR8yaNcssMdHCwK9lem/T7du3o1atWqhduzbc3NzQokULZXLK8h5/3KNHj7Bp0yY4OjrC0dER/v7+6Natm9KmWuqntP4End59//33aN26tep7JD6JnsZUQHsl0/Te92s16dNzuyYmJsLFxQURERFYsWIFwsLC0KFDB+V9rZ1TpB966q+1mgM9Tqttquc+UKv01KZ6zX9MtJpXFsb8p/SYSjH2799fM3tO6un8L45W5+uF6fH6h9bG/j9CS8dnYVrL1Yuj1VxNT/2UnmIFeDOx1Gm1BvPj9BInUFDuYdasWVi4cKEy2dfCpD8lJQXu7u4ICgrCqVOnzN5bvXo1rK2tMXfuXE3Eqhd6b9Ps7GykpaXh+++/VxI9LcSql/Iexbl69SrOnTuHixcvKoOnFtr0cVp/gk7vTMewVulpTAW0VzJN732/VpM+PbdrcnIywsLC4OXlhS5duigXUrR03JI+6am/1moO9Dittqme+0Ct0lOb6jn/AbSbVxbG/Kf0aHExpZ7O/+Jodb7+OD1d/9Di2P8i0FquXhyt5mp66qf0FCtvJlqAlmswF6aXOB+nhRPJ5GklPtatW4dz586pFJl+vUhtqrVzSw/lPZ5Fa21amBaTPrIcvY6pWqH3vl+rSZ+e2/XBgwe4efOmpi+kkD7ptb/W8jmg1TbVcx+oVXpr0xch/wG0mwMx/yk9WlxMqbfz/3Fana8/jVbPfUC7Yz9ZhlZzNT31U3qJ1QAAQqUOgBgMBsnPz5cyZcqoHc4T6SVOLUtNTZVRo0ZJkyZNZMqUKeLp6al2SLrHNi0dqampYjQaJSAgQKytrSUpKUkSExPFx8dH7dBeGA8ePBBra2u1wyCVcEz937DvLx0vQrvynKKSxv665Gm1TV+EPlBr9NSmzH9KH/Ofl4uezn8qfVod+8mytPb311M/pYdYeTPRgkydqtbpJU4tS01NlXHjxomLi4vMmTNHGjRooHZIusc2LR3Hjx+XTz75RCpXrizjx48XLy8vtUMieqFwTP3fsO8vHWxXoqLYX5c8rbYp+8CSp6c2Zf5DVLL0dP5T6dPq2E8vNz31U1qPVTu3iV8CeulM9RKnlvn5+cnHH38s2dnZUrlyZbXDeSGwTUuH0WiUmJgYWblyJRNpolLAMfV/w76/dLBdiYpif13ytNqm7ANLnp7alPkPUcnS0/lPpU+rYz+93PTUT2k9Vj6ZSFSKWOKj5LFNiYhePuz7SwfblYheZuwDSx7blOjlxfOfiLROT/2UVmPlzUQiIiIiIiIiIiIiIiIiKhbLnBIRERERERERERERERFRsXgzkYiIiIiIiIiIiIiIiIiKxZuJRERERERERERERERERFQs3kwkIiIiIiIiIiIiIiIiomLxZiIRERERERERERERERERFYs3E4mIiIiIiIiIiIiIiIioWLyZSERERERERERERERERETF4s1EIiIiC1i9erX4+PiIvb292Nvbi9FolP3796sdFhERERER0UuNuRoREdGzGQBA7SCIiIhedLt375ayZcuKu7u7AJCYmBj56KOPJDU1Vby8vErk3wAgeXl5Uq5cuRL5eURERERERC865mpERETPxicTiYiILKBbt27SuXNncXd3Fw8PD3n//ffFzs5OTpw48cTvOXbsmPj6+oq1tbUEBARIXFycGAwGSUtLExGRb7/9VgwGg+zfv1/8/f2lQoUKcuTIEfnpp5+kR48eUqNGDbGzs5OmTZvKN998Y/aznZ2d5b333pOIiAixs7OTunXryq5du+TatWvSo0cPsbOzEx8fHzl58mRpNgsREREREZGqmKsRERE9G28mEhERWVheXp5s2bJF7t69K0ajsdjP3LlzR7p16yaNGjWSlJQUmTdvnsyYMaPYz0ZFRcmCBQvkzJkz4uPjI7/99pt07txZDh48KKmpqRIWFibdunWTzMxMs+9bunSpBAUFSWpqqnTp0kWGDh0qERERMmTIEElJSRFXV1eJiIgQFjEgIiIiIqKXAXM1IiKi4vHZeiIiIgs5deqUGI1GefDggdjZ2UlsbKx4enoW+9lNmzaJwWCQtWvXirW1tXh6esq///1vGT16dJHPvvvuuxIaGqp8Xa1aNWncuLHy9bx58yQ2NlZ27dolf/rTn5TXO3fuLGPHjhURkdmzZ8vq1auladOm0rdvXxERmTFjhhiNRvnll1+kZs2aJdIGREREREREWsNcjYiI6On4ZCIREZGF1K9fX9LS0uS7776T8ePHy7Bhw+T06dMybtw4sbOzU/4TETl79qz4+PiItbW18v3NmjUr9ucGBASYff3bb7/J1KlTpWHDhlKlShWxs7OTM2fOFFnt6uPjo/x/jRo1RESkUaNGRV67evXq//BbExERERERaRtzNSIioqfjk4lEREQWYmVlJW5ubiIi4u/vL0lJSbJ8+XKZN2+eTJ069b/+uba2tmZfT506Vb7++mtZtGiRuLm5iY2NjYSHh0tubq7Z58qXL6/8v8FgeOJr+fn5/3VsREREREREWsdcjYiI6Ol4M5GIiEgl+fn5kpOTIw4ODuLg4GD2Xv369WXjxo2Sk5MjFSpUEBGRpKSk5/q5R48elcjISOnVq5eIFKx+zcjIKNHYiYiIiIiIXlTM1YiIiMyxzCkREZEFREdHS0JCgmRkZMipU6ckOjpavv32Wxk8eHCxnx80aJDk5+fLmDFj5MyZM3LgwAFZtGiRiPy+CvVJ3N3dZceOHZKWlibp6enKzyIiIiIiIiJzzNWIiIiejTcTiYiILODq1asSEREh9evXl/bt20tSUpIcOHBAQkNDi/28vb297N69W9LS0sTX11dmzZols2fPFhEx25ujOEuWLJGqVatKixYtpFu3btKxY0dp0qRJif9OREREREREesdcjYiI6NkMAKB2EERERPRsX3zxhQwfPlxu374tNjY2aodDREREREREwlyNiIhefNwzkYiISKP+9re/iYuLizg6Okp6errMmDFD+vXrx+SUiIiIiIhIRczViIjoZcObiURERBp15coVmT17tly5ckVq1aolffv2lffff1/tsIiIiIiIiF5qzNWIiOhlwzKnRERERERERERERERERFSsMmoHQERERERERERERERERETaxJuJRERERERERERERERERFQs3kwkIiIiIiIiIiIiIiIiomLxZiIRERERERERERERERERFYs3E4mIiIiIiIiIiIiIiIioWLyZSERERERERERERERERETF4s1EIiIiIiIiIiIiIiIiIioWbyYSERERERERERERERERUbH+D0KmBZRNMMAxAAAAAElFTkSuQmCC", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=3, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 187, + "id": "13e8aa0e-ad61-4f15-9e05-026ac4b50f1a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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q3rx5qlu3bvriiy/yUmdKhfU+LX6PFjfUO+ywQ7rvvvvSt99+mxo3blwiSLzllltK7NGXD88991xq2LBhGjp0aInp8+fPT1dccUWqUaNGOv744/NUXUl/+MMf0uabb57b8zGlH/eC23333VOjRo1K7PFWmispr776ajr22GNT27Ztc3vfp5TS5Zdfnpo1a5ZeeumlEvU89thjqVWrVnn721/ec889l5o1a5bq1KmTpkyZkpte3FC1bdu2REO1tt15552pXLly6a233spN++KLL9KIESPSJ598kj755JO00UYbpeOPPz59+OGHabPNNkstW7YsU83J4sWL0/Dhw9NFF12UUvrxFGq1a9dOI0eOTP3790/rr79+bq/N0rb33nunjz/+OHd74cKF6dRTT82dfubvf/97ql27dho+fHjaaqutUvv27dOdd95ZqjX+tGn74Ycf0uWXX56+/vrrNGXKlNSgQYN00003pW+++SbtsMMOqVq1aiUaq3xZ/nvqggsuSE2aNEk1atTIrfel9OOGgp49e6YRI0bkocL/t/yRDrfeemtasmRJevLJJ1P9+vVzezpus802qXXr1umSSy7J+/dqSj9+/nfv3j116tQp7b777iXmFTfTO+ywQ4k9ikvLWWedlerVq5duv/32dNNNN6WDDz44Va9ePfcZkNKPR4917tw5HXPMMaVe308t/310wgknpG233XaFJvSiiy5KLVq0yNvG/rVNr7b2lNVebfnainuaRx99NL377rvp66+/Tp07d05HHnlkSunHHSsqVaqUdtlll7wEioXYV6b04/O7/BGKVapUSfvvv39q06ZNqlSpUurXr1/q2rVr2mKLLdLOO++c+vfvXyrBQqGuV6SU0tdff50OOOCAVK1atbTPPvuUmFccKDZv3jzdcsstearwR4X2vfLOO++kGjVqrHAU4lNPPZUaNWqUNtpoozJzytOy1qsVK/T+tyxt/yjk/reQtikWK8u9epay2AMVwjaFLMt/Jk2dOjV17Ngxvfvuu6l58+bpqKOOyq0vvPDCC+nYY48t8TdZmvKxXUGYWAY8++yzuf8X79F97LHHpqOOOiq3EXzw4MFp0003Tccdd1zekvlnnnkm1a9fP/3lL3/JTevSpUtq27ZteuaZZ9KsWbPS/Pnz04477pj23nvvvNSY0o8r/D/3HL300kupY8eO6YUXXkgppfTaa6+lww8/PB166KGl9sf/2WefpQsuuCCtu+666eKLL85N//zzz1NKKY0cOTLtuuuu6euvv04p/bgyvcEGG6TevXvn5XzMEyZMSEVFRalu3bpp7ty5ueZvn332Sfvtt19u3JAhQ9Kf/vSnvK70F8r7dPlGdfLkyen+++9PKaV0zDHHpO233z41bdo0DRo0KC1evDillNJ3332X9tprr/SHP/whr3s8ffrpp+nCCy9M7du3L7HHa0o/7hHXtGnTVFRUlNuzPB+Kn58bb7wxdejQIXcdluLpU6dOzR1Nk68VvxkzZqShQ4emtm3bpvHjx+emb7nllqlt27bp+eefTwsXLkwp/Xiqgs6dO5eJPZ1mzZqVLrzwwlS/fv3cRrRixad8qVOnTho+fHip1PPhhx+mXr16pUaNGuU+v5ctW5ZrRoYMGZL233//3Hfr8ccfn5o1a5Z222233B6dZcFnn32WPv744/T++++nTTbZJHeU0rRp09K6666bmjVrlsaOHVuqNb311lvp2GOPzX0GpfRjM/Xqq6+m2bNnpzfffDNtvPHGuVD+oYceStWrV08dO3ZMDz30UKnWmtKPnz/FinfOOOKII9LJJ5+cewyDBg1K2223XYmV/3wo/p5a/m+/V69eqXbt2mnatGnp448/TjNmzEi9e/dOW2yxRYkdIvJh+QaleD3lgAMOSIMHD8491/37909NmjRJBxxwQN73IL3uuutSjRo10jnnnJO22mqrVL9+/RWuvzV79uy00047lfp69axZs1KXLl3SuHHjctM++uijdN5556UqVaqU2MnlmWeeKRN7OD/33HO5/994441p4403ThMmTCixUf/BBx9Mm2++ed6PdFpb9GprViH0asX1TZ48Oe21114ppR+P9Ejpx+v7dOnSJX3wwQcppR+PJu7atWvaaqut8nKN80LrK4uf2+Lns/hz7qWXXkq1a9dOdevWTaeeemq6/fbb05gxY9KoUaPSTTfdlF577bVSrbOQ1iuW99RTT6X9998/Va9efYWjqd555500YMCA1LZt2zR//vy8fVaV5e+VrNfxk08+Sd26dUvnn3/+Cv1Ynz59UteuXdPWW2+du85jPpW1Xm15hdr/lrXtH4Xa/xbSNsWfKou9epay2AMV2jaFn1tH7dy5cyoqKlph54HTTjstbbPNNnlZp8rXdgVhYp4VXy/lpxeZ3X///dMBBxyQ+zLdb7/90qRJk/J23YDbbrstHXfccalatWqpadOmuY0gixYtSttuu21q3rx5atKkSdp8881Thw4dch8UpVnnv//97xK3n3jiiTR06NB03nnnpdtuuy03feLEialq1app2rRp6Ztvvknnnntu2nvvvXNNQmlZuHBhuvTSS1Pt2rVXeP2HDh2adtppp1zTd+qpp6abb7451xSWpuI9nw4//PAVPnxGjx6d1llnnXT66aenAQMGpPXWWy+98847pV5jsUJ4nz777LO5FbsffvghLVmyJLVv3z7dfvvtKaUfN1p06tQptW3bNtdQLVu2LJ155pmpefPmK7zPS8sll1ySa/xmzZqVLrrootS2bdsSK9QzZ85MhxxySLr//vtL9e9pZc37q6++mqpXr55OPvnk3GdpSj++Br/73e/SgAED0g477FCqTWrx8/Kvf/0rnXPOOalp06apYcOGuT2Ev//++7TVVlulZs2apQ4dOqRevXqlWrVqldiYn29z5sxJF110UWrduvUKDdWCBQvSAw88UKqv/8cff5x23XXXVK9evRU2Mvbr1y8NGDAgd3vQoEHpyiuvzOtRI8UuueSS3IWxi5+ve+65J7Vr1y73nnz88cfT7373u3T11VfndSPVNddck7t+W/Ge42PHjk1bbrllbo/Rv/3tb2mPPfZIp59+eqnUuvwyHnnkkcxry2633Xa5va8XL16c9ttvvzRu3LjMa0uVlpV9T82bNy/3t7/uuuumrbfeOnXt2jX3PVXa6yjFshqURYsWpR49epR4rQ888MD00ksv5W7nawPl5MmT0x/+8IfcDjpffPFFOuGEE9LWW2+dO91fsa+++qrU6/38889T3bp106WXXlpi+syZM9PWW2+dioqKctcKK5bPv/3iPuWaa67JTdt1113TxhtvnG655Zb0/vvv506n2KdPn7wHyWuDXm3NKeu92g033FDisy6lH4O4Qw45JKX0/5/D119/fWrbtm16++23U0opnX322WnkyJF5OwVrSoXTVxa/3x544IG01157pX79+qW//vWvufWef/3rX6latWrpgAMOKPWNcoW4XrGyv9/nnnsu7bvvvqlDhw4rBIrvvfdeXnf8KMvfK8u/frNmzSrRL5x99tmpXr16ady4cbmAa+7cuWmfffZJo0ePTltssUWZOPIrpbLXqxVq/1uWt38UWv9bSNsUixVSr55S2e+BUiqb2xSK/fRa0s8++2waOXJkuu6663Knsn755ZfTpptumrbeeuv08ssvp4ceeiidcsopqWbNmnk5g1w+tysIE/Pop9dLWX5v5DPPPDO1adMm9e3bN22xxRZpk002yb3gpf0hdfrpp6dGjRqla6+9Nl100UWpW7duaeONNy5xnuUJEyakm266Kd166625OktzT/q77rorderUKXfqm0mTJqVy5cqlXr16pa233jpVrVo1HXzwwbkPyh122CFVqlQpdejQIdWuXTu9/PLLpVZr8ev37LPPpvPOOy+tv/76qaioqMRh5iNHjkybbrppOuyww9JBBx2UqlatmvvQLU1/+9vfUlFRUbrjjjvSl19+merXr5/ee++93PM4e/bsNGLEiNSxY8fUs2fPvK7wFcL79JFHHkkbbbRRGjFiRK4J+fbbb0tcg2Hx4sVp1KhRqVOnTqljx45p4MCBaY899kh16tQp1ffp8t5///3UpUuXVLdu3dxrXLxC3apVq7T33nuniRMnpp133jnttddeK5y6dW1afuXn+uuvT0OHDk3nnntu7mjEu+++O5UvXz4dc8wx6aGHHkpvvvlm6tOnTzrttNPSO++8k4qKilY4Zc3a9ve//z3VrFkznXbaaemEE05Im222Wdpoo43Sn/70p9yYm266KY0YMSKNHDkyL3/7y3v44YfTn//853TXXXflLtj82WefpZEjR6a2bdumYcOGZf5eaTZUH3300QoN1bfffptOPPHEtPPOO6cLLrggnXzyyWm99dbLvTfyafm/qeVPPzdhwoTUqlWrdOutt6bPP/887bbbbunkk08u1b+pn/rss8/SlltumdZff/30/vvv56aPGTMmtW/fPj3xxBNpwYIFaffddy9xmsa1ua6y/H3fcMMN6ZprrklFRUWpadOmafLkybkxF154YerYsWPad999U7du3VL79u1zz2E+Qo+VfU8tf/2YyZMnp7vuuiv94x//yD3OfB2Z+NMGZfmN7AcddFBq1qxZOvroo1PXrl1T27Zt87aeWmz5U3sVX9sqpR/fw8XN9PKnASy2turNut/Fixenww8/PO27774rfLYff/zxqUePHqlp06a5HYzy6ad9yvLXGt5nn31S+/btU9WqVVPHjh1Tp06dcg1qvjemrEl6tTWnrPdqs2fPTvvtt19q2bJluvvuu3PTjzvuuHTooYeWGPvqq6+mOnXqpC5duqRtttkm1apVa4VTyZaWQuoriz3zzDOpYsWK6aSTTkrbbrtt6tSpUzrppJNyR3W+9NJLqVatWqlHjx65oz/XtkJcryhe3j/+8Y901llnpbPOOqtEKP/000+n/v37p/bt25c43WU+Fcr3yjnnnJNat26d2rRpkw477LDc9MGDB6dGjRql/fbbLw0bNixtu+22aauttkoppdS3b98VTilYWgqhVyu0/rcsb/8oVij9byFtUyxWSL16SmWvB8pSFrcpFBs7dmzq169fLjyeOHFiqlChQtp2223TxhtvnBo1apROO+20lNKPZznr0qVLatSoUdpkk03S9ttvn5d1wHxvVxAm5slZZ52V29P7T3/6UzrooINS9erVS5ya5Nxzz03HHntsOvbYY3MveGl/OL333ntpk002yV28OaUf9yY76qij0oYbblhihXV5pV3nlClTUr9+/dJOO+2U/va3v6UTTzwxt1fmwoUL02OPPZbq1atX4oLTo0ePTn/605/ysqIyYcKEVLVq1TRixIh0wQUXpH79+qVq1aqV+IA/5ZRT0p577pl69eqV/vWvf5VqfcuWLUsff/xx2mSTTXJ7N8yYMSNVq1Yt81og8+fPz52qJh8K5X2a0o9NyFZbbZUuvPDC3BGKnTp1KrHS9N1336XJkyengQMHpr322iudeeaZub2fS9uZZ56ZunfvnnbeeedUpUqVtO666+ZOOzVnzpw0fvz4tMkmm6RNN9007bzzzqW6p/vyKxann356qlevXurRo0fq0KFDWn/99XPP2QMPPJBat26dmjRpkpo2bZo6d+6cvv322/9r797jcr7//4G/3uVQkw6yLEqpq6STkiI1E0JIpGEOkSZnsSFizLIP+SDTJqcNc9psUZvDfIypyOHSiclM08l5YnIM9fj90e9677q6cti+ut7v1/a832673ea6rvLyfl/v1/v1eL1e79cLt27dgouLi8byZXXt1q1b6NSpExYsWCC+lpOTg6ioKNjb20u+h0lNMTExsLOzg7OzM9566y107NhRDCNXrlzBokWL4ObmprG3p1SKi4vRu3dvWFhYiIEqOzsbgwcPRtu2bdGuXTtZhJParqlTp04BqK5nBwwYAGtra7Ro0UKjI0VXnVS1/T0nTpxAUFAQbG1txWW/zpw5Aw8PD9jZ2cHa2lqSJ11iY2NhYWGBjRs3Ij4+HkFBQTA2NhaXRLl48SIWLlyI4OBgRERESPqU39+9T0k1MPMyAUU1KDZs2DBZDCQ9b2mva9euYerUqbCzs8OXX35Z52VRPw7nz5/H2bNnxT9//fXXaN26NWbMmCHep8rLyzFgwACsXbsWgwYNwrBhw/Do0SPJnvR7Vk5Rn9l86tQpJCcnY+/evZIMTtU1ymqvFg9ZTdUea9OmDXbs2AGgeqm9iRMnAoDGNXn8+HFMnz4d77//PvLz83VSvmeRe65UV1xcjA8++EBjm4FFixahY8eOmDRpkjigePz4cTRv3lxjjyVd4KldAVQP0JiZmWHgwIEICQmBk5OT2OEJVA8oDh8+HFZWVkhLS5OkjCpyvq+o37M3bNiAN954A+vWrUN8fDyaNWuGrl27iuVYs2YNIiMj4e/vj4iICHEloX79+iE2Nlbn920eshpv+VfO/R81yTn/8tanqCL3rF4bOWUgFZ76FL7++mt4enpi6NCh2L9/PwYNGoRVq1YBqF7mev369TAwMMDs2bPFn8nLy8PVq1fFVR90SQ79CjSYKIFr167By8tLa7+UefPmae2Xok6KgF5aWgozMzOtSicnJwe2trawtLTU+KJK2Yl05MgRDBgwAL169YKrq6vGjAyg+qmwRo0aSb6R6/3799G7d2+N5RFKS0vx4Ycf4rXXXtNY+urp06dam5HrkqqCr6qqwqNHj+Ds7CzOzgSAxYsXSx5MAD6+p+ohc8qUKfDy8sLHH3+M4uJi+Pr6St4RUZt169ahUaNGOHbsGG7cuIHjx48jODgYxsbGUCqV4ucePXqEoqIi8Wav67rq+vXrmDx5sjhr/eeff0bv3r1hamoqNqpLS0uRn58PpVIpllMVvnS5sXt5eTns7Oy0Zobl5OSgTZs2sLKy0pihKWWjdPny5WjevDmOHz8OoHqpD0EQ4ODgINYNV69eRWxsLIYNG6bzwa6SkhKUlJRodDKWlpYiKCgITZs2FTvvb926hfv370vS0KvpedeUKqQWFRXh8OHDSE5O1nkHvXrdWPOY5eXloXv37rC1tRWP+dmzZ7Fjxw5s3LhRLKOuynr58mU4OjpqdEDcvXsXI0aMgLGxsbgcSU1SDXb81fuUlNf+iwKK+r9Bff8LOQwkPW9pr8uXLyMhIUGnnb6zZs1C8+bN0axZM3Ts2BEXLlwAUF0XuLq6wsvLCyEhIfDy8kLbtm0BVC9B6OPjI1nn9N/NKVKVty5QVqsbcs1q6vVtbm4uIiMj4eTkhD179mDp0qWIi4vDvXv3xCVtnz59Kos2BcBXrszPz0enTp1gZ2encW0B1QOKHTp0QHR0tPg0oq7Lylu74vjx47C2tsbq1asBVD8xa25ujnr16mHMmDHi5w4ePIjIyEiNPSB1jZf7yr59+/Dll19qrMSQnZ2Nli1bIiAgABUVFVpl++OPPzB37lyYm5vrbE9XFblmtZp4yr9y7f/gOf/y0qcIyD+rP4+cMhBPfQoqqamp6NChA8LDw9GpUyf8/PPP4nsPHz7EmjVr0LJlSxw+fBiAtPWUHPoVaDBRAi+zX4p6g0rKL+mNGzcQGBiI999/X1zDWOXtt99G586d4e3tjQMHDkhUQs3jc/jwYYSEhEBPT09sWKuUlZXBzc3tmY1VXXnw4AFcXFwwbdo0jddLSkrQvXt3CIKgtaa1Lt24ceOZgytt27bFypUrAVQv/yEIgmTL+qjj4XsKaN4Qo6Oj0bFjR0ybNg2NGzdGSEgIIiIiMGHCBIwdOxZDhw5FXFwcnjx5IlkdEBMTg9DQUI3XiouL0b17d5ibm9d67nXdSbV582YYGRnBx8dHnM0MVHeG9+7dG2ZmZlpPdebm5mLQoEF4/fXXdT5T78GDBxgyZAjGjh2r9V2NjIyEtbU1fH19JW/4X7lyBWFhYfjqq68AVD/daWRkhNmzZ8PX1xetW7cWZ72WlZXpbI8o1e9PTU2Fm5sbWrdujWbNmmnMcL906RKCgoJgaWmJM2fO1Gl5/qoXXVO1LeMmRQf9ggUL4OvrCzs7O4wbN04MT2fOnBEb/6pBEXW6LOvFixdhamoqdu6p6p4bN27A1dUVVlZW+PHHHzXeo/bUy3mZgFJzFrlUx1ZuS3up3wN37tyJVq1aISUlBXv37oWvry9sbW2RlZUFoPqJkYSEBAwaNAizZ88WO87Dw8MxatQojU5LXXqZnKJe5/6TljVVoaz2avGQ1dS/x1lZWeKAopGRESwtLeHg4ABra2soFArY2NjA09NT63hLQe65sqZJkyahSZMmGDFiBO7evavx3n//+1/xqe0nT57ovG7hrV2xZs0ajBs3DkB1W7JVq1YYNWoUEhISUL9+fY0nFKXczxPg475SUFAAQRAgCALWrl2r8V5OTg5sbGzQo0cPje/ttWvXMHToUNja2uo8U8o1q9WGl/wLyLP/g8f8y2OfIsBPVgfkl4Fqw0OfgnqdmJycDA8PDwiCgJ07d2p87rfffkOLFi209taWghza/jSYKAG575dSUlKiUfEnJCTAxMREY9Pe8vJyhIWFYdWqVfDz80NsbKwkZa2tMZSZmYmgoCC4ublpVQAdO3YUl1eQsvE/Y8YMBAUFaZ3/mJgY2NraolWrVrh586bOy7hz5044OjqidevW6Nq1q8Za1lVVVfDx8UFCQgI++eQTGBgYiB1iUuD9ewpUb4atUCigUCgQGhqKqVOnYvz48Rg+fDiGDBmiMRtGCrGxsbC2ttYKzBs2bIAgCGjSpIlYRqk6Ew8dOoRevXrByMhIDEyqchYUFCA4OBiCIKC0tFR8r7i4GLGxsRrLztUFVTn++OMPjSU7kpKSYGZmhpUrV+L3338XXx83bhzi4+Nl0TkFAAcOHEBhYaE4I1e11EN8fDwEQYCRkZF4XAHd1amqsJyYmIjz58+L5fnwww/FhuelS5fQqVMnODg4aDw5JTW5XlPqf9eSJUvQpEkTLFq0CMuWLYNCoUBAQABSUlIAVHeoBAUFwdDQUGdP9T7rWHTp0gV9+vQRB2Gqqqrw+PFjhIaGwsHBAcbGxhr3MV3j6T6lTg4B5WXIeWmv7du347PPPhM7S4Dq9v+bb74JGxubWttPpaWlmD17NkxNTSW9/8s9p+iC3I8BT3WL3LOaeltNfZBAqVRi7NixsLe3R3h4OH755RccOnQIqamp+OGHHyR9yqsmuebKZ/197733Htzd3fHxxx+Le8irrFixAoWFhXVeNt7aFerHUrWazePHj3H8+HE8fvwY3bp1E/f2KykpEffOVC3RKzW516lA9aTfPXv2wMbGBgMGDNB6Pzc3Fw0aNMDUqVM1Xj979qzO9vasSY5Zjff8K9esxlP+5alPsSa5nv+a5JqB5N6n8DL27t0Ld3d39OjRA+np6eLrT58+haenp1jP6prc2v40mKgjvOyXMmfOHNja2kKhUCA4OFj8uxcsWAALCwsEBwcjKioKvr6+aNeuHQBg+PDh6Natm2QBRalUIjk5WeNR+bS0NPTv3x9OTk5ISEjAzp07MWvWLBgYGOD8+fM6L+ONGzfE2SJA9d4Wbdq0QUxMjEZ5pkyZgiVLloh76elSbm4uLCwssHDhQnzxxRdo3749FAoFTp48Kd4URo4cCUEQtJZ50DUev6cnTpzAihUrsGrVKo1lcqZNm4aOHTvi448/luwphGfJzMyEh4cH5s2bpxH2Dx06hLFjx2LQoEFwc3NDWVmZTspTW4OtsrJS3ATZwcFBvJGqjvsvv/yC6dOnay2ToKvGX0pKCjw8PNCxY0cMHjxYfH3BggUwNzfHiBEjEBsbizFjxqBp06Y66UB5ntTUVBQUFGi8tmLFCvTr10+c1bx161a88847mDdvns5n4l27dg39+/fHkiVLAFQ3quzs7NC5c2fo6+sjNjZWvI6uXLmi8bSqHMjtmqopKysLy5Yt01jesqioCD179kRAQIDYgD169CimTZumk/Ovfq1evHhR4xrZtm0bfHx8MGnSJPG1x48fIywsDBkZGXjzzTcxcOBASZae4ek+BcgvoLyInJf2Ki8vh6WlJQRBEJ8MUf39jx8/RufOnaFQKHD06FHx9bt372LChAlwdXWVZG8bXnJKXeLlGPBUt/CQ1YBnt9WysrIQFRWF1q1bY+/evTotU214ypUvyj/R0dHw8vLCwoULtQYU6xpP7QrV0roqZ8+ehYWFhcZg9oULF+Dm5ibeD69du4Z33nkHX3zxhVabXpfkXKc+Kwc+fPgQu3fvhomJCcLDw7Xe//XXXyVf0lvuWQ3gL/+qk2NW4yn/8tSnWBs5nv+a5JyBVOTYp1CT6rjk5eXh4MGDGk/H7ty5E97e3ggICMDWrVtx9OhRzJ49G6+99pok91U5tv1pMFEHeNkvZfv27bC0tMTWrVuxatUqODg4wNPTU6wov/rqK0ybNg09evTA+PHjxRl7qieqpJiZsWvXLhgbG6Nly5ZQKBQICwsT30tLS0NQUBAMDAzg7u6O2bNn4/Tp0zovo/rMnICAAHHm2tq1a+Hs7IyAgABERkZi6NChMDMz05qtpwunTp1CSkoKPvjgA/E11Qx6e3t78Sa/fPlyCIIg6dIJPH5Pv/32WxgbG8PPzw+urq6oV6+exrIDkyZNgo+PD2bPnq3zQK1u27ZtWLJkCbZu3YqqqipUVlaKS6VER0ejuLgYFy9eRN++fTF+/Hjs3bsXb7zxBo4ePVrnZVM/b2lpadizZw8OHDgg1pFKpRKdOnWCs7Mzrl+/DkB79qWugr9655mRkRHmzp2L+fPno1WrVhrLYm3YsAGjR4+Gh4cHevbsKdnm6CpFRUUQBAHjxo3TmGE7Z84cWFhY4NatW3j8+DH69++PuXPniu/r8j5VVlaGTz75BCUlJbh27RpcXFzw7rvvAgBmzpwJQRAwY8YMyYO+ipyvqZqOHTsGQRCgr68vrrGvOo6lpaUwMTHBJ598ovVzujrWMTExcHZ2RqNGjTB+/HicPn0alZWVWL58Odq2bQsXFxdMmjRJbEs9efIEo0ePRt++fXVSPnW83afkGFCeR25Le9V2vlRLtzk7O4szstX31XFycsLbb7+t8TM3b97ElStX6qSMz8NLTqlLvBwD3uoWQL5Z7XltNS8vL/HJmZycHIwZMwbNmjUTZ9NLiYdcqfIy+adjx46IjY1FeXm5zssn93bFf/7zHwwbNgxXr14VX8vMzESbNm0A/PkdLiwshJmZGT766CM8evQIs2fPhp+fn6RPesm5TlWvB7/++mssXboUH374oTjoXllZid27d8PY2BgjR46s9XdIde+Tc1bjNf/ykNV4yb889Smq8HD+1cktA9VG7n0K6pKTk2Fubo7XX38dHh4eeO+998T3du3aBTc3N+jr68PPzw8jR45EXl6ezsso17Y/DSbWMV72S0lOTsbmzZvxxRdfiK/9+uuvcHV1hYeHR60zL27cuIE5c+agSZMm4nIbuqJaciQsLAybN2/GpUuXsGXLFrRp0wbdunUTP5eZmYmuXbti8ODBuHXrlk7LB9Q+M6dVq1bi+d+/fz/mz58Pf39/vPPOO5KsFf7o0SM4OjpCEAQMHz5c4z3Vzd/BwQEnTpwAAEmDCW/fU1X53njjDfFx+LKyMmzZsgWGhoaIiYkRPxcZGYmAgADJjm9sbCwMDQ3h7+8PQRAwePBglJaW4smTJ4iLi4O3tzcEQYBCoYCrqyuA6tm8dnZ24trnujB9+nRx7xo9PT3069cPBw8eBACcPHkS/v7+cHNz0wjeUsjNzcXBgwc19qm5cOGC1nf16dOnePTokcYyMFKYN28ePvroI7Ro0QL16tVDeHi42BDNzs5Gx44dYW5uDjc3N7Rp00YcmK3LhmlVVZXYqLx586ZWR9PixYvRtWtXscNvyZIlcHJywuuvvy4OKEtJ7tdUzYbl06dPkZCQgEaNGokN6crKSvFzPXv21Ghg1zX1QLF9+3bY2Nhgx44dWLt2LRwcHNCvXz+cPHkSVVVVyMzMRGRkJEJDQzF27FixLfXOO+9gzJgxOt17lrf7lFwDyovIZWkv9X//gQMHsGvXLqSmpgKoDsyurq7w9vYWZ4mryvH06VON77hUT/fxklPqEi/HgLe6Re5ZDXh+W02981upVGLy5MmSPeXFU65UkWP+4a1dkZqaCkEQMGHCBPEpjgMHDsDT01P8TFVVFR48eICFCxfC2NgYdnZ2aNq0aa37eukKL3VqTEwMrK2t0bVrV3Ts2BFWVlbiYEdVVRV2796NJk2aIDg4WCfleRE5ZrWaeMu/csxqvOZfnvoUVeR4/l+GXDKQitz7FGpTVVWF8vJyBAYGYvPmzcjPz0dcXBw8PT0REREhfm7fvn1o1aoVJk+erPM2KiDvtj8NJtYhXvZLKS0tRaNGjSAIgtaG96plM7y9vTWWUykrK0NERATs7Ox0OptIVRHevn0bt27dwqBBg8QLpKKiAt9//z1at26tEVLT0tJw6dIlnZVR5Xkzc2qe/8ePH0u6rnlxcTH8/PygUCjEoKw+g97NzQ1ubm6SLmfF0/dUXWZmJlq3bq31Hdy0aRMMDQ1x+PBh8TX1suvS+fPnERgYKAaorKwsWFhYYMCAAWJIuX//Pr7//ntkZmaKDYH33nsPHh4eOmu4rl+/HhYWFjhx4gRu3ryJ3Nxc+Pr6IigoSGyYHj16FE5OThg2bJhOylSb27dvi0vc1WwoqQKVj4+PLAa8gOqGp5mZGdLS0nDkyBFs27YNDRo0wLBhw8SnZLKzs7Fs2TIsXbpUDKd1NXtsz549Gh1gycnJ6NChA+zs7NC/f3+sX78eQHUHVGBgoPi56dOnY+PGjVpLQklB7teUeqN/3759+Prrr3H+/Hmx8a+npycupQNU31+dnZ0xb968Oi0XACxatEhj+a7Dhw9j5syZ4nkHqpdN8/LyQnBwMI4cOaL1Ox4+fIj3338f5ubmOHfuXJ2XWYW3+5ScA0pt5La0l3p7aNasWWjRogU8PT1hYGCAkSNHorS0FCUlJXBxcYGPj49GsFeRchY5LzmlLvFyDHiqW3jJai/bVlMt86wa8JAKT7kSkFf+4bFdoWqn7d+/H3p6ehg3bhzu3r2LlJQUuLm5aX3+wYMHUCqV2LFjh2T79wH81KmffvopLC0txfLs3LkTgiDAysoKGRkZAKrrsm+//RaBgYGS7o0GyC+r1Ya3/Cu3rPZPyL889CmqyO38v4jcMpCKnPsUaqP63j148EBcZluVz+7evYuVK1eibdu2GgOKu3btkmQpZrm3/WkwsY7wtl9Keno63N3d4e/vL1Y8qnIVFBTAwsICo0eP1viZ4uJiSdbj3rVrF1xcXBAYGIjmzZtrNOgrKiqwe/ducfkMqbzMzBxHR0dkZmZKdiP95ZdfoFQqxU1lnzeD/smTJ5IGE5W0tDR4eXnBz89P9t9TFaVSCT09Pfz0008A/ixvaWkp7OzssH37dsnKBlQvoRMYGIiBAwdqNEKVSiUsLCwwcOBAjf0uACAjIwMTJ06EqampTuuqKVOmYODAgQD+bLicPXsWTk5O4lIflZWVOHPmjOTLfPz000/w9PSEj4+P1szQgoICNG/eHAEBAZKH06qqKvTr1w/R0dEarx86dAgNGjTAqFGjdNoBfu3aNbRq1QoRERH47bffcPbsWTRu3BgLFy7E4sWLMWHCBDRo0ABJSUnIyMiAnp4eIiIiEBYWBlNTU0mePq6Jp2tq1qxZaNSoERQKBerVq4fPPvsMV69eRUJCAvT19dGnTx9MnDgR/fr1Q5s2beq8c/L8+fMYPHiw+P0qKSnBa6+9BkEQEBcXp/FZVcdfaGgo9uzZI75eUFCA6dOnw9XVVZKZ+bzcp+QeUGqS89Je8fHxsLS0FCe1JCYmQhAEhIaGorS0FKWlpXB3d4etra1sOtF4yyl1gbdjQFnt1XuZttpbb70leVuNh1xZk1zyD6/tCtVye0D1IIOenh6mT5+OpKQkdOjQAUeOHMHBgweRk5OD3NxcfPfdd5KvyiLnOlX9uiguLsacOXPE5fdSU1PRuHFjJCYmom/fvrC2tkZmZqbW75CqHpBbVnseXvKv3LIaz/mXxz5FuZ3/F5FzBlKRW5/C86SmpqJDhw5iWR4+fCi+V15ejpUrV8LLy0tjWX6pyLlfgQYT65Dc90tJSUlBUlIS1q9fj/PnzyM9PR0KhQI9evQQP6Mq76VLlyRdjkn192VnZ8Pc3ByxsbGYMWMGWrVqBV9fX43KqKKiAsnJyfD29hZnlUjhZWbmeHp6alReurJr1y7Y2tqiTZs2MDQ0xKhRo8TNml1cXODt7S02SqUOpRs2bMDMmTMxdepU7NixA2lpaWjdujV69eolfkZu39P8/Hykp6fj4sWLqKysREhICMLCwjQaHo8ePUK7du2wadMmnZZR3ZMnT/DTTz9BEAQ0a9YMv/zyC4A//x2nTp1C8+bN0a1bN7EOA6rDS2RkZJ3OHq0ZMqqqqhARESGe98rKSvG637ZtG0xMTLSClK4aUOqbN+/btw+pqam4fv36c+vUixcvasySlsrDhw/h6+uLqKgoAJrHddasWRAEAWPHjhWXItFF+MvKykL79u0xceJEzJkzB9OnTxffu3PnDhITE9GgQQN88cUX2LJlC958802EhoZKsoZ9TXK+ptTLUVVVhcLCQvj7+yMzMxNlZWX473//C0EQsHjxYly5cgWJiYkwNDREp06dcPToUfF7Udd7j6rK+P333+PmzZtQKpVo2bIlevTooRXeTp48CSsrK8yaNUvj9dzcXJ3uPcfTfUqdnAOKOjkv7XX58mWMHDlS3LskOTkZZmZm+OCDD2BiYoLQ0FAUFhaisLAQw4cPl3yiizq55xRdkPsxoKz26svHY1sNkHeulHv+4a1doSrv77//Li5xePDgQejp6cHU1BQWFhZwdHRE06ZN4eDgABsbGzRt2lQWnfRyr1Pnz5+PtWvX4siRIygpKcHPP/8MhUKBxMREAH8+oVi/fn1Z5ApAnlkN4LdOlWtW4zH/8tSnqCLX8/8scs1APPQp1FbekydPwtDQEFOnTsWQIUNgamqqtZT13bt3ER8fjzfffFOSzMNLvwINJr5ivOyX8v7776Np06bw9/dHo0aN0KlTJyxbtgzp6emwt7fX+KKqk7IT5NSpU/j2228xf/58ANUz3JRKJRQKBfz9/TVC6uPHj3X6qL/q3PEwM2f//v0wNTXFmjVrUFFRgb1792qsEV5SUgIPDw8oFApJlodVN2PGDDRr1gzTpk1DWFgYHB0dMWXKFKSnp8PS0hK9e/eu9eek/J7u2rULRkZGUCgUaNiwITZv3oy1a9ciICAAISEh2Lt3L/Lz8xETEwMLCwtJHpkHgKSkJAwbNgzl5eVQKpXQ19fH6NGjxVmtqu9pZmYm+vbtqxVM6rKzQv38FRQU4PLly6isrERaWhoEQcC3336r8fkdO3agXbt2+OOPP+qsTC/yzTffwNzcHB4eHhAEAf7+/lixYoVYp/bs2VP8rBwa0wUFBeITMp9//jkaN26MH3/8EcCf5Vu+fDnCwsJQr149LFiwQKfly8rKgo+PD2xsbDBx4kSN9/744w+MHj0aQ4cOBVDd4JN6+TFA3tcUoNm5UFZWhl9//RWzZs3SuN5WrFgBQRAQHx+P0tJSfPbZZxAEQVyuSleN/qtXr6Jly5YYOXIkysrKkJmZCWtra4waNQqnT5/W+Gx+fr74b5BipjNv9yleAoqK3Jf2evjwIXbu3Inbt29DqVTC1tYWn3zyCQBg2bJlEAQBAQEBGk8kStlG4SWn1CVejgFltVePl7YaT7lSRe75h6d2BVB9PFWDx3PnzsXNmzeRnZ0NfX19DBw4EPn5+SgrK8ODBw9w+/ZtSTOQXOvUVatWictGqv6ezp0748CBA+JnvvrqK/j7+4tt9R9++AHR0dGYP3++Tju6ayP3rAbwU6eqyD2r8ZR/eepTVJH7+a9JrhmIpz4Fdbm5udi/fz8WL14MALh37x6++eYb2NraIjQ0VOOzd+/elWSPRJ76FWgw8RXiZb+Ub775BpaWljh16hSqqqpw+/ZtvPvuu+jSpQtWr16NjIwMWFlZwcfHR6fleh715V1GjBihMRNCqVTC3t4eXbp0keRxaVVZeJiZc+fOHURFRYmNzYsXL8Le3h5hYWEwMTFBv379UFRUhKKiIvj6+mrMxtE11Wa3qmXDduzYgYYNG2Lbtm0AqpcasLOzQ/v27SUro7rKykqUlZXBz88Pa9aswYULFxAXFyc+5r9u3ToMHjwYenp6cHJygkKhkGQJPpWkpCS0atUKEyZMwL1795CRkQF9fX1ERUVpNahUKisr6zz0qR+TmTNnwsnJCebm5ujcuTMSExOxdOlSGBgYYOPGjbhy5QquX7+OoKAgBAUFSXZdZWdno2nTpli/fj1u3bqFq1evIjw8HAEBAUhMTER6ejpsbGzg5+cnSflqmj17NlxcXNCkSRPMmDED33zzDSZPnozWrVvjf//7H4DqBlTfvn2RkpKCxMRENGnSBMXFxTo9xnl5ebC1tYWTk5PWzPHY2Fi0bdsWFRUVOivPi8jxmqpNbGwsvL29YWJiAnd3d3FGpsqKFStQr149zJ07Fzdu3MCSJUvQoEEDxMfH67ScWVlZ8PLywujRo3Hr1i0cOXJE7Pg7c+aM1uelaETzdp/iKaAA/CztpWp7Llq0CH369BE7dRMTEzF8+HD06tVL8iW9AH5ySl3i5RhQVnv1eGmr8ZQrAb7yDw/tCqC6nCYmJvjoo48QHR0NDw8PhISEoLCwEMePH4eenh4mTpwoi6fE5VqnXrx4EVZWVoiKihKXK3z48CEUCgVSUlLEzyUkJMDIyAglJSW4fv06goODMWXKFJ2V81l4yGq81KnqeMhqPORfnvoU1fFw/lV4yEC89CkAmnu6vv/+++LrDx48EAcUaz41r2u89SvQYOIrwtN+KfHx8ejQoQMeP34sdm5cu3YNoaGh4uyhgwcPol+/frLo/FCpbXkXlaysLJiZmSEoKEiSsvEyM6eiogI7duxAQUEBysrK4OnpicjISADVS0UKgoCgoCBcunRJ8tl4n3/+OTp37gygulOlcePGSEpKAlAdBg4fPowff/wR/fv3l/R7qmpcPHz4EA8ePEBsbKzGLJbly5ejXr16WLFiBa5fv46CggLk5+dLXg8AwKZNm+Dg4ICxY8fi/v37SE9PR7169TBu3DhcvnxZp2VRhb4xY8agoKAAO3fuxBtvvIGUlBRs3LgRM2fOhIGBAaZMmYKkpCQ0aNAA1tbWcHR0RLt27cTOKSm+C1u3boWzszPu3Lkjfh+uXr2KoUOHokuXLrh//z4OHToEJycnSffvBKobJS1atMCuXbuwYMEC+Pr6YvDgwUhISMB7770HfX19uLq6ws7ODs7Oznj69Cm+/vprODk54c6dOzov7+nTp+Hm5oZRo0ZpbEofFRWF7t27y2KzeXVyuqZU1K+J7du3w9LSEitXrsTUqVPx2muvYfr06VpPMyxcuFAM/48ePcKHH36IJk2a6HyGXnZ2Njw8PDQ6/mxtbRESEiL5MkkAP/cpgL+AAsh3aa+aVPV+REQE/P39cefOHTx8+BB9+/YVlz+VsnwAXzmlrvB0DCirvXo8tdV4yJW85h+5tysKCgoQFxeHhQsXiq/t3r0bXbp0QXBwMIqLi3H8+HEIgoCpU6dKOtlD7nVqdnY22rdvjzFjxogDik5OTjh48KD4mfv378PX1xeCIMDe3h4uLi6S7uUF8JPVeKpT1ckxq9Uk9/zLU59iTTycf0CeGYi3PoWag8A//fQTvL294e3trfG9fPjwIZKTk2FsbIwRI0bUebmehad+BYAGE18JXvZLUV1My5YtQ9u2bcWbkOpCUiqVEARBa6kPKb6of2V5F9Xnc3JycOHCBZ2XlbeZOarH8zdv3gxfX19xRsv27dvRpUsX2NjYSLrXpMqmTZswbNgw7N27F0ZGRmJFClTvZzB79myNYCJlhZqSkoKePXvC2dkZTk5OWmvXJyQkoEGDBoiNjZW08ZeRkaE1g2nDhg1wcHDAmDFjUFFRgYyMDHFJAl3LycmBl5cXoqOjMW7cOCxfvlx8786dO/j0009hZGSE3bt34/z580hNTcWePXvEOlWqxur27dthb28vzmhTlaOwsBCCIODQoUMAqmc+SSktLQ1TpkzB559/Lr6WmpqK7t274+2338YPP/wApVKJpUuXYvXq1WKDNTo6GgEBAZItoZSdnS2G5lGjRmHs2LEwNzfX+ebntZH7NaXu8OHDmDBhgsY+RZ999hmsrKwQExOj1fhXr1MfPXqEsrIynZVVnarjLzIyErdv38ahQ4cwYMAAWTSiebpP8RRQeFjaqzbHjh1D/fr14erqCgcHB7i5ucmiE4WXnFKXeDkGlNXqDi9tNZ5yJS/5pya5tivu3LmD9u3bw8LCQmvPxu+//x5vvfUW+vfvj8LCQiiVSuTn50tUUn7q1OzsbHGg4+TJkwgODhafQlWfiBofH4/du3dLnil5ymq81Kk8ZTV1cs6/AD99irydfx4yEA99CqpjdezYMSQlJeE///kPDhw4gLS0NDg5OWkswQxU11OpqamStVEBvvoVABpMfCV42y/l7Nmz0NfXx4cffqjx+vHjx+Hq6qo1k1TX/s7yLlLidWbORx99BFdXV3FWyKxZs5CYmCj5bDyVc+fOoUGDBhAEARs2bBBff/DgAXr27InRo0fLYu19pVIJY2NjjBs3DqNGjUL9+vURHR2tdRNdvHgxTE1NxdlDulZSUgJDQ0PMnz9fa1mcdevWQV9fH+PHj0d5eTny8vIk+66qNh83MzNDXFycxntlZWUICQnBpEmTtH5Oyjq1oKAADRs2xNy5czVeLyoqgqurK44dOyZRyf509epV2Nvbw9jYGAkJCRrvfffdd+jatSv69++PkydPiq8XFhZi4sSJMDEx0eq41LXTp09DoVDA2toaixYtknRfIBVeringz/NvZGSEFStWaLz36aefwsrKCrGxsVqz8qVupKpkZ2fDy8sLoaGhuHv3rvi61OXj5T4F8BNQeFja63mysrIwZ84cxMfHi9e81G0/3nJKXeDtGFBWe/V4aKsB/ORKXvLPs8i1XZGdnQ1HR0f4+fnh559/1nhvz549aNu2LYYMGUL3lb8gOzsb3t7eGDBgAARBQMuWLeHq6goPDw84OzvD0dERM2fOlLycvGU1HupUnrJabeSYf2uSc58ib+efhwzEU5/Ct99+CxMTEwwZMgS+vr7o0KED3n33XaSnp6N58+aSrZTxLDz1KwA0mPjK8LJfisrGjRtRv359vPfeezh69Cjy8/MRFBSEN998Uxbl5GF5F3W8zMxRl52djYYNG8LPzw/dunWDsbGx1oxSqX3zzTcwNDTEzJkz8dNPP+HQoUMIDAyEu7u7eLOXskItKCjAvHnzsGjRIvG1VatWwcrKCrNmzdJq8Emxia+6tLQ02NraYsGCBRrLODx58gQKhQJGRkZYunSpxutSOH36NGxtbdGuXTutfVUiIyPRq1cvScr1PFu2bEGDBg0wa9YsXLhwAdevX8ecOXNgbW0tmyUz8vLy4OjoiMDAQK3AuWfPHri6uoozof/44w+sW7cO/fr101heRUqnTp1CYGAgbty4IXVRRLxcU8Dzz/+qVaugr6+vMcAkNydOnMDIkSNl0UZRJ/f7lAoPAYWXpb3+Cqk7JlR4yyl1gbdjQFnt1eOhrQbIP1fyln+eRa7tiry8PHh4eCAqKkprQHH//v2yGVDgqU5VPeXl5+eH2NhYHDhwAPv27cOWLVvw5ZdfyuZezVtW46FO5Smr1UaO+Ved3PsUeTn/PGUgHvoU8vPz0bJlS6xevVr8s6GhoTj5ISMjA/b29vD19ZWymFp46VcAaDDxleFhv5SakpOTYWlpiebNm0OhUKBTp06S7jumwtPyLjXJeWZObTIzMzF8+HBMnDhRK6zIwdOnT7Ft2za0aNECLVq0gJeXF4KDg8XjKeWscdVSNE2bNkVsbKzGe59++ilatGiBOXPmaHw/5VDxZ2RkwMrKSqNBdeXKFUyePBmbNm2SzdMIeXl5aNu2LcLDw8XlPMrLy9GpUyeMGTNG2sLVoqqqCtu3b0fjxo3RsmVLODo6wsrKCllZWVIXTUNubi48PT0xZswYrWv+6NGjGue/vLxcdh30qg42OeHlmgKef/6Tk5NlVdbaqOpQObWl5HyfqknOAYWnpb14xGNOedV4PAaU1V4tXtpqKnLMlbzmn2eRY7sCqO6gb9euHd59911xvz+54a1OzcnJgbe3N6KiovDrr79qvS+XQSSeshovdSpPWa02csy/6uTepyj3889jBpJ7n8L+/fvh6ekJoLqNamNjo9GHqFQqcfDgQbi4uMhqT1ee+hVoMPEVk+t+Kc9y9epV5Obm4uTJk2JDT+ry8rK8S23kPjOnNpWVlbIOeQBw48YN/PrrrxqP8Mvh3GdnZ8PBwQF+fn7i/gsqSUlJMDAwwIIFC2RRVnUZGRmws7NDeHg4Vq5ciV69eqFHjx7i+3K5SWVnZ8PZ2RmWlpYIDg5GWFgYPD09xZupHL+3RUVF+OGHH7Bnzx7ZLO1Vk6qDYsyYMbV2UMjl/POEl2sK4P/8y/G6B+R7n1In14DC29JePOMtp9QF3o4BZbVXj4e2GiDfXMlr/nkWubYrsrOz4ePjgyFDhuDcuXNSF+eZeKpTs7Oz0b59e4SFhclmkkNteGur81Cn8pTVeCT3PkW5nn+eM5Cc66n//e9/6N27NwoLC2FlZYWoqCixPEeOHEFsbCyKiook39P1WXjoV6DBxDogx/1SXpZcZo7JfXmX55H7zJx/Arl8T4HnL0Wzfv36Wmc+ykFWVhZ69eoFFxcX9OnTR7YDdGfOnIFCoYCrq6vGzDFe6lS5Uu0fIvcwzRNerimAzr8uyOk+VZMcAwpvS3vxjOec8qrwfAzkUrfwnNV4ItdcyWv+4c3Jkyfx1ltvae33JTc81aknTpxARESEbOrSZ6G2+qvHU1Yjr55czz/PGUiu9VRhYSFee+01CIKAKVOmaLw3efJk9OjRA7dv35amcH+DHO9XAgAwUqeePn3K6tWrJ3UxuBQXF8d27NjB0tPTmZmZGZs9ezZr0aIFGzt2LKtfv77UxXumqqoqJggCEwRB6qIQHcjJyWHvvvsua9euHZs2bRpzdnaWukgvpaKigj148ICZmpoyQRBkW1cplUq2fv16tnr1aiYIAquqqmJ6enpSF4t7J0+eZKtXr2br16+n4/mK8HJNMUbnn/xJLnVqXl4ei4iIYO3bt2fR0dHMxcVFfC8zM5N16NCB6evrM8YYu3v3LgPAjI2NpSruP4ac6yldoWPw9/Ga1Xgi11zJa/7hzaNHj5iBgYHUxfhL5F6nAuAiU1Jb/dXjKauRV0+u55/nDCTXeio1NZUNGzaMTZo0iUVGRrKKigq2adMmtn79epaRkcFcXV2lLiLXaDCRyFpOTg7z9fVl7du3ZwYGBkypVLKMjAzm7u4uddEI0ZCTk8PGjRvH7Ozs2Pz585mTk5PURfpL5B6meAl9vKHjWnd4OKZ0/oncqDqnvby82NSpU7U6pysrK8UwTQiRHmW1fzfe8w/591K1geWO2up1h47pv5vczj/PGUiO9VRlZSXbvHkzi46OZsbGxqxx48asQYMGbMOGDczT01Pq4nGPBhOJ7B07doytWrWKmZiYsPHjx2vM0iBETpRKJZsxYwbbvn07s7S0lLo4/zi8hD7e0HH9d6PzT+QmJyeHjR07ltnY2LAlS5awVq1aSV0kQshzUFb7d6P8Q0jdorY6If8OPGcgudZTly5dYkVFRczIyIhZWVmxpk2bSl2kfwQaTCRckOvyLoTUxONSNIQQQoicyHXJHEJI7Sir/btR/iGEEEL+7ygDER7QYCIhhBBCCCFEVuS4ZA4hhBBCCCGE1BXKQETuaDCREEIIIYQQIjtyXTKHEEIIIYQQQuoCZSAiZzSYSAghhBBCCCGEEEIIIYQQQgipFT0vSwghhBBCCCGEEEIIIYQQQgipFQ0mEkIIIYQQQgghhBBCCCGEEEJqRYOJhBBCCCGEEEIIIYQQQgghhJBa0WAiIYQQQgghhBBCCCGEEEIIIaRWNJhICCGEEEIIIYQQQgghhBBCCKkVDSYSQgghhBBCCCGEEEIIIYQQQmpFg4mEEEKIBBYvXswEQWBTp06VuiiEEEIIIYQQQv4/ymqEEEKINhpMJIQQQnRMqVSyNWvWMHd391f+uwGwp0+fvvLfSwghhBBCCCH/dJTVCCGEkNrRYCIhhBCiQ/fu3WPDhg1j69atY2ZmZi/8fGZmJvPw8GAGBgasffv2LCUlhQmCwHJzcxljjB0+fJgJgsD27dvHvLy8WMOGDdmRI0fYb7/9xkJCQlizZs2YkZER8/b2Zj/++KPG77a1tWULFy5k4eHhzMjIiNnY2LDvvvuO/f777ywkJIQZGRkxd3d3durUqbo4FIQQQgghhBAiG5TVCCGEkGejwURCCCFEhyZOnMj69OnDunfv/sLPlpeXs+DgYObm5says7NZXFwci4mJqfWzs2bNYosXL2bnzp1j7u7u7N69e6x3797s4MGDLCcnh/Xq1YsFBwezkpISjZ9LSEhgfn5+LCcnh/Xp04eNGDGChYeHs+HDh7Ps7Gxmb2/PwsPDGYBX8u8nhBBCCCGEEDmirEYIIYQ8Wz2pC0AIIYT8W3z11VcsOzubKZXKl/r8tm3bmCAIbN26dczAwIA5Ozuzy5cvszFjxmh99qOPPmKBgYHin5s0acLatm0r/jkuLo7t2rWLfffdd2zSpEni671792Zjx45ljDE2b948lpSUxLy9vdnbb7/NGGMsJiaG+fr6suvXr7M33njjb/27CSGEEEIIIUTOKKsRQgghz0dPJhJCCCE6UFpayqKjo9nWrVuZgYGB1vvjxo1jRkZG4n+MMXb+/Hnm7u6u8XkfH59af3/79u01/nzv3j02ffp01qZNG2ZqasqMjIzYuXPntGa7qu8F0qxZM8YYY25ublqv3bhx46/8cwkhhBBCCCGEC5TVCCGEkBejJxMJIYQQHcjKymI3btxg7dq1E1+rrKxk6enp7NNPP2WXL19m06dP/9u/v1GjRhp/nj59Ojtw4ABbunQpUygUzNDQkIWFhbHHjx9rfK5+/fri/wuC8MzXqqqq/nbZCCGEEEIIIUSuKKsRQgghL0aDiYQQQogOdOvWjZ05c0bjtYiICObk5MRiYmJYs2bNxJmlKq1bt2ZbtmxhFRUVrGHDhowx9tLL7hw9epSNGjWKDRgwgDFWPfu1qKjo//4PIYQQQgghhJB/EMpqhBBCyIvRMqeEEEKIDjRu3Ji5urpq/NeoUSNmbm7OXF1da/2ZoUOHsqqqKhYVFcXOnTvH9u/fz5YuXcoY+3MW6rM4ODiwnTt3stzcXJaXlyf+LkIIIYQQQgghf6KsRgghhLwYDSYSQgghMmVsbMy+//57lpubyzw8PNicOXPYvHnzGGOs1r081C1fvpyZmZmxTp06seDgYNazZ0+NZXsIIYQQQgghhPw9lNUIIYT82wgAIHUhCCGEEPJytm7dyiIiItidO3eYoaGh1MUhhBBCCCGEEMIoqxFCCPlnoz0TCSGEEBn78ssvmZ2dHWvRogXLy8tjMTExbNCgQRROCSGEEEIIIURClNUIIYT8m9BgIiGEECJj165dY/PmzWPXrl1jlpaW7O2332Yff/yx1MUihBBCCCGEkH81ymqEEEL+TWiZU0IIIYQQQgghhBBCCCGEEEJIrfSkLgAhhBBCCCGEEEIIIYQQQgghRJ5oMJEQQgghhBBCCCGEEEIIIYQQUisaTCSEEEIIIYQQQgghhBBCCCGE1IoGEwkhhBBCCCGEEEIIIYQQQgghtaLBREIIIYQQQgghhBBCCCGEEEJIrWgwkRBCCCGEEEIIIYQQQgghhBBSKxpMJIQQQgghhBBCCCGEEEIIIYTUigYTCSGEEEIIIYQQQgghhBBCCCG1+n8MhkV3FJphlAAAAABJRU5ErkJggg==", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=4, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 188, + "id": "0748532c-5bb3-4e8c-83ac-8ed42b961ec0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 189, + "id": "19136a1b-73ba-4ab3-b530-65d5388cd3fd", + "metadata": {}, + "outputs": [], + "source": [ + "# Name generation\n", + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 190, + "id": "bf89df8f-2cd7-43b2-9fb5-4a8074a75d9b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Ngokanga',\n", + " 'Memango',\n", + " 'Makia',\n", + " 'Isangu',\n", + " 'Mubamo',\n", + " 'Manda',\n", + " 'Nganga',\n", + " 'Ingango',\n", + " 'Mulatanga',\n", + " 'Makika']" + ] + }, + "execution_count": 190, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 191, + "id": "dd84be5c-90b9-40a8-ab87-085756c5595b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mbata',\n", + " 'Ayangi',\n", + " 'Munga',\n", + " 'Bitowa',\n", + " 'Mbema',\n", + " 'Mbalo',\n", + " 'Kendi',\n", + " 'Lukungondamu',\n", + " 'Mayona',\n", + " 'Mbongo']" + ] + }, + "execution_count": 191, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 192, + "id": "34ce8bac-1d2c-4761-8735-172cb3c4a238", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Manta',\n", + " 'Malekenge',\n", + " 'Makelenga',\n", + " 'Manga',\n", + " 'Tenka',\n", + " 'Kanga',\n", + " 'Mimandi',\n", + " 'Masinki',\n", + " 'Shanga',\n", + " 'Mamanga']" + ] + }, + "execution_count": 192, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "c9888ec0-43fc-4843-924a-d5534366d023", + "metadata": {}, + "source": [ + "## BAS-CONGO" + ] + }, + { + "cell_type": "code", + "execution_count": 193, + "id": "d49b9583-fccc-4492-b6c3-90affc15533b", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"BAS-CONGO\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 194, + "id": "c366571e-3364-4215-9930-88fa6d4dac6c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 195, + "id": "95bb3418-0ccd-40f3-bcc7-6bb053529d11", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 196, + "id": "707193f6-5c32-4a50-847a-98a69f55f1db", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Frequencies and N-grams\n", + "plot_letter_grid(df_names_region, use=\"freq\")" + ] + }, + { + "cell_type": "code", + "execution_count": 197, + "id": "9ae1dfca-c860-4c4d-b883-eeb43fbedc99", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 198, + "id": "fb091630-f4a9-487a-ba96-1a8b9528f97b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=4, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 200, + "id": "2e31ef38-ad54-4466-bd48-4c1efec22111", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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2227ptNNOS19//XVKqer8n3rggQdS48aN0wUXXJBOP/309NOf/jQ1atQoPfLIIyml/3v817WysrLctt999920bNmy9NRTT6XDDz887bTTTrmffb7yrcqDDz6YmjRpkg444IB05JFHplq1aqVhw4alzz//PN/RMj388MOpqKgoXXnllWnw4MHp+OOPTzVr1kzDhw/Pa66nnnoqNWvWLF1++eUppZSefvrpVFBQkE4++eR00kknpTZt2qRtt902vfjii3nNubzy38lnn302/eY3v0lbbbVVqlOnTjrllFPS//73v5RS1fn/X27MmDGpfv36acCAAel3v/td2mWXXVKnTp3SW2+9tc6zfPv/9IMPPpgaNmyYTj755HTCCSekLbfcMv3qV79K06ZNW+fZspTn/Xbu//73v+nggw9O++yzT7rnnnvyEW2VyjP/9a9/Tc2bN0977LFH6ty5cyosLExjx47Nc7pvTJo0KbVt2zadeOKJ6dVXX00PP/xw2mijjdKjjz6aRo8enS677LJUt27ddO655+Y76kotWLAg/fGPf0y1a9dO5513Xm48H3+/ysrK0tKlS1cYSymlzz//PA0YMCDtvPPOaeDAgVXm7+vKcrz66qvp5JNPTj/96U/T3XffvY5T5U91mmeUq6rzt+owx6jOr4erwzzz26rD/K2qzt2+S1V8r6k6zDHmzp2b9txzz7Tnnnum++67L7399tupffv2adiwYWnSpElpxIgRaZtttknbbbddWrJkSUqpav78yzONGTMmbbXVVqlDhw6puLg43XzzzXmbGy//Ozd27NjUsGHDdPXVV6e33nor/fKXv0wbbrhhGj58eJo/f35e8q3MX//619S4ceN07LHHpnPOOSfVrFmzwhyzqpk0aVIqKChIN998c0oppSeeeCLVrVs39enTJ/Xr1y9tscUWqXPnzlXmdVxVmhN/H2PGjEn16tVLl1xySRo6dGg67LDDUrt27dLUqVNTSvn/m1Wd3hc5+uij02233Za7ft5556WGDRumLbfcMtWuXTsddthh6W9/+1v+AqZv/ibstdde6bLLLksppbRw4cL02WefpZEjR6Z//etfVe75qtzDDz+c6tWrlzp37py22WabVFRUlB577LG1ct/KxDwaN25c2mGHHdKkSZNSSik98sgjqWHDhmm77bZLzZo1yz0RffvNh8q0ZMmS3BPPl19+WWHZI488kvbdd9902GGHpWeffXadZfo+Zs2albp165aGDBmSUkrp008/TW3atEklJSVp2223TaecckqaOXNm3rKVK39sf/GLX6RevXpVWO/hhx9OBQUFFZ5I823ChAmpRo0a6eabb05jx45N1113XWrXrl06/vjjq8xkf3nvvPNOGjp0aLr++utTSt88yV977bVp1113TaeeemqVmZB+8cUXabfddkuDBg3Kjb3yyivp5JNPTo0aNUpPPPFESil/b3im9M3/94033jiNGjUqpfTN89UhhxxSJd9AKf95TpkyJbVs2TL96U9/Siml9NVXX6XatWununXrpt/97nfpiy++yGPKFS1atCgdeOCB6Ze//GVubPHixemyyy5LNWvWTH/84x/z9rv6wQcfpAsvvDB17NgxXX755emmm25Kv//973PL582bl3bddde03Xbb5f5fVYXfh8cffzwVFBSkoUOHpvvuuy/16dMnbb311ql3795V5oVz+eP0ySefpF122SU3yfv6669T48aN81rOlL/eePHFF9Mmm2yS+7+0aNGiVL9+/dSmTZt0yimn5H1iV/4YPvnkk+mCCy5Ixx13XBozZkzuDf133303VyiWP4dVNf/85z9T06ZN0+23355SSun9999PBQUFqWHDhlWmBH3ggQfSLrvskk4//fT0y1/+Ml155ZW5ZQsWLEh33XVXKi4uTnfccUceU/6foUOHVsiY0jc5b7vttlRQUJAuvfTS3Pi6fL76dtF06623pjPPPDOdffbZafz48Smlbyap5513Xtpll13SxRdfXCWeT8vde++96eGHH64w9sorr6RTTjklbbfddun//b//l6dk605VnmekVD3nb1V9jlFdXg9X53lmueowf6vKc7eVqYrvNaVUfeYY06dPT4cddlg64IAD0kUXXZSOP/74XHGYUkr//ve/0zbbbJN69uy5zrOtjkceeSQVFxenG2+8MX3yySfpd7/7XapTp04aNGhQ+uyzz9ZZjvICu9wnn3ySunTpkq655pqUUkoffvhh2nzzzdM222yTatasmf7whz+kOXPmrLN83+W9995LW2yxRYXnz3r16qULLrggj6lWrfxnffvtt6frr78+XX311bll06ZNS8cff3zab7/90pQpU/KSryrPib/LG2+8kbbffvt06623ppS+yb/RRhul1q1bp2bNmuU+CLGun1u/rTq8L5JSSn379k2FhYXpnnvuSVOnTk0dOnRI//znP9PChQvTv/71r3TwwQenrl27pscffzxvGT/99NPUsWPHNGLEiPTxxx+nCy+8MO29996pXr16afvtt0/Dhg2rUn//U0pp/vz5aciQIbn3Gj799NPUt2/fVFRUlP7+97//4PtXJubRiy++mPuk9KOPPpqaNm2ahg8fnl566aXUpk2b1Lp169yLv8o2ceLECtcnTZqUTj755PTKK69UGB87dmzq1KlTOvDAA/P2RydLWVlZuu+++9K0adPSrFmzUocOHdLpp5+eUkrptNNOS8XFxalHjx7r/JPDw4YNS1tssUV6+eWXc2OLFy9OnTt3Tr/4xS9SSt88gZd/SvSiiy5KnTp1SnPmzMnrk1H5ts8444x0yCGHVFh27733ptatW6eePXuu8PuRT2+99Vbaa6+9Ups2bdKf//zn3PhXX32VrrvuurTLLruk0047LX311Vd5TPmNTz/9NG200Ua5F0zlXn755bTNNtukJk2arPOjU5b/BPZ9992XCgoKUq1atdKvf/3r3DoTJkzIvYHy73//O3e7fBgxYkQaOHBg7vrChQvTPffckxt7//33U5s2bVL//v3T1VdfnWrWrJmuv/769Omnn+Ylb5avv/46derUKZd52bJladmyZWnhwoWpR48eqWHDhmnYsGF5y/fRRx+l3/72t2n77bdPrVq1yr1gLn++mjNnTtp4443TxRdfnLeM5crKytLixYvTcccdl04++eQKy6699tq05ZZbplNPPTX3Zu+6/r295557csVcuVmzZqXtttsuffzxx+ndd99NG220UerTp09u+T/+8Y/08ccfV3q2G264IR133HG560uXLk0TJ05M/fv3Tyl982bKJptskvr27ZtuvfXWVFRUlPr06VPh71o+PPjgg6lBgwbp1FNPTQcddFAqKSlJffr0SR988EFK6ZtC8bDDDks77rhj3suOP/zhD+n+++/PXV+4cGG6/vrr0yWXXJJSSmnGjBmpdevW6Ywzzki//vWvU1FRUfrrX/+ar7gV/n/cf//9aZdddkmNGjWqcHRfSt+84XfMMcekU089dYXbrWsLFixI5513XioqKko33XRThWXz589PP//5z1NBQUGFv2nrwmWXXZbat2+f3nnnnZRSSgMGDEiNGzdOBx10UNp3330rlJxffPFFGjBgQCopKVnnOZe3/FG/06dPT3vvvXfaa6+90rhx4yqs98orr6T27dunLbfcMjdRXV9V1XlGdZy/VfU5RnV6PVxd55nLqy7zt6o4d1uVqvRe07dV9TlG+Rvs06dPT927d08tW7ZMO+200wrr3XzzzWmHHXZIpaWl6zri9zJr1qx02GGH5T5o9f7776fNN9887b777qmgoCD99re/XScfhHn00UfTlltuma677rrc2EcffZT+8Ic/pE8//TSVlpamDh065J63evXqlZo1a5auvfbaKnHEz1tvvZV23XXXlFJK//nPf1aYs73++uv5irZKV155ZapRo0Zq3rx5Gjp0aIVlb7zxRmrXrt0K45WpKs+Jv69XX301d+T8jBkzUvv27VOfPn3SCy+8kDp27Jjatm2bnnvuubzlq+rvi2S56KKLUp06ddK5556bm1eWe/7559Puu++ee92dr7ynnHJKatiwYWrcuHE68sgj06233poWLlyY9t9//xUy59tLL72UGjRokHbeeecK87evv/46V96Wf6vCmlIm5tlnn32Wli5dmg466KAKbyh36dIltWzZMh100EGVnmHSpEmpRYsWuTcOU0rpj3/8Y9piiy3S6aefnl577bUK6//pT39KDRo0SPvss09ePuG6sieP8k+uXXvttenAAw/MfXXD8OHDU8eOHdPRRx+9zv8Iff7552njjTdOu+++e3rllVdy2a+44oq08cYb574urvwF63XXXZc6depUZb6C5je/+U3q2rVrWrp0aYVPrVx55ZWpfv366fDDD899qjHfZs+enc4666zUvHnzdPzxx1dY9vXXX6cbb7wxbbHFFunMM8/MU8KKjjnmmHTiiSeu8InAE088MTVq1Ci1bds2zZ8/f53/sbz//vtTrVq10v3335+uvvrqFR7LCRMmpCOOOCJtttlmeXujZ8GCBenkk09OnTp1qvAJu7feeiu9/PLL6euvv879UV+yZEmaO3duatGiRSooKEjXXnttlXjBVO7ss89OHTp0SB999FFK6f+eC84777zUrFmztOGGG6bZs2fnLd8HH3yQBg4cmBo1apSb4KX0zWS/rKwsHX744RVe7OfbiSeemA499NAVfsa9evVKDRo0yMubvct/VdLyR8n95z//SVtttVV67LHH0mabbZZOPfXU3M//jTfeSCeeeGL65z//WanZFi9enIYPH56aNGmSzjjjjNz4rFmz0rvvvpuWLFmSDjvssHTyySfnPo29/fbbp6ZNm6Zf//rXaeHChZWab2Wef/75CkdOzpo1KzVs2DBtvvnm6YQTTkgzZsxIKaX09ttvp5///Ofp/fffz0vOsrKyNHv27HT00UfnyqRyL730UnrhhRfSl19+mfbcc8/Up0+ftGzZsvTmm2+moqKiVFBQkJcStPz/zvKfph0zZkzq0KFD2nrrrVf4nTz77LPTvvvum9dPtpb/HS0tLU2XX355atiwYbrhhhsqrHPxxRen/fbbL+23337rNOsDDzyQDjjggPSzn/0sPfPMM6lXr17p+eefzy2/4447Us2aNXNHZXz++efp9NNPT3369Kkyf6vGjRuXjjjiiNS5c+cVPhV81FFHpa233jqddtppVSbvD1Vd5hnVbf72bVV9jlEdXg9X93lmStVr/lZV527fpSq817QyVXmOsfzP8P33309HHHFEatKkSRo+fHiFZePHj0+tWrVK//nPf/IRc5Vmz56dbr/99vTxxx+nWbNmpa233jr3pvcFF1yQ6tevn/6/9s48Lqe0/+PnIESbUBJKm0p7kYq0o0VlKWSJksbekCX7bhrr2PedsZQ1yzP2nVRiLGMJiTC2kCzV5/dHr3PNfSrG83t0n/ue+b5fr3k9T+ecui/nPue6rs93HTFiRIWXPL179y6ioqLg6urKMpCBkmxEoGSP1q5dO5aJOHr0aNStWxd16tSRVAcLnDt3Dg0aNMDp06dhbGyMvn37sn3yhQsXEBoaij/++EPiUX6ZBQsWgOd5REdH4/3796I1t0ePHmjbtq1csugUWRP/twjBq1FRUQgLC2OauGPHjqhevTpMTExQUFAg6XqgiHaRrzF27FjwPA8bGxv23gtjX7NmDapVqyaXfbbwmenp6dizZw8WLlzIqn7s27cP27dvx4cPH5htJCoqCoMGDUJhYaHCrP85OTkskDY5ORnAX3vBDx8+YMiQIeB5/n/K9iRnopy5fv06rly5IjqWk5ODBg0asGi8Fy9eoHPnzjh06JBcHsYnT55g6tSpsLKyEgnSVatWwcHBAVFRUaIxHzx4EM2bN0d4eDjbAMiLoqIittD9/vvvOHv2LM6cOSO6Jj4+Hg4ODmwzMnz4cMycOVPudeE/fvwIoCRyv3HjxnBzc2OiOCMjA35+fggODsb169fZ78TFxcHHx0chIrCAEgNJjRo1WKq+8Dxu2LAB5ubm8Pf3lyxKqLx349WrVxg1ahRsbGzKlAkrKCjA4sWLce/ePTmO8q9xvnnzBnl5eez4ggULYGlpiblz54qezdjYWCxZskSuZUcETp06BZ7nsWbNGgDATz/9hBYtWgCAyGlw+PBhhIWFISsrS+5jFHj8+DGGDBkCNzc31nND4P79+7Czs2OL45MnTzBgwAAkJiZK1u9NeA6ePHkiegbPnTsHd3d3dO3aVbSZGzp0KLZu3Sr30qzlvVf3799HQkICdHV1ReWdACAgIAB9+vRBUVGRQmRTjxs3Dk2bNsXNmzdF41myZAksLCwQFhYmyZyVlZWF9u3bw9vbW9Sbok+fPuB5XpQZCJSIaHt7e7mM9c2bN1i7di10dXURExMjOvf8+XPY2NiwMb9+/Rrdu3fHlClT5OagGzp0KCuBJLBnzx5meMrKyoKRkRGio6ORmJgIbW1t9OnTB3fv3gUAhTCaCmM4f/58md4kv//+O+zt7VkE6927d9GrVy+MHTtWtD+QB7LGhVevXol+TkpKgoODA8LDw5kj4tWrV2jZsiV69eol13HKsnnzZujq6rK5/enTp5g4cSIr6QWUlH0MDw8XlY+V53yVkpKCdu3awdbWFubm5rh//74o+2n+/PmoWbMmi2yXNUbLc5yy3/eaNWvg6urKfv7tt9/YHCZEuL59+xa9evXCli1bJBlvRaBMOkOZ9Ft5KLLGUIb9sLLqTGXQb8qk3UqjiLYmAWXQGMLnCE7Y/Px8ACUZikFBQXB3d8eCBQsAlKyBw4cPR5MmTRSq8k1phOyjxMREeHt7s+c0MTERpqamqFWrVoVmJwpr6rNnzzBgwAC0bt2a3UOB7t27IyIigl37448/4tSpU5L0dRSegcuXL+PYsWNsbxQWFobKlSuXKWs7evRouLq6Kkx2qjD+0oFzP//8M3iex7x589hzDQBBQUHo3bu33ALtFFkTl4fwTL58+bJMf8y8vDw0b96cBbcXFRWhX79+WL9+vaSl7xXdLgJ8ubyq0ON5yZIlorLShw4dQtOmTeU23h07dkBPTw8tW7aEmZkZDA0NsXHjRtF9fPLkCcaMGQNNTU25a/Zv4dGjR+jQoQO0tLRYBQth/AUFBYiPj8eNGzf+33+fnIlyZMSIETAwMECNGjXQsWNHnDt3jp0LCQmBra0tVqxYAU9PT7Rs2ZK9YBU5sQuTY0FBAX7++WfY29tj9OjR7PzKlSvh6OiIPn36sPGOGTMGEyZMkKuRe9q0acwoBADbt2+HpqYmjIyMwPM8goODWZruunXr4OTkhPbt26Nbt26oWbOmJJFCwov69OlT7N69GzzPw9/fnxmLkpOT4efnB11dXXTs2BH+/v5QV1eXpHScMFbBcCI7hvbt20NPTw8XLlxgG4/Ro0dj2rRpkkWKCeO9cOECFi1ahPnz57MyLULfoWbNmmHs2LEKYdjatWsXnJ2dYWdnh9jYWGYAiI+Ph6WlJTp27Ijp06cjKioKurq6zAguD2Tvz507d1j/JqDE0GNtbS26/uzZsygqKmIR+vKmuLiYbSwyMjIQHR3NhL3AhQsXULVqVWzYsAE5OTkYP348nJycJMuiEtixYweaNm0KXV1ddOjQASdPngRQUtarVatWaNy4MQYMGICQkBCoq6v/T4v7/wfhWTh+/Dh+/vlnzJ8/nxlRHjx4gDFjxqBOnTro0aMHpk+fjhEjRqBq1aqSlHYRxnr79m32H1Bi5DM1NYWbmxuuX7/OnDjDhw/H+PHj5W7oKf28+vn5wcPDA1u2bAFQsskLDAyEtrY2tm7dipUrV2Lw4MFyXwvevn2LNWvWQFdXVxQFfuvWLdjZ2WHs2LFITU3FhAkTYGtrK7f1v7CwECtXrizTP+v9+/e4desWPn/+jICAAERGRrJzwjsWHR3Notulpri4GAUFBfD390ezZs2wadMmdu7w4cPgeR6nTp3C+/fvMW7cOHh4eEg2xwLAlClT2D5Kdm7dsmULbG1tUbt2bfj6+qJTp05o1qwZe8/kfa+3bduGRYsWged5ODs7MyH39OlTTJ8+HZUqVYKNjQ3Mzc1hY2PD3kV5GyUBYPfu3WjXrh1UVFTYuy3ct9u3b6Nhw4ZlokOlciQePHgQI0aMAM/z6Nq1Kzv+22+/oWPHjjAxMUF4eDhatmwJR0dHueiVikbZdIay6DdAeTSGMu6HAeXQmaXHrAz6TZG125dQRFuTgDJpjF27dsHe3h7NmzdHXFwc0xh37txBUFAQNDQ0YGtri7CwMFhZWbGACKkR9hTXrl3DyZMny5RZjI2NRbt27ZgeHjZsGFJSUvDmzZsKHZdshtmYMWNgZGSERo0asdK2QElGkpqaGsaMGYOIiAioq6tLar9LSkpC/fr1MXPmTPZuJycnw8XFBZ6enrhw4QIOHz6MYcOGQUNDQ2Fa/wjjP3bsGCZNmoTExEQ8e/aMHZ8+fTp4nkdERAQmTpyIuLg4aGholAlAqKixKYMmBkq+/zt37rCfd+zYAXt7e+jp6SEgIEBU6SosLAy2trbYt28f4uLiYGBgwLIW5YWy2EUEZNec8gJgRo0ahSpVqiAxMRGpqam4d+8e2rRpAzc3N7msV6mpqahbty7WrVsHoKTMOc/zIk18/PhxtGnTBiYmJqzcvVTI7rOPHDmC/fv3s3n91atXaN++PWrVqlXGofi/Qs5EOfHbb7/BwsICKSkpOHjwICwsLODl5cWEyqlTpxAcHAxLS0sEBgayF72iXxbh71+8eBHx8fEwMzND1apVRYJ09erV8PT0RJ06ddC8eXOoq6vLZcER+Pz5M0aPHg2e57FixQp8/PgRJiYmWL58ObKyspCeno4WLVrA19cXp06dQnFxMaZNm4bw8HAEBgbKdaylSU5ORs2aNTFy5EgEBASweyg4Ca5du4Z58+YhPDwc8fHxkkY0bNu2Dbq6utDR0YGNjQ1reJyfn4+QkBDUqFEDLVq0QMuWLVGtWrUy5ZPkjWDoadasGaysrMDzPKZOnQqgJHsmPj4ebm5u+PHHHyUVpGfPnoWWlhbi4+MxadIk6OjowNPTk0UrrVy5Er169YKlpSV8fX0lWYwuXrwo6uclbPQOHjwIExMTJqATEhJgYmKiEJF327ZtQ5s2beDt7Q1NTU00aNBAVPI0Li4OPM/DzMwMtWvXlrwc7+XLl9GoUSNMnz4dW7Zsgb29PVq2bMmaH2dkZGDUqFHw9fVFly5dJJu39u3bhxo1asDR0RGGhoYwMjJiGWgPHjxAQkICdHR0oKenh1WrVuHmzZuSjBP4K2LMwMAAFhYWrORlbm4uzMzMYGlpidatWyMoKAhVq1aVu3MW+Guztm3bNvTo0QPNmzdHtWrVYGlpyd65Bw8eoE+fPmjcuDFsbW0RFBQkN1Equ8fIy8sr16E4efJkNG7cGI0aNYK+vr5k79L+/fsxadIk0bGcnByYm5tj165dAEo2+507d8aUKVNY6WCpKW2gDg4OhoeHhyhLrmvXrqysi4aGRhnnqTxZsWIF6tWrh1mzZiEkJAROTk6sRwVQYmSzsrKChYUF1q9fz54h2ehReTBq1Cjo6elh/vz5GDp0KCwsLGBqasr2UZ8+fcLZs2cxcuRIJCYmsvHJo4zTl/buKSkpcHZ2hrW1tWg+ys3NRcOGDbFnz54KH9vfMWzYMDRt2hRxcXHw9PSEpqamqAxeeno6Zs+eDX9/f/zwww9y0ysViTLqDGXQb7Ioi8ZQtv2wMulMAWXQb8qg3UqjqLYmWZRBY1y9ehV16tTBzJkz8cMPP8Db2xutWrVi7869e/fQqVMnaGtrY8aMGWUyleTNmjVrWPlaoCToq27dutDV1YWBgQEcHR2ZY2P58uWoXLkyoqOj0bFjR6irq8ttTti5cydUVVUxatQojBw5Ek2bNoWtra3IOD9w4EA4OzvDy8tL0qCHQ4cOQU1NDYsXLy7Tq3XPnj1o27YtVFRUYGVlBTc3N8l7yJfm4MGDUFFRQZs2bVC1alW4ublh//79bP8rZCg2atQIy5Ytk9szoOiaWBjj06dPwfM8QkND8fjxY5w/fx7a2tqYOHEi1q9fj27dusHJyYm1Bzl//jzatm2L+vXro2nTppLpZGWwi5SmdACMbA9fYV9evXp19O3bF76+vhWybp05c0aUqQuUlLkXtM+NGzdgaGgoKsWdl5eHt2/fYsuWLZJWapNl+/btqFOnDqytrcHzPNzd3Vk/+5cvXyI4OBg6OjrfNfiFnIlyIi0tDePHj2c/P3z4EI6OjvDw8MCJEyfY8SdPnrCJVl6GmT179qBq1aqYPHky6wNiZGQkKplz4cIFrFmzBjNmzJCkJnx+fj6LpBk3bhx69erF6hYDJVEYTk5OCAkJEf2elJlIubm5MDIyEjU0zsrKgoGBAZydnXH16lXJy0IJn/vnn3/C2dkZa9euxcWLFzF9+nSYmpqKDIirV6/G1KlTkZCQIKkDASiZ1OvVq4eVK1fi06dPKCgowLJly1ClShXWYPzFixfo378/fHx88OzZM0nGefPmTezYsQPTpk1jx+7du4cGDRqgdevWIgGSl5dXZsMqD96+fYugoCA0b95cZEABSsR0zZo18ezZM0ycOBHVqlVDamqq3MdYmrS0NNSsWRMrVqxATk4OsrOz0bVrVzRr1ox9/0CJaE1JSZGsX5rAtWvXMGfOHJGR78mTJ/D19UXLli2ZIwQoKVslD2P3lxg+fDhWrlyJwsJCXL16lfVUEaLzsrOzERcXh1atWknyXslG4hsYGGDlypXYtWsXRo4ciUqVKmHhwoUAShwJP/30EwYNGoQBAwZIVt4WKHmPqlevjlWrVuHq1avIzMyEi4sL3NzcRD3xHjx4gA8fPojWtopCuI9COUXBQPry5UvmUOzTp4/o33DhwgXJSuMVFxdj8eLF4Hm+zHzq4OCAESNG4NatWxg/fjxcXFwkLzX2+fNndo+FUohCWbk7d+4gMDAQHh4eovI+GzZswNq1a0WRsPKgtCCbP38+y5x8/fo15syZA2tra1EJ3LVr16Jfv35fLKVU0dy8eRP169cXzZ3Z2dlwdnZGkyZNvmgYkce+WnY/t2vXLiQnJ4sa3+/btw9eXl4wNDTEpk2bsHHjRgQEBMDa2lrSuR8oibKtU6cO0yUfPnzAhg0bYGhoiMDAwC/+nrwdyRWBMuoMRddvyqYxlG0/rAw6szTKoN+UQbuVhyLbmgQUVWPIvh8XL14UzaF79+6Fn58fXF1d2d7i9u3bkpYHFMjPz0fv3r3h6OiIxMRE9p2vWLEC169fx/Hjx+Hm5gYDAwMWYPfzzz/D09MTISEhcnHSCL3DXV1dRWVss7KyEBkZCWtrayxevJgdf/XqlaSVOT59+oQuXbpgwIABAErWhStXrmDs2LGYMmUKe2euXLmC58+fyz3T/1sYOXIkfvnlFwAl+3hXV1e4urpi7969bJ85ffp01K5du8KzUkujiJpYFtleeZqamoiIiMDSpUsxYsQIdk1+fj7mzp0Le3t7LF++HEDJc3L37l25lztWNrtI6X6z5QXA/Oc//2HX/PTTT+B5HgcOHPju61ZxcTH27dsHLS2tMnaDqVOnwtfXFwUFBWjUqBFiYmKY1t22bRsmTJggufaR1d6XLl2CtrY2VqxYgWfPniErKwtdunSBu7s7Vq9eDaBkz+jt7Y3GjRt/N+1CzsQKZvbs2QgLC4ONjY3Imw2UbPKcnJzg5eXFslME5GWYeffuHYKCgjBs2DB27OnTp5g0aRIMDQ2RkJAgl3F8C/n5+Zg2bRpUVFRQv359NlkLEQpnzpwBz/OSZyAJPH36FCYmJqwskjDh3L59G9ra2ggJCSlTfkIKzp49iz59+qBXr17M2JmXl4clS5bA2Ni4zHMrBaVF8NmzZ9GkSRM8ePBAdG7x4sWoUqUKi7h4/fq1ZPXKX716BTU1NfA8zyKwBe7duwd9fX34+voqRFmcjIwMdOzYEV5eXqzUBFCSKt+kSRN07doVqqqqClPGZePGjTAxMRH1McnOzkbnzp1Rv359UZSjlBQXF+Pdu3cwNzcHz/Nleiw8fvwY3t7e8PLyKtNHTZ5jBEru3/3799GjRw8cOXKEnb9//z4T+8Kzev/+fckc9EBJWciZM2eKxP6rV68wadIk8DzPBJSA1Bkzv/zyC2xtbUW9+27fvo1mzZrB0tISv/76q1zHI3znBw8eRFBQELy8vNCpUydmIHv16lW5GYpSk5+fj6VLl6JSpUqiPqkJCQmwsLCAnp6epJmTQEnmmWymyu7du9GyZUs4OzsjKCiIRVzeu3cPgYGBaN26tajkqbyRXT83b96MjRs3IjAwULQOCA5FGxsbxMbGlvkbUrxfly9fhpaWFsuyEsZw48YN1K1bF66urswhIdX7P3LkSKirq8PMzAwaGhoYM2YMO7d//344OztDVVUV/v7+SExMZPODlA5FIXtMtkfRu3fvsHDhwjJ9bIT7qihOiu+BMukMZdFvyqAxZFGm/bAy6Exl02/KpN0EFNnWpAwaQ7b86pw5cxAXF4eoqCjRNfv27YOfnx/c3d1Z1rQi9OMGSgzEQ4cORcuWLRETE4P27duL9PGLFy/g4uLCer4CJeWx5Tn+wsJC2NnZYdy4caLj9+/fh5mZGYyNjUXBwFITFRWFDh064MyZM4iOjoafnx/Mzc1hbm4OLy8vFBYWKtTeRxhLVlYW7ty5gzFjxuDw4cPs/PPnz9GyZUu4uLggJSWF7TOl6POpaJq4PIT7k56ejho1aoDnefTs2VN0zfv37xEaGlomwEwKlMUuUvpzvxQA4+npKSozv2jRogptU/H48WMAJeuU4Lz+448/YG5ujmrVqjHtK3z20KFDERISIppn5UlKSgrbHwnP6urVq2FjY4P8/HzRutupUyd4e3uz6548efJdA8PJmViBzJkzB6qqqujfvz8aNmwIAwMDVndX4OHDh2jUqBEGDRok0SgBV1fXMpumP//8E97e3qhRowYGDx4s0cjK8urVK8yePRuVKlXCrFmzROcyMzNhZGQkeflNgfz8fOjr64tKTxQWFuLTp09wd3cHz/No06aNpFHNHz9+xPjx46Gnp1emF8jr16+xdOlSmJubIzw8XKIRiqNPnjx5gqKiIpw8eRI8z7M+CsKG5Pnz5zAxMWEN5qXm1KlTaNSoEby9vVnvF2GCv3//PlRVVREcHCzXyBbh80s3NL9y5QqCg4Ph5eXFNnJv3rxB/fr1oaqqKmnZPQFh7Pv374exsTH7/oXNyR9//AEtLS00atQIiYmJko2zNDdv3mTlnGRFNFCygXFyckJAQIDcowMFkpKSoKOjA0dHR1SpUkVUfhEoeVbbtm2LqlWrSl7KoaCgAAMGDADP82jdurXonLBxVlFRwezZs9lxqTO/V6xYAUtLS/bOCfPV+fPnUaNGDTg4OMhFPJXOmFJTU8Po0aOxcOFCuLu7w9jYmGWuvH79GuvWrUOVKlUwZMiQCh9baYR3+tmzZ8jOzhadW7hwISpVqoQJEyawY+fPn8eRI0fKXCtPLly4AAsLC0RGRiI/Px/Xrl2DiooKxo4di1GjRqFDhw6oUqUKNm/eDOCvkqf29vZlsmDkgezzMHz4cKirq8PIyAjq6uoICAgQXfv69WvMmzcPurq6rJy0lIaUoqIiGBkZlXk28/Ly4OrqCm1tbVhaWjLxJI+xymYAPX78GB4eHrh8+TLu3LmD1atXo2rVqhg6dCi7PiUlBa6uriIHrRR7AVmuXbuGxo0bl5mP7t27h0aNGqFWrVro3LmzvIYoCcqkMxRdvym6xlDm/TCg+DpTWfWbImq3L6EMtiZl0Bi7du2CqqoqmjZtioYNG0JLS6uMw3j//v1o0aIF/Pz88PHjR8kDFYG/nsvc3FwMHDiQOeYEhGc0JSUFjRs3lmTtKioqwtu3bxESEsIy/ouLi9nY+/fvDwMDA7Rv377MXCwPytsLrVy5Ei4uLqhWrRrCw8ORlJSEDx8+YP78+fDz81MYR7Is27Ztg56eHnR0dMDzvCiADSipPOPh4QELC4sy/bnlgaJp4q9RXFzM3u/ff/8d2traMDc3x5UrV0Tv/YIFC9CkSRNJs1OVyS4i8C0BMD4+PmUCYL73mitoxMLCQvzxxx/geR7z589Hfn4+3r59i9GjR8PExAQzZ84EUKKFEhISULt2bckyO2VtDbLBAGvXroWZmRk7Jtyra9euged5nDx5skLGQ87ECuLUqVOIi4tjXvXHjx8jMDAQXl5eZTZRz549kywS+fPnz4iPj0dgYCBr1CowefJkWFhYwNPTU5KeELJp27IGwoKCAkyZMgU8zyMxMRHZ2dl4+fIlEhISUL9+fRZdIMVYhahbYaFZuHAh6tWrJ2owDZT0czt+/Ljcy5kJyC4i2dnZmDx5Mmt6LUteXh7mzp0LBwcHSe7rgwcPmDEkOTkZTZo0waNHj/Dp0ye0a9cObdq0EW323717B2tra2aslSdfWphPnToFDQ0NdOvWjTmLZCNGpCgbfP78eQQFBYlKrwEl2R5eXl5wdHRk5eM2btwoaQRueff11q1bqFu3LgYPHiyqcX7z5k34+Phg2LBhcm98LfCl5+DGjRto2rQpAgICyizoT548ket4i4qK2Dj/+OMPmJmZYdasWdi0aRMCAgKgo6NTJpo9KysLoaGhkjyvpblx4wZ+/PFH8DyPpKQk0blXr15h5MiR0NLSwqtXr+S+YS7v89LT01kTcVnOnj0LNzc3dO7cuUKdYKUj0G7evAl7e3ssWrQIQMk8JDgKdHR0WEbXy5cvsWnTJvzxxx8VNjZZ1qxZIypJnJSUBBMTEzRo0ACWlpZITExk2ZOLFi1CpUqVMHnyZLmM7Vv5+eef4ebmhpiYGEyaNEm0pn748IE1lL948SKAkmjcLl26SFqK+fnz5wgMDERmZiZycnKwbt061KtXD126dBFd9/LlS2zdulWy/Wpubq5IsM+aNQsODg5M5AEl+8OIiAicPn0ajRs3FmVtVSSyxoXnz58jIyMDUVFRLML106dP2LhxI6pVq4a4uDh27cmTJyXJ8JMd7+fPn5kx59mzZ2jXrh3at2+PY8eOsWtycnIQHh6OZcuWoWnTpti5c6fcxlqRKJPOKI0y6DdAsTUGoDz7YWXTmcqi35RJu5VGUW1NyqIxZN+pcePGYdWqVSgqKsKJEydYKfLS789//vMfyfTl3yFkKGpoaGDUqFGic6mpqdDT05NLIIRseev8/HwWzLBnzx5WWUQ2eLZ///6YOXOmpK0zTp48icTERAwYMAAHDx7E58+f8fz5c/acCtcNHDgQAQEBClPaWBjXgwcP0Lx5c8ybNw9Hjx5F27Zt4eTkhFWrVomuf/78Odq1a4d79+7JdXyySK2Jv4Yw3tLf7+XLl1GzZk2EhISI+mNGRUXB3d1d8udBke0igPg5UKQAGGFcggb68ccfoaqqysouC/uYevXqQUdHB3Z2djA1NZU8oOznn39Gq1atEB0dzZyHly9fRuXKlUWaGCgJXG7atGmFjZmciRXA/v37YWVlBUNDQ1EEUFZWFgIDA+Hp6VluWauK3uQJL8zjx4/x9OlTZoQ/ceIE6tSpgwEDBog2cUOHDsWECRMkjbZISkqCsbExjIyM0KZNG2bU/PTpE6ZOnYrKlStDW1sbMTExsLS0lLT00N69e+Hv749WrVphxYoVyM3Nxdu3bzF8+HDUrVsXw4YNw4YNGzBw4EBoampKKvCFjZ0QtZCTk4MJEybAwsJClO0BlETjSvUMLFq0CPb29vDz84OKioooYnXbtm3w8fGBl5cXUlNTceXKFYwZMwa6urpyN8wK9/Xo0aMYO3YsIiIikJSUxAw8J06cYKJUMATIczGXjQAsLCzExYsXYWNjg06dOpXJlDt58iQ0NDRgbW1dJiJI3ghjPnXqFGbNmoXFixezng87d+5E5cqVMXDgQFy4cAFPnz5FQkKCZJGNsuM9efIkZs2ahcGDByM9PZ1FNl+7dg2Wlpbw9/fHqVOn5D6+0nPOiRMnsGTJElH2QkFBAdq3bw9dXV2cP39edL0UUdjCPS0oKBBt1h8/foyYmBioq6sjOTlZ9DuvX7+WpHSLMNYLFy5g5cqV2L17NxPHCxYsYD2BHj58iHfv3mHs2LGIiYmp0DIZkydPRmRkpKj/iNAPprCwEA8fPoSpqSmio6Nx/fp1mJmZiXrOyWueevPmDXR1dZlROSMjA7Vq1cK0adPwn//8B/3794eTkxP69u3LnuOlS5eC53lRvyipkHXOzJo1C97e3mjUqBHLGCkqKkJRUREKCgoQGBiIbt26sedZnu9V6Xd6zpw5MDc3R1BQEOsXkZ+fjy1btqBhw4bo2rVruX9H3g7FsWPHonnz5tDX18esWbPw+PFjvH79GvHx8TAzM0NgYCCmT58OV1dXODo64sOHD/D390fv3r3lOs6EhATY2NjA2toa5ubmIke+4FCsUaNGmXFJleEwc+ZMVtJRCHK5cuUKHB0d4ePjg/HjxyMlJQVeXl4IDg7G06dPoaenV0asKjPKoDOURb8pg8ZQ1v0woBw6U0AZ9Juia7evoYi2JmXQGHv27BF9zqVLl6ClpYUWLVrg+PHjouNt2rSBoaGh5BVZykN2TcjLy2O9uXNzczF48GA4OTkhPj4eQMn3Mnr0aBgYGIj6fVYku3btgpWVFZo1a4bg4GD2uStWrEDlypXRpUsXDB48GNHR0dDQ0JCbc6s8kpKSoK6ujujoaLRr1w6Ojo4IDQ0VZXTfunULw4YNE5XXVxTS0tLQr18/REZGsjH/+eef6Ny5M1q2bImVK1eKrpfXflMRNfG3jDclJQWdO3dGhw4dcPDgQWZPSEtLQ82aNWFkZIROnTqhX79+0NXVlbtjSZnsIqVRxACYgwcPokePHuy9SEhIQOXKlZlD8d27d7h79y6WL1+OkydPMjukFMi+u3PmzGHVSYS1d9GiRahSpQqmTZuG+/fv4+XLlxgzZgwMDAwqLGCPnIkVwJ07d9jiKFsHGCgp5RAcHAwrK6syUZDyIDk5GYaGhrC0tIStrS0TnykpKdDR0YGfnx86d+6Mbt26QU1NTdLIu5s3b8LQ0BDTp0/Hr7/+CisrK5ibm+PcuXMASsrnzJ8/HzzPY/bs2XJv0CuL0Ex4xIgRCAwMhI2NDfr27YtHjx4hPz8fK1asgJGREWxsbGBnZ4eMjAy5j1FYfH777Tf07NkTwcHBGDVqFDMgPnjwABMmTIC5ublCZXvExsaC53l4eHjg48ePonM7duxAUFAQeJ6Hubk5jI2NJXMoJyUloXr16ujSpQuaN2+Opk2bws/Pj/X/OHnyJGrXro2goCC5PquyhpNjx46xHiAnTpyAm5sbQkJCRHX1L168CC8vL/Tq1UvSkoECycnJUFNTY9FARkZGLHNqz549aNCgARo1aoTGjRujTp06kn3/wj1OTk6GhoYGOnToACcnJ9jZ2WHatGlsob927RpsbW3h5ubG+qfJgwkTJmDgwIH48OEDG2tISAh4nkeLFi1Em/cPHz6gffv2aNCggSROTwFhnPv27UPbtm3h4OCAwMBAHDp0CJ8+fcKzZ8/www8/QENDQ2EyZXbs2AFNTU2YmJjA2NgY3t7eLIp5yZIlqF69OoyNjWFmZgYtLa0KFyFnz55lpThkv2PBYB4ZGYlOnTqxuVV4JoyNjfHx40e5Gs6ys7NhZWUFNzc3bNu2rUxW2YIFC2Bvb896P+Tn52P16tXM8Sk1sqJn3rx5MDAwgI2NDRPPggj44Ycf4OPjI/fxTZ8+XdQzByiJsjc1NUX9+vVZ0ANQcm+3bt0KQ0ND+Pn5yXuoIlatWoV69ephxYoViIuLg76+PmJiYvDgwQO8e/cOO3bsgLu7O7y8vBAWFsae5aCgIMTHx4vWwO+N7He+evVqNGrUCLNnz8a4ceNQo0YN9O3bVyT2P336hOXLl8PDw0MSB6LsZ06fPh1169bFkCFD0KZNG6ioqGD58uUASqKcBw4cCGNjY5bhJgQkuLu7Y8WKFQAUx7D+/0WZdIai6zdl0BjKvB9WBp1ZGmXQb4qq3f4ORbM1KYPGyMjIgJaWlsiomp2dzcYp9B4VuHTpEvz9/SV3dn2JnTt3wtjYGDY2NggODmZO5ZycHAwePBg1a9aEoaEhgoOD4erqWuF9XoXv/ffff0fNmjUxY8YMjB8/Hu7u7tDX12f3ff/+/ejRowdatWoFf39/UaaXvLl9+zZMTExYZvf9+/ehpqaGESNGsGtSU1MRFhYGBwcHScdamsLCQnz48AH9+/dHvXr1YG9vLzr/9OlTdOrUCR4eHli4cKEkY1Q0Tfx3nD59GjVq1MDAgQPh6OgIKysrTJgwgT27ly9fhq6uLniel6RSgTLaRQQUIQBGtgKScC9/+OGHMvYGWYeiIq37gPh+zJ49G66urujTpw+zNSxbtgyqqqowMDCAubk56tevX6F7K3ImVhAPHjxAv3794OjoiPnz54vO3blzB/Hx8XKL7JYtNVG7dm3MmTMHq1atQrt27aCpqYnTp08DAM6dO4dJkybB398f3bt3R2ZmplzGJztOWcPE48ePMXr0aNE1Dg4OMDMzY0L//fv3mDVrlmR1i4GS+skTJ04U9VZZvHgxWrRogT59+rANaEFBAd68eSP3iBvZe7pz506oqakhLi4Ow4YNQ6tWreDq6somoAcPHmDy5MnQ1dWVPPL806dPKCoqwoQJE9C7d2+4u7sjKiqq3DIY6enpuH79umRRuA8fPoSVlZVos7Zr1y6Ehoaibdu2LKrx6NGjMDAwwKNHj+QyLtl3atu2beB5HjzP48aNGwBKms0LBpTt27fj06dPGDduHAYNGsSiHKVAGPO7d+8QHx+PtWvXorCwEJcuXUJAQAA0NTXZvyErKwunT5/Gnj17FMLYo6+vz8qKvHjxAioqKmjSpAnGjRvHmiVnZmaiRYsWch3vvn37WI8a2fIyffv2hYqKCrZv3y6Kwvzw4QM8PDxgZmYmymqTNykpKVBRUcGwYcMwd+5cuLu7w8bGBgsWLMDnz5+ZaOZ5XrLMAdm+S71798a6devw7t07JCUlwcfHB/b29mzzevXqVWzfvh3r16+v8Ghn2bn/2LFjCAsLY2snUPJ+ubq6ihqzx8bGYt++fZKVnHv48CEsLCzA8zz8/f3L7JP69OkDW1tbScb237JgwQLY2dmhR48eomzp3r17IyAgAAUFBXJ3xggR+ULprqKiIhw/fhz16tVDUFCQ6Nr3799jzZo1CA0NlSxz7tKlS4iLi8O2bdvYsU2bNsHc3BzR0dGiEryyYxw+fDh0dHQqrERv6R5khw8fxpQpU7B+/Xp2bP/+/VBVVUVsbKzIoSj7TEt1Xx88eIARI0aIMjHGjRuHypUrM6NacXEx8vPzRZkMo0aNgp6enkJmanwLyqYzlEG/KYvGUNb9MKD4OrM0yqLfFFW7fSuKZGtSFo0hZEHfvHmTrb/Z2dkICgpCnTp12HwgcP78eXTs2LFMKWmpuXXrFho0aID58+djxowZzDkrOGNyc3MxbNgw6OvrY8SIEXKr2HP+/Hns3bsXU6dOZceuXbsGd3d36OnpsXdIMNDLszzkypUry/SMPHfuHCwtLQGU2BMaNWqEvn37svNCmdOzZ88qRHlzWYRs6YcPH2LYsGHQ1dXFxIkTRdc8ffoUfn5+aNeundzWMUXVxN/Chg0bRPdw1KhRcHR0xNixY9n3n5aWhvr160tmc1QGu0h53L59W9IAGNkKSLJVYyIiIljwgGzWekJCAlRVVTF37lxRSyVFY9asWXBxcRHtsa5fv449e/Zg586dFW5rJGfid2Lr1q1ITEzEtGnTmOB8+PAhYmJi4OzsXGaTJyCvTd6pU6eQkpKCcePGsWN5eXkIDw+HpqYmzpw5I7q+dAShPJCNah0+fDh8fHzQtWvXMvfIwcEBTZs2lTRjRuDWrVto3rw5GjZsiAULFojOCUKvb9++bIMtT0pHUmRmZsLCwgLLli0DUCJC9PT0UKtWLVhaWjJHR1ZWFmbOnClZn40v8fPPP5eJvgBKBJOU5ReBkij+evXq4T//+Y/omuTkZJibm7N0fkC+G2dZw0mlSpWwaNEiuLq6MgMUUBJ1GxwcjLp168Lc3Bza2toKEdF84cIFNG7cGJ6enqJItdu3b8Pf3x+amposQ1ERKCoqwoYNG1g5n7t376Jx48bo27cvBg0aBC0tLUyaNIkJKSnmWKDEKBIVFSWKUurYsSO0tbWxZ88e0bg+fvxYpt+evCguLsa7d+/g5+dXxtgbGxsLKysrnDhxAkCJoTU+Pl7S5+HixYto3bo1/Pz8RILo8OHD8Pb2hp2dnaRC6fjx46hTpw66du0qik5u164dLCwscPToUQwaNAgNGzaUvB/Mw4cP4eLiAn19/TLlhLZu3Qpzc3OFKNcC/DXHZmZmYvPmzdi7d6/I6TBr1ixYW1vDwsICAwcOxKBBg1CzZk1Jo5v37NlTJgr/2LFj0NHRQXBwsOhaWeOfPB1fxcXFOH/+PKpXrw41NbUyfV+2bNkCCwsL9OvXj/WfBEpKdA4ePBjGxsYVFuEcERGBffv2ASi5Jw8fPmSOiZ9++kl07f79+1GjRg0MGDBAYcSo8P03bNiQzaEC48aNQ5UqVbBixYoypZE7dOgAfX19ySPH/xeUUWcoqn5TNo2hrPthRdaZ34oi6Tdl0G5fQtFtTYDia4zi4mI8fvwYPM9j0KBBbF+Tk5ODdu3aoW7dumUciqWDh6RC9tm9desWfvzxR/ZzZmYmQkJCRH0Rs7OzER8fL7fA1ZcvX6JZs2bs3soiOBQbNmwoiVM+PT0dAQEBZXTY2bNn4enpiRs3bqBhw4bo27cve18uXryIQYMGSdYn92ukpaWhSZMmTEs8fvwYgwYNQosWLTB9+nTRtc+ePZN7aUZF18QCwjuVnp6O/fv3Y+zYsWWyOEePHg0HBwdMmDCB3UcpgqyVyS5SWi/KlryXMgBGqIDk7OzM5sXw8HAkJCQAKFkrZfckQ4YMQe3atSVt+QZ8m63BxcUFffr0kbuTm5yJ34Fhw4ahXr16aNGiBWxtbZkQB0o87f369YObmxumTZsmyfjev38Pd3d38DyPzp07i87l5eUhLCwMdevWZf1SpOTIkSPgeR4BAQGoX78+atWqhc2bN5cRx40bN4aTk5OkGTMCY8eOha6uLkJCQphYFli2bBkzIgrNXeXB9OnTERERIYooP3LkCKKiogCUiHxjY2NERUXh4MGDqFevHlxcXNgEJIVzDhBPlps2bcLevXtFAnnWrFlwc3ND7969WckkKysrURRkRSEsjLLfY1paGj58+IBHjx7BysqKNRCWXUQtLCxE/SLkjRCBLYytfv362Lx5M4C/7vf9+/dx6NAhrFy5UiE2d0CJAc3DwwPVq1dnC6ZwX2/fvo327duD53lJnd6ls4oePHiAmzdvoqCgAD4+PujTpw8716BBAzRs2BBTpkxBYWGhZOXhkpKSoKmpidjYWJFDo0OHDtDW1sa+ffskc3SWpqioCK6urqwkmqygb968OcLCwtjPUs1ZAuvXr4eDgwO0tbXLRN8fOXKE9V6Rh6gvLi5mm/Hnz5+zLIWrV6/CyMgInTt3Zg6YjIwMuLq6omHDhrC0tJSs98PNmzeRmprK9iEPHz6EtbU1HBwckJGRwdb62NhY2Nvbs4hcKRHGnpSUhHr16jEHhJeXlygadMGCBayU6Jw5c+ReLqs8J2CPHj2gpaWFAwcOsGPHjh2Drq4uQkND5Tm8r7J06VJoamqiV69eZXpp/frrr9DW1i7jwDt27FiFGiiHDx/O9gHCXJmamgpNTc0yhhMAOHDggKS9Pcv7/oWo5bVr1wIQr2UTJ04Ez/PYs2eP6HeWLl0qaeuD74Uy6QxF1W/KqjGUdT+siDqzNIqq35RVu5VG0W1NAoquMYTndN26dVBVVUV8fHwZh2L9+vUVzjkvGwgzZswY9OnTB+3btxddIzgUGzVqxPb48pxrCwsLceDAAbi7u8PIyKhMANX169dha2sLCwsLuffdBv7KSk1LS2NBIq9evUK9evXA8zwGDhwouj4uLg6tW7dWmOBFWU6ePAlPT0/Y2NiwoMucnBwMGjQIzs7OZfbF8kaRNPHfsX37dqipqaFBgwbgeR4tW7Ysk8k7btw4NG7cGFOnTkVhYaFkVUWUwS4ie2+WLVuGoUOHIiAgAHv27MGnT5/w5MkTSQNgHj58CHNzczg4OODZs2fo1KkTG4dsexdhviivooI8+VZbw6xZs+Du7o6wsDC5zlnkTPwf2bVrF+rWrYv09HR8/PgRRUVFGDduHFRUVFhZprt37yIsLAwxMTGSGZBv3ryJjh07QkdHh0XYCGPJy8tD27Zt0bhxY8kiLYCSaIFhw4ZhyZIlAEo2/r6+vmjevDmSkpLKiCQpRN6Xvr+JEyfC2toaCQkJZSICVq9eLXfj4e7du8HzPPr37y8S+0K0XVhYGLp168bK/gjGimbNmknm6PjWyXL+/Plo3rw59PX1oa+vX6aBe0WSlZUFX19fFBYWYtu2bdDU1GQb9s6dO6Nx48aiEhqFhYXw8/PDnDlz5DZGWd6/f49BgwaJDIb29vYscly454pgmC9NcXExTp8+DWdnZxgbG7PFXNb5EBYWJnl24sGDB8t8v3/88QcsLS1x9OhRACUlqkJDQzF06NAyBvGKRtZAJgj43bt3swhMWbEfFhYGnudFDgapEDaj3t7eCAgIYMeFf8OYMWPg4+Mj2Ya+NJ8/f8bWrVthZmYGb29v1idK4MCBAwgJCanQdSslJUX0fSYlJcHZ2RlGRkYICgrCgQMHcPfuXdY8Xri2uLgYN27ckFsZJAHh2dy5cycMDQ1hYWEBVVVVREZG4vHjx8jOzoaNjQ3q1q0LDw8PxMbGQkdHR/JMEVmOHj2KunXrYtGiRQBK9oTq6uowNTXF1q1b2XVTp05FaGioZGVxhLHJRlj37t0bampqovf9+PHj4HkeI0eOlGKI5TJv3jzUr18fY8eOLWN4+O2335jorOi5oPTfX7x4MZYtW8ac9WfPnkW1atUQERFRZpznzp2TPOAhKSlJ9O5ERUVBTU0NBw8eLHPtypUr2XgVZY79X1AmnVEaRdRvyqgxlGU/rCw6UxZF12/Kpt1Ko8i2JmXQGMIYL1y4gKSkJPaOb926FVWqVCnjUHR1dYWpqamkzvnySElJgaqqKlq0aAE7OzuoqqqKMquBkqBBb29vNGnSBB8+fKjQ9Vv2ORP2YYWFhTh58iSsrKzg6OhYJoP95s2bctfBso6Je/fuwc/PD76+vmw/dObMGejq6qJbt25IS0vDmTNnMGzYMGhqapapjiIV5b3Tp0+fRkBAACwsLEQOxaFDh8LMzEzS+UsRNPHXEO7nn3/+iZ49e2LVqlV4+vQpZsyYAUdHR/Tt27eME2nKlCmS7gmVzS4SHx+P+vXrY8iQIfjxxx/B8zzGjBkD4K8AGFdXV1FJZHnx8OFDmJiYwNnZGXZ2dqhRowbc3d1hYmICa2trtGjRAi1btpSkHUl5fKutYfLkyWjTpo1cSzKTM/F/ZMWKFWjRogU+ffokWqx+/PFH6OrqMpH15MkT9nJX9ENZ3t8vKirCnTt34O7uDgMDAxa1LVz75s0buabAl65bfvnyZXh6eqJJkyasfBQA5Ofnw9fXF46Ojti5c6dCRF2ePXsW06ZNQ2JiougFHjduHOzt7TF69GhJDYbCc3bo0CFUqlQJsbGxopISz58/h62tLTZu3AigJKqld+/e2Lx5s9zLIJTmWyfLy5cvIyUlRe4b0ocPH6Jhw4Zo2rSpKLoZKHk+3NzcYGhoiIULF2LHjh2Ij4+HpqZmhfVtKg/ZWvUfP35khk7heLt27RAfH8+unzFjBhISEkTROPJG+NwnT57gxYsX7DksKirC6dOn0bJlS1GZLOF6qYVeYWEhpk+fDp7nRdFVqampMDU1xZIlS5Cbm4uJEyeibdu2csmglUW4T7t374aLiwsWLlzI1qkvif2ePXvK3UFbVFTE5q2nT58iPz+fif1z586hZs2aGDJkiOh3IiIiEB4eLmmJ4+zsbJaNKhzfunUrXFxc4O/vj5cvX4p+ryLLHD558gSNGzdG7969cffuXVy7dg3q6uqYOnUqZs6cidjYWFSpUgVr165lDsUuXbqIeihKwaFDh6ClpYVly5bh48eP2L9/P3ieR3h4OLKzs5GdnQ1vb2/wPI+DBw8qRBSrwIcPH9C/f3/ExcUBKFkfDA0NERoaig4dOsDIyEhkSC0tpisaWUF5//598DyP2NhYkdG5PIdienq6JFHjQEl5ufnz52P58uUi0T5r1izo6+tj7Nix5WYdymO8pdfHkJAQGBsbY8OGDWxuP3PmDKpVq4bu3buX+6xKNV/l5uaicuXKCA0NFWVcREZGftGhCEif8f2/oMw6QxZF02/KpDGUbT+sLDqzPBRZvymDdvsaimhrkv0MRdYYso7u2rVrY+rUqaLP37JlSxmHohDMpki8evUKEyZMYNmot2/fRnh4ODQ0NESl3oGSkqIVXT5WuK+HDx/GkCFDEBoaioULF7L3+tSpU7C3t4eTk5PClHjft28flixZgrVr18LHxwfBwcGsv/DBgwdZBSEzMzM4OzsrVOAiUGJbKL2Gnjp1CoGBgbC0tGRVnLKzszFixAi5BZgooib+FlJTU+Hu7g4/Pz/RejRnzpwyPejkjbLZRUrz22+/wcDAgJW7Tk9PB8/zrBIEUPK8hIWFoW/fvhW6Xn2tApKbmxt4nkdiYiJ27tyJNWvWYN26dfj1118lT1YQ+G9tDfIODCdn4v/I4sWLoaamxiJvhOiAtLQ06OvrIzU1VXR9RUcLCC/M6dOnMXHiRMTHx4samWZlZaFVq1YwMDBgC5K8BVN5dctfvnyJsLAw1KxZE3FxcaIxvX//Hu3atYOxsbHkjWSTkpKgpqYGHx8fODg4oFq1aoiMjGTnx4wZg+bNm2Pw4MGSLUDFxcXsOUtJSUGlSpUQExPDxManT5/g5uYGPz8/XLlyBfHx8TA3N5fckfgtk6WsAUgqlixZAp7nYWpqygwTsu919+7d4ejoCENDQ7Ro0UKSzejOnTvh4uICMzMzTJgwQVS6MDQ0FD169AAAjB8/HjzPS9q/S3jX9+zZgxYtWsDc3ByOjo7MECVkKLZs2RI2NjaiKHipkJ2fXr9+jcTERPA8j3nz5rHj3bp1g4GBAQwNDVG3bl1R/xB5snPnTlSrVg2//PJLmRJ1ycnJaNCgAWJjY0V99OTF9u3bRfclOTkZjo6OaNKkCQYOHMga369ZswY1a9aEr68vhg4disjISNSsWVNkKJYXsoYJMzMzGBkZQVNTEz/88APrNfjrr7/CxcUF7du3l6sDKS0tDU5OThgwYADGjBmD4cOHs3N5eXlYsGABVFRUcPjwYVy5cgVaWlqIioqSrIxfXl4eYmJiMGnSJAAl+xNjY2N06tQJmpqaaN++PbKysnD//n24uLhI3suxPG7cuIFTp04hLy8Pjo6OiI6OBlAyn1WtWhXa2trYvn273MclO0eNHz8ekydPhr6+PqpUqYKePXuK7mXv3r2hpaWFnTt3iv6GvB2KI0aMgI6ODtq0aQN9fX0EBQVhx44d7Pzs2bPRqFEjDB48uEypv4pG9n5u2rQJGzZsAAD06tUL5ubmWLduncihWKNGDfj7+8t9nOWNV+DixYuoX78+OnXqJJo7he9/165d8hxihaKMOkMZ9JvwmcqkMZRpPwwoh84sjTLoN2XQbl9C0WxNsiiyxhA4cuQI1NXVsWzZMpGhXQgc2bhxI1RVVdG/f3+FyeqR5cqVK1BVVYWlpSWSk5PZ8SdPniA8PBzq6uplnoGKRFh3kpOTUa1aNXTu3BmdO3eGlpYWQkNDWd+248ePw9nZGSYmJnJ3HKWkpDBHoTDeDh06sL6zmzdvhpeXF4KDg1lW3+vXr5Geno5bt26VcXxJzdOnT9GqVSs4OzuX6Tl5+PBhmJqawsnJif1b5LV/V2RN/Hd8rRTrnDlzWMlIeY5ZGe0i5ZGcnIy2bdsCKAnYUFNTw+LFiwGUaH9hnLm5uRUaAPO1Ckg5OTnIzs6Gra0t3NzcFGY/VR6KamsAyJn4/2L37t2s1MyjR4/g5OSE7t27ixae69evw8TEpEy0UEUivIzJycmoU6cO2rRpw0pKLFmyhJ3PysqCp6cn1NXVJWmCDIjrlguTZl5eHnr27AlHR0csWrRItOF7//49QkNDJU0vz8rKQoMGDdhG5M2bN9i/fz9q1aol6o02bNgwtG7dWpJJSTZtXzBsHTt2DJUrV0ZMTAxLe05KSoKtrS3q1asHIyMjyRwdpfmWyVJ2Iy0FJ0+exJw5c2BpaYlmzZqx6EXZjVteXh4ePHggScPetLQ0aGpqYvLkyRgyZAgcHBzQsWNHVnJzxIgRiIqKwvTp01G9enWF+O737t2LmjVrYvbs2Th69Cgrh7B8+XIAJc/1mTNnYGVlhRYtWqCoqEjSsgOlHZp5eXmYMWMGeJ7H7Nmz2fFdu3YhOTlZsnnr0aNHcHBwYM3EP336hLdv32Lnzp3MsLd7927UqFEDQ4YMEdXer2iuX78OBwcHBAYG4ubNm3jw4AG0tLSQmJiIkSNHwtfXF61atcKZM2cAlDzXwcHBCAgIQHh4uKQb5uPHj0NVVRVLlizBsWPH2JobGhqKnJwcFBUVYfPmzbC0tERYWJhcjRNpaWlo3rw5DAwMMGDAANG5169fIzIyEl26dAFQ4vS4ffu23MZWmo8fP2Lbtm24c+cOXrx4AXt7e9Zza/PmzeB5Hu3atcPDhw8VItJSmHOuX7+OkydPit7rQ4cOwcnJiYnn8+fPw8fHByNGjBCVFpU3P/30E2rVqoUTJ07g9OnT2Lx5M6pWrYqIiAiRQzEkJAQ+Pj6SjXPu3Llo2LAh2zMvX74cPM/D09NTlNUyceJEBAcHy3X+l31/f//9d9jb28PW1pY5nXr06FHGoXjs2DF4eHhIbpgUjM/C/UpNTYWuri46duwoylCU+vuvCJRJZyiLflM2jaFs+2Fl0JlfQtH1m6Jrt9Ioqq1JFkXTGOWtt58/f8bgwYPRtWtXACXv1NmzZzFw4ED07t2blWZes2YN6tatK1kA0N8RExMDnufZvRZ48uQJIiIiwPN8hfY8l3XOASXlNK2trfHLL7+wYxcvXoSbmxs6dOiA3NxcFBYW4uDBg/Dw8JDruipbqUXI1gOAVq1aiXpXb926lTkUFSl44Ets3rwZ3t7e8PT0LJN5GhAQAFVVVTRv3hwfPnyQ6x5ZkTXx1/j8+TO2bdsGU1PTckuxTps2Ta4lI5XZLlKadevWwdraGsnJydDQ0GCORKDEudytWzfRXFuRz8S3VECytbVF48aNJU+sAZTP1kDOxP8S2VJRwkZ02bJlaNmyJQICApCWlsZqWLu5uVX4hFl6cT937hz09PSYEf7Ro0eoVq0aKlWqJKpJfPv2bfj7+8vdkCi7aX/27BlatWoFX19ftgF69eoVunXrBhcXlzJCX16U950VFxfj8uXLMDIyKvOy7t27FzVq1MCePXvYMSmbNe/cuRNubm4wMTHB2LFj8fz5c5w7dw6VK1dGdHQ0E0nPnz/HxYsXJcv0UpbJUhjnjRs3cP78eRZd+eDBAzRt2hROTk6ixWf//v1ydcrIcufOHUyZMkX0ru/bt49tljMzM7F27VrwPI+qVatKGikqkJ2dDS8vL1Ym9NGjRzA0NISdnR14nmclk4qKinD+/HlJ+8IAJc9BjRo1sH79etHx169fs8h2oQyN1Dx48ACNGzfGvn37UFRUhMmTJ8PV1RVaWlqoXbs2i8BPSUkpE1EsDwRh1KlTJ0ybNg3jxo1j544cOYKQkBC4urri2LFjot+TurxtQkIC/P39RccyMjKgra2NoUOHAigRKdu3b5fkec3MzIShoSHMzc3LCOSEhATY2NhIlo1YGmEcGzZsgIuLCxPIW7ZsgYeHBwwMDBQqI3Hnzp1QU1ODiYkJqlWrhqVLl6KwsBApKSnQ0NBgz+ro0aMRGRmJ169fSzbW4uJitG/fvkwpnKNHj6Jq1aro06ePaN2VqrTpmzdvkJCQwIxkSUlJ0NLSwrhx4+Dg4AAHBwfWFwr4a02Wd0DJ8OHD0bFjR7i6ukJbWxtGRkZISkoCUOJQtLCwwIYNG8p851IZTqZPn46IiAi2xxPu16VLl6Curo5OnTqJ+gEpioHnf0UZdAagfPpNQFk0hiLvh5VdZyqDflMm7VYaRbM1fQlF1BjZ2dksQ2PTpk2IiYnB8OHD0bp1ayQnJ6Nbt25o164dnJyc4O3tDVNTU+aglXcrir/j8uXLIgdBdHQ0atasWabn5OPHj9GnT58KK8sn65y7fv06gJJMOSMjIxYgIDyDFy9ehJqaGtasWcOOS1HOMi0tDc2aNUN0dDS7h35+fqzqkcCmTZvg5eUFT09PhXHGyAZMFxYWiual3bt3w93dHd7e3qJS1wMHDsTKlSslKX+t6JoYEK9Z586dE5X237FjxxdLscq7ZKSy2UVkP1d2HRL23jzPixz479+/R1BQEHr06CEXDfctFZDu37/PKiApQp90QLlsDeRM/C8oXSqqe/fueP78OYqKirBx40Z4eHigcuXKaNq0Kdzd3dkLVlGbPNnFXYgwXrVqFWtump2djUaNGmHAgAGYM2cOeJ7HL7/8woS2lL2mMjMz8fLlS2zduhV+fn4IDg5mEaEvX75Et27d0KpVK8yaNUsSA5fsZnTLli3o27cvbt26herVq5cpBfbs2TOYmZkphAOhdBSunZ0dgoOD8eDBAyb2+/XrJ9fGrF9D0SfL0unx5ubmLD1e6KkgNBk/duwYRo0ahbp160rSayEvLw9OTk7Q0dHBqFGjROf27duH1q1bo3PnzhgzZgw6derEojGlQLivBQUFePfuHcaPH4/c3Fw8fvwYFhYWiImJwcuXLxEeHl6mfKjUPHr0CNHR0dDW1saWLVtE565duwZNTU2RE1SeCPf1+fPnePfuHctEMzY2Ru3atREcHIyff/4Zr1+/hq2tLX744Qe5jxEQG3vXrFmD9u3bo1GjRmWcHsLG2d3dXSSepcxKLS4uRu/eveHn5wegZH0XSk5t2LABOjo6cu/lWh5XrlyBtbU1IiMjRWXbYmJi4OPjwzKWFIXJkyfDysqKCblRo0ZhwYIFkjuOBYqKivDixQu4ublh2bJluH37NuuXOmPGDJw7dw4dO3ZEgwYN0KJFC6ipqYkcBfKg9HtRUFAAFxcXxMTEsH+DcD9HjRoFnufRr18/kViWt1Fy7dq1mDt3Li5fvozc3Fxcu3YNJiYmmDt3LoCS7G41NTU4Ojoy8V9cXCz3OWDNmjXQ0tJCWloaXr58idzcXPj5+cHJyYmVB+3Vqxdq1arF5ip5j7H0d7dr1y5mkBYcOsI1QsnjgIAA3Llz54t/QxlRBp2hjPoNUB6NoQz7YWXVmQKKrN+USbuVRtFsTbIousb49OkTunTpAldXV8TFxYHneWzatAmHDh2Cn58ftLW1ERERgZSUFBQXF2Pbtm1o2bKlwjkRi4uLkZeXhzp16sDf37/cPselHYoVvYaVds7l5eVBT08PS5YsAVBSaUR4Bv38/Ni+U0rS09Ph4OCAPn364OrVqwgPD8eRI0fKXLdo0SJERERUeJ/Jv0MoVSvcx3379iE4OBju7u4YMWIEc+Tu27cP7u7usLCwwOLFixEbGwsjIyNJxq8Mmli2FKug0WrVqoWAgADs378fQIlT2dXVVbJSrMpmFykdGLRq1SrExcVh7ty57Dlct24d7OzsEBQUhHPnzmHHjh1o27YtrK2t2R62osf9rRWQcnJyFKICkjLYGkpDzsRv5Eulorp27SqKDkxPT0dWVhZbCCr6wZRd3IUX5eLFi8jPz4eXlxeioqJQVFSEhw8fok6dOuB5HrNmzarQMX0J2c29rq4uJk6ciKKiImzZsoVFigpC/9WrVwgKCoKfn5/c65aXtxldtmwZioqKEB4ejsDAQJZiDpS8+C4uLmxDJRVfisL18PBAUFAQHjx4gPPnz4PneQwdOlSyLARAuSbLr6XHP3z4EE+ePIGDgwOMjY1haGgoaZmk9PR0mJmZwc3NTSQ+gJJnQZgrpDb0ACVNw/v164fs7Gy28Rw7diz8/f1ZZPvo0aPRoEEDaGtr48WLF5L1BwJKotlOnz6Nx48f4+XLl/jxxx+hoaEhaib97Nkz9OrVC/PmzWObfnkjZA00adIE06ZNw5o1a7Br1y4sXrxYtEEODQ1FYmKiJGMUOHDgAJYsWYJff/0VDg4OMDMzE2XKACUl1Ly8vNCmTRu8f/9eruMrLi5m8+SLFy9YdK3QJ+S3334D8Jfw27lzJywsLOQeyfgl0tPTYWVlBSMjI0RGRqJfv36oXbu2QpbzSU9PR7Vq1eDm5gZvb29oaGhIvkEGxIEP79+/R0JCgmhPMm/ePFSqVAm//PILDhw4gKVLlyIhIUHujdtlDYl37txh5WNWrVoFdXV1HD58GMBf/545c+agU6dOqFKlCovYlDcFBQVo164dOnTowI4tW7YMLi4u7B5v3rwZQUFBiI+Pl9TRNWbMGLRs2RJFRUVsHDk5OXB2doahoSFzKE6ZMkUSB7jsfu727dvMKH7x4kVUrlwZffv2Fa37y5cvR8eOHREUFPSPcCAKKIvOAJRLvwHKpTEAxd4PK6vOFMaiDPpNmbSbgKLammRRdI3x6tUrODs7s0AagZycHJYdKawT8fHxcHd3Zz00FY3z589DX1+/TJ/jyMhIaGtrY/fu3XIdj+Cci4qKwqNHjzBnzhxUrVoVJ0+eFF3n7e2NCRMmyHVsXyI9PR1OTk7o1asX1NTUYGRkBB8fH/j6+qJ169bw8fHBDz/8IFkGvcC5c+dEwdOHDh1iFUSGDh2KBg0awMPDg2Wnnz17Fl27doWJiQlcXV0rtMStgDJr4jNnzqBWrVosIOfo0aPgeZ6V3ywqKsLWrVthYWEhaSlWRbeLAEBsbCz8/PzYmjlp0iTUrFkTwcHBqFq1Kvz9/Vnf1PXr18PT05OV4O3QoQPTSPLaIypDBSRlsTWUBzkTv4G/KxXVu3fvckt3yGsiSk9PZ552oezNvXv3YGtryyIDnz17hqioKCxevFgyIzdQIuBUVVWxYsUKUQTNzp074ePjIxL6r1+/lrSno7AZlY2s27t3Lzw9PdGmTRts2rQJaWlpGD58OGrXri1pX6SvReHu3bsXrVu3RkhICO7du4fU1FTJngFlmyz/Lj0+KCiIbUAzMzMVotdCZmYm7OzsEBMTU8aAsn//fskXTIHVq1ejfv36GDRoEHseQ0JCEBERwa4ZOnQo1qxZI7nQEyKwjYyMUL16daxevRpXr17F8OHDUbNmTSxduhS3bt3C2LFj0apVK8nKDchmDQwaNAhOTk7o2LEjzp8/z675888/MW7cONStW1eu75VsSTdhHujQoQPrt7Fjxw60bt0aoaGhZQxPJ0+elGvEZUpKiiibLzk5GW5ubjA1NcX48eNx4MABDBkyBObm5vjPf/7Drhs1ahQcHR0lMUx/iStXrsDExAQNGzbEjBkzJI8Q/Rpnz55F9+7dMWDAgDJzl5Ts2rULbdq0gaWlJczNzcs8n3PmzEH16tUxYcIEyR0zo0ePRtOmTaGtrY34+Hhs374dgwYNQpMmTdiz+vbtWwQGBmLXrl1YsGABtLW18eDBA7kGawiflZGRATU1Nfz6668AgPnz58PW1hanTp1Cfn4+2rdvLyqRI+/7K4xz8uTJcHJyYqJUEMNHjx5FjRo10KpVK+zbt4/9nrxE8uLFi0VGpBEjRsDc3By1a9dGy5Yt2bwr9LQ7d+4c3r59i+DgYHbPgX9GRqKAsugMQHn0m7JojNIo8n5Y2XSmMuk3ZdRuim5rAhRbYwh8+vQJXl5esLOzg6+vb5mWFEDJvmPIkCHQ1NRUiKA14K/3Swiu/bs+xx07dkTDhg3lXmUkPT0ddnZ2iI6OxpEjRzB48GBUqVIFs2bNwurVqzF8+HBoaGgohJFbIC0tDdbW1rC1tUW3bt2wbt06zJ8/HxMmTMDUqVNFfRWl4v3795g5cyZUVFSwaNEirFu3TuSMz87ORtu2beHh4SEqGZybm1vhmbX/BE08d+5chISEAABu3boFExMT9O3bl53Pz89HUVGRXEuxKpNdRJYjR47A2NgY4eHhOHToEDp06ICzZ88CKLm3zs7O8PPzYw5FoKTc+Js3b9i/U4osQEWvgKRMtgZZyJn4DXxLqajY2FhJJ0tBkEZHR+PatWus3v769evx4sULjB07Fo6Ojnj79q1kYywoKEDnzp2RkJAAoGTivnXrFhITE3Ho0CHMmDEDQUFB8PT0lHxz97XN6L59+9CzZ09Ur14d5ubmMDc3l0tE0N/xtSjclJQU2NraokuXLpKncSvTZPkt6fF+fn4KZ6AXogeF+UBRWbduHZo0aYL+/fvj/v37WLp0KapWrYpx48YhMjISderUkaSXn0B5EdhTp05FpUqVMGvWLPz++++YNm0aeJ6HsbExdHR0JMv6Ki9rQDBKhYSE4PTp0zhz5gx69uwJfX19uc5ZsiXdZJ/HVq1aiRwFv/76K8seKR2JJy9kx3rnzh3cuHEDWlpamDJlCoYMGQJHR0d06dIFc+bMQVxcHFRUVODs7IyWLVtCS0tLIdaC0ly6dAm+vr549uyZ1EP5W2R7hSgCqamp0NDQQGxsLCIjI6GiooIhQ4aUmfNnzJgBLS0tufexkl0jt23bBn19fezcuROTJk2Ci4sLwsPDMXfuXPz444+oXLkyy1S1tLREYWEhtm7dCnNzc0kCNoqLi1FQUICoqCj07t0bQImRz9raGiYmJjAwMIC1tTXbb0v5XFy5cgWVK1fGxIkTRccPHjyIjh07wsvLCz4+PnLtuZWVlYUGDRqgb9++uHPnDpKTk1GvXj3s2rULa9euxfDhw1GpUiVs2rQJV69eRaNGjdCgQQMYGBjAxsZGIe7r90aZdIaAMug3YZzKoDFKo6j7YWXUmcqi35RRuym6rUmRNUZpPnz4gNzcXAQEBMDT01PUJ+/WrVuIiYmBl5eXyEGiCBw6dAgxMTEsW1q2z7GmpiZCQ0NF2kiqKkPp6elwdHREv379cPz4cSxcuBDGxsawsrKCm5ubQlY/ycjIYNnoUvXt+zsKCgrw008/oVKlSqhTpw5zJgrBaQ8fPkS9evXkWk3kn6KJ4+PjWf9GfX19xMTEsPdr27ZtrFe1vFAmu4gswrp+5swZNG7cGEFBQfDy8hJlpf/+++9wdnZG27Zty5Rjlv0b8kZRKyABim9r+BrkTPwKylIqSkC2/MCDBw/w008/ged5mJmZoVatWpJP6O/fv4eTkxMGDRqEFy9eYODAgWjdujX09PTQoEEDzJ49G2vXrkVgYKDkdcuBspvR0tFt9+7dw7179ySprf0lvhaFe+jQIcmFkzJOlsqQHl8e6enpaN68Obp06SJpf0RZ7t69WyYLYM2aNWjSpAl++OEHHD9+HNOmTYO1tTU8PT0lEyR/F4E9d+5c8DyPxMREfPz4EXfu3MHZs2cly3D4u/5AHh4e6NKlC6ZPn46NGzeKemTJi9L9NoCSvhqyIh8o6Vvg5eUFT09PUVkfeZKWlgYnJycMHDgQU6ZMwZQpU9i5PXv2wMfHB507d8bu3btx/PhxjBw5Ej/99JOkju+/Q5jHiG/nzp07GD9+PGbMmMGOLV68GA0aNMCoUaPKrFtSBpSdOHECgwcPxqpVq9ix3bt3s2f14MGDSE1NxaxZs7B06VJmpBwyZAg8PT3llk39yy+/YNGiRSLn5YYNG6Cmpsb6xWRmZmLz5s1YuXIlc0wogoNizZo1UFFRQXx8PC5duoS7d+8iICAA06ZNw/Xr18HzPCvzJC8yMjLg6OiIIUOGIDY2FnPmzGHn3rx5g/nz56N69eo4e/Ys7t+/j+TkZKxbt07y3nsVhbLpDAFF128Ciq4xvoQi7ocB5dKZyqbflEW7KYOtSRk0RnkIa7S3tzc2bNgAAJg5cyYCAgIUovRiafbt28cylUv3Od62bRuqVq2K0NBQhQiKSEtLg6OjI6Kjo5Gbm4uPHz/i3bt3klcS+hrp6elo1qwZwsPDFSZ7HhAHdH369Anz5s1DtWrV0K9fPwAlz4CwZ4uMjGQZdvJCmTTxl0qx7t+/H2pqalBXV8fQoUNFDq3o6GhERkaya+WFMtlFgL/mIuF/T548CWNjY6irq5fpRXrt2jW4ubmhefPmosx1qVHECkjKZGsoD3ImfgFlKRVVGiHCtW/fvrh9+zbS0tKwc+dOhRF469atg6qqKjQ0NBAaGop169YBAAYPHsya90odfVsa2c2oMN5Ro0aJavErEooahavsk6Wip8eXx8WLF9G6dWuF6JH48uVL6OnpISEhocx4Vq5ciapVq2Lw4MG4efMmPn/+LPfSLaX5uwjsefPmQUVFBQkJCZLUrC/N3/UHEnpGVHQ5lK8hzE19+vTB1atXER4eXmYDCgCLFi1CRESEpMbetLQ0NG/eHAYGBhg5cqTo3J49e+Dp6YkOHTooZAQu8b8jGM/q1KnDspwEFi5cCH19fYwZMwZZWVnsuFR7v9zcXBgbG0NDQwNz584VnduzZw+8vLwQEhKCixcvsuP37t3DgAEDoKmpKbdo1/z8fAwdOhTVqlVDYGAgxo4dy8716tULbdq0KXd+krr3miw7duyAjo4OGjRoAH19fdjb26OgoAD379+HqampJFGugqGnVq1aIiMPULLutm/fHgMHDizze4p0X78nyqgzAMXXbwKKqjH+DkXaD5dG0XWmMus3RdZuymRrUgaNUR5ZWVkIDQ2FlZUVHB0doampqRDGbVmnx/Pnz1lA1/nz51mfY9k+fkKvSlNTU+Tk5Egy5tLIOueUZS1QtHVAeI+vXbuGU6dOsX7Xc+fORaVKlURZagAQEBCAXr16yf39V3RN/HelWI8cOYJRo0ZBR0cHhw4dAlCyTiUkJEBHR0eyICNlsYvIOl9v3brFxnH79m0YGRkhNDQUly5dEv1OZmYmYmJiJK8yVxpFqoCkTLaGL0HOxHJQtlJRpREiMMPDwyXtr/Alrl27xjbJwgQzYMAAREREsFrxiobsZrRZs2bQ0NBQiM3ol1C0KNx/wmSpyOnxX0ORMpKOHTsGQ0NDTJo0qUwWn729PTQ0NBAfHy95tsS3RmDPnDkTWlpaChE1Dnw9a+DAgQMKYZRMT09nRgehD6WPjw98fX3RunVr+Pj4iKJypSQzMxONGzf+Ylk3Ozs7REREID8/X+HmK+J/Jz09HaampnBzcysTDbpkyRJUr14dkyZNkny+AkqeVTMzM/j6+pZxDqakpMDKyoplFLx+/RorVqxA+/btJSnzdfv2bYwePRrm5uYwNjbGnDlzMGbMGLRv314hyvj8HTk5OTh37hxOnjzJ9rCjRo2Cubm5ZPPWlStXYGhoCAcHhzJZbFFRUWjXrp0k45IKZdQZgOLrNwFF0xjfiiLth0ujqDpT2fWbomo3ZbQ1KYPGKI+cnBysWrUKkyZNkryXX2mnR1JSEpydnVnJwN9++42VVY+JiWF7z3HjxmHBggUKEbwqi6I5574FRVsHdu7cCTU1NRgbG6NatWpYsWIFnjx5gjlz5qBSpUro2bMnxo0bhx9//BE1a9aULDtNUTXxt5RiDQ8PR2JiIvr37w8VFRXY2trC2dkZjRo1krzyg6LbRWS/y5EjR4r6su/atQtZWVkwMjJCp06dyjgUBRTNoahIKJOtoTzImVgKZSkV9Xcoy+J+48YNJCQkQFNTU9LU7W9BkTaj34KiPQPKPlkCipker2ycOnUKDRo0wOTJk9mzmZ+fj9jYWEyfPl1yA5oyR2ADypE1kJaWBmtra9ja2qJbt25Yt24d5s+fjwkTJmDq1KkKNW5lLetGfB++9v2vXLlSoUrbXr58mWU2lR7rmTNnRJlob968kTT47fPnzygoKMDQoUMRHBwMTU1N8DyPn376SbIx/X/4/fff0aNHD9SuXVvyLOXMzEzY2tqiZ8+ebCxv3ryBq6sr+vbtK+nYpESZdAageHv3L6Es41QmFFVnKrt+UzTtpsy2JmXQGIqKrNPj7t27uHbtGtTV1TF16lTMnDkTsbGxqFy5MutzXK9ePZiYmMDOzg5aWloK1+NRQNGcc8pCUVERXrx4ATc3Nyxbtgy3b9/G1KlTwfM8Zs6cicePH+OXX36BhoYG6tWrh6SkJMnfOUXVxH9XitXX1xdhYWHYvXs3Tp8+jRkzZmDz5s0KUeoaUFy7iKwTcMuWLeX2ZV+3bh3u3r0LY2NjdO3aFefOnZNkrMqMMtkaSkPORBmUpVTUt6Loi/ulS5fQtWtXWFhYKOwGSdlRtGdAmSdLAUVKj1dWTp06BUNDQwwcOBCbN2/GmDFjYGlpKXlmt7JHYAsoQ9ZARkYG6xVw7949qYfzVch48u9Gmb5/Yax9+/Ytd6yKUtpSdt7MysrCmjVrEBgYqLDG6PL4/Pkz0tPTMWzYMIUwUAMl37+lpSX09PQQFBSETp06wd7enhmjFXG9qkiUVWco2t79SyjLOIn/HWXXb4qi3f4JtiZl0BiKiuD0GDBgAMaMGYPhw4ezc3l5efjll1+goqKCI0eO4O7du1iwYAGmT5+OP/74Q8JRE98TYR4qKCjA+/fvkZCQIApMnjdvHnMo5uTkYPbs2ahduzZevXol0YjFKKom+lop1t27d7NSrGlpaRKN8Ososl3k2LFjiI6O/mJf9jNnziA9PR01atTA+PHjJRyp8qKo79XfQc7EUihTqShl5/379zh58iSrD078O1DWyZL4vqSmpqJVq1Zo2LAhLC0tFWZzp+wR2ALKkDUg22/j+vXrUg/nq5Dx5N+NMn3/wnvVqVMnUeCDovElw66iz62lUYTeW7JcvXoVJiYmsLKywrp165gDWdnu6/eAdAZBfD9Iv30f/gm2JmXQGIqKrNNjwIABonOvX79GZGQkunTpItHoCHmwa9cutGnTBpaWljA3Ny9TennevHmoWrUqJkyYgNzcXLx48UKikZaPomoiRS3F+q0ool1ECIARsqhlEfqyC/NYRkaGwgStKiOK+l59DXImloMylYoiCGVEGSdL4vvz5s0bZGdn49mzZ1IPRYSyR2ALKEPWgDIZJJRprMT3R5m+/wsXLqB3795K1adCEYW9snLx4kXExMSwe6pMzwFBEIoL6bfvwz/B1qQMGkNRyczMhKGhIczNzcuUSE9ISICtra3CBSoR34fU1FRoaGggNjYWkZGRUFFRwZAhQ8qUCJ0xYwZq1aqF58+fSzTSr6OomkhRS7F+K4p4XzMzM2FsbPzFvuxt2rQRHSOH4v8fRfz+vwYPABxRhoyMDC46OppzdHTkhg4dyllaWorOFxUVcZUrV5ZodASh/KSmpnLx8fHcli1bOD09PamHQxAihDXAwcGBi4uLK7MGEN+PDx8+cNWrV5d6GN+EMo2V+P4o0/cPgON5nisuLuYqVaok9XAIOUPfP0EQFQHpt+8D2Zr+3Vy9epWLiIhg37+trS3HcRzXr18/Lisri9u1axdXs2ZNiUdJfE/u3r3LrV+/nlNVVeVGjRrFcRzHLVmyhJs+fTrXvXt3LjY2ljMwMGDXv3r1iqtVq5ZUw/1bFFUTKbsNRxHv65UrV7iePXtytra2XFxcHGdnZ8e9ffuWa9u2Lde0aVNu+fLlUg/xH4Mifv9fgpyJXyEjI4Pr168fZ2BgwCUmJnKNGzeWekgE8Y9CmSZL4t9HRkYGFxsbyxkZGXETJkzgzM3NpR4SQRDENyM4lIh/J/T9EwRREZB++z6QrenfTUZGBtezZ0/u/fv3nLu7O1etWjVux44d3OHDhzk7Ozuph0d8R968ecN5e3tz9+/f52JiYrhp06axc4sWLeJmzJjBRUZGclFRUWweoD3c/x+y4Xx/MjIyuO7du3MvX77knJycuKpVq3L37t3jzp8/z1WtWpWe138hFKr6Fezt7bmFCxdy6urqoigRgiC+DyRECUVGWANyc3M5TU1NqYdDEATxX0Gi7t8Nff8EQVQEpN++D2Rr+ndjb2/Pbd68matUqRJ35MgRztDQkEtLSyNH4j8QDQ0Nbvny5VytWrW4EydOcL///js7N2DAAG7s2LHc7NmzuQ0bNnCFhYUcx9Ee7n+BbDjfH3t7e27r1q2cqqoql5eXx/n6+nLp6elc1apVuc+fP9Pz+i+EMhO/ASoVRBAE8e+FIrAJgiAIgiAIgvjekK3p301aWho3evRobtOmTVzdunWlHg5RgVy5coXr1asX17x5c27w4MFc06ZN2blVq1Zx7u7unKmpqYQj/GdBNpzvz+XLl7nY2FjOxsaGGzFiBGdiYiL1kAiJIGfiN0JpuwRBEARBEARBEARBEMT3gmxN/27I6fHvQdl7+hEElZElOI7KnH4ztLkjCIIgCIIgCIIgCIIgvhdka/p3Q47Efw/29vbcypUruStXrnBTpkzhbt68KfWQCOK/gsrIEhxHmYkEQRAEQRAEQRAEQRAEQRAEUaGkpqZy8fHx3JYtWzg9PT2ph0MQ/zWUUf3vhpyJBEEQBEEQBEEQBEEQBEEQBFHBkDOGIAhlhZyJBEEQBEEQBEEQBEEQBEEQBEEQBEGUC/VMJAiCIAiCIAiCIAiCIAiCIAiCIAiiXMiZSBAEQRAEQRAEQRAEQRAEQRAEQRBEuZAzkSAIgiAIgiAIgiAIgiAIgiAIgiCIciFnIkEQBEF8RyZOnMjxPC/6z9zcXOphEQRBEARBEARBEARBEARB/L+oIvUACIIgCOKfRtOmTbnDhw+zn6tU+b7LLQCuqKjou/9dgiAIgiAIgiAIgiAIgiCI0lBmIkEQBEF8Z6pUqcLVq1eP/VenTp2vXn/27FnOzs6Oq169Oufk5MTt2rWL43meu3z5MsdxHHf8+HGO53nuwIEDnKOjI1etWjXu9OnT3N27d7ng4GBOV1eXU1NT45o1ayZyYnIcxxkaGnJTp07levbsyampqXEGBgbcnj17uD///JMLDg7m1NTUOBsbG+7SpUsVdTsIgiAIgiAIgiAIgiAIglBiyJlIEARBEN+Z27dvc/Xr1+eMjIy4iIgILjs7+4vXvnnzhgsKCuKsra259PR0bsqUKdzIkSPLvXbUqFHczJkzuRs3bnA2Njbcu3fvOH9/f+7IkSNcRkYG17ZtWy4oKKjM582dO5dzc3PjMjIyuICAAK5Hjx5cz549ue7du3Pp6emcsbEx17NnTw7Ad70PBEEQBEEQBEEQBEEQBEEoPzzIckgQBEEQ340DBw5w796945o0acLl5uZykyZN4h49esT9/vvvnLq6epnrly5dyo0dO5bLycnhqlevznEcx61cuZLr27cvl5GRwdnZ2XHHjx/nPD09uV27dnHBwcFf/XwrKysuNjaWGzhwIMdxJZmJrVq14jZs2MBxHMc9efKE09PT48aNG8dNnjyZ4ziOO3/+POfi4sLl5uZy9erV+563gyAIgiAIgiAIQiGZOHEiN2nSJNGxJk2acDdv3pRoRARBEAShuFCzJYIgCIL4jrRr1479fxsbG87Z2ZkzMDDgtm3bxqWmpnIbN25k59+9e8f98ccfnI2NDXMkchzHNW/evNy/7eTkJPr53bt33MSJE7mUlBQuNzeXKyws5AoKCspkJtrY2LD/r6ury3Ecx1lbW5c59uzZM3ImEgRBEARBEATxr4H63RMEQRDEt0FlTgmCIAiiAtHS0uLMzMy4O3fucJMnT+YuX77M/vtvqVmzpujn4cOHczt37uSmT5/OnTp1irt8+TJnbW3Nffr0SXSdiooK+/88z3/xWHFx8X89JoIgCIIgCIIgCGWF+t0TBEEQxLdBzkSCIAiCqEDevXvH3b17l9PT0+N0dHQ4ExMT9h/HlZTRuXr1Kvfx40f2O6mpqd/0t8+cOcNFRkZyoaGhnLW1NVevXj3u/v37FfHPIAiCIAiCIAiC+MdB/e4JgiAI4tsgZyJBEARBfEeGDx/OnThxgrt//z539uxZLjQ0lKtcuTLXtWvXcq/v1q0bV1xczMXExHA3btzgDh06xM2aNYvjuL8yBr+Eqakpl5yczF2+fJnLzMxkf4sgCIIgCIIgCIL4Os7OztzatWu5gwcPckuWLOHu3bvHtWrVinv79m2512/evJnjeZ5bsWIFZ2lpybVr146Lj48v99rJkydzvr6+nLGxMaetrc3Z2tpy/fr146ysrDhTU1NuypQpnLGxMbdnzx7R7/n7+3P9+vXjTE1NufHjx3Nv3rzhmjVrxnXu3JkzMzPjRo4cyd24cYN7+vTpd78fBEEQBPE1qGA3QRAEQXxHcnJyuK5du3IvXrzg6taty7Vs2ZI7f/48V7du3XKv19DQ4Pbu3cv98MMPnJ2dHWdtbc2NHz+e69atm6iPYnnMmTOH69OnD+fq6srVqVOHGzlyJPfmzZuK+GcRBEEQBEEQBEH8o6B+9wRBEATx7ZAzkSAIgiC+I7/++ut//Tuurq5cZmYm+3nTpk2ciooK16hRI47jOM7Dw6PcMjaGhobc0aNHRccGDBgg+rm8sqel/5ahoSGVySEIgiAIgiAI4l9N6X73w4cP/3//rfL63f/222/crFmzOBMTE05VVZXr1KkT9bsnCIIglAZyJhIEQRCExKxfv54zMjLi9PX1uczMTG7kyJFcWFgYp6qqKvXQCIIgCIIgCIIg/hUI/e579OjB6ejocDo6OqLzTZo04TZu3Mh9/PiRq1atGsdx/79+98JnUb97giAIQpmgnokEQRAEITFPnjzhunfvzllYWHBxcXFc586dueXLl0s9LIIgCIIgCIIgiH8s1O+eIAiCIL4dykwkCIIgCIkZMWIEN2LECKmHQRAEQRAEQRAE8a+B+t0TBEEQxLfDg5okEQRBEARBEARBEARBEARB/Fds2rSJ6927N5eXl0dtKgiCIIh/NJSZSBAEQRAEQRAEQRAEQRAE8TdQv3uCIAji3wo5EwmCIAiCIAiCIAiCIAiCIP6GJ0+ecOPHj+eePHnC6enpcZ07d+amTZsm9bAIgiAIosKhMqcEQRAEQRAEQRAEQRAEQRAEQRAEQZRLJakHQBAEQRAEQRAEQRAEQRAEQRAEQRCEYkLORIIgCIIgCIIgCIIgCIIgCIIgCIIgyoWciQRBEARBEARBEARBEARBEARBEARBlAs5EwmCIAiCIAiCIAiCIAiCIAiCIAiCKBdyJhIEQRAEQRAEQRAEQRAEQRAEQRAEUS7kTCQIgiAIgiAIgiAIgiAIgiAIgiAIolzImUgQBEEQBEEQBEEQBEEQBEEQBEEQRLmQM5EgCIIgCIIgCIIgCIIgCIIgCIIgiHL5P8BNIus9SeNRAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 201, + "id": "8b7aeb55-0790-439e-9aa6-c314f77b58db", + "metadata": {}, + "outputs": [], + "source": [ + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 202, + "id": "9a01978f-c92f-4a2d-8e75-6df572024fac", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Manza',\n", + " 'Mbangombansi',\n", + " 'Mansambu',\n", + " 'Mamango',\n", + " 'Malakindo',\n", + " 'Mangondi',\n", + " 'Bangaka',\n", + " 'Mandiando',\n", + " 'Kabandi',\n", + " 'Mangatso']" + ] + }, + "execution_count": 202, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 203, + "id": "e82a70cf-aa84-4593-a7b0-69fb8e57b628", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Manga',\n", + " 'Mbamu',\n", + " 'Mamba',\n", + " 'Mbandi',\n", + " 'Katilenio',\n", + " 'Ndendi',\n", + " 'Mamanga',\n", + " 'Malonganga',\n", + " 'Kobua',\n", + " 'Mbako']" + ] + }, + "execution_count": 203, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 204, + "id": "0c56d8d0-ea89-4ca2-bb7a-5ece7799a6d1", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Nzaya',\n", + " 'Maluza',\n", + " 'Mbambu',\n", + " 'Nditse',\n", + " 'Nginga',\n", + " 'Kiamba',\n", + " 'Mbama',\n", + " 'Makatu',\n", + " 'Mbuvi',\n", + " 'Kango']" + ] + }, + "execution_count": 204, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "bff8004b-7655-490f-ab07-2d3efdaeb2c2", + "metadata": {}, + "source": [ + "## EQUATEUR" + ] + }, + { + "cell_type": "code", + "execution_count": 205, + "id": "fb41e77b-44f5-4e6d-9a35-195aef38be33", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"EQUATEUR\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 206, + "id": "aea5cd9f-cc92-4ece-82a5-4d8353ac3de3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 207, + "id": "0b291eec-a06f-4727-84b5-3429684bfe7c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 208, + "id": "ddc49bfa-2f68-4c9f-ab59-d15726673a94", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Frequencies and N-grams\n", + "plot_letter_grid(df_names_region, use=\"freq\")" + ] + }, + { + "cell_type": "code", + "execution_count": 209, + "id": "8beb407b-2bdf-4306-b824-1df33f3a430f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 210, + "id": "4372ab68-b0bb-4990-8d1f-c5bb1571f205", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=3, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 211, + "id": "0d2895ba-2991-4d4b-96f3-ba9697a6cdc6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=4, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 212, + "id": "6e901f61-3513-4795-800d-c2a66e538a23", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Vr18/nXLKKcuF8ffee2+qWLFiOvbYY/MegpelcZEipblPVBbHRYqU5vWa5Z133kkHH3xwWnfdddNmm22WHnjggZTSf76DH3vssVRQUJD7zMiHstLHSKn0j4ssvU0eccQRaY899lhunkGDBqWWLVumBQsWrMnSMpXFMbyxY8fmDnArWt+zZs1Ke+21V2rYsGFeD4C58sor0w477JDef//9XNuCBQtSu3bt0hlnnJFS+mUfq+h/68QTT0w77bRTmjdvXl73C8vKmMjLL7+c2rZtm5588smU0i/7sNWrV08tW7ZMG2ywQbr11lv/8PYqTFwDsjb2119/PdWvXz830LH0EdKtWrUqdqbCmrBsjYWFhemII45IhxxySEopFRswGDp0aGrQoEH697//vUZrLLJsp37GjBnpnnvuSfPmzUsvvPBCatiwYW4n77jjjkvrrbde6tevX/r666/XeK3LrtePP/44d3bPs88+mxo0aJDr5O29996pbt266bLLLsvbF1HWtvr555+nr7/+Ok2fPj1tu+22aeTIkSmlX85UaNiwYSpfvnxuUDHfii6/9sorr6SNN944PfbYYyml/7yvwsLCtO6666YxY8askXpW9L9foUKF9NBDDxVr/+CDD1LdunVTQUFB6t+//xqpL0tWzZMmTUpVq1bNdZB/+umnlNIvRxM1bNgwNWjQIA0aNCjNnz8/74M+zz77bKpRo0Y68sgjc/9HRTW98847ae+99857kJRS2Vqnzz//fKpYsWJuh7Oo1pRS2nTTTXOft6XFzJkzU926ddO4ceNSSr98ZxQWFqb58+enTp06pcqVK6ebbroppZTfQcpnnnkm7bnnnqlp06bLdYzfeOONtP/++6ejjz56jdeVtU6KdkBfeumllNJ/toFvv/021a9fv1R9DxQZPnx4ql27dm6gpGg/68Ybb0ytW7cuth2XtKW/g4q89tprqV69ernB50WLFqWUftlemzdvnurWrZuGDBmyxmosqm9FAdHS669du3Zp+vTpKaWU/va3v6XDDz88nXjiiaUmXPr666/Ttttum3beeeflQpPvv/8+nXnmmWus1i+//DK1b98+de3aNXcZ0xUFildeeWVeBvaKtstlB2smTJiQ2rdvnw477LDcGYpz5sxJW221VerUqVOpOgp7TSht+5hFykI/M6Wy1ddckeeeey7Vrl07HXjggcWCuO+++y5tueWW6X//93/zWN0v7r///lSxYsXUsmXLVFBQkLp3777c2VJjxoxJBQUF6Yorrlhj+0FlrU9cZOm6r7rqqtS4ceN05plnLhfIdejQIVWvXj2dcsopa3TguyyNi6RUtvqZZX1cpLSu12Utvew333wzHXvssamgoCB3hZYFCxbktvPtt98+nXvuuXmpc2mlqY/xa0rzuEjRfmVKv+z/tmjRIj311FPFzjz929/+lrbddtv03XffrdHayuIY3rK+++671KxZs7TJJpukWbNmpZT+874+++yztPHGG6cWLVrkbmmwpn3wwQepZs2aqVu3bsX6PkWXZi46CLNo33Do0KGpQ4cOa7TGsjQmUvR/XFTzBx98kG666aZUWFiYpkyZktZbb7104403ppRS2nLLLdPWW2+dxowZ84c+q4SJJWzpDfCOO+5I55xzTu5x//79U40aNYodlf7DDz+kli1b5gY613SNL774Yu73ESNGpMqVKy/3AXPLLbekDh065GXnfulai1L2lFLuCJGTTz45HXroobkvodNPPz1tvfXWqUePHmt8J2lF67Xoy/Doo49Offr0ST///HMqLCxMffr0SZtvvnnacccd87JDt/SOxK233poOO+ywYtPffffdtMUWW+TOlPjss89S//7905133lkqBhDvueeetM022+R25nbZZZfUokWL9N577+XmmTFjRmrVqlXuSLeStPT6XHowZNGiRal3796pffv2xQY5Z86cmU444YR0xx13pIoVK+aOKF2TVlRzSin16NEj1a9fv9jlML755pt00kknpREjRqTy5cvn5R43r7/+enr66afT9OnTc/dYeeqpp1K1atXSUUcdlfucWtHlHtak0r5OFy9evMLPni5duqRtttkmN/hQWFiY5s2bl7tUQr6s6O/Yu3fvtM022yx3JOaJJ56Ydthhh1RQULDGzvpausZl633mmWfS3nvvnXbffffcwHSRjz76aLkdw5L2a58BPXv2TPXr109ffPFFru2rr75Kffv2TbfeemvevgeKPvO//vrr9NFHH6W5c+emlH458rJz585p2223LdZJOe2009JOO+2Um6+kLb1Ov//++2KD+v369Us1a9Ysth/43XffpSOPPDLdeuuta/RzatmBxbFjx6aTTz45DRgwIE2ZMiXXPmLEiLTFFlukV199NX3//fdpn332SSNGjMhNz8d28Oabb6bnnnsuzZo1K/eZ/9lnn6VtttkmdezYcYVnYa2pWseOHZs6duyY9t9//+XOUNxzzz3z+hla5B//+EcaMGDAcgPkN998c2rVqlU65JBDcgeUzJ07t9RcJnNNKW37mEXKQj9z2TpLe18zpf/U+9FHH6WpU6cWq2Py5MmpevXq6YADDkiTJk1K77zzTjr33HNT7dq183bG19IDhD179kzjxo1Ls2bNSmPGjEn16tVLZ5999nK13XDDDWvsLNqy1icuqqPo96Vde+21qWHDhsUCxUWLFqV+/fqlK6+8stglcEtaWRoXSals9TPL6rhIaV+vy1pRaNOzZ89UtWrVYp8XKaW03XbbpWHDhq2p8kp9H2NZZWVc5KWXXkoFBQXpjjvuSCn9sp7bt2+ftt5663Tvvfem6dOnp1mzZqVOnTqlfffdd41+XpXFMbyUUrHv8xtuuCG999576Z133knbb7992nzzzXOBYkopzZ8/P+25556patWqqXv37mu81qLvpE8//TTVqVMndevWLXc23z/+8Y+0yy67pF69ehW7l3z//v3TXnvttcbOTCyLYyIppeX6JUuWLEk9evRIp59+eq6uvffeO9WpUyf17t37D61LYWIJWnoDfOmll1K3bt1SkyZN0lVXXZVr79WrV1prrbXSmWeemYYOHZo6d+6cWrZsucbu5bJ0jZMmTUotWrQodmm4vffeOzVo0CA9++yz6csvv0xz587Ny4f6srW+8sorqUGDBsWOTFq8eHHq1atXOvzww3Nf4AcccEB6+umnM88KWFO1Fq3Xpc/emTdvXtppp53SwIEDc209evRIb7/99hqvddl6n3322XT00UfntssiU6dOTeuuu266+OKL0+OPP566deuWunTpkpue70Dx448/TpUrV86t5/nz56fWrVunTTfdNF144YXppptuSp07d05bbbVVide69N/usssuS/vuu2/q1q1bevrpp9PixYvTtGnT0gEHHJCaN2+errjiinTPPfekPfbYI3Xs2DF99913qXnz5umSSy4p0Rp/zYgRI9Juu+2WDjnkkNwg55dffpl22223tPbaa6cbbrgh3XLLLalz585pt912SymltNlmm6VBgwat0TrPOuus1KRJk7TOOuukRo0apUMPPTQ32PnUU0+l6tWrp2OPPbZUHNlemtfpsiHCc889l4YPH54uu+yy3M7yP//5z7TTTjulVq1apRdffDFNnTo1DR48OK233nprdOBkaUt/br311lvp1VdfzbVNnjw57bzzzunggw9O33zzTUrplyNb99tvv/TEE0+kww47LHXo0CH9+OOPJfpZu3SNN9xwQzruuOPSCSecUCw8eOqpp9I+++yTdt9998xLL+Yj+F56e50wYUJK6ZfttejSrOPGjUsTJkzIfW4VWVPfA3fddVexMPhvf/tb2myzzdK6666bOnTokAYMGJAKCwvTtGnTUufOnVONGjXS3nvvnTp37pxq1qyZl0vzXnTRRalNmzapc+fOaejQobn2gw8+OK211lrp3HPPTSNGjEi77757at++fW67XBPrdOjQoalZs2a5G8cPHDgw1a5dO+21116pY8eOqaCgIA0bNiwVFhamL7/8MjVq1ChtuOGGacMNN0xbbbVV7qzKfDjnnHPSxhtvnOrWrZu22GKLNGLEiFzn7rPPPktt2rRJnTp1Sg8//PAaqWdFf7ebbrop7bTTTsUCxTfffDNtt912af/998/LwNPStV533XVpk002SQMHDlzunlrDhg1LNWvWTHvvvXepu6z1mlKa9jGLlIV+5rJ1lva+5tLuvffetO6666aGDRumxo0bpzvvvDMX0kyePDnVrl07FRQUpIMOOijtvvvuef/feOmll9Kxxx6bunbtmtvvSemXsxCLwq98HARQlvrERffBK/L444+nQw45JPXu3bvYmMOYMWPShhtumI499tg0bty4NGjQoLTxxhuv0XtmlqVxkWWV5j5RSmV3XKS0r9dlFW1/L7/8crrvvvvSgw8+mJv27rvvpgMOOCBVqVIljR07Nt16663pnHPOSdWrVy82WF4SymIfI6WyMy4ybty4dNppp6Vy5cqlypUrp/Hjx6eUfgnrOnXqlFq0aJFq166dttlmm2J9jDXxeVVWx/CmTZuWWrduna688sp06qmnpoKCgtzBLu+9915q27Zt2mKLLXIH8CxevDgdfvjh6bXXXsvLOEPRep4zZ0664447UkFBQerVq1duTOmWW25JO++8c2rcuHE65phj0n777ZeqV6+eXn/99TVea2kfE1n67/f000+n+vXrp0cffTTXNn/+/LTzzjsXG3s48sgji42brer/ljBxDTjjjDNS586d05577pkaNGiQmjRpki699NLc9IsvvjjtvvvuaaeddkpHHHFE7gOzpDfApTe8iRMnpuOPPz7VqVMnNW3aNI0ePTql9EsKf+CBB6YaNWqkxo0bpxYtWqRWrVqt0Q/1ZZdz/fXX5y7TUb169WI7zpdeemmqXr166tatW2rVqlXaYostch3mfASJy67XpW8kfdppp6UqVaqkY489NrVt2zY1b9489zfP1+UGTj/99LTDDjuk3r17py233DLVq1cvnXTSSbnpw4cPT+utt17aeOONU/v27df4dlBk2Q++ojrOO++8tPfee+cuv7Z48eJ01FFH5Y506tmzZ4n/fy39t7viiitSzZo103nnnZe22Wab1KxZs3TNNdekn3/+Ob399tvp7LPPTrVr106tWrVKu+66a662HXbYIfc/uCYs/fe7+uqr09prr50GDx6cdtppp7Tddtul8847L6X0yxd+3759U9OmTdMWW2yROnXqlDuyaJtttsldVnJNGDVqVKpTp0568skn05dffpnGjh2bunbtmnbffff07rvvppR+uQxBQUFBuvjii9dYXVlK8zq9/vrrU6dOnXJnLjzyyCOpXLlyqXPnzqlRo0apefPm6Zhjjkkp/XJZxm7duqXKlSunZs2apc033zx32bd8GjhwYGrSpEmqVKlS2muvvdLkyZNTSr+cpbHTTjulevXqpR49eqQWLVqkli1bpsLCwnTOOees0UtlnHnmmalu3brpL3/5Szr44INT69atiw2cTZo0Ke233365sHZN+z2fASeddFJq1qxZatGiRdpjjz3WeCdv1qxZqUGDBqlz585p6tSp6V//+ldq2LBhGjlyZHrkkUfS4MGDU8uWLdN+++2XCgsL05w5c9I111yTjj/++DRo0KDc50NJW/q7YNy4cWmdddZJV1xxRTrssMNSq1at0uGHH56bPmzYsLTzzjuntm3bpn333XeNf7fec889qWvXrmnHHXdMzz33XDryyCOL3ffpxhtvTOXLl89dzuuLL75I48ePTxMmTMjtY63JcKLIRRddlBo0aJAL4Xv27JnWX3/9dOaZZ+aOwv/ss89So0aN0sknn7zG6po6dWrq27dv7qjwIjfddFNq06ZNOvDAA3P7KW+//fZy4V1JW/pv9dhjj6WzzjorpfTLwMnWW2+dTv1/7d13VBXX9gfwGUWwIAqigoggoPQivYliR0SCNTZsiF3sINh7RY2KRrH32DARNc8SFTWKgh0bVlSwYEGNFb6/P1hzcoeLiXk/uTOTtz9rvfXi3Itsz507c84+Z/YZNkw06bBt2zY4Ozujbdu2olXC/1Zy7mMWR67jTEBZY03VmLOzs+Hh4YElS5bg6tWr6Nq1K2rXro2EhARW3jQlJQU8z6N///74448/NBpjcZYtW4aaNWuicuXKanvxLl26FGZmZhg4cKBGrzdKGhPv3bsX1tbWiI+PB1A4icTzPMLDwxEaGgpzc3PY29uzxSpr1qxBkyZNYGFhAScnJ42WilNSXqTo75LzmKgopeRFAGW1q6rdu3ejbNmysLe3R5kyZdC9e3dWdu/q1ato3749tLW1Ua9ePcyfP19UGvNbU9IYoyil5EViYmJgZGSE1atXIz4+HiEhIdDV1cWKFSsAFPZLjh8/jjVr1mDnzp3sPqCJMYYSc3iCx48fY9iwYTAyMoKenh6bRBauRdeuXYO3tzeMjIzQt29feHl5wd3dXdLc844dO1CpUiWMGDECDRo0QIUKFdC8eXM2fjt79izGjh2L1q1bY8CAAZJUUpBzTgQQf25btmzBgAEDoKOjg7p167IJxfz8fAQHB8Pe3p49OW1vb/9NPnuaTCxhmzdvRuXKlZGamor379/jyZMn6NGjB9zc3ERlofLy8kSDOk0mZcaMGYOqVati6dKlSEhIgJeXF1xdXUWrRn/55Rds3rwZmzZt0uhFvahx48ZBX18fmzdvxk8//YROnTqhTp06GDFiBHvP3LlzMXjwYERFRbEYpVgdVly7urm5sUEKUJhgbtu2LXr37i1JAkLVL7/8AgMDA5w8eRJA4Tk5efJk2NnZiTrOly9fxvXr19mFR4rzQFC0ZM/u3bthYGCgNoh+8+YNnj9//sWSNSUhIyMDERERopVt/fv3h729PRYsWMDKTDx9+lSUcBw1ahRq1aolSamk48ePY/To0azc4vPnzzFu3Di4uLiISmfdv39f9BRFXFwcatWqpbYnS0n59OkTvv/+e9H3Hig8h319fTFhwgR2LC0tTdJzVO5tevLkSZibm6Nt27Y4fPgwwsLCWCf4xYsXSExMhI2NDfr06cN+5ty5c8jMzMSTJ09KNLYvUe307Nq1C9bW1khOTsbBgwfh5eWF+vXrs32Lbty4genTp6N3794YM2YMGzz36tUL33//Pd69e1fiHb5Vq1bBysqKTc5s2bIF2traMDMzQ//+/dn79uzZg+joaEn39Pyr81V15fKDBw/w4sULjV5TVWVkZMDZ2Rlt2rTB7NmzRfeojx8/YteuXXBwcEBMTIxG4yrOgQMHMGvWLOzatQtA4f1o1apVsLa2ZnuFAYVtrXo+arpNk5OTERQUBGdnZ9jY2ODu3bsoKChg8SxcuBAVKlTAxYsX1X5Win7LtWvX0KBBA9au+/fvR8WKFREUFISaNWsiOjqaDUhzcnI0VpHg8+fPmD17NhwcHDBkyBC1Jw5HjBiBsmXLolmzZhqfmFu1ahVbkS5cCzt06CB62mL27NmoV68ehg4diuvXrwMovB/NmjVLVCLpf4Gc+5gCJYwzAWWMNVW/w+/fv0dUVJSof96vXz9YWFggISGBPYF25MgRyZLHgszMTPbfmzdvhq2tLTp37qx2rY6Pj4ednR0eP36s6RAVMSa+desWevfuDR8fH8ybNw9xcXGYO3cugMJ+5+3bt+Hl5QUHBwf2Mzk5OXj8+LHG9/MSKCkvAsh/TKRKSXkRJbWroKCgAB8/fkRYWBhWrlyJR48e4eDBgzAwMEBYWBjbk/nKlSto164drKysNPZEnZLGGIBy8iJZWVlwdHRkpU2BwvtXVFQUypcvz/bILErT1ysl5fDy8/NZ3+XHH3+Erq4uHBwcRPdWQV5eHgYMGIC2bduie/fu7D4rRd7h/v37MDU1Fe0tePbsWejr66N58+aia5JUeRGl5ESAwnOvZs2amD9/PmJiYuDm5gZbW1vs3LkTANi1Njg4WLTw8f/btjSZWMKmTZsm2mMDKLyQtm7dGsbGxpg3bx47LkXJiVu3bsHa2hrbtm1jxzIzM9G9e3fY2dkhISGh2J+TohMqbHQtbBwKFNZ8nzhxIkxNTUWdJdUvhhRf6L9rV9XVmKqbnko56bFs2TJYWlqK9gV5+vQphg4dCl1dXQwfPpwdF9pXyqT39u3bUbFiRQwbNkxU679r164IDAz8YskwTXy/tm7diho1asDS0lLtKaMBAwbAwcEB8+fPx9OnT9nxkydPYsCAAahevbokGyHv3bsX9vb2MDc3F5UQePr0KcaPHw9XV1f29ILgwoUL6N+/P6pWrarxmDt27IiOHTuqHR80aJBotY1Aiu+W3NtU+P6ePXsWVlZW6NixI+rXry8qz5KXl4cff/wRjo6OOH78OADpyiIVlZycjNGjR4s6zI8ePUKTJk3g7+/PJhlU5ebmYvjw4dDX19fYCre5c+ey+1NSUhL09fUxZ84cjB07FpUrVxY9oSiQ4h7735yvgObvA8Lvy8jIgJ2dHSpUqIAWLVqI3vPp0yeMGDECDRs2/H9tLP7/dfLkSZiZmcHAwEC07+CbN2+wevVqlvQtSlNtWvT37Ny5E0FBQShTpgxb/S0MOG7evAlTU9NiS/FqknD9ef78OXbs2IHXr1/j+PHjMDIyYn2r0NBQmJiYIDIyUlTGuSS+V6ptuG/fPkydOhXv3r3D9OnT4e3tjYEDB+Lly5fsPVu3boWbmxs6duwo2sOopN27dw8WFhZwcXER9fNatmyJqVOnit47b948+Pn5oUaNGggMDESFChU0dr2UCzn3MVXJfZwJKGus+csvv6B169ZwdXWFj4+P2qKpfv36wdraGvPmzRN9r6Vy/fp1ODk5iZLaK1euhKurK3r37s2eThBosgynQAljYtU9JyMjI9GoUSNYWVlh06ZNotdv3rwJMzMzVsZOynGwkvIigPzHREUpJS+itHZV7cM9e/YMI0eOFO05mJqaiipVqogmFK9evcrKw5c0JY0xVCkhL5KVlQVdXV3RNQsoXBzo4OAALS0tds0FpMk3KDGHBwAvX77Es2fPcObMGQwfPhyenp6YPn16se9VbVcpJ5YtLCzw22+/Afizv5eamopy5cohPDxckpKmAqXkRIDCa5WVlRWSk5PZsRMnTqBTp06wtrZmC+wLCgrw/v179p5v8dnTZGIJEU6k5cuXw8nJiZUUEY7//vvv0NPTg5eXl2hGXtNyc3NhZmamVt7g/v37MDMzg4WFhWhfAymTyH/88Qfq1KmD8ePHi44/e/YMPj4+0NHREQ2mpIz1a9p14cKFotekilc4J/fv3w9ra2ucOHFC9Prly5dhaGgIKysrUcdZ04omQS5evIjNmzfDxcUFHh4eaNy4MU6dOoUlS5YgJCSEXfilGugJ+9TMmTNHrfzR4MGDUa1aNdHKrNzcXKxevVq0wliTMjMzERERgUqVKhX7HRMGp6qD/gcPHmDbtm1sn62SpjrJFRcXB3Nzc7VyJ2vWrIG/vz8bgEhJCW0qfD9Onz4Na2tr8DzP9i4QPH78GFWqVPliwk8Kz549g7GxMXiex8CBA0WvPXr0iNWtV92b8NGjRxg7diy8vLxKbD+LL13H7969i0ePHsHR0ZGVirx8+TKqVauGChUqfLHDr0n/zfkqBdU2vnHjBurVqwdTU1Ps2bNH9NqWLVtQq1YtScsy5uTkYOrUqahWrRp69+4teu3NmzdYu3YtDAwMMHHiRIkiLJSSksL+Ozk5GV5eXnB0dBQ9cZOdnQ1TU1P8/PPPUoTIqPZRhGR+v379EBERwQZGgwYNgoODA/r3719ifastW7aw/xYmXL/77ju2J8XHjx8xbdo0+Pj4oH///izWuLg4jBs3TuNJ/c+fP+PQoUPw9PSEu7s7W+HfsmVLNg5RXfV/6NAhzJ49GzExMSW+P5EcKK2PqZRxJqCcsebp06dRpkwZ9O/fH4GBgdDX18eIESPUnuTr2rUr6tWrJ8nEXFEPHz7EkCFD4OHhIXr6JDExEa6uroiMjBT1k6VoW6WMiYXfefv2bURGRqJs2bLo16+f6PUPHz4gMDAQUVFRGo+vKCXlRQBljIkA5eRFBEppV1U7duyAs7MznJ2dUbFiRbVFaqmpqTAyMkLjxo01vr+fksYYSsuLvH//Hu3bt0ePHj1YuWhBeHg4/P39YWJigv3790sUYSGl5fC2bNkCY2NjXL58GUDhRN3gwYPh6emJWbNmsfdNmDBBFKOU94SnT59CX1+f3fsLCgqQn5+P9+/fw93dne1HLYyvNE0pORGgcFFZxYoVRXvOAoWl2o2NjWFpackmFAXf6rOnycRv5EuDyYsXL0JXVxfDhg0T3QxPnDiBsLAwdO/eHQ0aNBBtlK7JGJ88ecISHW/fvhWVtPr+++/h7++PJk2asMd7NaW4WN+8eYNu3bqhXbt2auUYhg4diubNm8Pb25vV3NYUJbUroB6v8OfMzEzY2tqia9euos5lRkYG2rVrh3HjxsHd3V2SFTeqMb98+RL5+fns5pKdnY0jR44gKCgI3t7e8PLyAs/zGDZsmMZjKyosLAz29vbYtGmT2sq1efPmsVU4ml4t/qWY7927h759+8LNzU1tYP/kyRMkJiaqrWzTVMwpKSmoVq0aNmzYwI4J+6qkpKQgJycHeXl5CAwMRNu2bTUS09eQc5sWde7cOdStWxeNGzcWTS7k5+fDx8dHkj0ABMW1yY0bN+Dm5gZ3d3fRU19A4cShi4uL2kTjnTt3Sqw8a9GV30IZQcF//vMfWFpasr3I0tPT0b59e2zZskWyp/uK+m/OV01R3awd+HNF3dWrV2Fvb4/mzZuzjvSnT58waNAguLq6qu1bV1K+1KZPnjzBjBkzYG1tjZEjR4pee/36NZKTkzXepqqxnjt3DjzPq5UbbNSoEczNzbFx40Zs2LABwcHBcHR0lOzzV4118eLFouMdO3ZEp06dWD+7Q4cOosTPt76mZmVlQUdHB82aNRMdb968OVssABSeh7NmzYK3tzeqVauGoKAglCtXTuNlEYV/f35+Pg4fPgw3Nze4urri48eP6Ny5M0vyq7aT8OSd1AloTZBzH7O4GFXJaZz5pTjlPCYSXL16FdOnTxd9f2NjY+Hu7o6xY8eKnkIAoLH2BCBqr+K+j48ePcLo0aNRr1490YTiqlWrULt2bQwZMkStP1JSlPj5F9emd+/eRd++fWFtbS06J4DCBRj9+/cXlZcraUrKiwDKGmcqMS9SlBzb9UvOnTsHU1NTjBo1CnPnzkXVqlXRqFEj0dOJQOHTXhYWFmqTTiVF7mOMopSSF7l7965oAuvHH3+EtbU1Jk+ezD7bvLw8tGnTBitXrkSrVq3Qr18/fPz4UePffVVyzeEV5/Dhw2jevDkcHR1ZNYIHDx5gyJAhcHd3R6dOndCyZUtUr15dkjGc0DbCU97CnydPngxjY2Ns375d9P6hQ4di7969bKuFkqaknEhxsT58+BD169fHpEmT1K5HQUFB8PHxgbe3N06fPv3N46HJxG9A9eKxbNkyDB8+HOPHj2erRLdv347SpUujb9++2LdvHzIyMhAUFITRo0fj+vXr4HlebSb5W1M98W7cuIGHDx+yL/T27dvB8zwmTZrEVk6/f/8eHTp0wKpVq+Ds7IzBgweXaHxfivXChQu4cuUK+2IcOnQI+vr66N+/PzIyMgAUrsxr27YtEhISEBoaivbt20tSIkzu7VrU/Pnz0atXL3Tv3p1drI8fPw4DAwO0a9cOy5cvx++//46mTZuiZ8+euH//PrS1tZGYmKjROFXbeObMmWjevDlcXV3Ro0cPtdVXBw8exMKFC1GrVi3UqVMHaWlpGottx44dmDZtGn788UccOnSIHQ8JCYGjo2OxnRFA82WcVGPeunUrZs+ejWnTprESZllZWYiMjISXl5fajVOg6ZjXr1+P/v37o0KFCjA1NcWaNWsAFO755OfnB3Nzc5iYmMDV1RVOTk4a3/xYlRLaVGiXCxcuYPfu3bhy5QpbsXjq1ClYWVmhQYMGWLp0KY4dO4aYmBiUL19eshWsqufsq1ev8OnTJ7ZS8MqVK7Czs0PLli1FpeiAwpVjmig9VPQpx2nTpiEkJAROTk5YuHAhzp49CwA4c+YMatWqhenTp+Pu3bsICgpC9+7dRfs0aYISrwGCn3/+GYGBgWjUqBEWL17MBqKXL1+Gg4MDjIyMEBgYiO7du6N27dolfg8QqLbp/v37sXLlSmzbtg05OTkAChPP06dPh52dXbFlbQHNtanqdXHJkiUYPHgwypUrh1KlSolKIu7Zswfe3t4oV64cWrZsidmzZ0u6t3PRWOfPn89eGzNmDGxtbREcHAwPDw/Y2Nh8k43l/8rRo0dRq1YttGzZkh1r0qQJe8JKuN9//vwZJ06cQGxsLEaPHi3Z/mpCOwhPKLq4uMDZ2Rl169aFg4MD/Pz8UK9ePfj7+8PHxwctWrTA+/fv//WTiXLuYwqUMM4ElDsmun37Nho2bIjq1auLroFA4bXF1dUVEyZMkGSvQQCsvyMkt0+dOoXly5eL3vPw4UNER0fD3t5eVOlg3bp1uH37tkbiVOLnL3y3UlJSMH/+fKxdu5ZNFN+6dQuRkZGwtLREz549sXjxYowaNQra2toaLfuspLxI0XiV1MdUSl4EUFa7qrpy5QrmzJkjKsF769YtVKlSBc2bN1ebUNR0CVG5jjGKUkpeZMyYMTA3N4eRkRFatWrF7qEzZ86Evb09fH190aNHD3h4eMDV1RUA0Lt3bzRs2LDEY1NiDg/48md4/PhxBAcHw9bWlu2X/OjRI8yePRuhoaHo2LGjJHskCvEmJyejTZs2aNWqFbZs2YIXL17gyZMniIyMRLVq1TBz5kzs3LkTw4YNg6GhodoCrpKipPuVaqw5OTmixfFjx45F1apVsWbNGtY/ePnyJdq1a4fFixfDw8NDtI/6t0KTif9Pqh9qdHQ0qlatiiZNmsDJyQk1a9ZkpYGSk5NhbW0NExMTmJqaws3NDX/88QeeP38Oe3t7tRIKJSUuLg6mpqawtrZGkyZN2F4yiYmJ0NLSQsuWLdGpUyf4+vrC3t4eADBkyBAEBARovKZyTEwMqlatygbtwpc6OTkZNWrUgJ+fHxo1agR3d3fY2toCKEziOjs7qz2SXtKU0K6q5+q4ceNgaGiITp06wd3dHeXKlWMlJk6dOoWWLVuiVq1asLCwgI+PD969e4f8/Hx4eHhoJCFRnLi4OFSpUgWLFi3C8OHDERQUBD09vWJXWZw/fx5WVlZqJXVKyqhRo1C9enXUr18fTk5OMDAwEK1kDQ0NhYuLCxITEzW2OvjvjBgxAkZGRvDx8YGLiwu0tLRYckJYiePr66u2l5KmRUdHw9jYGAkJCZgxYwbq16+POnXqiAZvSUlJSExMxLp169gNXYoa8EKbent7w9nZGVpaWmxFsLDK2c/PD9OmTdN4bEXt2LED+vr6MDIyQt26dTFq1CiWQElNTWUlTwMDA9GpUyfWMdW04hK9bm5u6N69O1sNfOnSJdjZ2SE4OFj0RKWgJDt5S5YsAc/zrCTL1KlTUaVKFcTFxSEyMhJ169ZFSEgIDh8+zPbYMDExgYmJCdzd3SWd+FbKNUBw9uxZVKpUCWPHjkVISAi8vb0RHh7OEqVXr16Fh4cHypYti6VLl2psPzrVzy46OhoWFhawt7dHgwYN4OXlxZ5Ezc7OxsyZM+Ho6Ig+ffpoJLa/EhcXh6pVq2LTpk1ITExE165doaury/aCAgonFH19fUWl3qS4tsbFxaFatWrYuHEjVqxYgS5dukBXV1dUvmf8+PHo168f+vXrx2Is6QFeSkoKjI2N0bRpUwBA06ZNRaWVBcITY1KUxFQ9P4X2+Pz5M44cOYJGjRqB53nMnDkTmzdvxrx587BgwQLMmTNHsklPqci1j6m0cSagjDFR0XvuzJkzUadOHfj7+yM3N1f02rhx41C7dm1MmzZN49/hdevWwcjIiCVhX758ifDwcDg5OalNYjx+/BhNmjSBkZERxowZo9E4VSnh81f1888/Q1dXF46Ojqhbty7c3NzY4rnbt2+jX79+qFSpEqysrDBjxgzJro1KyosA8u9jKjUvoqSxpqCgoABv3ryBjY0NeJ5X29tPmFAMDg6W7Psl1zFGUUrJi2zatAlmZmbYvHkztmzZAmtrazg7O7OnFJOTkzFu3Di0atUKUVFRbC+3zp07o3///hqLV4k5PADYuHGj2jmYkpKC4OBg2NnZscUlQsxCn0eKe2xKSgq0tbURFRUFPz8/ODs7Y9iwYXjx4gVyc3Mxc+ZMVK9eHba2trCzs5PkaW+5369UjRs3DtbW1rC1tUWPHj3Y8UGDBsHY2BgdOnTAqFGj4OfnBy8vLwBAcHAwWrdu/c1jocnEb+Tx48cYPHgwO/kvX76Mli1bonLlyuymmJWVhYyMDJw5c4Z9oYXEU0nV21btKO3duxdGRkbYvXs3Fi1ahMDAQNSoUYN18g8ePIioqCi0adMGgwYNYhef7777DpGRkSU+gFId2B0+fBi1atXCf/7zH/zyyy8IDQ1F5cqVcfz4cQBAWloafvjhB/Ts2RPjx49nCdkuXbqgc+fOJV5fWUntWtSTJ08wevRotqnwy5cv0bt3b5QvX56VmHn16hWys7NFj5fHxMTA1NRUks7TvXv34OTkhKSkJNGxbt26oXr16qLyLkJ7jho1Cg0aNCiRVW2qn9nPP/+MqlWrskRNVlYWZs+eDS0tLdEKloCAAHTr1u2bx/Lf2L17N9t0/cOHD8jPz8eECRNQpkwZtg/U7du30aFDB/Tp00eyJxNu3rwJGxsb7Nq1ix07d+4cIiIiYGFhgfXr1xf7c1KsFEtKSlJr03HjxqFMmTL46aefABQOljp06IDIyEhJ90h9/fo1goODsXbtWjx+/BgTJ06Er68vevXqxSYUz58/j6pVq6Jv376SlXBRVVyit2LFijh58iSAwnuuk5MTvLy81J4mKWm9e/eGnp4efv31VwwePFi018OBAwcQHByMNm3a4OXLl8jNzUVGRgYOHjwo6cS3Uq4Bqr93//79os3OExISUL9+fXTp0oUN9i9fvgwvLy+NlqATxMfHo0aNGuzeOnv2bPA8DysrKzZ4zs7ORmxsLLp06SLpE185OTlwd3dnq5mBwnvXhAkTUK5cOdFTf0ePHmX3PClizsnJgZubm1qs48ePV4tVVUl9r4q2QUpKCoyMjNCkSRO4u7vD3NwcLVq0gJeXFxo0aICmTZuiTZs2+PTpk8bbT/h9Qj80LCwMixcvZhPcR44cga+vL/z8/DQal9zIrY9ZHLmOMwHljol+++03rFy5kv154cKF8PDwQEREhFo59ClTpmjsCT9VR48ehY+PDxwdHdmE4oULF9C7d2/4+PioPaE4ceJEWFlZoXnz5iVW0r0opX7+gqioKKxevRr5+fk4dOgQWrRoATMzMzahePfuXXTu3BlhYWEae1oCUFZepCil9DEBZeVFlDLWVKUaw7Vr1+Dh4QEHBwfRE2BA4fnA8zzatWunsfNVSWMMQDl5kaSkJCQkJIjuT8LCJicnJ9ETqMI1/8mTJ4iNjYW+vn6JPvmt9BweUPg9cnFxQUBAgFrf7tdff2VPpRZdCC7F9eDevXsYN26caO/uGTNmwNPTE0OGDGH9lNzcXOTm5kqyF7Xc71eq5+zq1athZGSEFStWYNasWahevToaNWrExrw//vgjevfuDX9/f/Ts2ZONUVq3bo3Y2NhvHjtNJn4D69evh66uLjw9PUUdips3b6Jly5bQ19dnK0cF58+fR4cOHVC1alW1EmklYfXq1Vi6dKlok9DLly8jICAAxsbG7EIkrAoBChM4Y8aMQZUqVTRazmPp0qVYtmwZ5s6dy469fPkSHTt2RKVKlVjyWNWNGzcQHR0NfX19VitaE5TUrkDhBr08z8Pe3h4XLlxgx9++fYuIiAhUqFAB//nPf0Q/c+bMGYSGhsLY2FiyfQEyMjKgo6Mj6ngWFBSwVWLCijzVC2THjh3RunXrb7qKSHU1inBh/+GHH+Dt7S16X15eHsaNGwcnJ6dik1CatGDBAty5c0d0bMWKFfD29sbHjx9FHczhw4ejevXqrJOck5MjaRI5KysL+vr6WLdunej4uXPnYG5uDmNjY1HHWYr2Fci9TYXf9fr1a1ZaSjUxFh8frzaheObMGclKm6r6q0RvtWrV2OD+4sWL6Nq1qyTnQY8ePaCjowNDQ0O1fX/2798PfX19HDx4UO3npCo5JPfzVfX3nTx5EuvWrUNsbCzGjh0rek9CQgL8/f0RHh7OJuykWDn66NEjtGvXjg06kpOToaurizFjxsDHxwfW1tasJGFubq7ke2w8ffoUhoaGon4WANy/fx/e3t7geR7x8fGi16S6vn5NrKoTiiXZpqolovft24ekpCQ8ffoUx44dY3vpLVy4EEuXLsWUKVMwc+ZMzJo1S+N9PdVYd+7cCR0dHbRv3x7t27dH5cqVERYWhqNHjwIonFD08PBA7dq1WUnC/zVy6WN+iRLGmYCyxkR//PEHBg8ejIoVK4oWKsyZMwe+vr7o3bu3xibj/s7JkydRv3592NjYsHvz5cuX0aNHD/j6+ooStqNHj8acOXPUnq7UBKV8/sL3+OHDh8jJyUHbtm3x22+/sdfPnj2L5s2biyYUb926xSZENU3ueREljzOVlhdRSruq/l7hHin8/5UrV2Bvb4/g4GC17Snu3Lmjdi8r6fiUMMYQKCEv8vTpU5QvX56VtQb+bOsXL17AwcEBbm5uou9bbm4uevbsCVtb2xLrrygxhyco7ju8detWNGrUCIGBgaJ9RT99+oSAgABUr14dnTp10mSYajIyMuDr6wsLCwtRPwv4c0IxKiqKjY+lopTr6r59+7Bu3Tps3LiRHUtPT0etWrUQGBgoujYJ/46XL19i7NixqFKlSok89U2Tid/A4cOH0aJFC+jq6rIvg3CCZWZmIiQkBDzPsy96QUEB7t27h9jYWI10nO/evQtbW1vwPK+2F8SVK1fQoEED1KxZEw8ePGDHHz9+zFazamoQChTeZNzc3MDzPIYNGwZAvCFyx44dYWhoyJIgQOGgJC4uDra2thp9IkVJ7Sq4c+cOOnfujDJlyrAOnHBR/OOPPxAZGQme53HmzBn2Mx8+fMDMmTM1VnZC9eKsumGvv78/Ro8ezcqFCdzc3DB69GjRzzx//hzGxsZITU39ZnFlZGSA53kEBweLjm/evBnVq1dX2yT4wIEDqFSpkqizBGi2MyLsldO1a1dRRyMhIQG6urqsLYWbT1paGkxMTESfv6ZjVvXkyRM0bdoUI0aMwLNnz0SvtW/fHgEBAfDw8MCBAwckiU+VEto0KSkJrq6u8PPzg42NjdoK6/j4eAQEBKB9+/Zsrzc5+LtE7/Lly9U6dSXdvsX9/SNGjGATG/n5+aKYHB0dMX78+BKN6UuKi1UJ5ytQWI63fPnyqF27NipUqIDatWurJfSWL18OBwcH9OnTB58+fdJIrMX9jgMHDuDOnTusY5+QkAAAmDVrFnieh66urug6rKmBSHGxfvz4ET179kT79u3V9qgZMGAAmjRpAlNTU2zatEkjMf4VucW6bds2VKlSBS4uLuB5Hv7+/oiPj8fRo0dhZ2eHsLAwjcRRnOTkZFGf48GDB3B0dMQPP/zAjqWmpsLPzw9t2rRBdnY2Pn/+jP3796Nhw4aSPHmlaXLtY/4VuY8zAeWMiVQ//+vXr2P48OEwMTHBqlWr2PE5c+YgICAAHTp0UOt7apJqrCdOnGATikL/7PLly4iIiIC9vT2aNm2K8PBw6OnpiRKgmqKUz1+wc+dOGBsbw8PDA/r6+khOTha9fvbsWQQHB6NixYqStKdA7nkRpY8zlZAXUaWUdhXO0f3796N79+4ICgrCqFGj2JNSwvYULVu2LHZ7Ck2R6xjjS5SSF7ly5QpsbW3h6+vLJmJUJxSrVq0qKs8IFC4SVr0/fEtKzOEV9zvfvn2L58+fsz///PPPCAgIQKNGjdjip5cvX6Jbt27Ys2ePpOeqYNCgQTAwMEC3bt3w+vVr0Wtz5syBtbU1Ro0aJcm+gwIlXFczMzPB8zx4nlerSHHu3DmYmZmhWbNmojbOyclB586dYW5uXmJ9LJpM/IeKO3ny8/Px+++/w93dHXXq1GFfZuGiee3aNYwcOVKt5FJJnYhFE1SfPn3Cr7/+ylbHFx0oZ2RkwM7ODqGhoaLjDx8+LNGyOF9y7do1hIaGokaNGmylm2rHuWnTpmjRooXoZ969e1fiyW+lteuXzq+7d++iVatWqFq1KusIqyZUZs6cKUnZPUBcluzt27ei8opxcXFwdnZGYmIiK3/x9u1b+Pj4iJ6gEP4tqitfv5WUlBTUrFkTQUFB7NjZs2dRr149xMTEsNJhQOEAy97eXmPJpqKEdjh16hTKlSuHLl26sO/Tw4cP4e7ujq5du4o6JRkZGbCyspIsZqDwaRPV78f8+fNRqVIlLFiwgF1b8/Ly0K5dOyQkJMDPz0+0kbsm7d69myUZ5Nqmwnlw6dIllC1bFnFxcejWrRtMTU3RqFEjtcHItGnT0Lx5c8lWYP9/E72alpSUJEo09enTB+XLl8euXbvYderFixeoW7cuFi1aJFWYAJRxvgJ/fu55eXkYPnw4Vq1ahTdv3mDjxo3w9fVF48aNRUkrAFi1apXo+qspu3fvZquVBQsWLEDr1q3ZHkUbN25Ep06dMH78eI0/iaraD7h+/bpoYmHr1q1sECesBM/Ly0NYWBiWL1+ODh06oEuXLnj//r3GV2DKNdb09HQYGhoiMTERz58/R3Z2NsLDwxEYGIgffvgBx44dg6mpKdujAtDcpHFOTg5q166Nnj17sr1SHj9+DAsLC+zcuRPAn+dDamoqdHV1sXr1anb8f+GpRLn3MQFljDNVf7dAzmMi1cU9Rfs8N2/eRFRUFExMTNj3AQAmT54saV+oqPz8fJw4cYItBhPGvLdu3cKqVasQFBSk0f2tlfT5C4SYb9y4gZo1ayI+Ph6LFi1C06ZNYWhoqDY5dOrUKbRt21byCh1yz4soZZypxLwIoJy+e1FJSUnQ0dFBVFQUOnbsiMaNG6Ny5crsSdpLly7B2dkZfn5+xT5dW1KUNMYAlJMX+fTpk+h7cunSJRgbG6NFixZs8bJqlSTV8ZAm+slKyuEVZ9KkSfDx8YGFhQX69u2LtLQ0AIWLCAMCAmBmZoYJEybA19cXAQEB7HqnyYmvL32Ow4cPh5OTE6ZNm6a2dU5xT7ZrgtKuq58+fUJycjLMzMyKXbR6/vx5aGtrY+jQoaLjV65cKdFrF00m/gOqX8ajR48iOTkZBw4cYBfDM2fOwNfXF3Z2dmxfg+I625qKEQBLZuXn5+PYsWNwcnKCu7u7Wif/zp07kia5gD8fx83Pz0dmZibq168PMzMz0UpboLBjp/qzmrgBKaldhbgEZ86cwZkzZ9hNBygskxAUFISqVauyxFzRf6MmO85FV4QWvWEKg+M+ffrAwcEBLVq0QGxsLOrXrw97e/tiYy2p80LYH0l14DZnzhzY2NggMjISe/bsQXp6Opo1awYfHx/JVgWptsmxY8egpaWFQYMGsVXtP/74I/z9/REcHIy0tDQcP34cwcHB8PPzkyzmuLg4mJubw8rKCiEhIewznDRpEqpVq4aQkBBERkbCx8cHrq6uAICuXbuicePGGk923717FzzPo1+/fqzsmBzbFCgc6O/cuRPTp08HUPjd2LRpE/z9/dGyZUtRxwmAJOWxgG+T6C1pqp+j6jmg2hHu2bMndHR00KtXL0ybNg2tWrWCo6OjxpMRX4pV7ucrAJw+fRrm5uZo2LChaGXojh070LBhQzRq1KjEVrD+lS+1qWpHPS4uDtWqVcPz58/x8eNHfPfdd6LSSVL0CWJiYlCjRg1Ur14d3t7eLDm6YsUKVnIoNDQUbm5ucHZ2BgCMHDkSnp6eGo9XzrFu3LgRdnZ2ePXqFbvnZGdno3PnzmjYsCHevn2Lw4cPw8bGRpL9pdPS0tieb5cuXcKrV69gbGzMyg4Ke4EAQLNmzRAZGanxGKWglD6mEsaZReME5DsmEspOCy5cuABbW1v88ssvouM3btxAREQEqlatim3btrHjUvWFVJ86vXjxIs6ePcteE84B1QlF4fMoqQnuopTy+RfnyJEjWLt2LUaOHMmO3b9/H8HBwaLJJIGm2hRQVl4EUNY4U2l5EYHS+u6CFy9ewNfXV1Ra8vbt2wgPD4eBgQEuX74MoHDCycfHR+P9JbmOMYpSSl5k7ty5+P777+Hq6oo5c+awyZdLly7ByMgIQUFBbCGPalyavh8oJYcHiK8/s2fPhoGBAWbMmIF58+bBysoKgYGBrC+TlpaGPn36oH79+qI9cqWYSDx9+jQWLFiAhIQE7N+/n70eFRUFNzc3TJ06VW1CUROUlBP50u979+4d9uzZg0qVKiE8PFzt9Rs3bmj8O0WTif+FkSNHwtjYGHXq1EGpUqXQunVrVn4tNTUV/v7+cHR01PjmvKonXnx8PNq3b8++tMLj2ykpKahXrx48PDyKXYUsxSPGP/74IyIjI/H9999j9+7d7Pjt27dRv359mJubsxu66g1IU19sJbUrIG6jsWPHwtLSEnXq1IGenh7mzZvHYnnw4AFatmwJY2Njje4zWVRSUhJ4nmdP7cyePRtVqlQR3TAbNGjASjasWLEC3bp1Q4sWLdCvXz92wyypNi7uPBNWNzVu3JgdW7RoEVq0aIFSpUrByckJ/v7+ktzMAfVzYPz48TAyMmKlaJ49e4b8/Hxs2LABDRs2ROnSpWFvb4+AgADJYt68eTOMjY2xceNGJCQkoE6dOqhXrx5L5mzZsgXDhg1Ds2bN0L9/fzbAb9OmDYYOHarReMePH4/JkyfDxMQEWlpasm1ToHDDc09PT/A8jyFDhrDjnz59YqswW7duLWkpr5JI9JYE1e9V0XMgPDxcVPN/0KBB4HkerVq1QmJiIotRDrHK+XwVpKSkoGHDhihbtqxamb4dO3agSZMmcHV11Wj1hK/9/NPT0+Ht7Y0qVarA0dERtra27HOXorTpzp07Ubt2bSQlJWHv3r3w8fGBubk5S6QdO3YM8+fPR4cOHTBmzBh2bQ0PD0ePHj00uj+M3GPdvHkzLC0tWf9e+Fzv3LkDnudx+PBhAH8m16WQnp4OV1dX9O7dGw8fPkR8fDy0tbXV9iZq3LgxJkyYIE2QGiT3PmZx5DrOBJQzJsrKyoKOjg6aNWvGjp08eRJhYWFwcXFR29v4yJEjKFeuHEqVKqW2H5UmCfeI7du3w9TUFFZWVihVqhTatWvHSlkKpYop1/DPhYWFged5tvhDkJWVhZYtW6JGjRpsokOTlJQXKfp75T7OVFpeRKDEvrsgOzubjekFwqR4QEAApk6dyvpPQtyaJMcxRlFKyYvExMTAwMAAEydORLdu3eDp6Ql/f3/WZ7l8+TJMTU3h4eGBly9faiQmgRJzeEWlpaVh3rx52LVrFzt29+5dNG/eHIGBgaJzNC8vj/23FIsftm/fDj09Pfj5+cHBwQFaWloYNWoUe33QoEHw9vZGbGysKNaSpqSciOrv2bp1K+bOnYuJEyey705+fj727NkDPT09dO/evdi/Q5N9LJpM/IcSExNRrVo1nD59Gs+ePcP58+fh4+ODoKAgnD59GkDhvgY2Njbo0qWLJDHGxMSgSpUqGDVqFIYNG4bq1avju+++Y4mEI0eOwNPTE2ZmZnj37p3G41P9QkdHR8PExAS9evXCkCFDwPM8EhIS2Htu377NbvbCo/xSkXu7FjVlyhRUr14dR48exdu3b1n7jh07VtRx9vT0VKshrkl//PEH5syZg9KlS2Px4sWYM2dOsTfMBg0asJXYgLjzWVI3TNUL+q5du7Bs2TIkJibi5s2bOHbsGKysrNCoUSP2nlevXiEjIwPXrl1jPytlaZTZs2dDX18fv/32G44ePYr169dDW1sbnTp1Eu2Xl5aWhtu3b0sW844dO7B+/XrRnjU3btyAg4MDXFxcil0d/uTJE8TFxcHAwICVdNOEWbNmQV9fH0ePHsXx48exadOmYts0PT1d0jYVfP78Gfv27UNAQAAsLCxEyZP8/Hxs3rwZdnZ26NChg2T7OCot0fulc6BLly6i/aw6d+6M5s2bs5+TIoGmtPNVIJR08/DwgKWlpdr9f9OmTQgJCZGk7NBfff5CSbz09HTMmzcPc+fOZW0pxee/efNmLFmyRLRn3sePH9kTDqor8wVZWVkYM2YMKleurNGkqhJizczMhI6OjuhJU6Cwn+Lg4IDff/+9xGP4Gunp6XBxcUFERAQOHTqEIUOGQEtLC3PnzsWqVaswcuRI6OnpsScw/s3k3McsjhLGmYAyxkRHjx5FrVq1RGXNfv/9d3Tp0gX29vbYu3cvO37r1i2EhYVh4sSJkpe1PHHiBCpWrIjly5fjypUrOHnyJNzd3REUFITjx48DKJwYdXR0hLe3tyR9NyV8/oD46T2g8Lvcp08fVKhQQbQPN1B4P/H390edOnU0OsGh1LwIoJxxJqCcvAig3L67ID8/H82aNUO/fv3UFle1aNECnTp1kiiyQnIeYwDKyYtcvHgR1tbWbCEdULjH8/fff48mTZqwbSDOnz+P0NBQjd6rlJ7DAwr7KzzPo3Tp0li/fj2AP8eSWVlZqFSpkmjMJNB0tS6g8Pw0MjJCQkICgMLKDhs2bEC5cuUQHR3N3te7d28EBgZKsohdSdfV6OhotiWRt7c3atasyfZuLCgowJ49e2BgYICQkBCNx6aKJhP/oSFDhqBt27YA/rxIXblyBTY2NoiIiGDHL126pJHEUUJCgmhz7fPnz8PCwgK//fYbO5aamgpfX1+0a9cOr169wqdPn7B371706tVLo8mtorGuXbsWZmZm7FH4X3/9FTzPo1SpUpg6dapob4P+/ftLGquc27U4V69eRXBwMPbs2QOgMGFfuXJldO/eHaVLl8a4cePYCv4nT55Ivurm3bt3mDVrFkqXLo0yZcpgw4YNAORzwxwxYgQMDQ3h7++PChUqwNfXF/PmzcOxY8dgaWkpWvmsSup2DQsLw+DBg0XHDh8+DG1tbfTq1Uu015tA0zFnZWWhQoUK4Hke8+fPF7128+ZNODo6wsPDQ7T3R25uLnr27AkLC4sS21C4OAUFBWjdujWioqJEx4U27dmzp+RtWlz5kM+fP+PYsWOsRKBq6anPnz9j27ZtktSrB5SX6P27c6BXr164ffs2Oy58BlJ07JVwvgLqJd1UNzo/c+YMfHx8RGX9BJpc1Sj4uzbt0aOH2l4rgDQTiXl5eTA2NgbP82xfUaGtP378iICAAFhZWeHEiROifUwGDBgABwcHjV5blRTrhg0boK2tjZiYGNy8eROPHz9GXFwcTE1NJV3FXlR6ejrc3NzQt29fHDlyBIsXL4alpSUcHBzg5+en0TaTmtz7mKrkNs4ElD0mSklJgbGxsWhhz8mTJ9GlSxfY2Nhgx44dePHiBcaOHYs2bdpo/MmJ4syePRv169cH8Of5d+XKFbi4uLAkfH5+Pk6fPq2RZLeSP38AOHToELp168YS7Pn5+Wjbti0MDQ2RkpIieu/Dhw81VnJRSXmRL1HCOBNQVl5EKX134XcK5+Xnz59F47GpU6fCyckJq1atEpUL7tSpE6KiovD582eN3F+VNMYAlJUXSU9PR+XKldUqX+zbtw9mZmY4cuSI2s9o+jxVUg6vuFLX8+fPR4UKFTB8+HD2HuF9zZs3Z8eldvLkSVhbW6uVB167di3KlSsnOhdKej/f4ijpurp48WIYGxuzRbQ7d+4Ez/OoWbMm67MUFBRg+/btaNq0qaT3K5pM/AtFP5iCggL07NmT1VnOz89nCc1NmzahUqVKakmkkuzo3b59GzVr1kRkZCR7RF/Y7PbUqVOi33/69Gloa2sjKSmJ/Vs0EWNxsQqrxxcuXMhWL/zyyy/Q09PDihUrMH/+fJQqVQqLFi364v4BmopV7u0qKNpOT548wbJly/DmzRscO3YMJiYmWLx4MYDC/bx4nkdUVJTo56SuB52fn4+FCxdCW1tbVjfMbdu2wdjYGGfPnkVBQQFevHiBiIgINGzYEMuWLWPlEjw9PTUem6qiHfL3798jICAAffr0ASC+Xo0cORI8z6Ndu3aS3NCLEvZY8ff3V5t8yczMRLVq1dCrVy/Rz9y7d0/jeyy8e/cOPj4+bJ8p1TaNiYlh9deL7kGoKUKbHTx4EFFRUQgLC8PixYtZskkoPeXu7l5s6SmpyDnRW/Tv/5pzoG/fvqJVo1KUcvraWKU8X4F/VtLNyclJ4yXd/tvPX1hxKdUqXMH9+/fh7e0NOzs7Nskt/Js+ffoEGxsbtG/fXvQzz549Y09YapJSYi0oKMDmzZtRsWJF1KpVC3Xr1kXNmjWLfXJSamlpaXBzc0NERASys7Px4cMHvHnzRpL9SjRNCX1MuY8zAWWOiYpet1NSUmBiYoKmTZuyY6dPn0a/fv3A8zxsbW2hr68vmtiR0oQJE+Dm5gag8N8iTHIcPHgQZcqUUSvLV5KU+PkXdfDgQWhpaaFXr16sFGt+fj7atGkDQ0ND9rSnJikpLyJQ0jhTiXkRgRL67sKEnNBGe/bsQWhoKAICAhAdHY0bN24AACIiIuDo6Ihu3bph0aJF6Nu3LypWrKixa5jcxxhfIve8yI4dO3D37l3cunUL1tbW7Kk51WtE3bp1MWXKFI3E8yVKyeEB4uvNvn37sHXrVly/fp1NKJYqVQqzZ89m7/nw4QPs7Owwfvx4KcJVc+bMGZQqVYotMhLOhaysLFhYWGDz5s0ajUdJORHVWO/du4e4uDj2ndq9ezcqVqyIRYsWoVWrVjA1NcXJkyfV/g6p7lc0mfgFqp2zzMxMPHz4EPn5+Th69Ch4nsf27dtF7//pp5/g6uqq8RWN6enpcHd3R0REBDIyMvDw4UPo6emxZOzHjx/ZyeXq6iq6CGmaaqy3bt3C8+fPcfv2bdy7dw8ODg6Ij49n7ytbtix4nsfq1aslj1Xu7ap6rt68eRMPHjwQrQAbNGgQunbtysrMREdHo1GjRggICJDkaRlAfMHbu3evrG+Ys2bNgpeXl+gzz8nJQZs2bdhK50OHDqF169aSXchVf29mZiZbXbd69Wro6uri4MGDAP68Wc2ePRshISFo2LChZDEnJSVh6dKlSExMxPXr11nJCdUVYkK8Dx48EJ3nmj5vVdt05cqVqFixolqbxsfHo127dtDS0sKkSZM0Gp9qHDt37oSOjg7at2+P9u3bo3LlyggLC2ODpiNHjsDLywtWVlaSTigqLdEr93NASbEWJdeSbkpqU9VYDxw4gF27drG9lrKysuDg4AAPDw+WaFBdSS7ltVVJsRZ19+5d7N+/H8nJycU+jSoX6enp8PDwQMeOHTU6CSElJfQxlTLOBJQ1JhKuCxcuXMC+ffuQlJSEp0+fsqcQmjRpwt779u1bnDhxArt27RLteazJWIXz4NmzZ3j9+jWAwuQ2z/PYunUrex/w58p/TZfeU9rnX1wf4bfffoOBgQG6d+8umlDs0KEDeJ6XpES1kvIiShpnKjEvAsi/nykQSi8uWLAAQOETtMKTqEOHDkXNmjXRoEED/Oc//wEAzJ07F61bt4adnR2CgoI0vmhDrmOMopSSFxkzZgxMTEzY9iTdu3dHtWrVRJVDnj9/DhcXF6xZs0ZjcRVHCTm8omJiYlChQgVYWVlBS0sLS5YsQXZ2NubPn4/SpUsjODgYAwcOROvWrWFrayvJnqPC55yRkYFjx46xkqChoaFo166d6OnY9+/fw9XVFWvXrtVYfEoav6uaMGECli9fjuPHj+P+/fu4fPkyrKys2HdNeEKxTJkyuHDhgmRxqqLJxCISEhKQnp7O/jx69GjY2NigSpUqCAgIwKJFizB37lyULVsWa9aswaNHj/D48WMEBQUhKChIkk5Ieno66tWrh969e+P+/fuYPn06ypYty5LHAPDmzRvY29sjMTFR4/GpUo1V6MyfOHEC9vb27M9Xr15FVFQUdu/eLWmtarm365fOVUNDQzRo0ICtuAsMDGT7qnz8+BGhoaFITk5mPydlx/mf3jA1Xc4QAObNmwdnZ2dWGlKI4cyZM+B5HhcvXhT9nJSdkTFjxsDe3h4GBgYYNWoUtm/fjsGDB8PGxga//vorgMKyHcHBwdixYwf7ObmVnBBW5Rclxcrmom26bds2DB48GNbW1myg9Pr1a7Rq1QpJSUlYtGgRDAwMcO/evRL/biUnJ4s6Ew8ePICjo6PoCT5hxWWbNm2QnZ2Nz58/Y//+/WjYsKGoHKcmKSHRq0rO54CSYxXIraRbUXJvU9XfERMTAxMTE9SrVw9ly5ZF9+7dkZWVhfv378Pe3h6enp6yKcOqpFiVLjU1FQ0aNJDkiVMpybGPqcRxJiD/MZGqbdu2oUqVKnBxcQHP8/D398eCBQtYH1P1CUUpJCcnixLqO3bsgJeXFywsLNC6dWusWrUKCxYsQLly5bBp0yZ8+PABHz58QGxsLGxtbUV7+2iK3D//ov3hq1evqrXToUOHULlyZXTt2pU9OZWfn49u3bqxHISmKSkvAsh7nKnkvIjc+5mq/vjjD8ycORNlypTBkiVLsHbtWtGY7f79+2jRogUaNGgg2kLj5cuXkuyfKvcxBqCcvMjkyZNhaGiI1NRUvHjxgh3v0KEDqlevjmHDhmHatGlo2rQpHB0dJbteKSmHJ8RaUFCAO3fuwN/fHydPnkRubi7mzJkDnucxc+ZMPHr0CIsWLUK5cuXg6+uLEydOsIlEKdp5165d0NXVhZWVFXR0dLB+/XosX74cgYGBCA0Nxd69e5GRkYHo6GhUq1ZNku105HxdVS1zLvyugIAAHDhwgL1ny5Yt8Pf3Z09M79+/H1FRUZgwYYLkfQEBTSaqEEpO9OnTB5mZmdi5cyeMjIyQlJSENWvWYPTo0ShbtiyGDBmCpUuXQltbG6ampqhbty5cXV3ZF1qKC5HQGe3Tpw9+/fVXREVFged5REdHY8qUKWjWrBkcHBxkceKlp6fD1dUVERERuHr1Ki5evAie57Fu3TpcunQJwcHBCA0NZe+Xw4Si3Nr1787VUaNGQUtLC8uXL8f+/fvB8zxCQkLg5OQkurlrugP6T26YixcvRsWKFeHs7IyjR4+ymDXd1leuXEHp0qUxceJE0fFTp07BwcGBbS4tBdVrzU8//QQTExPs2rULkyZNgo+PDzp27Ij4+HiMGDECpUuXhr29PSwsLGBnZyfZOaCkkhNfatP58+dj+PDhKF26NBwcHFibfv78GVu3boWNjU2Jl5HLyclB7dq10bNnT7YPzOPHj2FhYYGdO3cC+PP8SE1Nha6uLlvRnJ+fL4syp3JM9AJf972SwzmgtFi/RE4l3QDltumsWbNgbGyM06dPAwAWLVoEnufRpk0bZGVlISsrC05OTjA3N1fbG0bTlBTrv4UUSTxNk3sfU8njTEC+Y6KiMRoaGiIxMRHPnz9HdnY2wsPDERgYiEWLFuHYsWMwMzODr6+vJPGp9t1u3bqFK1euoGLFipg6dSpmzJiBAQMGoFy5chg8eDB++OEHVobV1dUVhoaGoskSTZPr56/aphcvXsTbt2/B8zwGDhzISo4LDh48iFKlSmHAgAG4dOmSRuP8EjnnRZQyzlRqXgRQVj9TIGxPUapUKRgaGrLJRNXtKYyMjNRyJ1KQ2xijKKXkRXJzc9GkSRP2RPqDBw9w+PBhREZGYuvWrejcuTO+++47+Pr6Ijw8nPVXpFwAKOccHiC+vubm5uLGjRuIiYkRtdmCBQvA8zxmzZqFrKwsLFmyBDzPs4Xjmr7f5ufnIzc3F35+fvjxxx9x8+ZNTJkyheVxVqxYgY4dO6JUqVKwsbGBlZWVxvotShm/F1c+/t27d7CysmJl4gFg/vz50NXVxf379/H48WOEhIRgyJAh7HU5LK6lycQizp07Bzc3N0RFRaFfv36sxAQAvHr1CosXL4auri727NmD69evY/fu3UhOTmYfptQDKHd3d/Tt2xcnTpzA6tWr4enpiQYNGqBr166yuKgLVFfiZWZmYubMmeB5HrVr10a9evVYrFKXsQLk265/da7m5eXhhx9+QPny5bFlyxZs27YNXbp0wfDhw9k5qul4/5sb5syZM+Hv7y8qcyaFNWvWoEyZMhg+fDhOnDiBjIwMBAUFoX79+rIoi3D06FEMGTIEK1euZMd2796NJk2aoH379vj111+RlpaGBQsWICEhQbKJWUA5JSf+rk3379+PM2fOYO7cuVi2bBm7DkRFRSEwMFAjpcjS0tLg4eGBiIgIXLp0Ca9evYKxsTGWLl0KoPCJPqENmzVrxurES0Xuid6ilHAOKClWpZR0EyihTQUPHz5E9+7dsWXLFgCFT7ro6+tj3LhxqFSpEtq0aYM7d+7gzp076Nq1q6T9QCXFSpRDKX1MJY8zAfmOiQQbN26EnZ0dXr16xT7X7OxsdO7cGQ0bNsTbt29x+PBh2NjYaHzfbUFaWhrc3d0xcOBAxMXFYeTIkey1ly9fIiEhAeXLl8emTZtw/vx5LFq0CCtWrMCtW7ckiVeVXD9/1f7w69evkZSUBC0tLYwYMULtCUUvLy/wPI9BgwZJUiKuOHLPiyhhnKm0vAigrH4mID7/Pn78iAULFkBHRwd9+/YFUHgfFtqxR48e+O677zQam5LGGAKl5EWeP3+OGjVqIC4uDkePHkXHjh3h6ekJNzc3mJiYYOnSpfj8+bNosbLU/RVA/jk8AIiNjYWHhwcqVaoEJycnXLt2TfT6ggULoKWlhbFjx+LJkyeYPXs2tLW1MWvWLI3FKHxv3r17hz/++AOxsbGi/QXj4+OhpaWFBQsW4PHjx8jMzERGRoYkC0KVcF0V+lJ9+vRhE4o2NjY4dOgQe8/bt2/h4+MDnudhaWkJe3t72fRZBDSZWAyhk6+vr6+2cWxubi5CQ0MxaNAgtZ+TQ8IjLS0Nbm5u6NOnD3skVvXGL4eLukDoOEdGRuLOnTu4desWTp48KZsBsyq5tuvfnavfffcdBg8eDABsJRYgbdv+kxvms2fPRBMQUtqxYweMjY1Ro0YNWFlZwdfXV/JV4kBhksTS0hJ6enqYP3++6LWff/4ZjRo1wnfffceeABFo+nqlpJITX9umqamp7PidO3cwcOBAVKpUSe3fUJKEFc29e/fGw4cPER8fD21tbRw7dkz0vsaNG2PChAkai6sopSR6BUo6B+QeqxJLusm9TYt69+4ddu7ciRcvXuDMmTMwNzfHwoULARRec3meR2BgoGhQJ1WfVUmxEuVRQh9TyeNMQL5jIgDYvHkzLC0tWVxCLHfu3AHP8zh8+DCAwlJ9UkpLS4OnpyfMzMwwcOBA0WsvXrxAz5498f3330sU3V+T6+efnp4OFxcX9OrVC3l5edi7dy94nlebUBwxYgTWrVsnWWnTL5FrXkQp40xAWXkRpfUzVUuEpqSksMUYwvYUc+bMEb0/ODgY3bt318iWH0obYwDKyosIEhMToa+vDz09PYwePZqVZOzcuTPCw8NF75U6b6dKbjk81d+5efNmGBsb44cffsDQoUNRvnx5jBw5Um2Se+rUqfDz8wNQuA/hxIkTYWBgIJrQK2lJSUlo3rw57OzsYGNjo7Zv3/z586GtrY3Y2Fh2Pmuakq6rqouIUlNTERISwiomqJ6fs2bNwp49eyTvCxSHJhO/4OLFizA3N4erq6vao7m9e/f+Yu1qOUhPT4ebmxvatm2LmzdvsuNyuqgLhFn5tm3bivbGkcuAWZVc21Xu5+r/54Ypl4lEQXZ2Ns6fP4/U1FT275LDBf3ChQuoW7cumjZtqnYTTE5OhoODA2JiYiSKTkzuJScE/6RNX758iRUrVqB169Ya31ge+DOBEhERgUOHDmHIkCHQ0tLC3LlzsWrVKowcORJ6enpqSVUpKCHRK1DSOSDXWJVc0k2ubfolwsBjxowZCA4OZisrFy1ahK5du6JFixayWYWrpFiJvCm1jyn3vvvfkeuYKDMzEzo6Ohg7dqzo+N27d+Hg4IDff/9dosjUXbhwAebm5rCxscG5c+dEr8XGxsLZ2Vl2q9AFcv38VScUX79+jeTkZJQuXRoRERFYsWIFYmNjUatWLY0/0fW15JoXUdI4U0nXVqX1M4V90iwtLaGjo4MVK1YgJycH8fHxKFWqFMLDwzFu3DgMHz4cFSpUKPFSwkoeYwiUkhcR3Lt3j+05CxT2wRo3boy4uDgJo/p7cszhHTlyBAMGDMDatWvZsSVLlqBmzZqIjo5W67uq9nffv3+P3NxcjcV65swZ6OnpoV+/fujRowfKlCmDqKgotRhnzpyJypUrq5UY1yQlXVfT09Ph4eGBsLAw8DyPWrVqwcHBAS4uLrCzs0PdunUxevRo9n6p+wJF0WTiX7hw4QKcnZ0RHh7OOvl5eXnw9fVFnz59pA3ub5w+fRo9e/ZURDLm9OnT6NGjh2JilWO7KuFc/ac3TLlNJBZHTufB+fPn2V4mly9fFr124sQJWd18lFByAvhnbZqXlyfpvnNCYqdv3744cuQIFi9eDEtLSzg4OMDPz08tUaUpSk30CpR0Dsg1ViWXdJNrmxZH+J707NkT/v7+ePXqFd69e4dWrVqxkqKAPO5bSoqVKIMS+5hK6Lv/FbmOiTZs2ABtbW3ExMTg5s2bePz4MeLi4mBqaoqHDx9KHZ7IxYsX4ejoiB49eogSWZGRkWjSpIlkq/u/hlw//6ITir/99hvc3NxQt25d2NnZyWIC4a/INS+ipHGmkq6tSuhnFrdP2tSpU0XbU/zwww/Q09ODkZERduzYobG9CJU8xhAoJS+i6vXr10hJSUGrVq1E+44qhdTtKjxBp6uriwULFoheW7x4MWrWrInY2Fi181SKuDMzMzF+/HjMmDGDHUtISEDNmjURExOj1r/W5NOSX6KE66ogPT2d5etiY2Nx4MAB7Nu3Dxs2bMC6detk/d2iycS/kZ6eDjs7OxgbGyMkJATt2rWTRe36ryHEJvXF8mtQrP9/cj5X/9sbppy/X3IklLxUrb+tSk4DPbmVnPgSJbWpUHoqIiIC2dnZ+PDhA968eSNpB0mgxESvQEnngFxjVXJJN7m26Zf8/vvvKFOmDBwcHFCnTh1ZD/KVFCuRLyX3MeXcd/8achwTFRQUYPPmzahYsSJq1aqFunXrombNmkhLS5M6tGIJiSQLCwv06NEDffv2RZUqVSRbBPZPyPHzB8QTik+fPsW7d+/w5MkTSZ+W+Cfk3K5K6Q8p6doq13b9u33ShO0pZs6ciQcPHmDevHmoUqUKXrx4odE4lTzGECglLwIUnhe//fYbWrVqhebNm0u+V7JS/dUTdAkJCShdujSWLl0qUXSFXr16BXd3dxgaGiI2Nlb02uLFi2FiYoK4uDjcvn2bHZfLtVWu19XinDt3Dh4eHoiMjBQ9+SuQ69iYJhO/wqVLl2BlZQUHBwesXbtWlvVqv0QuX+avQbH+/8n5XFXCDfPfQHhcvl27dqIbuxzJseREcZTUpkKsHTt21Niq0L+j5ESvQInngNxiVXpJNzm26ZekpaUhLi4Os2bNYtdUOV5bAWXFSuRLyX1MOffdv4ac7tWq7t69i/379yM5OVlUMlKOLl68CCsrK5iammLGjBlqC6zkTK6fv1AytGPHjsjIyJA6nH9Mzu2qlP6Qkq6tcm3Xv9snbcGCBdDW1saECROQnZ2t0dKLqpQ8xhAoJS8CFJbZTE9Pl32ccvdXT9Dt2LFDFhNe6enpqFOnDvz8/NRKFy9duhRly5bFpEmTZHkOyPW6Whyhz6KEWAU0mfiVUlNTERkZKduVYoQI5HyuKuGG+W8g19JDf0fO8SqpTVNTU9GgQQM8evRI6lAYJSd6BUo6B+QaK5V0k4YcB3hfoqRYibwouY8p57470YyzZ8+iadOmePLkidSh/GvIsT/8b6Ck/pCSrq1ya9ev3SdtxowZ0NfXl/zJXyWPMYojl/Pg7yglTrlSwhN0Fy5cgIuLCyIjI9X614mJicU+TScXcruu/hUlxQoAPABw5KsA4Hie5woKCrhSpUpJHQ4hXyTnc/XcuXNcREQE5+bmxg0dOpSzs7MTvZ6fn8+VLl1aouj+PeR8DiiVktr0/fv3XNmyZaUOQ+TChQtcz549OXd3dy4qKoqzt7dnr+3cuZMLDQ2V/XdfSeeAXGM9d+4cFx4ezv3xxx9cQEAAp6Ojw23fvp07ePAg5+LiInV4f0mubUoIKaTkPiZdX4gc+25KR21aMpR0vaJY/7lbt25x69at48qVK8fFxMRwHMdxS5cu5aZPn8517dqV69evH2dmZsbe/+LFC05fX1+qcBkljzHI/65z585xffv25czMzLjZs2dztWvXljokNUL/2tXVlRs2bJha/1rO5HJd/RpKilXe0ckMz/McANl/qITI+VytV68el5iYyJ0/f56bMGECd+fOHdHrck3yKI2czwGlUlKbyjFx4uzszK1cuZJLS0vjFi5cyGVkZLDX2rRpw5UuXZrLz8+XMMK/p6RzQK6x1qtXj9u0aRNXqlQp7tChQ5y5uTmXlpamiEG+XNuUEFJIyX1Mur4QOfbdlI7atGQo6XpFsf4zeXl53Pfff88lJCRwr1+/Zsf79+/PxcTEcOvXr+dWrFghur9WrlxZgkjVKXmMQf531atXj1u8eDFXsWJF0SS9nAj964sXL3JTpkzhrl27JnVIX00O19WvpaRY5R+hzPA8L3UIhHwVOZ+rSrhh/hvI+RxQKmrT/x8lJ3oFSjoH5Bqro6Mjt2XLFs7Gxobr3bu3ou4Dcm1TQkghJfcx6fpCCFEKJV2vKNavp6enxy1fvpzT19fnjh49yl2+fJm9NnDgQG7s2LHcvHnzuPXr13OfP3/mOE76mFUpeYxB/nd5enpyK1eu5EqVKsUVFBRIHU6xhP51dnY2V6lSJanD+UfkdI36O0qJlcqcEkIko6THuAkh305qaiq3bNkyLjExkb77/8Oo/BghpKRQH5MQQgj571y8eJHr3r075+npyQ0ZMkS0PcXKlSu5gIAArk6dOhJG+NdojEGUSOi7yhl9twjH0WQiIURiSrhhEkK+PUr0EkIIKUnUxySEEEL+O0reJ40QQkjJoclEQgghhEiCEr2EEEIIIYQQIj/nzp3j+vXrx1lYWHATJkzgbGxspA6JEEKIxOhRAEIIIYRIgiYSCSGEEEIIIUR+lLxPGiGEkJJBTyYSQgghhBBCCCGEEEIIEaF90gghhAhoMpEQQgghhBBCCCGEEEIIIYQQUiwqc0oIIYQQQgghhBBCCCGEEEIIKRZNJhJCCCGEEEIIIYQQQgghhBBCikWTiYQQQgghhBBCCCGEEEIIIYSQYtFkIiGEEPINTZw4keN5XvQ/GxsbqcMihBBCCCGEEEIIIYSQ/4qW1AEQQggh/zb29vbcwYMH2Z+1tL7t7RYAl5+f/83/XkIIIYQQQgghhBBCCCmKnkwkhBBCvjEtLS3OyMiI/c/Q0PAv33/y5EnOxcWFK1u2LOfu7s4lJSVxPM9z58+f5ziO444cOcLxPM/t27ePc3Nz43R0dLjjx49zt27d4kJDQ7nq1atzurq6nIeHh2gSk+M4ztzcnJs6dSoXHh7O6erqcmZmZtzPP//MPX36lAsNDeV0dXU5Jycn7uzZsyXVHIQQQgghhBBCCCGEEAWjyURCCCHkG7t58yZXo0YNzsLCguvSpQt3//79L743Ly+PCwkJ4RwdHbn09HRuypQpXHR0dLHvjYmJ4WbOnMldvXqVc3Jy4t68ecO1bNmSO3ToEHfu3DmuRYsWXEhIiNrvmz9/Pufn58edO3eOCw4O5rp168aFh4dzXbt25dLT0zlLS0suPDycA/BN24EQQgghhBBCCCGEEKJ8PChzSAghhHwz+/bt4968ecNZW1tz2dnZ3KRJk7iHDx9yly9f5ipWrKj2/mXLlnFjx47lHjx4wJUtW5bjOI5LTEzk+vTpw507d45zcXHhjhw5wgUGBnJJSUlcaGjoX/5+BwcHrl+/ftygQYM4jit8MrF+/frc+vXrOY7juJycHM7Y2JgbN24cN3nyZI7jOO7UqVOcj48Pl52dzRkZGX3L5iCEEEIIIYQQWZo4cSI3adIk0TFra2vu2rVrEkVECCGEyBdttkQIIYR8Q0FBQey/nZycOC8vL87MzIz76aefuDNnznAbNmxgr79584a7fv065+TkxCYSOY7jPD09i/273d3dRX9+8+YNN3HiRC45OZnLzs7mPn/+zL17907tyUQnJyf239WrV+c4juMcHR3Vjj158oQmEwkhhBBCCCH/M2i/e0IIIeTrUJlTQgghpARVrlyZq1u3LpeZmclNnjyZO3/+PPvfP1WhQgXRn0eOHMnt2rWLmz59OpeSksKdP3+ec3R05D5+/Ch6X5kyZdh/8zz/xWMFBQX/OCZCCCGEEEIIUSra754QQgj5OjSZSAghhJSgN2/ecLdu3eKMjY25atWqcVZWVux/HFdYRufSpUvchw8f2M+cOXPmq/7uEydOcD169ODCwsI4R0dHzsjIiLt7925J/DMIIYQQQggh5F+H9rsnhBBCvg5NJhJCCCHf0MiRI7mjR49yd+/e5U6ePMmFhYVxpUuX5jp16lTs+zt37swVFBRwkZGR3NWrV7lff/2Vmzt3Lsdxfz4x+CV16tThdu7cyZ0/f567cOEC+7sIIYQQQgghhPw1Ly8vbs2aNdz+/fu5pUuXcnfu3OHq16/PvX79utj3b9q0ieN5nluxYgVnZ2fHBQUFcaNGjSr2vZMnT+aaNm3KWVpacgYGBpyzszPXt29fzsHBgatTpw43ZcoUztLSkvv5559FP9eyZUuub9++XJ06dbjx48dzeXl5nIeHB9e+fXuubt26XHR0NHf16lXu8ePH37w9CCGEkL9CBbsJIYSQb+jBgwdcp06duNzcXK5q1aqcv78/d+rUKa5q1arFvl9PT4/75ZdfuP79+3MuLi6co6MjN378eK5z586ifRSLEx8fz/Xq1Yvz9fXlDA0NuejoaC4vL68k/lmEEEIIIYQQ8q9C+90TQgghX48mEwkhhJBvaMuWLf/4Z3x9fbkLFy6wP2/cuJErU6YMV6tWLY7jOK5hw4bFlrExNzfnDh8+LDo2cOBA0Z+LK3ta9O8yNzenMjmEEEIIIYSQ/2lF97sfOXLkf/13Fbff/YEDB7i5c+dyVlZWXLly5bh27drRfveEEEIUgyYTCSGEEImtW7eOs7Cw4ExMTLgLFy5w0dHRXIcOHbhy5cpJHRohhBBCCCGE/E8Q9rvv1q0bV61aNa5atWqi162trbkNGzZwHz584HR0dDiO++/2uxd+F+13TwghREloz0RCCCFEYjk5OVzXrl05W1tbbtiwYVz79u255cuXSx0WIYQQQgghhPxr0X73hBBCyNejJxMJIYQQiY0ePZobPXq01GEQQgghhBBCyP8M2u+eEEII+Xo8aJMkQgghhBBCCCGEEEII+Uc2btzI9ezZk3v16hVtU0EIIeRfjZ5MJIQQQgghhBBCCCGEkL9B+90TQgj5X0WTiYQQQgghhBBCCCGEEPI3cnJyuPHjx3M5OTmcsbEx1759e27atGlSh0UIIYSUOCpzSgghhBBCCCGEEEIIIYQQQggpVimpAyCEEEIIIYQQQgghhBBCCCGEyBNNJhJCCCGEEEIIIYQQQgghhBBCikWTiYQQQgghhBBCCCGEEEIIIYSQYtFkIiGEEEIIIYQQQgghhBBCCCGkWDSZSAghhBBCCCGEEEIIIYQQQggpFk0mEkIIIYQQQgghhBBCCCGEEEKKRZOJhBBCCCGEEEIIIYQQQgghhJBi0WQiIYQQQgghhBBCCCGEEEIIIaRY/wdmBjyeiQ1eRQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 213, + "id": "6a362b09-3c8d-4087-863b-8e6008d08ef3", + "metadata": {}, + "outputs": [], + "source": [ + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 214, + "id": "bafa4052-3673-44bf-b960-ba5b8d397524", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Yonga',\n", + " 'Ngolungo',\n", + " 'Mango',\n", + " 'Mbolingoni',\n", + " 'Mbokulo',\n", + " 'Monga',\n", + " 'Bonga',\n", + " 'Komaga',\n", + " 'Ngongo',\n", + " 'Amongboni']" + ] + }, + "execution_count": 214, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 215, + "id": "83968f64-202f-4e04-bfbf-285b4be4bcf1", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Bongo',\n", + " 'Monga',\n", + " 'Mboko',\n", + " 'Ilinga',\n", + " 'Manga',\n", + " 'Mbongi',\n", + " 'Mbunde',\n", + " 'Lelumba',\n", + " 'Botingo',\n", + " 'Ngoko']" + ] + }, + "execution_count": 215, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 216, + "id": "e201a4e4-c190-43b3-916e-ef7cfc258ac8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Bangola',\n", + " 'Bambo',\n", + " 'Lekosi',\n", + " 'Walila',\n", + " 'Ngongongombo',\n", + " 'Mbonda',\n", + " 'Bolonga',\n", + " 'Bongonga',\n", + " 'Bokako',\n", + " 'Ngangangengo']" + ] + }, + "execution_count": 216, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, + { + "cell_type": "markdown", + "id": "427d5bf8-c9d5-4115-9494-1580120c3d86", + "metadata": {}, + "source": [ + "## OTHERS" + ] + }, + { + "cell_type": "code", + "execution_count": 257, + "id": "69d8f09f-e557-4820-9262-fbee2107bd0c", + "metadata": {}, + "outputs": [], + "source": [ + "region_name = \"AUTRES\"\n", + "df_names_region = prepare_names(df, region_name)\n", + "\n", + "transitions_region = build_transitions(df_names_region)\n", + "\n", + "P_name_both = transitions_region[\"P_both\"]\n", + "P_name_male = transitions_region[\"P_male\"]\n", + "P_name_female = transitions_region[\"P_female\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 258, + "id": "571444f9-d053-4316-8268-d9d524db0021", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_name_heatmaps(\n", + " {\n", + " \"male\": transitions_region[\"male\"],\n", + " \"female\": transitions_region[\"female\"],\n", + " \"both\": transitions_region[\"both\"],\n", + " },\n", + " {\n", + " \"male\": f\"Male (names - {region_name.title()})\",\n", + " \"female\": f\"Female (names - {region_name.title()})\",\n", + " \"both\": f\"All (names - {region_name.title()})\",\n", + " }\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 259, + "id": "8c9c29eb-ad99-4788-841a-6cdca0450047", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_diff_heatmap(\n", + " transitions_region[\"male\"][\"df_probs\"],\n", + " transitions_region[\"female\"][\"df_probs\"],\n", + " f\"Male – Female Transition Probability Differences (names - {region_name.title()})\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 260, + "id": "e7159b24-bafb-46fe-8169-f55a3aff1c37", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Frequencies and N-grams\n", + "plot_letter_grid(df_names_region, use=\"freq\")" + ] + }, + { + "cell_type": "code", + "execution_count": 261, + "id": "a3b639c9-d755-431c-a7fa-60cd3448e3cc", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_letter_grid(df_names_region, use=\"freq\", sort_values=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 262, + "id": "9900b4cb-79fd-48a3-821a-d0f492e4adeb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=3, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 263, + "id": "77d945d4-7b27-451c-afc7-1690c7f7ae54", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=4, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 264, + "id": "b2390a6e-39a5-4c9f-b9ce-d5003d0f0aa2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_ngrams_grid(df_names_region, n=5, top_k=20, gender_col=\"sex\")" + ] + }, + { + "cell_type": "code", + "execution_count": 265, + "id": "323f6786-7f25-4830-b627-2e38e40ff090", + "metadata": {}, + "outputs": [], + "source": [ + "generated_male_names = generate_names_from_region(transitions_region, tokens, gender=\"male\")\n", + "generated_female_names = generate_names_from_region(transitions_region, tokens, gender=\"female\")\n", + "generated_both_names = generate_names_from_region(transitions_region, tokens, gender=\"both\")" + ] + }, + { + "cell_type": "code", + "execution_count": 266, + "id": "e5bde1e4-04ea-49eb-ba55-77712984c5c6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mamandi',\n", + " 'Lingo',\n", + " 'Mbonga',\n", + " 'Ngaluka',\n", + " 'Mbalo',\n", + " 'Mamba',\n", + " 'Mingo',\n", + " 'Ekango',\n", + " 'Kanga',\n", + " 'Mbolo']" + ] + }, + "execution_count": 266, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_male_names" + ] + }, + { + "cell_type": "code", + "execution_count": 267, + "id": "7743f88f-6c3b-48e7-82d4-ba527b46c8e4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Kalanga',\n", + " 'Eshama',\n", + " 'Malanga',\n", + " 'Mbombwa',\n", + " 'Mbasebo',\n", + " 'Labashalo',\n", + " 'Kanga',\n", + " 'Kakulo',\n", + " 'Kundi',\n", + " 'Mango']" + ] + }, + "execution_count": 267, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_female_names" + ] + }, + { + "cell_type": "code", + "execution_count": 268, + "id": "5d642e63-1e49-4f79-9ac4-c1678633edeb", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Mbamba',\n", + " 'Kabinga',\n", + " 'Andumbo',\n", + " 'Bunga',\n", + " 'Mbenga',\n", + " 'Kanga',\n", + " 'Mango',\n", + " 'Malinga',\n", + " 'Muamuka',\n", + " 'Mbanga']" + ] + }, + "execution_count": 268, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "generated_both_names" + ] + }, { "cell_type": "code", "execution_count": null, - "id": "597b151d-bdfe-4a6a-84ae-c9c9036f29e2", + "id": "ce2ec4f2-7220-4b9a-8753-261a2b548b5c", "metadata": {}, "outputs": [], "source": []