From 773ebf32c61f2ff0302cffc7a8814d62e6c110fe Mon Sep 17 00:00:00 2001
From: amaury <cansamaur@gmail.com>
Date: Fri, 26 Sep 2025 13:20:37 +0200
Subject: [PATCH] =?UTF-8?q?Adding=20surname=20transition=20analysis=20with?=
 =?UTF-8?q?=20Markov=20models,=20frequency=20studies,=20and=20visualizatio?=
 =?UTF-8?q?ns,=20including=20cleaned=20surname=20preprocessing,=20province?=
 =?UTF-8?q?=20sampling,=20bigram/trigram=20stats,=20and=20male=E2=80=93fem?=
 =?UTF-8?q?ale=20transition=20comparisons?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 notebooks/names.ipynb | 1095 ++++++++++++++++++++++++++---------------
 1 file changed, 694 insertions(+), 401 deletions(-)

diff --git a/notebooks/names.ipynb b/notebooks/names.ipynb
index a338089..ac8a20c 100644
--- a/notebooks/names.ipynb
+++ b/notebooks/names.ipynb
@@ -4,10 +4,13 @@
    "cell_type": "markdown",
    "id": "b6cc3c6b-85c7-4a04-9aef-8ffc055aa93c",
    "metadata": {},
-   "source": "# Names Analysis & Modeling"
+   "source": [
+    "# Names Analysis & Modeling"
+   ]
   },
   {
    "cell_type": "code",
+   "execution_count": 1,
    "id": "initial_id",
    "metadata": {
     "ExecuteTime": {
@@ -15,6 +18,7 @@
      "start_time": "2025-09-25T19:54:31.689969Z"
     }
    },
+   "outputs": [],
    "source": [
     "import pandas as pd \n",
     "import unicodedata \n",
@@ -33,25 +37,26 @@
     "from core.utils.data_loader import DataLoader\n",
     "from core.utils.region_mapper import RegionMapper\n",
     "from core.config.pipeline_config import PipelineConfig"
-   ],
-   "outputs": [],
-   "execution_count": 116
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "16647cc71aea7594",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T18:26:50.162866Z",
      "start_time": "2025-09-25T18:26:50.159601Z"
     }
    },
-   "cell_type": "code",
-   "source": "LETTERS = 'abcdefghijklmnopqrstuvwxyz'",
-   "id": "16647cc71aea7594",
    "outputs": [],
-   "execution_count": 47
+   "source": [
+    "LETTERS = 'abcdefghijklmnopqrstuvwxyz'"
+   ]
   },
   {
    "cell_type": "code",
+   "execution_count": 3,
    "id": "f1a69290-a9c0-40d0-9fe8-a06d8a466671",
    "metadata": {
     "ExecuteTime": {
@@ -59,6 +64,7 @@
      "start_time": "2025-09-25T17:39:49.304876Z"
     }
    },
+   "outputs": [],
    "source": [
     "config = PipelineConfig(\n",
     "    paths={\n",
@@ -82,36 +88,34 @@
     "    s = s.lower()\n",
     "    s = re.sub(r\"[^a-z]\", \"\", s)\n",
     "    return s"
-   ],
-   "outputs": [],
-   "execution_count": 3
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "e48c6fd9a213bcd2",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T17:59:34.598256Z",
      "start_time": "2025-09-25T17:58:54.210735Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "df = loader.load_csv_complete(config.paths.data_dir / \"names_featured.csv\")\n",
     "df['province'] = RegionMapper.clean_province(df['province'])"
-   ],
-   "id": "e48c6fd9a213bcd2",
-   "outputs": [],
-   "execution_count": 23
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "2715f291947f5158",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T17:59:38.255948Z",
      "start_time": "2025-09-25T17:59:38.249016Z"
     }
    },
-   "cell_type": "code",
-   "source": "df.columns",
-   "id": "2715f291947f5158",
    "outputs": [
     {
      "data": {
@@ -123,33 +127,28 @@
        "      dtype='object')"
       ]
      },
-     "execution_count": 24,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
-   "execution_count": 24
+   "source": [
+    "df.columns"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "93f8859e3e9c4350",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T18:01:22.242283Z",
      "start_time": "2025-09-25T18:01:21.580597Z"
     }
    },
-   "cell_type": "code",
-   "source": "df.describe().T",
-   "id": "93f8859e3e9c4350",
    "outputs": [
     {
      "data": {
-      "text/plain": [
-       "                count       mean       std  min   25%   50%   75%   max\n",
-       "words       6467942.0   2.869578   0.46841  1.0   3.0   3.0   3.0  11.0\n",
-       "length      6467942.0  20.141236  3.796574  0.0  18.0  21.0  23.0  60.0\n",
-       "ner_tagged  5018124.0   0.997939  0.045348  0.0   1.0   1.0   1.0   1.0\n",
-       "annotated   5018124.0   0.997939  0.045348  0.0   1.0   1.0   1.0   1.0"
-      ],
       "text/html": [
        "<div>\n",
        "<style scoped>\n",
@@ -227,53 +226,37 @@
        "  </tbody>\n",
        "</table>\n",
        "</div>"
+      ],
+      "text/plain": [
+       "                count       mean       std  min   25%   50%   75%   max\n",
+       "words       6467942.0   2.869578   0.46841  1.0   3.0   3.0   3.0  11.0\n",
+       "length      6467942.0  20.141236  3.796574  0.0  18.0  21.0  23.0  60.0\n",
+       "ner_tagged  5018124.0   0.997939  0.045348  0.0   1.0   1.0   1.0   1.0\n",
+       "annotated   5018124.0   0.997939  0.045348  0.0   1.0   1.0   1.0   1.0"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
-   "execution_count": 28
+   "source": [
+    "df.describe().T"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "378147d2abc9ab24",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T18:02:53.214472Z",
      "start_time": "2025-09-25T18:02:52.427559Z"
     }
    },
-   "cell_type": "code",
-   "source": [
-    "# Group by province and compute counts\n",
-    "word_stats = (\n",
-    "    df.groupby(\"province\")[\"identified_category\"]\n",
-    "    .value_counts(normalize=True)  # get proportions\n",
-    "    .unstack(fill_value=0)          # reshape into columns per word count\n",
-    ")\n",
-    "\n",
-    "display(word_stats.head(12))"
-   ],
-   "id": "378147d2abc9ab24",
    "outputs": [
     {
      "data": {
-      "text/plain": [
-       "identified_category   compose    simple\n",
-       "province                               \n",
-       "AUTRES               0.206217  0.793783\n",
-       "BANDUNDU             0.626906  0.373094\n",
-       "BAS-CONGO            0.090813  0.909187\n",
-       "EQUATEUR             0.124238  0.875762\n",
-       "KASAI-OCCIDENTAL     0.261266  0.738734\n",
-       "KASAI-ORIENTAL       0.076224  0.923776\n",
-       "KATANGA              0.180624  0.819376\n",
-       "KINSHASA             0.076792  0.923208\n",
-       "MANIEMA              0.461150  0.538850\n",
-       "NORD-KIVU            0.119626  0.880374\n",
-       "ORIENTALE            0.160905  0.839095\n",
-       "SUD-KIVU             0.409647  0.590353"
-      ],
       "text/html": [
        "<div>\n",
        "<style scoped>\n",
@@ -366,25 +349,62 @@
        "  </tbody>\n",
        "</table>\n",
        "</div>"
+      ],
+      "text/plain": [
+       "identified_category   compose    simple\n",
+       "province                               \n",
+       "AUTRES               0.206217  0.793783\n",
+       "BANDUNDU             0.626906  0.373094\n",
+       "BAS-CONGO            0.090813  0.909187\n",
+       "EQUATEUR             0.124238  0.875762\n",
+       "KASAI-OCCIDENTAL     0.261266  0.738734\n",
+       "KASAI-ORIENTAL       0.076224  0.923776\n",
+       "KATANGA              0.180624  0.819376\n",
+       "KINSHASA             0.076792  0.923208\n",
+       "MANIEMA              0.461150  0.538850\n",
+       "NORD-KIVU            0.119626  0.880374\n",
+       "ORIENTALE            0.160905  0.839095\n",
+       "SUD-KIVU             0.409647  0.590353"
       ]
      },
      "metadata": {},
-     "output_type": "display_data",
-     "jetTransient": {
-      "display_id": null
-     }
+     "output_type": "display_data"
     }
    ],
-   "execution_count": 30
+   "source": [
+    "# Group by province and compute counts\n",
+    "from IPython.display import display\n",
+    "word_stats = (\n",
+    "    df.groupby(\"province\")[\"identified_category\"]\n",
+    "    .value_counts(normalize=True)  # get proportions\n",
+    "    .unstack(fill_value=0)          # reshape into columns per word count\n",
+    ")\n",
+    "\n",
+    "display(word_stats.head(12))"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "6d5c1abb55b7076a",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T18:05:12.951347Z",
      "start_time": "2025-09-25T18:05:12.736698Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1200x600 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "ax = word_stats.plot(\n",
     "    kind=\"bar\",\n",
@@ -398,27 +418,11 @@
     "plt.legend(title=\"Name Category\", bbox_to_anchor=(1.05, 1), loc=\"upper left\")\n",
     "plt.tight_layout()\n",
     "plt.show()"
-   ],
-   "id": "6d5c1abb55b7076a",
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 1200x600 with 1 Axes>"
-      ],
-      "image/png": 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"
-     },
-     "metadata": {},
-     "output_type": "display_data",
-     "jetTransient": {
-      "display_id": null
-     }
-    }
-   ],
-   "execution_count": 33
+   ]
   },
   {
    "cell_type": "code",
+   "execution_count": 10,
    "id": "24a4ad40319f441b",
    "metadata": {
     "ExecuteTime": {
@@ -426,6 +430,7 @@
      "start_time": "2025-09-25T18:06:14.115049Z"
     }
    },
+   "outputs": [],
    "source": [
     "# Explode identified_name into words\n",
     "df_names = (\n",
@@ -447,29 +452,21 @@
     "df_names = df_names[df_names['name'].ne('')]\n",
     "\n",
     "df_names = df_names[['name', 'province', 'sex']].reset_index(drop=True)"
-   ],
-   "outputs": [],
-   "execution_count": 34
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "5ce61cb4109c1cee",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T18:01:37.658949Z",
      "start_time": "2025-09-25T18:01:33.224026Z"
     }
    },
-   "cell_type": "code",
-   "source": "df_names.describe().T",
-   "id": "5ce61cb4109c1cee",
    "outputs": [
     {
      "data": {
-      "text/plain": [
-       "             count  unique       top     freq\n",
-       "name      10015595  644336    ilunga    82342\n",
-       "province  10015595      12  KINSHASA  2106077\n",
-       "sex       10015595       2         m  6033856"
-      ],
       "text/html": [
        "<div>\n",
        "<style scoped>\n",
@@ -520,17 +517,26 @@
        "  </tbody>\n",
        "</table>\n",
        "</div>"
+      ],
+      "text/plain": [
+       "             count  unique       top     freq\n",
+       "name      10015595  644336    ilunga    82342\n",
+       "province  10015595      12  KINSHASA  2106077\n",
+       "sex       10015595       2         m  6033856"
       ]
      },
-     "execution_count": 29,
+     "execution_count": 11,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
-   "execution_count": 29
+   "source": [
+    "df_names.describe().T"
+   ]
   },
   {
    "cell_type": "code",
+   "execution_count": 12,
    "id": "77abf83a2f6360f5",
    "metadata": {
     "ExecuteTime": {
@@ -538,62 +544,9 @@
      "start_time": "2025-09-25T17:48:49.779413Z"
     }
    },
-   "source": [
-    "# Province counts before exploding\n",
-    "prov_counts_orig = (\n",
-    "    df['province'].value_counts()\n",
-    "    .rename_axis(\"province\")\n",
-    "    .reset_index(name=\"count_original\")\n",
-    ")\n",
-    "\n",
-    "# Province counts after exploding into df_names\n",
-    "prov_counts_names = (\n",
-    "    df_names['province'].value_counts()\n",
-    "    .rename_axis(\"province\")\n",
-    "    .reset_index(name=\"count_names\")\n",
-    ")\n",
-    "\n",
-    "# Merge both into one table\n",
-    "comparison = (\n",
-    "    prov_counts_orig\n",
-    "    .merge(prov_counts_names, on=\"province\", how=\"outer\")\n",
-    "    .fillna(0)\n",
-    ")\n",
-    "\n",
-    "# Add augmentation percentage\n",
-    "comparison[\"augmentation\"] = (\n",
-    "        (comparison[\"count_names\"] - comparison[\"count_original\"])\n",
-    "        / comparison[\"count_original\"]\n",
-    "        * 100\n",
-    ").round(2)\n",
-    "\n",
-    "# Sort and display top 12 provinces\n",
-    "comparison = (\n",
-    "    comparison\n",
-    "    .sort_values(\"count_original\", ascending=False)\n",
-    "    .reset_index(drop=True)\n",
-    ")\n",
-    "\n",
-    "display(comparison.head(12))"
-   ],
    "outputs": [
     {
      "data": {
-      "text/plain": [
-       "            province  count_original  count_names  augmentation\n",
-       "0           KINSHASA         1140620      2106077         84.64\n",
-       "1             AUTRES         1035751      1644326         58.76\n",
-       "2            KATANGA          836220      1370359         63.88\n",
-       "3           BANDUNDU          809949       604374        -25.38\n",
-       "4     KASAI-ORIENTAL          434497       802757         84.76\n",
-       "5          NORD-KIVU          394999       695494         76.07\n",
-       "6   KASAI-OCCIDENTAL          367626       543156         47.75\n",
-       "7           EQUATEUR          356404       624252         75.15\n",
-       "8           SUD-KIVU          346152       408708         18.07\n",
-       "9          ORIENTALE          322756       541646         67.82\n",
-       "10         BAS-CONGO          295155       536702         81.84\n",
-       "11           MANIEMA          127813       137744          7.77"
-      ],
       "text/html": [
        "<div>\n",
        "<style scoped>\n",
@@ -707,25 +660,77 @@
        "  </tbody>\n",
        "</table>\n",
        "</div>"
+      ],
+      "text/plain": [
+       "            province  count_original  count_names  augmentation\n",
+       "0           KINSHASA         1140620      2106077         84.64\n",
+       "1             AUTRES         1035751      1644326         58.76\n",
+       "2            KATANGA          836220      1370359         63.88\n",
+       "3           BANDUNDU          809949       604374        -25.38\n",
+       "4     KASAI-ORIENTAL          434497       802757         84.76\n",
+       "5          NORD-KIVU          394999       695494         76.07\n",
+       "6   KASAI-OCCIDENTAL          367626       543156         47.75\n",
+       "7           EQUATEUR          356404       624252         75.15\n",
+       "8           SUD-KIVU          346152       408708         18.07\n",
+       "9          ORIENTALE          322756       541646         67.82\n",
+       "10         BAS-CONGO          295155       536702         81.84\n",
+       "11           MANIEMA          127813       137744          7.77"
       ]
      },
      "metadata": {},
-     "output_type": "display_data",
-     "jetTransient": {
-      "display_id": null
-     }
+     "output_type": "display_data"
     }
    ],
-   "execution_count": 13
+   "source": [
+    "# Province counts before exploding\n",
+    "prov_counts_orig = (\n",
+    "    df['province'].value_counts()\n",
+    "    .rename_axis(\"province\")\n",
+    "    .reset_index(name=\"count_original\")\n",
+    ")\n",
+    "\n",
+    "# Province counts after exploding into df_names\n",
+    "prov_counts_names = (\n",
+    "    df_names['province'].value_counts()\n",
+    "    .rename_axis(\"province\")\n",
+    "    .reset_index(name=\"count_names\")\n",
+    ")\n",
+    "\n",
+    "# Merge both into one table\n",
+    "comparison = (\n",
+    "    prov_counts_orig\n",
+    "    .merge(prov_counts_names, on=\"province\", how=\"outer\")\n",
+    "    .fillna(0)\n",
+    ")\n",
+    "\n",
+    "# Add augmentation percentage\n",
+    "comparison[\"augmentation\"] = (\n",
+    "        (comparison[\"count_names\"] - comparison[\"count_original\"])\n",
+    "        / comparison[\"count_original\"]\n",
+    "        * 100\n",
+    ").round(2)\n",
+    "\n",
+    "# Sort and display top 12 provinces\n",
+    "comparison = (\n",
+    "    comparison\n",
+    "    .sort_values(\"count_original\", ascending=False)\n",
+    "    .reset_index(drop=True)\n",
+    ")\n",
+    "\n",
+    "display(comparison.head(12))"
+   ]
   },
   {
    "cell_type": "markdown",
    "id": "98ba6e48-a7c4-4aae-8b46-872489c95faf",
    "metadata": {},
-   "source": "## Transition probabilities"
+   "source": [
+    "## Transition probabilities"
+   ]
   },
   {
    "cell_type": "code",
+   "execution_count": 13,
    "id": "e324e1c9e8da4bd8",
    "metadata": {
     "ExecuteTime": {
@@ -733,6 +738,7 @@
      "start_time": "2025-09-25T19:59:00.225716Z"
     }
    },
+   "outputs": [],
    "source": [
     "def build_transition_probs(\n",
     "        names: pd.Series,\n",
@@ -801,18 +807,19 @@
     "        \"probs\": probs,\n",
     "        \"df_probs\": df_probs,\n",
     "    }\n"
-   ],
-   "outputs": [],
-   "execution_count": 133
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 14,
+   "id": "12a7094d94ad519f",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T19:59:41.506588Z",
      "start_time": "2025-09-25T19:59:03.640342Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "transitions_both   = build_transition_probs(df_names['name'])\n",
     "transitions_male   = build_transition_probs(df_names.loc[df_names['sex'].str.lower() == 'm', 'name'])\n",
@@ -822,13 +829,11 @@
     "P_both   = transitions_both['probs']\n",
     "P_male   = transitions_male['probs']\n",
     "P_female = transitions_female['probs']"
-   ],
-   "id": "12a7094d94ad519f",
-   "outputs": [],
-   "execution_count": 134
+   ]
   },
   {
    "cell_type": "code",
+   "execution_count": 15,
    "id": "67b3e0f724af646b",
    "metadata": {
     "ExecuteTime": {
@@ -836,6 +841,7 @@
      "start_time": "2025-09-25T20:02:32.569329Z"
     }
    },
+   "outputs": [],
    "source": [
     "def plot_transition_matrix(ax, df_probs, title=\"\", letters=\"abcdefghijklmnopqrstuvwxyz\"):\n",
     "    hm = sns.heatmap(\n",
@@ -847,18 +853,30 @@
     "    )\n",
     "    ax.set_title(title, fontsize=12)\n",
     "    return hm"
-   ],
-   "outputs": [],
-   "execution_count": 135
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 16,
+   "id": "f15ad6eb4df27527",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T20:02:36.087443Z",
      "start_time": "2025-09-25T20:02:34.953458Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 2000x600 with 4 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "# Create 1x3 grid\n",
     "fig, axes = plt.subplots(1, 3, figsize=(20, 6), sharex=True, sharey=True)\n",
@@ -872,33 +890,30 @@
     "cbar.set_label(\"Transition probability\")\n",
     "\n",
     "plt.show()"
-   ],
-   "id": "f15ad6eb4df27527",
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 2000x600 with 4 Axes>"
-      ],
-      "image/png": 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-      "display_id": null
-     }
-    }
-   ],
-   "execution_count": 136
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 17,
+   "id": "51ec0792317364fc",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T20:03:42.518370Z",
      "start_time": "2025-09-25T20:03:42.145944Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 600x500 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "diff = transitions_male['df_probs'] - transitions_female['df_probs']\n",
     "\n",
@@ -907,33 +922,30 @@
     "plt.title(\"Male – Female Transition Probability Differences\")\n",
     "plt.tight_layout()\n",
     "plt.show()"
-   ],
-   "id": "51ec0792317364fc",
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "<Figure size 600x500 with 2 Axes>"
-      ],
-      "image/png": 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"
-     },
-     "metadata": {},
-     "output_type": "display_data",
-     "jetTransient": {
-      "display_id": null
-     }
-    }
-   ],
-   "execution_count": 142
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 18,
+   "id": "dae836cd8a6c26e6",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T19:54:41.378255Z",
      "start_time": "2025-09-25T19:54:41.361591Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "L2 distance: 0.3189\n",
+      "KL(male||female): 0.0432\n",
+      "KL(female||male): 0.0215\n",
+      "JSD: 0.0324\n"
+     ]
+    }
+   ],
    "source": [
     "import numpy as np\n",
     "from scipy.spatial.distance import euclidean\n",
@@ -956,36 +968,35 @@
     "print(f\"KL(male||female): {kl_mf:.4f}\")\n",
     "print(f\"KL(female||male): {kl_fm:.4f}\")\n",
     "print(f\"JSD: {jsd:.4f}\")\n"
-   ],
-   "id": "dae836cd8a6c26e6",
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "L2 distance: 0.3189\n",
-      "KL(male||female): 0.0432\n",
-      "KL(female||male): 0.0215\n",
-      "JSD: 0.0324\n"
-     ]
-    }
-   ],
-   "execution_count": 117
+   ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
-   "source": "The transition probabilities of characters in male and female names from your dataset are very similar. There are measurable but small differences: male names diverge slightly more from the female pattern than the reverse. However, the overall structure of how characters follow each other is largely shared between the two groups.",
-   "id": "f0bbe49cf3e65f10"
+   "id": "f0bbe49cf3e65f10",
+   "metadata": {},
+   "source": [
+    "The transition probabilities of characters in male and female names from your dataset are very similar. There are measurable but small differences: male names diverge slightly more from the female pattern than the reverse. However, the overall structure of how characters follow each other is largely shared between the two groups."
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "d029bbd85794df95",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T20:20:11.270081Z",
      "start_time": "2025-09-25T20:20:11.244279Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Row 'a' → χ²=66636.402, dof=26, p=0.000e+00\n"
+     ]
+    }
+   ],
    "source": [
     "import numpy as np\n",
     "import pandas as pd\n",
@@ -1051,42 +1062,21 @@
     "df_tests.loc[mask, 'significant'] = rej\n",
     "\n",
     "df_tests = df_tests.sort_values('chi2', ascending=False).reset_index(drop=True)"
-   ],
-   "id": "d029bbd85794df95",
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Row 'a' → χ²=66636.402, dof=26, p=0.000e+00\n"
-     ]
-    }
-   ],
-   "execution_count": 153
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 21,
+   "id": "80e7f52285a073ea",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T20:20:17.405785Z",
      "start_time": "2025-09-25T20:20:17.395818Z"
     }
    },
-   "cell_type": "code",
-   "source": "df_tests.head(7)",
-   "id": "80e7f52285a073ea",
    "outputs": [
     {
      "data": {
-      "text/plain": [
-       "  row_token          chi2  dof    p  p_adj significant\n",
-       "0         a  66636.401639   26  0.0    0.0        True\n",
-       "1         i  36497.202246   26  0.0    0.0        True\n",
-       "2         n  32505.512092   25  0.0    0.0        True\n",
-       "3         u  31904.897504   26  0.0    0.0        True\n",
-       "4         g  24595.637377   26  0.0    0.0        True\n",
-       "5         m  23254.272134   26  0.0    0.0        True\n",
-       "6         e  19945.183545   26  0.0    0.0        True"
-      ],
       "text/html": [
        "<div>\n",
        "<style scoped>\n",
@@ -1181,33 +1171,48 @@
        "  </tbody>\n",
        "</table>\n",
        "</div>"
+      ],
+      "text/plain": [
+       "  row_token          chi2  dof    p  p_adj significant\n",
+       "0         a  66636.401639   26  0.0    0.0        True\n",
+       "1         i  36497.202246   26  0.0    0.0        True\n",
+       "2         n  32505.512092   25  0.0    0.0        True\n",
+       "3         u  31904.897504   26  0.0    0.0        True\n",
+       "4         g  24595.637377   26  0.0    0.0        True\n",
+       "5         m  23254.272134   26  0.0    0.0        True\n",
+       "6         e  19945.183545   26  0.0    0.0        True"
       ]
      },
-     "execution_count": 155,
+     "execution_count": 21,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
-   "execution_count": 155
+   "source": [
+    "df_tests.head(7)"
+   ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
+   "id": "d5cd70c832e5ac2",
+   "metadata": {},
    "source": [
     "Male and female names in your dataset have very similar character transition patterns overall (global JSD ≈ 0.03),\n",
     "But for certain letters — especially a, i, n, u, g, m, e — the differences are statistically huge.\n",
     "These letters likely correspond to prefixes or suffixes that carry strong gender information in local naming traditions."
-   ],
-   "id": "d5cd70c832e5ac2"
+   ]
   },
   {
-   "metadata": {},
    "cell_type": "markdown",
-   "source": "## Letters frequency",
-   "id": "c49254df7eee9ae2"
+   "id": "c49254df7eee9ae2",
+   "metadata": {},
+   "source": [
+    "## Letters frequency"
+   ]
   },
   {
    "cell_type": "code",
+   "execution_count": 22,
    "id": "ffb0b937-fb9e-47d5-94c7-20afdf99560c",
    "metadata": {
     "ExecuteTime": {
@@ -1215,6 +1220,7 @@
      "start_time": "2025-09-25T20:27:29.397414Z"
     }
    },
+   "outputs": [],
    "source": [
     "def letter_freq(df: pd.DataFrame, col: str = \"name\") -> pd.DataFrame:\n",
     "    s = (\n",
@@ -1231,18 +1237,19 @@
     "    total = out[\"count\"].sum()\n",
     "    out[\"freq\"] = out[\"count\"] / (total if total > 0 else 1)\n",
     "    return out\n"
-   ],
-   "outputs": [],
-   "execution_count": 159
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 23,
+   "id": "4a0d8e2a74a6406c",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T21:39:15.252765Z",
      "start_time": "2025-09-25T21:39:15.191830Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "def plot_letter_grid(df_all: pd.DataFrame, use=\"freq\", sort_values=False):\n",
     "    \"\"\"\n",
@@ -1272,67 +1279,63 @@
     "        ax.grid(axis=\"y\", alpha=0.3)\n",
     "    axes[0].set_ylabel(\"Frequency\" if y == \"freq\" else \"Count\")\n",
     "    plt.show()"
-   ],
-   "id": "4a0d8e2a74a6406c",
-   "outputs": [],
-   "execution_count": 207
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 24,
+   "id": "9265e47639c4319d",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T21:39:45.123899Z",
      "start_time": "2025-09-25T21:39:17.350875Z"
     }
    },
-   "cell_type": "code",
-   "source": "plot_letter_grid(df_names, use=\"freq\")",
-   "id": "9265e47639c4319d",
    "outputs": [
     {
      "data": {
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       "text/plain": [
        "<Figure size 1800x500 with 2 Axes>"
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+      ]
      },
      "metadata": {},
-     "output_type": "display_data",
-     "jetTransient": {
-      "display_id": null
-     }
+     "output_type": "display_data"
     }
    ],
-   "execution_count": 208
+   "source": [
+    "plot_letter_grid(df_names, use=\"freq\")"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 25,
+   "id": "395dace523f1bed4",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T21:40:08.366997Z",
      "start_time": "2025-09-25T21:39:45.174312Z"
     }
    },
-   "cell_type": "code",
-   "source": "plot_letter_grid(df_names, use=\"freq\", sort_values=True)",
-   "id": "395dace523f1bed4",
    "outputs": [
     {
      "data": {
+      "image/png": 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       "text/plain": [
        "<Figure size 1800x500 with 2 Axes>"
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-      "image/png": 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+      ]
      },
      "metadata": {},
-     "output_type": "display_data",
-     "jetTransient": {
-      "display_id": null
-     }
+     "output_type": "display_data"
     }
    ],
-   "execution_count": 209
+   "source": [
+    "plot_letter_grid(df_names, use=\"freq\", sort_values=True)"
+   ]
   },
   {
    "cell_type": "code",
+   "execution_count": 26,
    "id": "98c7ed61-5c2d-4d9a-9d85-e4efe4bfc402",
    "metadata": {
     "ExecuteTime": {
@@ -1340,6 +1343,7 @@
      "start_time": "2025-09-25T21:35:00.831997Z"
     }
    },
+   "outputs": [],
    "source": [
     "def count_ngrams(df: pd.DataFrame, n: int, col: str = \"name\") -> pd.DataFrame:\n",
     "    # Normalize and clean\n",
@@ -1397,12 +1401,11 @@
     "        ax.tick_params(axis=\"x\", rotation=45)\n",
     "\n",
     "    plt.show()"
-   ],
-   "outputs": [],
-   "execution_count": 202
+   ]
   },
   {
    "cell_type": "code",
+   "execution_count": 27,
    "id": "412883b2-c1fd-483f-b61a-ba2bfc8b04e7",
    "metadata": {
     "ExecuteTime": {
@@ -1410,77 +1413,73 @@
      "start_time": "2025-09-25T21:35:03.778209Z"
     }
    },
-   "source": "plot_ngrams_grid(df_names, n=3, top_k=20, gender_col=\"sex\")",
    "outputs": [
     {
      "data": {
+      "image/png": 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",
       "text/plain": [
        "<Figure size 1800x600 with 2 Axes>"
-      ],
-      "image/png": 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LiTWLA+LIYkIfpx/P1YkIFRUVyMzMrHJeN2vWDBYWFtDQ0EBAQABOnTpVa/XwYqIIXLt2DWvXrkV2djbs7OwwYcIEvH79Gmlpaejfvz8AoF69eujUqRPU1NTQqVMnuddYXl7+myCqoqKCQYMGoUmTJkhJSUFOTg5GjRqFFi1aoFWrVkhOTsa8efMU8oWr165dg7u7Ox4/foyePXsiNzcXoaGhePv2rWwbLS0tdOnSBerq6nKvD/jQIJSVlWXNdM2aNZg3bx7y8/ORkJAgm3QDgJGRkUK/bDczM1N2ITUwMEBeXh7CwsKQn58va64aGhowMDDAhQsXZE1N3m9eCLVOTU1NzJ07F+bm5li5ciXi4+NRt25dLFmyBL1798bNmzfx4sUL9O/fH127doWenh5evHiB0NBQ5OTk1Gptv8fBwQF2dna4fv06QkND8fr1a4wYMQJ2dnYoLi7GrVu30K9fPwBA/fr1oa2tjezsbLl9j1bHjh2xdetWVFRUwNLSEsXFxTAxMUGrVq0wf/589OjRA5cvX8bu3bvRs2dP2NnZoUWLFqhTp45c6qtOdb0UALS1tZGYmIjCwkLUqVMH5eXlAICuXbtCTU1NYW8ECvWcEnOtYuj9TZo0wdSpUzF9+nRkZGRg7969sp8ZGxvD1dUVd+7cwblz52Tfn6YoYtif0jGWm5sreyOtQ4cOkEgkOHfuHAoKCmRvpjRp0gRNmzbFuXPnZH1Anj7+3p3Bgwdj4sSJ6NSpEy5evFjljfThw4ejvLwcERERcq/xY0lJSVi2bBnq1q0LNzc3NGjQAMePH68SYhs3bgxDQ0M8efJEId+BUl3fX7t2LSwsLLBjxw5ER0ejoKAAEokErVu3hqGhIVJSUmTfhyHPHvW5a5Smpib27NmD8ePHY/jw4bIFRDU1NZSUlCh0jloTOIvVLLFcjwFxZEZAHNc6QBzHXuj5Rqy5UUwZR6jjVIzZFhDXPEcsvRQQ7jj9lBj2qZiymLQGsWRxMWQxQNjjtLKyUnZOV1RUoLy8HMrKyrCxsUFaWhqio6Nl2zZr1gzt27eHhoYGzpw5g8jIyFqpSaVW/lVWY0JCQnDx4kXExcXB19cX8+bNQ4cOHWR3lBoYGAAAbt26BSsrK9ja2kIikcjti5Zv3LiBLl26yL58NDk5GY8ePcK7d+9gZWWF77//HgDg4+MDZWVl9OrVC8CHSWNQUBA6deok92bx8T5VU1PD6tWrsWHDBixYsAClpaXo3bs3WrVqBX9/f9SrVw9NmzaVa31SEokEly9fxsmTJ6GhoYE5c+Zg/vz5ePfuHQICAqCsrIzevXujUaNGePbsGYgIpaWlqFOnjlzv4vHx8UFkZCRKSkpgZ2cHe3t7rFy5EosWLUJpaSn69OkDXV1dhISEYMSIEejQoQPmz5+PsWPHonXr1n/7OqXnatu2bWFvb4/y8nKsXr0a69evR79+/VBRUYHt27fj+fPnMDU1BfDhQmdlZQV7e3t89dVXtVbb7ykvL4eKigqMjY0RFxeHsLAwlJeXY8aMGTA2Nsa1a9eQnZ2Nnj17AgAeP36McePGYcaMGdDQ0KjV2ujDI7yhpKSE9u3bY/PmzQgKCsL58+ehovLhsqempobZs2cjKCgI8fHxKCkpgbOzM7p374569erVan3V+Vwvff/+PcaPH485c+bgxo0bsLOzw4EDB2T78MGDB9DU1ERZWRmf+19IrULr/dJwJZFIEBcXh8jISLx8+RJLly6FjY0NlJSUEBwcDIlEAkdHRwAf7op0d3fH119/DVVV1Rqv6a8Q2v78XI3R0dGyL02fOHEiJk+ejB9++AEuLi6orKzE0KFDoauri5SUFIwcORLff/89GjZsKJf6pIgIEokEaWlpyM7ORuvWrWFiYgJVVVXs3r0b/v7+WLRoEZo3bw4A+Oabb6CtrS3XGj/28XzPy8sLbm5uWLx4MXx9fRESEoK3b9/C3NwcV65cgZWVFcaPH1/l96xtvzeHnjBhAlasWAFVVVXs3LkTSkpKGDRoELS0tNCsWTPs3r0bHTt2BCCfO2L/6Bo1b948PHnyBFFRUXBxcZFda588eQJNTU1Z6BUjzmI1S0zXY7FkRkAc1zoxHHsh5xtAnLlRbBlHiONUjNkWENc8R0oMvRQQ5jj9HDHsUyFnMTFncaFnsY8JdZxKez8A7N69G8nJyWjatCkmTJiAoUOH4vLlyzh27BjKysowcuRIFBQUICsrC4MGDUJ+fj6SkpJgbm5e4zVKSJHPNWG/a+vWrQgJCYGDgwP+85//ICMjAy1atMCsWbOgpKSEiRMnolevXrLH7oSFhUFFRUVuJ961a9ewadMmfPvtt3B2dkZSUhIcHBxgbGyMtLQ0tGnTBiNGjICDgwN8fX0RExMDX19fhIeHIzw8HMePH4eOjk6t1/mx6vZp8+bNsXLlSty/fx8BAQF49OgRmjZtCnV1dRw4cAB16tSR2xsCH7t9+zamTJkCCwsLJCQkoHnz5li2bBl69OiBTZs24fz587K7n5OSkrB//37o6+vLtcaYmBi4u7tj5cqVSE5OxvXr19G/f3+4uroiMTERu3btwuPHj6Gurg41NTUcP34c+fn5mDdvHrZt24avv/76b1+n9HzNzMwEESErKws3btzA2bNnsW7dOgwYMABhYWE4ceIExowZg2fPnuH06dM4fPgwWrVqVWt1/RmRkZFwd3fHsGHD8OjRI2RlZWHcuHGYPHkyysvLYW1tjf79+6OkpASJiYk4evSoLBTUJuk+jYuLQ3x8PB48eIAZM2bA19cXJSUlOH36tOx8fv/+PbZu3YrMzEx4eXnJ/c154I97aevWrfHdd9/B2NgYmzdvxsOHD2FgYAAlJSVcv34dhw8f5nP/C6kVEE7vf/v2LTQ1NWV/j46OhqurK7777jtoa2vD0tISbdq0QVFREY4cOYLg4GDY29vDwcGhxmv5Xwhlf1ZH2qsyMjJgY2MDBwcHPH/+HKmpqRg0aBAWLVqE2NhY+Pn5ITc3F1paWnj58iX27dsnW8CQF2mtERERcHd3h4qKCrS1tWFhYYGZM2ciMTERBw4cQHZ2Nvr374/S0lKEhYXh5MmTaN++vVxrBT4/h16wYAGUlZUREBCAmJgYqKmpQV1dHWFhYahTp45g5tCtWrWCpaUlbG1tsWXLFkRFRUFXVxcqKiqIjY3FmTNn0LJly1qv88/UKr1GmZiYYMOGDXj8+DEMDQ0BQGHXqJrCWaxmiel6LKbMCAj7WgeI69gLNd8A4suNYss4Qh2nYsu2gLjmOR8Tei8FhDtOP0fI+1TIWUzsWVzoWexTQhynFRUVspsxAwICcPDgQZiamuL58+d49uwZtm7dCm1tbezcuRPR0dHQ0tKS7b9z587h2LFjCA0NxZEjR2Q3ddQUXkwUqMLCQsydOxfW1tYYNWoUACAhIQHh4eEoLS3F2rVrkZ6ejsuXL0NZWRkLFiyAiopKlcFW2969e4fAwEDcuXMHRkZGePToEXr16gV7e3sQEX788UdkZGTAwsICAwcOhJOTE/Lz86GkpAQ/Pz+5vxH2uX16+vRplJWVYfny5WjYsCGeP3+O4uJi6OrqQklJSXaHojxIT/zS0lJcuXIF9+7dg5OTE8rKyjBr1iwUFRXhhx9+QPfu3fHTTz/B398fK1euxLfffiv7JIC8/PLLL4iOjoaBgQFmzpwJADh69ChCQkLQt29fzJs3DyoqKsjJyUFOTg50dXVRv359+Pr64uLFizh48CAaNWr0t65TerwjIyOxbt06qKqqom3btjAxMUFhYSHCw8OxYcMG6OvrY9OmTUhNTYWSkhI2b94s9/PnU8XFxXBxcYGRkRGcnJwAAKGhoYiMjETHjh1lE68zZ85ASUkJs2bNgp6entzqi4qKwuLFi2FhYYGvvvoKkydPhpKSEhYvXoyysjKEh4fLJilFRUUoKiqSy3iszh/1Umm4Njc3x6RJk7B37168efMGSkpKsLS0RLt27eRar5DPqU+dP38ekZGRMDQ0FHStQuv9FRUVuHDhAlq3bg0DAwO8fPkSHh4e6NevH2xtbVFQUIB79+4hKSkJenp66Ny5MyIjI+Hv7w83NzfY2trWeE1/hdD25+9JS0vDmTNnoKKigiVLlgAAjh8/jhMnTsDY2BguLi4oKipCVlYWioqK0K5dO4V92u/69euYNWsWli9fDgsLC/j4+ODy5cuws7PD9OnTkZKSAj8/P6SmpsLS0hJTp05FmzZt5F7n5+Z7Z86cQVlZGdzc3NC4cWPcv38fL168wJAhQ6CsrCzX+d6fmUOnpaVh7NixGD9+PPbt24f79+/j7du3WLBggVzfuPqr16g9e/YgNzcXSkpKGDdunEIWk2sCZ7GaJaa5gxgyIyCea52Yjr2Q840Yc6OYMo7Qx6mYsi0grnmOWHopwNm2Nggxi4k9i4shiwHCHae2trawsLCQHcf09HScO3cOAwYMgImJCZ48eYJ//OMfsoXubt26ISMjA0lJSdDS0sLYsWMBABs3bsSvv/4Kb2/vGl9MBDFBysnJoT59+tCRI0eqvH7p0iUyMzMjFxcXysrKqvKzsrIyudUn/X8VFhaSn58fOTo6Ut++fSk6Olq2zfv378nDw4Osra1l2z969IjevHkjtzo/9kf7dP78+ZSenl7lZxUVFfIskYiIYmJiaOnSpTRq1ChavHixrIZ3796Rvb09TZo0iZKTk4mIyNfX9zfjQB7y8/PJ09OTunTpQhs2bKjysyNHjpCVlRVt2bKFHj9+TERE//rXv8jNzY1sbGyob9++lJqaKpc6CwoKBF9nbGwsde3alYKDgykuLo6WLFlClpaWtHfvXtq6dSuZmZnRzZs3iYgoLy+PcnNza72mP6OgoIDMzc0pMDCwyuthYWE0YMAA+vHHHyknJ4eIiMrLy+VaW15eHk2dOpWOHj1KRB96UWpqKu3atYvCwsLI1taWLC0tqbKyUq51Veev9NKJEycqpCd9rKCggNatWyfoc0rq+vXrFBAQQF27dhV8rUTC6v0FBQU0YcIEcnNzo0OHDtGKFSto/Pjx5O7uTo8fP6aZM2eSubk5mZmZkb6+Ph05coRKSkro0KFD9OTJk1qr668Q0v78nOLiYtqyZQsZGRnRggULqvzsyJEjZGlpST4+PgqpjYiosrKySp/cs2cPrVmzhog+7MeJEyfShAkTyM7Ojvbs2UNERImJibRmzRr69ddfFVIz0Z+b7927d6/Kz+R5nfqzfX/dunU0YcKEKsegpKREbnX+lVqFco2qSZzFao5YcoOUWDIjkfCvdWLIYp/WK9R8QySu3Cim64fQ842Ysi2RuOY5UkLvpUScbWuDULOY2LO40LPYx4Q4ThMSEmS98OHDh6Snp0f6+vp0/vx52TaPHz+mNWvW0JAhQyg+Pp6IPvTPmzdvkp+fH3l4eFDPnj1/M1+tKfJ/Bgf7XUlJSbh9+zbKyspgY2ODxMREZGVlyX5uamqKZs2a4eHDhwgMDKzyM3mu4EvvuFVRUYGjoyMMDQ2hpqaGS5cuyZ7prKamhiVLluDevXuyL1dt166d3B+18Ff2aXBwcJWfyesxNdJ9lpGRgYULF6KkpAQNGjRAXFwcHjx4AODDF7wHBgZCXV0dK1aswO3bt+Hq6ir3xz9cvXpVdmeZg4MDTpw4gStXrsh+bmNjg4kTJ+Lnn3/G1atXAXz4ovjOnTtj+PDhOHbsmFzujnzw4AFyc3NhbGwMe3t7nDhxArGxsYKr8+LFi5gyZQpsbW3RrVs33Lp1C0pKSoiOjoa6ujrGjRsHR0dHJCQkQFNTE1paWrVeU3WkYzQzMxNZWVkoLy/H6NGjcfPmTWRnZ8u2GzduHHR0dHDq1CkcPXoUpaWlcv+eJGVlZeTk5ODNmzfIysrCwoULMX/+fOzbtw8+Pj4wNzdHQUEBpkyZIte6Plcr8Od66YMHD3DhwgXZf0tyfrBAdnY23r9/D1NTU8ycOVOw5xQAxMXFwcPDAxKJRNB9Sqi9X11dHTt37sSNGzewfv16tGzZElZWVoiNjcXIkSNRWlqK2bNn4+LFi5g5cyaio6NRt25dTJkyRSGfRJMS6v6srsanT5/ixYsX6N69O6ZNm4bo6GjExcXJtrOxsYG1tTUiIiJkd3HK+5yXSCSy74+Ij4/Hv//9bzx9+hRlZWUICAhA165dERQUhCZNmmDv3r1YvXo1evTogeXLl6NZs2ZyrRX4a/O9gwcPVvmZPK9Tf7bvu7m54eHDh4iIiJD9tzV+V2kN1SqEa1RN4SxWs8SSGwBxZEZAHNc6QBxZTEz5BhBPbgTEc/0QQ74RU7YFxDPPEUsvBTjb1kaNQs5iYs3iYsliQh+nJiYmqFu3Ln766SckJCQgKCgIRISUlBQUFBQAANq2bQsHBwcMHjwYc+bMwd27dwF8+FRoYmIiysrKavVR4fyYUwHZtGkTTp48CWVlZRgaGkJTUxMlJSVo164dJk2ahJYtW6KwsBCLFi1C+/btkZqaiilTpmDEiBEKqTc6OhqbN2+Gjo4OunXrhry8PLx58wa9evXCtGnTAHx4vMG0adOwePFi9OvXT+41immfpqWl4eeff0b9+vXh5OSE4uJiLF26FMnJydi3b5/suxiKioqwePFirFixQu7fObl582aEhIRAQ0MDOjo6GDJkCHJzc6t8T4NUdHQ0zMzMFBK0fHx8EBERgYqKChARunbtitatW+PcuXPw9PRE//79BVFneXk57OzsYGxsDFdXV6xfvx4AMGbMGPj7+8sCeMOGDTF8+HC5f1n2p86fPw9PT08AgKGhIRo1aoTCwkK0a9cOEydORMuWLUFEWLp0KdTU1ODk5KSwx/EFBgYiKCgIRUVF6NOnD0aNGoVJkyZh+fLlePPmDZYuXYq6desq5LsYPiWGXurn54fY2Fi8e/cOGhoaaNeuHbS0tBAVFYX169dXqUmR55TUnTt3EBoaisePH2Pw4MEoKChAeHi4oPqUVFpaGs6ePQt1dXVB9f7S0lKMHj0a79+/h5mZGYYPH46vv/4aBQUFMDAwkIX95cuXg4iwYcMGhe5HqbS0NPzyyy+yHiSU/QlU/4iyNm3aYODAgcjNzcW5c+d+M0ZPnjyJPn36yK1X7dq1C2/evMGyZctARCgrK8PUqVNhY2ODb7/9Fnfu3IGOjg42bdqEMWPGYOTIkTh48CAOHz6M1q1bw93dHS1atJBLrR8T03wPEEffF2Ot/yseRzVLLLkBEN+xF3puFEsWA8STb8SWGwHh9ygx5RsxZVtA+MdeSqg57FNiy7acxf53YsviYpxHCXWcSoWHh2Pp0qXw9PSEpqYm5s+fDxcXFzg4OKBBgwYAgIcPH+LKlSuwt7eXHX8iQmVlZa2OB15MFIjHjx9j7ty58PHxwYsXL5CYmIhHjx6hsrISjRo1wtOnT6Grq4snT56gsrISp06dwvz586GiogJfX1+515udnQ1ra2vY29vjwYMHeP/+PRo2bAgiQmFhIbS0tNC3b1+kpqbi6NGjCA8Pl/uJJ6Z9WlJSgu3bt+Pw4cMYOnQovL29AXy4gCxevBgpKSnYv38/OnToINe6PrZ7927s27cPO3fuRJ06dbB9+3a8evUKFhYWeP/+Pc6cOYN169ZVCYcA5P7c6xMnTmDHjh3w8/ODsrIy8vLy4ObmBmNjY7Rr1w6//PILPD09fzNhlXedUklJScjJyUHz5s0RGBgIGxsbmJqaYvny5UhISEDdunURHByssEU56YTrzZs3sLKywrx581CnTh3cvHkTmZmZKC8vh6amJt6+fQt9fX0UFhbiypUrCAkJkfvz7j9WUlKCjIwMFBUVoUePHrLJ1qpVq1C3bl2sXLlSEAsfYuilhw4dwo4dO7Bz5040b94cu3btwtGjR7Fr1y7ExcUhJiZGUOeUVHp6OkJCQpCRkYHBgwejuLhYMH1KKisrC9HR0di+fbsge39xcTFevXqFWbNmQV9fH87OztDW1sYvv/yC5ORkqKmp4cyZMzh69KhcvxP1c0pLS+Hv748jR44Icn8CH+4sdnJywtKlS9GmTRucOXMGDx8+xKhRo1BYWIjTp0//5g0seTp37hzc3Nzg7OwMZ2dnEBGsrKwwduxY2ffcnD59Gps3b0Z8fDyUlZXh6emJyspKLF68GOrq6nKvWUzzPUAcfV+Mtf6veBzVLLHkBkB8x17ouVEMWUys+UboufFjQu9RYss3Ysm2gPCPvZTQc9inxJBtOYvVLLFkcbHNo8QwTqUiIyOxcOFCrFu3DhoaGliwYAHmz58PBwcH1K9fv8q2FRUVUFJSkn1/bm3ix5wKwK5du+Dt7Q1jY2MYGhpi6NChsLS0hK6uLgDgm2++wYwZM6CiooJ+/fohJCQEANCgQQO5foRZuu6ck5ODoqIijB49GrNnz8aWLVvQq1cv5OXlQSKRQEtLC0lJSdi4cSOePXuGo0ePyn1yIIZ9+unH63v27Ilp06YhMjJS9vH6unXrwsfHBz179oSlpSUePXokl9o+VVFRgTt37sDV1RXdu3cHESE1NRXNmjXDxYsXoaGhgbFjx2LevHm4fft2lf9W3pOYBw8eYNiwYejZsyeMjIwwePBgBAcHIz4+Hq9fv8bo0aOrfAxcUXVK9enTBxYWFkhISEBeXh5MTU0BfHi8nK2tLcLCwhQaCCUSCeLi4rBjxw4MGDAA48ePx7hx4zBp0iTo6upCWVlZdgfs/fv3QUTYu3evQoM2AKiqqqJbt27o2rUrDhw4AG9vb6xduxYRERGwtrZWaNgSUy8FPvSoyZMno2fPnkhNTcXZs2fh5eUFdXV1NGnSRDDn1K5du+Dl5SX7e6dOnTBx4kTo6ekJrk8BwKNHj7B06VIUFhbCwcFBkL2/Xr16aNmyJbZt24Z79+7hp59+wp07d6Curo6HDx9CVVVV4eFFej69evUKJSUlMDExkV1L4+PjAQhnfwK//4iyBg0awNLSEi4uLkhMTFRIfaNGjcL27dsRGBgIPz8/SCQS6OrqyvazRCKBvr4+9PT0sHTpUqxduxbh4eGws7NTyEKiGOZ7gLj6vphqrSk8jmqWmHKD2I69GHKjGLKYWPON0HOjWHoUIJ58IyXkbAuI69gD4shhYsm2nMVqjxiyuNjmUXl5eSAimJqays59IY5TqeHDh8PPzw9r1qxBfn4+/P39ERAQgB07dqC4uLjKtsrKynJZSAQAxX1kgMno6Ohgx44daN++PUpKSqCqqorOnTsDAMLCwpCcnAxjY2Ns2rQJ9+/fx9WrV3Ht2jVERUXh2LFjcqtTIpEgIiICO3bswK+//oqvvvoKtra2aNWqFRwdHUFEuHHjBpo2bYouXbqgUaNGmDNnDho1aiS3GqWEvk9/7+P106dPx5o1a2Qfr69bty68vb2xatUquX4fx8eKioqQmpqKfv36ITc3FwcOHMCMGTNgYmKCVatW4dSpUzAyMsKqVatk+1neiAhEhPv376Np06ay10tLS6Gvr4/vv/8e8fHxmDx5Mho0aIBOnToppM5PSZt9y5YtkZubixMnTuDp06eIjY3FrFmzFPLm7Kfev3+PI0eO4Ouvv0ZhYSE0NTVhYGAAIkJYWBjS09NhZmaGAwcOoLKyUmHjtDpKSkrQ0NDAhQsX0LZtWwQHByv8E1Ri6aXSCdfz589hZGSEu3fvYsmSJXBzc8O4cePwj3/8A0lJSXB2dhbEOdW8eXP4+vqiQYMGcHFxAfD/ocvT0xPh4eEwNTVVaJ/6mPSxH9evX8fgwYPh6OgId3d3eHh4CKb3S3Xo0AH+/v5YsGABSktLAQC6urpwcXGRPWJDEaTX0qioKGzfvh2lpaWoU6cOOnbsCAcHB6xZs0ZQ+7O8vBxpaWkwNjYGAGzduhUDBw6UPaLs559/hrGxMWbPno1vvvlGITUCwLBhw+Dr6wtXV1fUr18f9erVg7e3Nx48eICGDRuiR48e6N27N5KTk1FUVIRDhw6hffv2CqlV6PM9KbH0fbHVWlN4HNUsMeQGKTEce7HkRrFlMTHmG6HnRjH0KLHlm08JMdsC4jj2HxNDDhNDtuUsJh9CzeKAuOZR0dHROHDgAPLz89G4cWPo6OjA1tYWq1evln0aVQjj9FPSR8EuXrwY69atw8aNG3Hs2DGoqqoqrihigvDPf/6TOnfuTD4+PlVeT09PJ1dXV1q1ahW9fPmStm/fTmZmZjR16lRKS0uTS22VlZVERJSTk0MDBw6k7du3k7e3NxkbG9NPP/1EL168kG27f/9+srOzo3Xr1lV5XRGEvE+JiGJjY6lr164UHBxMcXFxtGTJErK0tKS9e/eSv78/mZmZUVxcnNzq+SPXr1+nlJQUioqKorlz59Lt27eJiGj27Nk0fvx4mjFjBlVUVBARUXl5ucLqDAsLoz59+lBMTEyV14OCgsjR0bHKa4qs81Nv3ryhtWvXkrm5OY0bN45SU1MVXVIVly5dos6dO9OWLVuqvJ6enk5ubm7k4OBAhYWFsn4hNKWlpVRWVqbQGsTaSyMiIqhnz56kp6dHZ86ckb0eFBREdnZ2VbZV9Dl14cIF6ty5M23durXK6z/88ANZW1vT+vXrZcdB3rVWd26kp6eTh4cH2djYUFBQkCB7/8fu379Prq6uZGNjQxkZGYouh4iI/vWvf1Hv3r3p8OHDFBUVRWfPnqXu3buTk5MTbdmyRXD7MzExkX7++WdKSUmh2bNn06VLl4iIaNmyZTRo0CAaOnSows95qYiICDI0NCR9fX2ytbWlH3/8kczNzWn06NGkp6dHy5cvp5ycHEWXKej5npj6vphqrQ08jmqWWHIDkbCPvZSYcqOYsphY843QcqMYe5SY8k11hJBticRz7MWaw4ScbaU4i8mPELM4kTjmUYmJibJ5VHJyMgUFBZGenh6dPn2aPD09BTdOqxMREUF6enp08eJF2WuKmp/wYqKAREZGVnuhePr0qezPhYWF9PbtWyosLJRrbbGxsbRx40bauHGj7LXg4GAaPHgwBQUFVWm2hw4doufPn8u1vs8R8j718PAgLy8vIiIqKCggc3NzsrKyIhsbG9qzZw9t27aNevToQQkJCXKt63OkTWrRokU0f/58IiIqKioiR0dHCgsLk20nfWNAUfLz82n16tVkaWlJFy5cICKivLw8mjlzJi1btkyhtf2RsrIyysvLo7y8PEWXUq3PnU/379+nly9fKqgqcRFjL3337h1t3LiRhg0bJpts5+Xl0axZs8jNzU3B1f2WdJxu376dCgsLqbi4mBYuXEgnTpyQbaOoSVdsbCz5+flVeS01NZU8PDxo8uTJguz9nyouLqb3798rugyZPXv2kJOTU5XXMjIyyMjIiFxdXcnf35969OhBSUlJCqqwKunYCwgIIGtra9nry5cvp6CgICooKFBUadW6dOkSGRkZ0erVq4now3UqMzOTTpw4QU+ePFFscR8R8nxPTH1fTLXWBh5HNUcsuUFKyMeeSFy5UWxZTKz5Rmi5UWw9Smz5RsjEcuzFmsOEnG2JOIvJm9CyuJTQ51GBgYG0aNEiIiJ69uwZmZmZkZeXFz19+pT2798vuHH6OVevXhXEjSS8mCgw0hNw27Ztv/mZIi8Q0hXwb7/9lt6+fSt7/eDBg2Rqakq7d+9W+ITwc4S4T8vKysja2pp8fX2JiMjT05M8PT3p1q1b5OjoSJaWluTl5UVBQUFVmq8QBAcHk7m5Oe3cuZOmT59OEydOlN0FJZS7Nl+9ekWbN2+mrl270siRI8nCwoLGjBlDpaWlRCScOsXo48ks++vE2ktfv35NXl5e1K1bN7KwsKCRI0cK+pyS3sU5ZswY2SephNCnpMf/0/MnNTWVZs6cSePHj6eAgABB9n6hWrFiBdnb28v+XlJSQkREx44do++++44SEhJo48aNgtuf4eHhZG5uTsePH6fNmzfTgAEDBLU497ELFy6QgYFBtfMoIRHifI9IXH1fTLXWFh5HNUsMuUFKqMdejLlRbFmM883/Tow9Smz5RqjEcuzFnMOEmm2JOIux/yfUeRQR0bp168jT05OIiAYOHEirVq2iiooKioyMJBsbG4qPjxfkOP0cRS8o8mKiAF24cIH09PSq3GkiBNLHgEiDjFRwcDAZGRnR/v37BfkICCJh7lOxfrw+JyeHNm3aRJMmTSJnZ2fZZFtox76srIzu3r1LoaGhFBERIatP0U33SxAVFUV6enoUGBio6FJESay9VHpOhYSEiOKcSktLo23btlFQUJCsRiHs16ioqGrv2tuwYQMNGzaM5s6dK4hHR4pFdHQ09ejR4zePUzt16hSNHTuWSkpKBPPJl48J7RFlf0Q6jxJ63xfifI9IXH1fTLXWFh5HNUcsuUFKqMdejLlRbFmM883/Tow9Smz5RqjEcuzFnMOEmm05i7GPCXUeFRcXR3369CEjIyPy9PSUjcmTJ0+ShYUFlZSUKHzBU0x4MVGgkpKSBDmB+dxHl48dOyb4uziEtk+/hI/XS38HIe3X3yOEydaXIiYmhh4+fKjoMkRLzL30Y2I6p4TUpz6+a09al7e3NwUEBAi+9wtNYWEhrVmzhsaPH09RUVFE9OH6umXLFrKzs1PIY1T+LKE9ouyPiKXvC22+JyWmvi+mWmsLj6OaJabcIMRjL/bcKCX0eaNYrnNCJtYe9TGhj1OhEsux/1JymFCuU5zF2KeEOI8qLi4mLy8vGjx4sGycVlRUkK+vL9nY2Ijq3BcCCRERmGCVl5dDRUVF0WVUceHCBSxatAhz5syBs7Ozosv5y4S2T8+ePYsdO3ZgxowZePr0Kc6ePYtDhw6hTZs2ii7tTyEiSCQSRZfBmOiIvZey/01UVBRcXV3RpUsX1KtXD3fv3sWJEyfQtm1bRZcmOq9evcLevXtx/PhxdOzYESoqKrh//z4OHjyITp06Kbo8piBCm+8B4ur7Yqq1NvE4qlliyg1CPPZiz43s70HMPYr9b8Ry7DmH1SzOYqw6QptH5eTkICgoCKGhoejYsSOUlZV5nP6XeDGR/Veio6Ph7OwMV1dXzJ49W9HliFpubi62bduGhIQE1K9fHxs2bICBgYGiy2KMyQH30r+3W7du4fjx41BVVYWNjQ06duyo6JJEq7S0FCkpKbh69SoaN26MgQMH8purTJDE1PfFVOvfDR+bvyfOjUwsuEf9fYnl2HMOq1mcxZgYlJSU4ObNm0hISECTJk14nP6XeDGR/dcuXryI1q1bo3379oouRfTKy8vx7t07AICmpqaCq2GMyRP30r+3iooKSCQSKCkpKboUxpiciKnvi6nWvxs+Nn9PnBuZWHCP+vsSy7HnHMYYY38dLyYyxhhjjDHGGGOMMcYYY4wxxqrFt18wxhhjjDHGGGOMMcYYY4wxxqrFi4mMMcYYY4wxxhhjjDHGGGOMsWrxYiJjjDHGGGOMMcYYY4wxxhhjrFq8mMgYY4wxxhhjjDHGGGOMMcYYqxYvJjLGGGOMMcYYY4wxxhhjjDHGqsWLiYwxxhhjjDHGGGOMMcYYY4yxavFiImOMMcYYY4wxxhhjjDHGGGOsWryYyBhjjAlYZmYmZsyYge7du2Pw4MHYs2ePoktijDHGGGOMsS8eZzHGGGPs/6kougDGGGOMVa+yshKzZs1Cly5dEBYWhszMTCxatAja2toYPXq0ostjjDHGGGOMsS8SZzHGGGOsKv5kImOMMSZQr1+/RqdOnbB27Vq0adMGpqamMDExwY0bNxRdGmOMMcYYY4x9sTiLMcYYY1XxYiJjjDEmUM2aNcPWrVuhrq4OIsKNGzdw/fp19OnTp9rtKysrsWXLFhgbG8PY2Bg7d+7EsGHDkJSUBADQ09ODv78/jI2NMWfOHABASEgIRowYAUNDQxgbG8PDwwMVFRUAgGXLlsHb2xsLFy5Et27dYGFhgbS0NPj5+aFXr14YNGgQzp8/L5+dwRhjjDHGGGNywlmMMcYYq4oXExljjDERGDJkCKZMmYLu3btj+PDh1W4TFBSE06dPw8fHB/v378elS5eQnZ1dZZt//vOfOHr0KNzc3HDt2jWsX78eixYtQkREBDw8PBAaGoqYmBjZ9gcOHECfPn0QHh4OLS0t2NvbIycnB8ePH8eQIUPg7u6OysrKWv3dGWOMMcYYY0xROIsxxhhjvJjIGGOMicK2bdsQGBiI9PR0bNq0qdptjhw5goULF2LAgAEwMDCAl5cXiKjKNtbW1mjXrh10dXVRv359bNiwAebm5tDR0cGIESNgYGCABw8eyLY3NDTElClT0Lp1a4waNQpFRUVYtWoV2rdvj6lTp+Lt27d4/fp1rf7ujDHGGGOMMaYonMUYY4wxQEXRBTDGGGPsj3Xp0gUAUFJSAjc3Nzx9+rTK93XExMTg5cuXsu0AoF27dtDU1Kzy77Ro0UL2Z0NDQ9SrVw/btm3Dw4cPce/ePWRmZmLAgAGybXR0dGR/rlevHpo0aYJ69eoBAFRVVQEApaWlNfibMsYYY4wxxphwcBZjjDHGeDGRMcYYE6zXr1/j5s2bGDp0qOw1XV1dlJWVwcPDA+Xl5bLXVVQ+XNI/vfv1079LQycAxMbGwsnJCePGjcPAgQPh5OQEDw+PKttL/10pJSV+qAFjjDHGGGPsy8ZZjDHGGKuKFxMZY4wxgfr3v/8NZ2dnXL58Gdra2gCAu3fvolGjRlXuapVq1qwZUlNToa+vDwDIzs5Gfn7+Z//9kJAQWFlZwd3dHQBQXl6OrKws9O3btxZ+G8YYY4wxxhgTB85ijDHGWFW8mMgYY4wJVJcuXdC5c2esWLECy5cvx3/+8x94e3tjzpw51W4/depUbNu2Dc2bN0fDhg2xfv16AIBEIql2ey0tLaSkpODevXtQUlJCUFAQXr16xY/KYYwxxhhjjP2tcRZjjDHGquLPxzPGGGMCpaysjJ07d0JNTQ3W1tZYuXIlpk6dimnTplW7vaOjI4YNGwYXFxfY29vDzMwMEokEderUqXZ7Z2dnNG7cGNbW1pg+fTpUVVVhY2OD9PT02vy1GGOMMcYYY0zQOIsxxhhjVUno0wd4M8YYY0yUrly5AkNDQzRq1AgA8ObNG5iYmCAmJgY6OjoKro4xxhhjjDHGvkycxRhjjH3peDGRMcYY+0I4OTmhoqICbm5ukEgk8Pf3x7NnzxAaGqro0hhjjDHGGGPsi8VZjDHG2JeOFxMZY4yxL8Svv/4KDw8PXLt2DUQEExMTrF69Gtra2ooujTHGGGOMMca+WJzFGGOMfel4MZExxhhjjDHGGGOMMcYYY4wxVi0lRRfAGGOMMcYYY4wxxhhjjDHGGBMmXkxkjDHGGGOMMcYYY4wxxhhjjFWLFxMZY4wxxhhjjDHGGGOMMcYYY9XixUTGGGOMMcYYY4wxxhhjjDHGWLV4MZExxhhjjDHGGGOMMcYYY4wxVi1eTGSMMcYYY4wxxhhjjDHGGGOMVYsXExljjDHGGGOMMcYYY4wxxhhj1eLFRMYYY4wxxhhjjDHGGGOMMcZYtf4PVkS7p/ki+K0AAAAASUVORK5CYII="
+      ]
      },
      "metadata": {},
-     "output_type": "display_data",
-     "jetTransient": {
-      "display_id": null
-     }
+     "output_type": "display_data"
     }
    ],
-   "execution_count": 203
+   "source": [
+    "plot_ngrams_grid(df_names, n=3, top_k=20, gender_col=\"sex\")"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 28,
+   "id": "b4eda839e6cc5d8f",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T21:36:19.354244Z",
      "start_time": "2025-09-25T21:35:45.428602Z"
     }
    },
-   "cell_type": "code",
-   "source": "plot_ngrams_grid(df_names, n=4, top_k=20, gender_col=\"sex\")",
-   "id": "b4eda839e6cc5d8f",
    "outputs": [
     {
      "data": {
+      "image/png": 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",
       "text/plain": [
        "<Figure size 1800x600 with 2 Axes>"
-      ],
-      "image/png": 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"
+      ]
      },
      "metadata": {},
-     "output_type": "display_data",
-     "jetTransient": {
-      "display_id": null
-     }
+     "output_type": "display_data"
     }
    ],
-   "execution_count": 204
+   "source": [
+    "plot_ngrams_grid(df_names, n=4, top_k=20, gender_col=\"sex\")"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 29,
+   "id": "55605ab05b9a10bb",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T21:36:46.475564Z",
      "start_time": "2025-09-25T21:36:21.247703Z"
     }
    },
-   "cell_type": "code",
-   "source": "plot_ngrams_grid(df_names, n=5, top_k=20, gender_col=\"sex\")",
-   "id": "55605ab05b9a10bb",
    "outputs": [
     {
      "data": {
+      "image/png": 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",
       "text/plain": [
        "<Figure size 1800x600 with 2 Axes>"
-      ],
-      "image/png": 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"
+      ]
      },
      "metadata": {},
-     "output_type": "display_data",
-     "jetTransient": {
-      "display_id": null
-     }
+     "output_type": "display_data"
     }
    ],
-   "execution_count": 205
+   "source": [
+    "plot_ngrams_grid(df_names, n=5, top_k=20, gender_col=\"sex\")"
+   ]
   },
   {
    "cell_type": "markdown",
@@ -1492,6 +1491,7 @@
   },
   {
    "cell_type": "code",
+   "execution_count": 30,
    "id": "28fe77f9-f9b0-4267-9dbb-3969e04b83fb",
    "metadata": {
     "ExecuteTime": {
@@ -1499,6 +1499,7 @@
      "start_time": "2025-09-25T21:43:42.798968Z"
     }
    },
+   "outputs": [],
    "source": [
     "# tokens must include '^' (start) and '$' (end)\n",
     "tokens = [\"^\"] + list(LETTERS) + [\"$\"]\n",
@@ -1576,55 +1577,40 @@
     "        cur = nxt_idx\n",
     "\n",
     "    return \"\".join(out).capitalize()"
-   ],
-   "outputs": [],
-   "execution_count": 210
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 31,
+   "id": "a01eb547985d5a62",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T21:43:58.987200Z",
      "start_time": "2025-09-25T21:43:57.635944Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "# Example preparation and usage\n",
     "P = prepare_prob_matrix(transitions_male['df_probs'], tokens)\n",
     "generated_var = [generate_name(P, token_to_idx, idx_to_token, min_len=5, max_len=12, temperature=0.5) for _ in range(10)]\n",
     "\n",
     "names = pd.DataFrame(generated_var, columns=[\"name\"])"
-   ],
-   "id": "a01eb547985d5a62",
-   "outputs": [],
-   "execution_count": 212
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 32,
+   "id": "c5bcbff0204ceaa4",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T21:44:03.354829Z",
      "start_time": "2025-09-25T21:44:03.336042Z"
     }
    },
-   "cell_type": "code",
-   "source": "names",
-   "id": "c5bcbff0204ceaa4",
    "outputs": [
     {
      "data": {
-      "text/plain": [
-       "        name\n",
-       "0    Tolemba\n",
-       "1    Kalanga\n",
-       "2      Mbayo\n",
-       "3     Kukasa\n",
-       "4     Kadamu\n",
-       "5  Bongalula\n",
-       "6      Kanga\n",
-       "7   Mangonga\n",
-       "8   Kayalela\n",
-       "9      Mbalo"
-      ],
       "text/html": [
        "<div>\n",
        "<style scoped>\n",
@@ -1650,100 +1636,102 @@
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
-       "      <td>Tolemba</td>\n",
+       "      <td>Mambo</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
-       "      <td>Kalanga</td>\n",
+       "      <td>Mbanga</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
-       "      <td>Mbayo</td>\n",
+       "      <td>Bomanga</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>3</th>\n",
-       "      <td>Kukasa</td>\n",
+       "      <td>Kasala</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4</th>\n",
-       "      <td>Kadamu</td>\n",
+       "      <td>Mbiangonga</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>5</th>\n",
-       "      <td>Bongalula</td>\n",
+       "      <td>Mambe</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>6</th>\n",
-       "      <td>Kanga</td>\n",
+       "      <td>Mangi</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>7</th>\n",
-       "      <td>Mangonga</td>\n",
+       "      <td>Mbangando</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>8</th>\n",
-       "      <td>Kayalela</td>\n",
+       "      <td>Mulombe</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9</th>\n",
-       "      <td>Mbalo</td>\n",
+       "      <td>Kitoto</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
+      ],
+      "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"
       ]
      },
-     "execution_count": 213,
+     "execution_count": 32,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
-   "execution_count": 213
+   "source": [
+    "names"
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 33,
+   "id": "5d5ec37da189b7a8",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T21:44:29.411892Z",
      "start_time": "2025-09-25T21:44:29.403639Z"
     }
    },
-   "cell_type": "code",
+   "outputs": [],
    "source": [
     "P = prepare_prob_matrix(transitions_female['df_probs'], tokens)\n",
     "generated_var = [generate_name(P, token_to_idx, idx_to_token, min_len=5, max_len=12, temperature=0.5) for _ in range(10)]\n",
     "\n",
     "names = pd.DataFrame(generated_var, columns=[\"name\"])"
-   ],
-   "id": "5d5ec37da189b7a8",
-   "outputs": [],
-   "execution_count": 216
+   ]
   },
   {
+   "cell_type": "code",
+   "execution_count": 34,
+   "id": "f9da3dad4317ac10",
    "metadata": {
     "ExecuteTime": {
      "end_time": "2025-09-25T21:44:33.290488Z",
      "start_time": "2025-09-25T21:44:33.284314Z"
     }
    },
-   "cell_type": "code",
-   "source": "names",
-   "id": "f9da3dad4317ac10",
    "outputs": [
     {
      "data": {
-      "text/plain": [
-       "          name\n",
-       "0        Ngone\n",
-       "1        Kandi\n",
-       "2     Kangonga\n",
-       "3  Dangangandi\n",
-       "4       Kukale\n",
-       "5        Mando\n",
-       "6       Kasaba\n",
-       "7        Mambo\n",
-       "8     Mpolanga\n",
-       "9      Kangena"
-      ],
       "text/html": [
        "<div>\n",
        "<style scoped>\n",
@@ -1769,63 +1757,368 @@
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
-       "      <td>Ngone</td>\n",
+       "      <td>Mungu</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
-       "      <td>Kandi</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>2</th>\n",
-       "      <td>Kangonga</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>3</th>\n",
-       "      <td>Dangangandi</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>4</th>\n",
-       "      <td>Kukale</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>5</th>\n",
        "      <td>Mando</td>\n",
        "    </tr>\n",
        "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>Malusha</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>Mumana</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>Mbanga</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>5</th>\n",
+       "      <td>Nganga</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
        "      <th>6</th>\n",
-       "      <td>Kasaba</td>\n",
+       "      <td>Mbamba</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>7</th>\n",
-       "      <td>Mambo</td>\n",
+       "      <td>Lango</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>8</th>\n",
-       "      <td>Mpolanga</td>\n",
+       "      <td>Mumba</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9</th>\n",
-       "      <td>Kangena</td>\n",
+       "      <td>Mbango</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
+      ],
+      "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"
       ]
      },
-     "execution_count": 217,
+     "execution_count": 34,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
-   "execution_count": 217
+   "source": [
+    "names"
+   ]
   },
   {
+   "cell_type": "markdown",
+   "id": "a0ed137d-a75e-49eb-95b8-e3a2c65fa2a0",
    "metadata": {},
+   "source": [
+    "## Transition Probabilities (for surname)"
+   ]
+  },
+  {
    "cell_type": "code",
+   "execution_count": 35,
+   "id": "18bd2610-170d-47cc-926a-6cf9a126cef5",
+   "metadata": {},
    "outputs": [],
+   "source": [
+    "# Explode identified_surname into words\n",
+    "df_surnames = (\n",
+    "    df.assign(\n",
+    "        surname=(\n",
+    "            df['identified_surname']\n",
+    "            .fillna('')\n",
+    "            .str.replace(r\"[^\\w'\\-]+\", \" \", regex=True)\n",
+    "            .str.strip()\n",
+    "            .str.split()\n",
+    "        )\n",
+    "    )\n",
+    "    .explode('surname', ignore_index=True)\n",
+    "    .dropna(subset=['surname'])\n",
+    ")\n",
+    "\n",
+    "# Clean tokens\n",
+    "df_surnames['surname'] = df_surnames['surname'].str.strip()\n",
+    "df_surnames = df_surnames[df_surnames['surname'].ne('')]\n",
+    "\n",
+    "df_surnames = df_surnames[['surname', 'province', 'sex']].reset_index(drop=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 42,
+   "id": "e2e53f6e-4ae9-4ea5-9135-02d9f2a46554",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Transition probabilities for identified_surname\n",
+    "transitions_surname_both = build_transition_probs(df['identified_surname'])\n",
+    "transitions_surname_male = build_transition_probs(\n",
+    "    df.loc[df['sex'].str.lower() == 'm', 'identified_surname']\n",
+    ")\n",
+    "transitions_surname_female = build_transition_probs(\n",
+    "    df.loc[df['sex'].str.lower() == 'f', 'identified_surname']\n",
+    ")\n",
+    "\n",
+    "# Access matrices\n",
+    "P_surname_both   = transitions_surname_both['probs']\n",
+    "P_surname_male   = transitions_surname_male['probs']\n",
+    "P_surname_female = transitions_surname_female['probs']"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 43,
+   "id": "d339f85f-1a0f-4025-8185-63fe039b87e3",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<Figure size 2000x600 with 4 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Plot heatmaps for surnames\n",
+    "fig, axes = plt.subplots(1, 3, figsize=(20, 6), sharex=True, sharey=True)\n",
+    "\n",
+    "hm1 = plot_transition_matrix(axes[0], transitions_surname_male['df_probs'],   \"Male (surnames)\")\n",
+    "hm2 = plot_transition_matrix(axes[1], transitions_surname_female['df_probs'], \"Female (surnames)\")\n",
+    "hm3 = plot_transition_matrix(axes[2], transitions_surname_both['df_probs'],   \"All (surnames)\")\n",
+    "\n",
+    "# Shared colorbar\n",
+    "cbar = fig.colorbar(hm3.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": 44,
+   "id": "ab4176d9-e206-48d4-9a4e-d4e226f978fe",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 600x500 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Difference between male and female surname transition probabilities\n",
+    "diff_surnames = transitions_surname_male['df_probs'] - transitions_surname_female['df_probs']\n",
+    "\n",
+    "plt.figure(figsize=(6, 5))\n",
+    "sns.heatmap(\n",
+    "    diff_surnames.loc[list(\"abcdefghijklmnopqrstuvwxyz\"), list(\"abcdefghijklmnopqrstuvwxyz\")],\n",
+    "    cmap=\"RdBu_r\",\n",
+    "    center=0,\n",
+    "    annot=False\n",
+    ")\n",
+    "plt.title(\"Male – Female Transition Probability Differences (surnames)\")\n",
+    "plt.tight_layout()\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 45,
+   "id": "f210fbf7-a6c0-4661-b576-db1b3c488c63",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "transitions_both   = build_transition_probs(df_surnames['surname'])\n",
+    "transitions_male   = build_transition_probs(df_surnames.loc[df_surnames['sex'].str.lower() == 'm', 'surname'])\n",
+    "transitions_female = build_transition_probs(df_surnames.loc[df_surnames['sex'].str.lower() == 'f', 'surname'])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 46,
+   "id": "9527ec56-ebdf-465b-aa9c-52119987cba7",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1800x500 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plot_letter_grid(df_surnames.rename(columns={'surname': 'name'}), use=\"freq\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 53,
+   "id": "1028daaa-6b15-4c9b-b67a-583234a700b7",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<Figure size 1800x500 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plot_letter_grid(df_surnames.rename(columns={\"surname\": \"name\"}), use=\"freq\", sort_values=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 47,
+   "id": "f205e4a0-2565-47cb-829e-27c142062483",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1800x600 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plot_ngrams_grid(df_surnames.rename(columns={'surname': 'name'}), n=3, top_k=20, gender_col=\"sex\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 48,
+   "id": "1453f7ae-6bec-4cc7-9190-d0703412cafb",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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zz49FixZF1apVK9z9WKp3797Rv3//eP3112POnDn5jlNGSUlJtGnTJkaMGBGTJ0+Oq666qsIXiqVFd+ljs6L/zv/qEpVeSUlJ7v/9+/dPa621VurcuXPaaqut0q677pqGDBmSv3AZHn744VSrVq20xx57pC222CLVqVMnPfvss/mOlTN//vzUqFGjtNlmm6UqVark7r+l7+d8u+OOO9Kuu+6avvjii9yyt99+O2233XZp4cKFacmSJXlMt6zSPB9//HEaP3582m+//dJ+++2XHnvssTwny/bAAw+k2rVrp379+qX33nuvzLp8PQ5+aru33357KiwsTKeccsrPjs2HhQsXpmOOOSa1adMmXXDBBamgoKDCPSeVGj58eGrUqFF6/fXXU0opPfvss6mgoCA9+uijeU62rNKf8ZgxY9IJJ5yQjjrqqHTppZfmOdVPu//++1Pz5s1T/fr10957750effTR9N1336WU8vt4XXrb5557bmrUqFHafvvt03rrrZdOPPHE9OKLL+Yt24/NnTu3zPeTJ09Od911Vxo3blxasGBBnlIt67DDDkvXXntt7vuzzz47FRUVpebNm6fq1aunK664Io/pflrv3r1T06ZNU4MGDVLz5s3Tddddl+9ImV555ZV02GGHpRdeeCHfUZYxYsSI9OKLL6b//Oc/adNNN02dO3dOr776ar5jLaP0b/xFF12Uxo8fn+84y/Xoo4+mwsLCtN9++6XWrVuntdZaK917770ppYr1t75Up06d0oYbbpiqVq2abr311pRSqnCvSX9NDzzwQFprrbVSx44d02mnnZYKCgrSGWeckb766qt8R0sp/e8x8/TTT6djjjkmHXzwwalbt27p008/rZCPp5RSev3119Ntt92WzjnnnJRSxXw8ff/997n7b+7cualBgwapS5cuafr06XlOVtYDDzyQ6tSpk7p165Y6d+6ctt1227T33ntXmPu09D68//7708Ybb5x7L6NJkybpjTfeyHO6/6kM7xWUqmxz8KXdf//9uefT1q1bp9atW6eePXvmO1ZKqWK+V5Dl/vvvT3Xr1k3NmzdPzZs3T23btk3vv/9+SqliPJc+/vjjadasWbnvH3nkkbTXXnulPfbYI/39739PH374YUqpYmRN6X8/28cffzy1a9cu7bzzzqlNmzZp7NixeU62fL17907NmjVL++yzTzrssMNSQUFBhcv8wAMPpDXXXDOdd9556aWXXsp3nGU8+OCDqXbt2qlnz57pwgsvTFtttVXacsst08KFC/MdLdNtt92W1ltvvTRp0qR8R/lJpb/XEydOTM2bN08dO3ZMEyZMyHOqbE8//XTq2rVrat++fbrmmmsqzPNo6XPS1KlT0/PPP59GjBhR5jXpr0mZ+BvyyiuvpNNOOy2NGzcupfTDA+qkk05K22+/fbr99tvzmq30wbxgwYLUr1+/9K9//SullNLs2bPTiSeemGrXrp1Gjx6dz4gppZR7c/vee+9NBQUFqVmzZundd9/NPUlUlBeHt99+e9pxxx3TH//4x1yhOGbMmLTNNtukxYsX5zldtnvvvTetscYa6ZNPPknjxo1LHTp0SHvttVfei5of/wGYNm1aatKkyTK/M++8804qLi7OvMzq8umnn6Y333wzpZTSsGHD0t13352+//77dMcdd6QGDRqkrl275sZWlMdqSilNmjQp7bjjjqmgoCD16tUrt7wiZUwppauvvjqdeOKJKaUf7t+ioqJ00003pZRS+vrrr9OXX36Zz3jLePDBB1O9evXSsccemy6++OJUq1at1K1bt/T555/nO1oZU6dOTc2bN08DBgxIo0aNSnvssUfaaaed0tChQ3PPV/l+LAwYMCCtv/766T//+U9KKaV+/fqlwsLCClPa3Hjjjenkk0/OvWExcuTIVFhYmLbeeutUUFCQTj311DR58uQ8p0xp0aJF6dxzz80VCbNmzUrbbrttmjx5cnr77bfTLbfckqpVq5YuuuiifEct49FHH02NGzdOTz31VBo5cmS64oorUrVq1dIFF1yQ72hlfjeGDh2a9tlnn7TLLrvkno/y/btTasqUKamwsDDdeOONKaWUxo4dmzbaaKMKUSh+//33uf+//fbbqUmTJukf//hHHhOtmM8//zwNGjQoV8rNmDEj9e7dOxUUFKR77rknpVRxfv6lr4v+85//pBo1aqSGDRume+65J/e6qaLk/DW99957aeONN04333xzSumH1w21atVKvXv3znOyskaOHJnq1KmTzjjjjDR06NC0/vrrp5122in3xkhFUVJSkr799tu0zjrrpIKCgtSpU6cy6yqihx56KE2fPj2NHDkybbTRRumUU06pMIXizJkz0xZbbJF7Xfv//t//S+uss07q0aNHmXGr874t3dbS23zxxRdTUVFRuuWWW1JKP/wtKSgoSH/7299WW67lqSzvFSytos7Bl+eNN95IG2ywQRo8eHBKKaXXXnst1axZM1144YWrPUtleK9g6cdf6WPwiy++SMcff3y644470tdff50eeOCB1LZt27TddtulmTNn5iXn0iZMmJC23HLLdNxxx6Wvv/46vfXWW6lmzZrp4osvTn/+85/Tbrvtlg455JD03//+N+9Zl1b6Ia8rr7wyPfnkk+noo49OBQUFaerUqfmOlmn48OGpYcOGuZLmzjvvTAUFBemuu+7Kc7L/mTZtWmrUqFEaNGhQvqPkLP14mzVrVmrZsmW64YYbUkopvf/++6lx48bppJNOKnOZivT837Nnz3TqqaemlP73d6ui/A5lefHFF1Pz5s3TYYcdVuEKxYceeijVqlUrnXnmmenkk09O++yzT9p///1z78vk635d+gNYTZo0STvuuGNq1KhR2nHHHdPDDz/8q+dSJv5GPPDAA2nbbbdN2267bfroo49yy99444100kknpVatWq32vYEeeeSR3BNXSj+UnfXq1Utt2rRJY8aMyS1fsGBBOumkk1KtWrXSM888s1ozLq30l/H7779P//73v9PQoUPTFltskbbffvs0efLkzD8O+Xri+P7779P//d//pV122SUddNBB6csvv0zjxo1LzZs3L/PpmKUz5+OPW+k2i4uL07nnnltmb5V///vfeZ/MXHrppWm//fYrs2zChAmpVatW6f/9v/+XFi5cmAYNGpT23HPPtMkmm6R99tknffLJJ6s9Z0lJSZo/f37aZptt0kknnZSuv/76VFBQkHuDcf78+WnIkCEVrlAsfQN30qRJqW3btmnbbbdN++23X5mfd75+h7K2+9e//jV17tw5jR8/Pq255pq5N1xSSun6669P/fr1K/OmdD699tpraeONN85lnDVrVqpfv34qKChIhx56aJm9lvPptddeS9ddd10666yzcssWLlyY/vSnP1WYQnHOnDmpc+fOuTcFHnrooVSvXr106qmnpmbNmqWDDjooVzLmy8CBA1P9+vXTWWedlSZOnJgOOuigdOutt6Zvv/02PfDAA2mLLbZIXbp0Sa+88kpec6b0w8/373//eyooKEinnXZa6t69e5n1d9xxR6pWrVq6+OKL85SwrIcffjideOKJqV+/fmWWDx8+PBUUFKRhw4blKVlZ33zzTXriiSfSlltumdZcc80yH8DK93P9tGnT0qWXXpp7k6/0+XXpQnHKlCmrPdeQIUPSN998U2bZU089lVq0aFHmb3lFnFxPnTo1FRUVpRYtWqRRo0blln/22WcVtlBMKaXp06ensWPHpuOOOy5tvvnm6fbbb0/z589PKZXNWVH+lv4SP77fp0yZknbZZZeU0g9Fzfrrr5+6deuWW18RSqXPPvss7bDDDunqq69OKaX05ZdfpiZNmuTecCqV79+Jpe/bDz/8MG266aapWbNm6ZVXXqlQj/elvfLKK6lKlSq512X33Xdf2mCDDSpMofjKK6+kzTffPJWUlKT3338/NWnSpMzjc+zYsav95176AcmU/veYu/nmm9Nxxx2XUkq5nEu/jih9PsmHyvReQUWfg/+cRx99NO2www4ppZT++9//pqZNm5Z5vK6u1xSV5b2CH3+gcOLEiWnPPfdM+++/f66MSymlZ555Ju27775pu+22qxB71gwYMCDttttuqVu3bmnAgAHp8ssvz60bNmxY2meffVL79u0rTKH47bffpkMPPTT34YYPPvggbbzxxmUemylVrNdl/fv3zz2Hlu6dXvoe0rx588q8d5wvI0eOTC1btizz/sWPf9ar6z696KKLltmb75133kkbb7xx+vrrr9PHH3+cNthgg3TyySfn1j/66KMV7nXtIYcckg488MDc96X33zfffJPXo7KU5pgyZUq677770tChQ3PPRRVxD8XJkyenTTfdNP3zn/9MKf2wc8c666yTNtxww7Trrrum//f//l9KKX/PTePHj09rr712Gjp0aEoppXfffTcVFBTkPojza1Im/kY888wz6cADD0x16tRJI0aMKLNu2rRp6eSTT04bbLDBajukxauvvprq1atX5sXUBx98kDp06JAKCgrS448/nlL63y/dwoUL08knn5wKCgrycsjTpQ8ZeNFFF+We0ObPn58222yztN1226UpU6bkxj300EOrPWOp0vtsyZIl6f/+7//SzjvvnP70pz+l+++/Px122GHp3nvvTS+99FKaOHFiGjduXHr88cfTjBkz8pZ3woQJaaONNko777xzeumll8q8ECidzLRt2zY98MADqz3b5MmT07Rp08ose+GFF9IGG2yQTjjhhNS8efN06KGHpvPOOy/dfffdabPNNsvrG8tjxoxJDRs2TAUFBWVebKdUtlBc+pCn+TZixIi0xhprpP/f3n1HRXWtfQA+xwYIUhRUEKQXadKVIiIItmANqKiIRgUVY4lKsXdj1CT2EgsW7IhY0dgbAUHQ2I0gWLCigh34fX+wzs4Mg9Hv3us5w73vs9Zd62YYZTtz2t5v2WfPnkVmZiabvKakpMi9T8wWEbI3+z/++IOdH2lpabCwsADP86x6GqhIeOjUqRO+//570cb4OQcOHGAL9wUFBSwD/uTJk6hbty4GDx6Mx48fSza+8vJyvH//Hq6uruB5Hh07dpT7eXFxMbp27Qpvb2+sXLlSLvFEbB8+fMCZM2fw9OlTZGVlwdjYGL/88guAimpVTU1NBAQESN4mZM2aNTA0NMTo0aPRo0cPue83JSUFtra2CA8Pl3ycQMU5M2fOHNSuXRu+vr4KP09ISICqqipGjhwp/uBkXL16FZ6entDS0kJMTAx7vaysDOXl5ejfvz9CQkLw4cMH0RcGkpOTcePGDQDA+PHj2UJAamoqnJyc0KVLF7nJoNjjE37fw4cP4evrC11dXVaBVVpayibVx44dg6WlJTp37sxaSIshLS0NrVu3Vnj+EapQZRf3hX/LkSNHcOvWLdHG+E+uX7+OAQMGQEVFBVu2bAHw9zifPn2KuLg48DyPnTt3SjlMNqaysjK8f/9e7me9e/eGtbU11q9fzwIAS5cuVWjZXB3J3rOEKuG0tDSYmJjg2LFjMDU1xZAhQ9h5cP78ebRr106hHZ7YHjx4AHt7e7x8+RL379+HgYGB3CLogQMHJBydfACktLSUfbb5+flo1KgR2rRpg2vXrkk5xCpdu3YNs2bNUkhKUaaA4tWrVxEQEIDTp0+zQKJwHF++fBlRUVHIyckRbTxHjhwBz/NITEyUe33SpEn49ttvkZuby8YpHBcpKSmYOnUq3r17J9o4BdVprUCgzHPwz9m3bx86d+6Mu3fvwtDQUO56evr0acTHx+P+/ftffRzVYa0gKSkJ+vr6KCoqYuf0+vXr4eLigvr16yvMB48ePYp27drBxMQE+fn5oo5VIHsP/eWXX+Dr6wtTU1PMmzdP7n2bN29GmzZt0KVLF6V4Pnv58iXMzMxw7tw5PH/+XCFpaPXq1aw1q5Rkz/XJkycjKioKSUlJ0NDQYN0TgIoqxfj4eMm3y0hMTIShoWGVHRJ+//13PHz4UJRxFBYWIjw8XKHK9MmTJ/D398eWLVvQtGlTREZGsmP49u3b6NOnD06ePCnKGD9HqE6eNm0anJyckJaWJhfoLCgogK+vL+tmKAWhks7d3R2tW7dG7dq1WWJLRkYGLC0tERoaijNnzkg2RqDiOpWZmYmwsDAAFR0ezM3NMXjwYGzduhVNmjRB27Zt2Xz9a7tx44bCXGvVqlXo1q0bgIq5o5mZmVzF7NdcY6VgYjX0qaj3+fPn8c0338DHx0chyyw7Oxtz584VNWNC2B/k2rVrbMz5+fkIDg6Grq4umwzKtkD9/vvvRZ8kypYHa2hoYPr06XLZbsXFxbC0tISrqyu2b9+O+Ph41KxZk7WHkGKsubm5ePXqFcrLy5GYmIhWrVqhXr16qFmzJry9vWFgYABDQ0OYmJjA0tJS0sWL06dPw8/PDyoqKkhPTwcAuUng2bNn4e/vj+DgYMmyTU+fPg0PDw/2UPDbb79h6NChmDhxotxn17JlS4VgvRiEhe3Hjx9DV1cX9evXx/DhwxX2DykuLkZCQgJq1qwp6SK97GLQ2LFjWUsIoOKz7tq1K/z9/bFnzx4AwJQpUzB9+nRRrk+y18+4uDh4eHggMTERb968wePHjzF27FhYW1tj7ty5ePHiBdLT09GhQwc4OTkpxR5/gtevXyMrKwulpaXo0qULwsPD8fHjRxQXF6N58+bgeR5hYWGSZ3AWFhYiICAAFhYWSElJkRtPSUkJ/P390bZtW9EWlz/1eZSUlAAA5syZg/bt27MHr19//RX+/v4YMWKEqJ+l7O+SrazavHkztLW1oa2trVCFuHfvXjRv3hzdunUTva1kVZ9NUVER5s2bB57n5ap8BcuXL4evr6/k59POnTvRokULGBkZKWRqjh49Gv7+/qKPqaSkBIGBgdDQ0EBERATq1q0r952mpKTA3d0dvXv3Fm1fEeE7lm2lfvHiRZSXl2PNmjVwcHCAtbU1yx4vLS1lfyY1NRXNmzcXZeFP8P79e5bhnJWVxc7prKwsaGpqYubMmQoTsqFDhyI2NlbS5AZZV69eRb9+/ars3PH48WNMmTJFYZFTTMK5m5qaiqFDh8LX1xfr1q2TG1NYWBjs7OwQExODUaNGged5Scf8n5CXl4fp06cDqEiYMjExwePHj/Hy5Ut0794d6urqCA0NlfszcXFx8PX1xaNHj6QYMvPmzRs4Ojri559/hqmpKSIjI9k5fffuXfj5+eHw4cOSjE12L6quXbuiRYsW6Nq1K0tAFQKK/v7+kgfmZOXm5sLPzw8NGzZkx4VsAsr27dthYmKCfv364ebNm6KMqar76uPHj2FpaQme5xVas40ZMwY+Pj6iJqHdunULI0aMgI6ODquyBirOKR8fHzRu3JhtPVBeXo6ysjIMHz4cgwcPFn3huzqtFciqDnNwWRcvXmTnyLVr11CnTh3UqlVLIZkzOjoaHTt2FHUvWmVeK8jNzWXVZUIi/8ePH7F161bY2NggICBAYQuMgwcPomvXrnJVi1+b8Ewo+4wlfHZLly6FmZkZfHx8FLrrbN26FS4uLggNDVWK57Pw8HD88MMPMDQ0RFRUFBtTUVERQkJCsHr1asnnNrIddRISEmBlZQV1dXW5Fv8vX75Ehw4d2H7EUjp58iQLdFZeD4qMjMSMGTNEm4cL18jff/+dVce9ePECgYGB4HkevXv3lnv/uHHj4O7uLlrA81Pu3buH58+fsySs+/fvo2nTpmjbti0OHTqEly9fIi8vj8ULpKqkzMjIQP369Vl17I0bN8DzPKZPn86+44yMDDRo0ADh4eEKHWbEkpKSwp7phMTUb7/9Fn379mXnt7e3N+rVq4egoKCvnni8e/dulkQqO38dPXo0wsLCUFpayhJvhHFs2rSJJch/DRRMrGZkL6I5OTk4d+6cXJbOiRMnPtu24mteOIRMCOEALiwsZK3OhLHfu3cPHTp0gJ6eHgscir3gXXkB6Y8//oCurq5cNRIAdlMoKSmBu7s7nJ2dYWZmJsneVLKZjg4ODvjtt99QUlKC0tJSbNq0Ce3bt4eHhweePHkCoCJzvaysTNT90z7V3uXMmTNo0aIFjI2N2URVdkEyLS1N9Cwu2cDs+fPnYWBgAB8fH7lqWVkTJ05E06ZNRa/yFMYpZA4+e/YMqampMDQ0xKBBgxQCikBFwEGsDJlP+Vw2bGhoKMzMzBAQEIDatWsjIyND1PFNmjQJenp6OHz4MNvfAqjI1ho3bhwaNWoETU1NODo6IiAggB2vYj94yS7IP3v2DB8/fpR7qCoqKoK7uzu2bdsGoGKCNnToUKSmpoqewfmpB6jCwkK0aNECvr6+OHjwoNz7Xr9+Ldq5L/t7V61ahSlTpmDq1Kly75kwYQK8vb3ZvalLly5ye6KIea/Kzc1lC887d+5kD7RbtmyBnp4ehg0bppAosmvXLrRs2VLUoI3sZ3Lnzh2Fa9K0adPA8zzb/0hWVfslieHFixdyk75Dhw6hdevWCAwMZMG54uJi+Pr6ok+fPqKOTfD69Ws0btwYKioqSE5OBiD/7LJnzx60aNECffr0ES279M6dOwgMDERpaSm2b98ODQ0NFuRMSEiAh4cHevbsWWVAUczFX9nrdH5+Ptzd3dGhQwd2X1+wYAF4nsfUqVNx4cIF3Lp1C2PHjkX9+vUlqXqSfR65ceOGXAXn9evXERERAR0dHRZQlK0GlNru3buhoaGByMhIjBw5ElZWVujfvz/OnTvH3hMdHY2goCC4ublJ0u72P23OnDmwtrZGjx49UKdOHdZaCAA2btwIe3t79OzZE+fPn8fZs2cxduxYaGlpiVqZC8i3ZJT9/6NGjYKWlhbat28v9/64uDi4uLhI2vJsz549UFVVxZw5c5CYmIg+ffrI7UVVUFCAJk2awNXVVbTA3Jf48ccfYWFhATc3NzYPk1303rRpE+zs7ERZbBS+6xMnTmDKlCn46aef2H354sWL0NLSQmhoKFJTU3Hq1CmMGjUKmpqaoh2fsoHD3NxcjBo1CvXq1WMV2G/evEFQUBDU1dVx8OBBvHv3DkVFRYiLi0PDhg3lWqN+TdVtraA6zcGrsmvXLhgYGGD8+PHsHEpMTISKigpmzpzJ7o/jxo2Djo5OlfPf/zRlXysQzhnB1atXUbduXba10cePH7Fp0yZ4e3uzbXFkSVGNdvv2bYSEhACoSLTQ1tZmz12LFy+Gu7s7Bg0apJDYsHPnTtGD88L3/PbtW7nvetasWdDW1oa/v7/cnDwuLg5WVlaSJxFcvHgRPM9jyZIl7LU+ffpAXV2drRFdvnwZ7dq1g4uLiyTJ0unp6di+fTub3wAVQbnatWtj0aJFuHr1KvLz8zF+/Hjo6uqKsq4l+0z99OlThIWFQVVVlQUUb926hSZNmsDf3x+rV6/G3r17MXz4cGhpaYla1V+VmTNnwtPTE1ZWVujatSubF969exeurq6ws7ODpqYmXFxc4OrqKtm6FlCRMCRcA+7cucO6NwiEZILMzEzJCmKys7NRv359JCQksM/o6dOnsLOzQ0JCAoCKe354eDiWLFkiWmvrkJAQNGjQAElJSewZ5cyZMzAzM4O6urrC1jLDhw9H7969WdL8fxoFE6sR2Qt8fHw8uygEBATIZZQcP34c3bp1Q0BAgGiZUbI3W4GwmLRp0yaoqalh3LhxCgFFAwMDUR4GZY0aNQorVqyQ+zyXL1/O9jl5/fo1du7ciS5duqBZs2ZYsGABgIpJxfXr19kDrhQOHDgANTU1/PLLL3JtAEpLS7Fx40bW8lR2sirmg4Hwu3JycnD06FG50vS0tDR4enrC1taWLZBXnqiJLSkpCV5eXrh48SIuXLgAc3NzeHl5yU2y1qxZg++++w4NGzaUbGK4Z88euLu7Y+XKleyGtmfPHhgZGSEyMpItssTHxyu0C5LK57Jhc3JysHz5ckmqka9evYpmzZqxPceePXuG7OxsLFy4kD18PXnyBKmpqXKV1WJmQ+7evVsuGJicnAxPT084OzsjLi6OLaY8f/4cenp6iIqKwrVr1zB+/HiYmZmJfp0SjtXjx49j2rRpCA8Px6lTp9i16MGDB/Dw8ICvry9SU1NFDx7JThBiYmKgo6ODNm3aoHHjxrC3t2eLpykpKTA3N4eDgwOsrKzQrFkzSSZZb968QceOHWFoaIjVq1eD53ls2rSJ/Xzt2rVo0qQJxowZw3r1C77WA+PnxMTEwNjYGPXq1YOTkxN++uknljU+ffp01KhRg2UhyhL7WJg1axZ8fHxgZmaGwMBA1lo9OTkZ3t7eqFu3Lnx8fNCzZ0+4uLiw+5TY43z06BE8PDzQsmVLNGzYkFVzyd6f9uzZA2NjY0yePFmUMRUUFMDIyAh2dnbgeZ5NqASrV69Gq1at0KtXL7aYJtyzpHgWOXXqFNLS0rB06VJ4eXmhe/fubEFo2bJlMDAwQKNGjWBjYwNLS0tJE8WSk5Ph4OAAExMT2NraYtSoUew9165dQ0REBBo2bIiDBw+KPsZPyc7Ohrm5OdtH5OPHj9DU1IShoSFCQ0PlqmafPXsml7hTHckewxEREeB5HsHBwQoLysuXL0f79u1Rq1YtODo6wsPDQ/QgqjDWQ4cOYejQoejVqxd7Frt27RratGkDLy8vzJs3D4mJiRg6dCg0NTUlDfaWlJSgY8eO+OmnnwBUZNXL7pMmXEtyc3OVYsG2skWLFsHZ2RkDBw5kC+Gyz41iHv/JycmoW7cuWrZsCVtbW+jr6+P06dMAKoKM1tbWMDY2ho2NDby9vUX73gsKCqCiooK2bduy1+7cucMCihs3bgRQcSy4uLjAzs4OjRs3RkBAAAwNDUW7RlfHtYLqNgeXdfToUdStWxdr1qyRW8N4+/YtlixZgrp168LQ0BB2dnawt7cX9V6trGsFwrkUFBTEXrtz5w4iIyNRv3591mr148eP2LhxI7y8vNC5c2dRk8yrcuXKFWhoaMDDwwM8z8sl4wDAwoUL4eXlhe+++06S7TqOHTum8JwdGBgILy8vzJo1i70+YMAA2NjYoG/fvpg6dSr69u0LbW1t0TvDVLZ06VKMGDECampqqFGjBrufAhV76Dk4OKBWrVpo2bIlWrduLUlQaceOHdDS0oKZmRmMjIzk7gdTpkxBo0aNoKenB3t7e5iamor+bL5v3z6sWLECZ8+eRVhYGBo2bMgS5K5cuYJ27drBysoKtra2CAwMlDyQOGHCBOjp6WHHjh3Ys2cP2rZti0aNGsmtc50/fx6//fYbDh06xL5rqap8Fy5cyPYabNq0KYYMGcLWaVJSUjBs2DBJ5wsXLlzAmjVrMGbMGAB/ryG9fPkS/v7+CAkJQUZGBuLi4mBvb//Vk8T27t3Lnt8BoFevXtDS0mIBxSdPniAqKgqmpqZsXl5YWIj4+Hjo6el91QQsCiZWQzNnzkTDhg1x9OhRPH36FAMGDICmpqZcv+4TJ07A19cX0dHRoo0rPz8fffv2xcOHD5GcnAwtLS2WNbp161bUqlVLIaDo5eUFS0tLuZv21zZ79mx2oxd+765du2Bqaoq4uDjW7qNnz56YPn06eJ6XO4HFIvuQX15ezhaXK7ciEG4EZWVl2LZtG5o1a4bQ0FDRMtZnz56N+Ph49vuSkpKgrq4OKysr8DyPmJgYttBy/vx5eHt7w9HRUbJWAMJk69GjR/Dz85PL2hImCT4+PuzY2LFjB7777jvJ9mjZvXs3VFRUsGjRIoUs7KSkJLYg3q1bN9SoUUNpNisuLy9HWloa3N3dP5kNK5X8/Hw4Ojpi/fr1OHfuHL777jvY2dnBzs4OtWrVqjIgK2YFSHZ2NhwcHBASEoIHDx7g9u3b0NDQwMyZMzFkyBD4+fkhMDCQtblMSkqCiooKTE1NYWBgIMmCuDCOevXqoXfv3mjbti3s7OwQHx/PEksePHgALy8vODo6KrTsE8uLFy8QFhaG7OxsvH//Hn/99RdatGgBKysrVv27f/9+/PLLL5gzZw67voqduVdeXo4rV67AysqKZWkC8gk7a9asQZMmTTBu3Di5a4NYQRvZc2Ljxo0wMDDAzp07kZ6ejsGDB6NFixYYPXo0Xr16hbKyMsyePRs8z8tloYpt8uTJaNSoETZs2MCyId3d3Vkwef/+/fD09ISrq6tcJaUY162qrjFv377F06dPWTeHyhOC8vJyXLx4UdTjc/ny5eB5HpaWlnj58iUA+bGvXr0a/v7+6NSpk6SL/cePHwfP8zh8+DBKSkqwdu1auLu7o0ePHiwb//r160hLS8PZs2dRWFgo2VgPHDgADQ0NLF26FDdv3sTSpUvB8zyioqLYe65fv44ePXrA1NQUr1+/lryFFlDxTDdu3DiUlpYiLy8PJiYmiI6Oxo4dO6CmpobevXsrzR4y/0l//vknBg8ejLCwMLi7uyMuLk7hmfb169fIycnBw4cPFapBxHL48GGoqKggJCQELi4uUFdXZy2ns7Oz8f3338PIyAiurq7o1KmT6JWTlT1//hwmJiZIS0vD48ePFfai2rBhA3sWl2oRTDZgk5iYiL1798q17Z0/f77CQrgYCUmyf/fLly8xY8YMrFmzBkDF8dq3b1/UqVOHBRSfPXuGmzdvIi8vT/Q9TE+ePImmTZvKVcbKBhQ3bNgAoOL+t2/fPixYsAApKSlV7qX1tVSXtYLqNgf/lDFjxiAiIgLA388Tss8Vt2/fxtGjR5Geni5Kq+jqslYgnEsdOnRgr8lW+8oGFDdv3gxbW1tR14g+RdgCwcnJiX2GsmNauHAhfH19ERoaKmrw8+rVq+B5HmPHjgVQ8flqampi2LBhGD58OFRVVREWFsaSo+fNm4cePXrA29sbkZGRkrdwnzBhAho2bIjNmzdj9erV6NOnDzQ0NDB79mz2nsuXL+Pw4cO4cuWKJMnSb968QY8ePbBhwwY8ePAA+/btg6WlJdzc3Nh7MjMzcfToUfz++++iVXwJ53x2djZq166NxMRENhcPCQmRCygWFxfjyZMnePLkieR7TR45cgTNmzdnbW0PHDiAevXqwc3NDTo6Ojh27FiVf06MeeOnnnnS09Ph6+sLHR0dhev+6NGjERoayuaXYhLaqZubm4PneXTq1EnhPatXr4aHhwcaNmwIU1NTZGZmftUx3b9/H3Xr1kV4eLhcokKvXr2gqamJpKQkAMClS5cQHh4OHR0dmJubw83NDSYmJl99TZCCidXMpUuX4OHhwfazOHLkCNubw9zcXK60NSsrS9SHhV27dsHHxwctW7aEiooKe4ARLiRVBRQfPHgg2sbPlS9oR44cwbJly/D27Vs8ePAAcXFxcHNzw9ChQ9m+SXl5efDw8FCK6sk3b97A1taWVXZUvgkUFRWhvLwcO3fuFLUV56JFi8DzPGbNmoVHjx7Bzc0N69atw+3bt7Ft2zbUrl0bkZGRrFomLS0NdnZ2aNmyJdsLUGyHDh1CREQEunbtqnD8CZMEX19f9hlL1av7/v37cHJyYpOYDx8+oLi4GLt372aL36mpqYiOjkbfvn1FP04Fsg9g+/fvx+bNm9lE9eLFiwrZsGIGFKu6BhYWFqJLly5wdXVFzZo1MWLECOzbtw/Pnj2Dv7+/wubvUli5ciX8/PzQt29fzJs3j7W4BCqyJDt06AB/f3+WTZ6fn4/z589LtkCQlpYGIyMjtnhVXFwMFRUVmJubY8yYMSyocO/ePQQEBEgSZFi6dCn09fXh7+8v19KpoKCABRSravUk1Z4CDx48gIWFBYyNjWFvb8+CHbIVvuvWrYOKigomTJggWaB+9+7dWLhwodzeqEBFBaCjoyN27doFoKIqIyEhQbJF4IKCAri6uiIlJQVARdKVhoaGQrXkrl270LFjR3zzzTeiZZvKXqfS09ORkZEhN0EpKChAhw4d0LhxYxYIDw0NRWxsLHuPWMfpqVOnsHDhQtja2sLd3Z3dQ2V//8qVKxEUFCRZu8Q7d+4gKSkJc+fOZa+9f/8ea9asgbu7u1yFotSePHmCLl26sMqWBw8ewMTEhLX5E/YMA4CbN2+KtrDyJYqKinDnzh2UlpYiJCQEERER7HP19PREgwYNEBkZqTSf9b/q9u3bbA/EnTt3wsXFhU3qJ0+eDGdnZ8TGxsoFpMVsNS1LeB57/vw54uLisHz5cvYzoT3g4sWL2flaXFyMt2/fSvacK6u0tBRhYWGYO3cumjZtisjISDbOR48eoV+/fkhMTJRs7iD8zl27dqFx48ascs7f319ua5H58+eLthB+4MABuf/OzMxEo0aN0LJlS7k9swoKCtCnTx/UqVNHrmJNCuXl5Th9+jT09fXRrl079npVFYpSjE2WMq8VANVzDl5ZaWkpWrVqhb59+7LXZMcl1T2vOqwVfMm5JBtQ3LZtm+jbtciOVbB//35MnToVhoaGaNeuHavklX2OnDdvHgICAkT//rds2QJVVVVMmjQJmzZtkqvsO3v2LDQ0NNCzZ0+5INKHDx8kD9AWFhbC1dVVrtKzoKAAkydPhpqaGn7++ecq/5yY4z558iSr7BLOKaEVs4WFBVxdXUUbS1UuXLiAnTt3ys2tgIqEHCGgKCTtK8O18+nTp8jPz0dMTAyAin1Q9fT0sHz5cly5cgXm5ubQ09PDoUOHJBlf5Wp5IRj74cMHDBkyBI0aNcKSJUtQUlKCe/fuITY2Fg0aNJB8PfP169do2bIl9PT0cPLkSYVzJDc3FxcuXPjq16YtW7aguLgYBw8ehKmpKQYMGCAXHOzVqxfq1avHAopPnz5FWloa5s2bh71794qSgEXBxGpoxYoVePLkCU6cOIHGjRuz9kKdOnVCnTp18O2338q9/2vfJGQvpkJ2nouLC6tGkd1DcevWrVBTU8PQoUMluekK40hNTUWTJk3A87zcRsSVNx+fOHEibGxsRM9Yl82IlH2wsre3l1tYEn5248YNLFu2TLIN6VevXo0aNWogJiYGAwcOlCtNP3jwIOrUqSM3mUlPT5fsYRaoaF/A8zxq1Kght6+PIDMzEzo6OuzBXIr2bB8+fEBRURFMTU2xb98+lJWVYfr06fDy8oK2tjYaNGjAAkkfP36UfEPyXbt2QU9PD23btoWRkRFat27NFrHOnj2LVq1aiZ4NK3uNSUtLw6FDh1hw4OXLlzh79qzC99+iRQuFoIiYZL/HtWvXws/PD8bGxpg4caLc+/bs2YP27dvL7fEmpaSkJIwcORJAxSTW1NQUUVFRmDJlCtTV1eWq56QKzp07d45l6gkLvcIxUlBQwM4tMbKev8S7d+9QUFCAzMxM+Pj4oFmzZlUGFJOSkiTbI/XJkydQV1cHz/NybRkFfn5+6Ny5s8LrUlyvbt26BWtrawAV9wANDQ12jSouLsbatWvZ55qUlIT27dujVatWX71lkez9ZeLEiTA3N4elpSU0NTWxYMECdr7cu3cPnTt3Ro0aNeDi4gILCwtRAsjC+K5du4a0tDRWEX337l3Y2dnBzc1NLmh49OhRlJeXi9KipqrnyLy8PNSpUweqqqqYOXOm3PuEgKKnpyeCgoIkW/wTPlPhmrh48WLcunULjx49gr29PSIjI/Hu3TtMnDgRPM9Ltm+nLGHML168UGilXFxcDFdXVyxduhRAxaJqREQEfvrpJ1Grib6Ws2fPQl1dHS1atADP86xySjB58mS4uroiJiYGeXl5mDJlCqysrEQLom7evJlVRAjVylpaWrC3t2fJHAIhoLhs2TLJtm2Q3cPx3bt3cveDMWPGsIxw2ftcbGwsbGxsJD+ejh07Bj09PXasJycno169erC0tGR7VwMV8+F27dp91cWm8+fPQ1tbGw8fPmSfZ3p6OoKDg+WqEGWfc/r37y9ZFV3ludTp06dhbGxcZcvT+vXrK7Q/FEt1WSuornPwqsTHx8Pb21vuWba8vBx5eXmIjo5ma0piqg5rBYLPnUtCoqdUhPGePHkSS5YsYXuiXb58GQYGBmjXrh17DQAL1ItVNS08lwnXSiEQr6Ojw54jBefOnYO6ujr69eunVBW+T548ga6uLubPny/3en5+Plq2bAme5/HLL7+w18UOhpWXl2P79u0wNTWFrq6u3PO3EFBs1qwZLC0tRR2X4N27d7C2tgbP8+jevbvC53PlyhX07t0bNWvWlKwDlKzY2FiWgPHixQuUl5ejc+fOiI+PZ+/p1KkTjI2NFfbH/po+Vy0/btw4AGBJsfb29tDQ0ICXlxfMzc2V4rMFKlqtW1lZwdnZWZIxCetSQvL94cOHYWRkhP79+38yoCj7zCwWCiYqsc8F24YOHYrhw4ezxaTx48fDz88Pw4YNEzVQJ1xss7KyEBcXh5kzZyIoKAhdunRhC/ey2W8bNmyAnp6eZAu2GRkZ0NXVxZEjRzBlyhTwPI9FixbJTQ5+//13REVFoX79+qL2Pv9URqTQImnRokWwsbFRyC4aO3YsWrRoIWorJdkFsfLycmzevBk1a9ZEo0aN2MKicBweOnQI6urqCAsLE30/r/LycrmNc4VJ1h9//IGaNWuid+/eVWaQX7x4UW7POjGdPn0akZGROHPmDAYNGgRzc3Po6uqiS5cu+Omnn/DixQs0b94cw4YNk2R8lWVkZKBhw4aswufcuXPgeR4//vgje88ff/whWjas7LEJVFwbDQwMYGJigjp16iA0NFSu7UNJSQn++usvtG/fHs7OzqIHOoTzRDYwcOXKFZSXl2Pjxo2wtbWFk5OTQjXf3r172R4Y7969kzRL7sGDB7hx4wbev3+PDh06YODAgexn5ubm0NfXZ9VzYoyzqnvgx48fceHCBVhYWMjtdyKMJy8vD4MHD5Ys2CmM4+HDh3j27BlbhCwrK8Pp06fh4+MDOzs71jpt/vz5cvt3iDlGWVeuXGHHaOUFqilTpqBdu3aStjcWFvTfvn0LBwcH1hpeto3p1atX4ePjw/aXACoyArt16yZa94QZM2agUaNGOHnyJF6/fo3vv/8ePM9j4sSJcsfk+vXrsWLFCnad+prXK+H73r17N0xMTGBjYwM1NTVERESwzhL29vZwdXXF8ePHERsbi/r161dZ4fu15Ofns/3Bt2zZgrCwMKxYsQJ6enpylQ7CZ/j+/XssXboU/v7+olZOVg6u7tmzB/r6+rhy5Qo7P5YsWYKAgAC2KL18+XK4ubnBzMxMsipPWcnJyXByckLLli3Ru3dv9vq9e/fg4eGBUaNG4dixY5g0aRKsrKzkFgerOyFZ0snJib0mux3BjBkz4OTkxO53YiX5/PXXX7CxsVF4PujTpw94nsfcuXMV9kaLjY0Fz/NYvXq1qM8NlVve7t27F+3atUOnTp0wZ84c9npISAj09fUxevRozJo1CwMHDoSWlpbke1G9e/cOw4YNw+jRowFULPaYmJigW7du6N69O8zMzOQqFL/28f/+/Xv2O2SDMJmZmQgKCkKjRo1w/fp1APLPOZGRkaK3YxR+//nz57F8+XLMnj0bR48excmTJ2FtbY3AwED23tzcXAwaNAhGRkZ49eqVJM+2yrxWAFSfOfinPH78WC74umfPHpiamiImJoYdsx8/fsSUKVNgYWHx1Z8pqtNawb96Lr18+VLSiu6dO3eiXr16mD59ulw70MuXL0NfXx9BQUFIT09nrTrFCNQJ54hsYOuvv/5CeXk59uzZAzU1NYSFhbF5hOxnz/O83F5vUvvw4QMGDBiAkJAQhW1xhg0bxpK9q9rK5WuSPeaKi4uxc+dONGrUCMHBwXLvKysrw/Hjx+Hi4iJZssPdu3fh4+ODpk2bVtmyNicnBwMGDJAsgVdw9OhRODg4yCUFPX78GE2bNsWKFSsAVHQOCQkJwYEDB0Q977+kWn7QoEEAKq7xly5dwrp163DmzBnJ5jknT57EnDlzEBUVhczMTBQVFQGoWB+0tLSU60YiJuG6k5OTg+fPn+Ps2bMwMjJCRESEQkCxQYMG2LJli+h7IVMwUUnJ3pj279+PZcuWITExUe5Abt++PbsQCy2GZCeGYtzchN+VlJQEc3NzTJgwAQCQmJgIf39/dO7cWa5NWFZWlmgZ61W5desWJk+ezLIiAGDatGmoUaMGFi9ejOLiYrx48QJTp07Ft99+K0mZdVUZkUuXLkVZWRkePHiA6Oho2NjYoHfv3pg5cyb69esHTU1NVqUm9jiPHDmC0aNH488//8S2bdtQo0YNTJkyhR1/wvtSUlJEezgEKs4b2c8kKSkJ3t7esLCwwMSJE/HkyROkpaWhZs2aGDJkiFJll61duxZNmjTBDz/8gK1bt2Lnzp1YtmyZ3MJEt27dlKIdJ1Ax3oCAAAAV7cBMTU0xePBg9nPh4UCMbNjKE86VK1eyNgVFRUXYt28fgoKC0KlTJ7awtWjRIrRr1w6+vr6SbEQOVGSQBgYGorS0FNu3b4eGhga73q9fvx6enp4ICwtTyM49ePCgaMEO4J8rCoC/q5WEBbWHDx8iJCQEsbGxorU2raoi9dKlS2wRKDMzE6ampvD29lYIKAqk2CMRqLhOtmzZEjY2NnB1dcWmTZsA/J216evrC21tbbZQLOam77Kf69OnT/HixQu2p4GwGBAQEIA///wTJSUlrE1IWFiYaGOsbMWKFfj5559ZNcvs2bOhq6srV+n19u1bdOrUCe3bt1d4bqpcgfC1XLt2DZ06dcK+ffsAVARttLW10b9/f9SsWROTJk2qsspJjOM0NTUV2traWLlyJd6/f48DBw6A53n07NkTBQUFKCwshIuLC8zNzWFiYvLV94+Q9eHDB/Tq1QteXl4YPXo0eJ7HunXrUF5ejrVr16J27drsuRSQDyiKuU/Y4MGDMWDAAHa9uXv3Lnr27Mkm/YKhQ4fCw8OD/fe4ceMwZ84cSduECtemjIwMaGhoYOLEiZgyZQpMTU3h5ubGkhuWL18OS0tLGBsbo2nTpqIeB1+L7H1h586diI+Ph6mpqdxirWwm8B9//IFdu3aJVkWzb98+9vkDFa3mZT/3fv36QUNDA0lJSQoLDJMnT2aL9mLIzs4Gz/Msa/748eNQU1PDkCFDEB4eDhUVFfTv35+9PzY2FsHBwXB1dcXAgQMla3tV2bVr13D69Gm8fPkSrq6ubFEsJSUFderUQf369Vlyw9dQ1dw+NzcXtWrVwpgxY9hrmZmZ6NixI4yMjBQCilIlTO3cuRNaWlro1asXPD090aJFCwwaNAinTp2CgYGBXPVEXl6eZPvYVqe1AmWdg/+TpKQkWFlZwdraGm3atGFzgxUrVrDkpI4dO6Jjx47Q0tL6qlUh1XWtoLqcS4IzZ85UWSEpzCGuX78OQ0NDWFlZoUmTJqwDhhjy8/PRt29fPHz4EMnJydDS0mLBuB07dqBWrVqIiYlRmC+mp6eLnpRR2Y0bN+SCXtu2bYO1tTXGjRvHrvuvXr1Ct27dsGrVKoSGhqJPnz6iJiC/ePECHz9+ZPOp4uJi7NixA02bNkX37t3l3ltWViba867w779+/ToyMjJw6tQpABXrSPb29nBzc6tyfUXsYE1lCQkJGDFiBKKjowH8fT8vLS1Fnz590KxZM/z666/w8/ODl5cX+7mYcYEvqZYfPHiwaHPsf5KUlARtbW106tQJAQEB0NPTw8KFC9l3X1JSgmbNmsHU1FTUNRfBy5cv4eDggN69e6OoqAhnzpypMqDYsWNHGBsbi/6ZUjBRyVRVUWNkZISgoCD4+PjA1taW9T7/+eef4eTkhKCgIHh7e8POzo5dMMTMQNi3bx/U1NSwatUqufYzu3fvRmBgIIKDg3HixAlMnToVenp6om6kLOvly5dwc3ODnp4eyyoVTJ06FTVq1GB70xUXF0uy8augckZkjRo1WOvFx48fIyEhAd7e3vDx8UFISAguX74syTh37doFNTU1zJgxAxkZGQCAVatWoUaNGpg5c6bCZEasjMjCwkLWW/r27du4du0atLW1MWPGDIwcORJOTk7o0qUL7t69i/Pnz6NmzZoYOnSoZHvcVGXdunWwtbXF8OHDcfv2bfb606dPMWnSJOjp6Ym6EPRPlixZwvZKMjQ0lMvUO3DgAObNmyfKw+GwYcPY5F+4Fg4cOBDh4eFy7ztx4gRcXV3Ze4XKFuHPSNGCsaCgAEZGRrCzswPP80hISJD7+erVq9GqVSv06tVLkoy9f6ookK1A/fPPP2FjY4P58+fj9u3bmDp1Klq1aiXK9fRzFak9e/bE0aNHAVQstAn7nUhZNSdr7969UFdXx4IFC3Ds2DHW7k2o+C0vL8fNmzcRGxuLgQMHVpk1+bXIfq4zZsxAYGAgzMzMEBYWht27dwOo+O6NjIzQsGFDtGrVCt9++y2cnZ3ZxEvsjOhx48ahYcOG2LBhA0syuHnzJsLDw2FiYoJ+/fph9OjRaN26Nezt7dlxIMY+QpUndY8fP8aKFStQUlKCU6dOoUmTJux5ZMCAAayNrNjH6suXLzFkyBBMmzYNQEXSg7m5Ob799ltoaWkhODiYLa7l5ORI0nGiqKiItZ8cOnQoe/3Nmzf47bffUKtWLbk20WIvpG/ZsgV6enosOSQrKwuDBg2Cj48PW7ASjofU1FSoqqqia9euCA0NhZaWFq5evSrqeKuSnZ2No0ePYvbs2ey1W7duwd7eHs7OznItyy5fvqxU+zr+qypXf/z44484c+YMTpw4AWtrawQFBcm9Py0tTdRnh8LCQhgbG2PAgAHIycnB+/fvYWBggNDQULnE0169ekFLS6vKgKKY3r17h1WrVkFVVRVTp05FSkoK2yf048ePOHToEDQ1NeWqiT9+/Ih3795J3i3g6tWrOHXqlFyQODU1FW5ubmzem5aWhrZt22L8+PH466+/vuq48vPzsX37dgAV15c+ffpg0aJFUFNTk2txduHCBXTs2BFmZmaiPi9U5erVq3JVE1evXoWamhq7Np8+fRrm5uZo0aKFlMOsVmsFyjoH/yfZ2dlo2LAhZs6cibVr18LNzQ2mpqYsCeLYsWP4+eef0a1bN0yePPmrBmuq61pBdTmXgL+PvdmzZ7MknNevX+PQoUPo1asXgoKCWKXc27dvce7cOdEDtrt27YKPjw9atmwJFRUVts4qu0WTEFAU7vHKsF9ebGwsDAwM2B65QoXs6tWrWVC+S5cucHV1RfPmzQFUdDLz8PAQ7Z564MABBAUFwdPTEx06dGD3oZKSEuzYsQPGxsYICQkRZSyyKnddadasmULXFTs7O7i7u4vaaeVLdOvWDTzPw8fHhyWzCf+e06dPo0+fPnB0dESXLl3k5rVf279SLd+3b19WBSiF8+fPw8DAAGvXrgVQ8cxZq1YtNGnSBDNnzmTjFrZykKLdNlARF3Bzc8PAgQMVAoqyz/tSVHZSMFGJVL5Ybdq0CQYGBqxP+6+//goVFRU2gSgsLMSvv/6K3r17Iyoqit3gxJx0vX37FiEhIWzy8vr1a9y8eRPz5s1Damoq5s+fj86dO8PAwACmpqZs01qpZGVlwdLSEk5OTgrZBTNmzADP83Ktz6TwqYxInufx66+/yi1WlJWVSbYQfuPGDZiammLZsmUKP1u5ciVq1KiB2bNnS9b+ITMzE25uboiOjsaMGTMwY8YM9rN9+/bBz88PwcHBuHv3LtLS0thirVSLFn/99ZfCBGXt2rWwtrbG0KFDcevWLRw/fhzh4eFo0qSJJP27K7eBEbJfsrKywPM8VFRUMHbsWLmH7KioKISGhoqSKZOcnMzOByFpYeDAgejWrRsA+Yep+fPno379+gptqKT6/oGKyg6e52FpackWKGTHvHr1avj7+6NTp06iVfkBX1ZRILuXa3R0NJo2bYqmTZuiUaNGolSofGlFaseOHdk99cKFC9DQ0JALQEglPz8fAQEBLGnk/v37MDExgZOTE6tOlyXVdX/ixIlo0KABkpKSsG/fPrRp0wY6Ojrs879y5Qrs7e2hr6+Pc+fOye0BK6aVK1fCwMBA7jpZWlqK9+/f4+XLl/jtt9/g6emJ3r17Y/z48aK0DBXIntO3bt3CvXv35KqboqOj0bdvX9Z2KSYmBv7+/vD19RV9AeP9+/fYvn07bt++jWfPnsHZ2Zmd64mJieB5HkFBQaJejyr78OED/P394eTkhMDAQFbNC/wdUFRTU1NYGBbLvHnzYGNjA6AiI9fBwQHW1tZQVVVFamqq3HuLi4uxZcsWBAYGolevXpJkwVZWVFQEfX198DwvV/kE/B1QdHd3l6uQ+29RufrDw8NDofojNzcXEyZMkGTPtMzMTDamoqIiHD9+HGZmZlW2QNLV1cWWLVtEvRZX9fy/YsUKqKqqsuxvWYcOHUK9evXk2qRLbffu3dDQ0ICFhQVUVFSwYsUKlJaWYv/+/dDU1MTx48cBAHFxcYiIiPjqFc+fqsYGwJInZAOKWVlZ8PHxYQkzUi2Cp6amwtnZGUBFUoqxsbFcB5OMjAwcPXoUdnZ2ku+LWR3WCpR9Dl6VCxcuIDk5GZMmTWKvffjwAa1atYKxsbHcXEGs47S6rRUA1eNcqvz9LVq0CB4eHli4cCGCg4PRqVMnBAUFITIyEtra2pIkO8iOUWhj7uLiwgIGssGRrVu3Qk1NDcOHD5ck4biypKQkmJqaIjk5GQcOHICnp6dcZ5BTp07h559/RmhoKOLi4tgcIzw8HBEREaIkFu3evRvq6uqYOnUq1q9fj+DgYOjq6rK14JKSEuzatQv16tVDv379vvp4Kvtc15X8/Hw4OTnBwsJCKbYZ2Lx5M9uve/jw4dDV1WVJqJU9f/6cHbtiHa/VsVp+06ZNiImJAVBxLTUxMcH333+PuLg41KpVC3PnzpW7HkgpKysLTk5OGDhwIJ4/f44zZ87AzMwMPXr0YM8pUoyRgolKQraiRjjZhOoDAOxiK2QhvXr1qsoLm9g3uDdv3sDNzQ0jRozAs2fPEB0djdatW0NfXx+Ghob46aefkJeXh/T0dKW4EAMV2fOOjo4YNGiQQmuSH3/8UdIs8C/JiFy6dKmkWRyCI0eOwMrKSm4RUXbSsmnTJvA8j59++kmK4QH4e6HF2NiY3SwEe/fuRevWrdG1a1fk5uYiIyNDsu/++fPn0NfXR3x8vEJG/5o1a1C7dm2MHj0aq1atwvr16+UqFcVQuQ3Mrl270KJFC5iZmaFz587YuHEj1q9fD1VVVWzatAnv37/H/fv3ERsbC11d3a8+Sah880xISEC7du1w//597NixAzzP4/Tp03Lv2bZtG1q2bClZy+WqnDp1CgsXLoStrS3c3d1ZiwXZSevKlSsRFBQk6vX0SysKZCtAf//9d6SmpooSZPj/VqSOHTsWQMX16vr165IuCggePHiAyZMn4+HDh3jw4AGaNWuGIUOG4Pnz5+jZsyfbr0dKd+/eRcuWLVl1p/C9C5WTwiL1lStX0LhxY7Rv3x5FRUWSPNyOHDmStTK9efMm1qxZA1dXVzg7O3+yBZ0Yx4HsZxETEwMbGxvo6uqidevWrNqhTZs2bOwfPnxAly5dsH///ir/DjEIQc2NGzfC09OTBY63bNkCPz8/GBsbS774++7dOzx8+BCdOnVCmzZtsHHjRrmfL1y4EI0aNZIk4JWens7audWoUQO///47Dh48CDs7OwQHB7OKElllZWVyAWapHT9+HM7OzvDw8FDIzL99+zYMDAzg5+enVAvX/67PVX+kpaXB3NwcxsbGMDAwqPJ7FENVCwzK1AJJtopu27ZtCAsLw5o1a6ClpcVahMo6fPgweJ7H8OHDRR1nZWVlZXj27Bm8vb2xcuVK3Lp1C7NnzwbP85gzZw7Onz+PHj16wNDQEC1btoSGhoZowf9PVWO/ffu2yoBidna2qO3wq3L48GF07NgRubm5rIOJcM89c+YM4uPjkZeXJ2lLZ1nKvFYAVI85uKx3797BysoKPM/LVR8DfwcUraysWLKfmKrLWoFA2c8l2ar+FStWYMGCBVi8eDF69eoFd3d3REREsCSM8+fPw8PDQ5LqL2GcWVlZiIuLw8yZMxEUFIQuXbqwa7lsp5INGzZAT09Pkg4csrZs2YKlS5fKzQk/FZQXFBQUIC4uDtra2qK0Zc7Ly4O3tzcbY0FBAYyNjaGvrw8NDQ12nhcXF2PPnj2i7zv6ua4rnTt3Rl5eHvLy8uDp6SlZRZrgzz//hLOzM5o3b46UlBQAQP/+/WFtbY0NGzYo7OkpEPuZvLpUy2dnZ+P+/fu4d+8erly5grdv3yIwMFAuMb5JkybQ1tbGwoUL8fHjR8mDiYD8876QQGhvby9ptTwFE5VEVRU1sbGxmDVrFg4fPgwNDQ02oS0rK8PGjRvx888/y00KpTrIExISoKamBk1NTXTr1o215/v+++/h7++vFAu1lWVlZcHFxQWDBg2SvPVLZV+SEblq1SrJL2q7d++GkZERm8jIPnAdP34c165dw/bt2yV/6M7JyWH7o1V+gNq/fz+aN2+OXr16SZ5pdvz4cZiYmGDatGkKNwVnZ2fUr18fcXFxot94ZdvA/PXXX7hy5Qrq1auHmTNnYu7cuRg6dChUVVURGRmJ+fPng+d5mJubw9nZGebm5pJUUC5btoztMXj//n2MHDkSWlpa2L9/P/Ly8lBUVITAwEB88803kp5Hwu++du0a0tLS2B4Rwr6Dbm5uckHDo0ePirbn7L9aURAREfHVx1bZv1KR+vz5c7m/Q6o9Ep8+fcrOaWEyMGHCBHTs2JEljcTFxcHQ0LDKStqvqfIxcOPGDejr66OwsBApKSnQ0NDA8uXL2dhXrFjBJlx//vknjI2N4enpKeqYBRMmTICXlxdGjBiBFi1aoHv37hg+fDiGDRuGpk2boqCgQPRJluzv27JlCxo3bozk5GSsX78e48aNQ61atbBq1SocOnQIPM8jODgYjo6OcHBwUIrWStOnT4e9vT07d2JjY7F48WKlaRMMVFT4C/teCBm8kydPRv/+/SU5DgXDhg0Dz/NybccSExPh5uaGfv36yS3+SB2QE46xnJwcHDx4EHv27MGjR49w6tQpWFhYyLX3FN57586dr97aUWyfq/74888/UVxcjKNHj0re9q7yAoOytECSraIbNWqU3J6mQqKcbAtiwdGjRyVr4y8c02/fvsWbN28QHx8v97zwyy+/oEaNGli0aBEOHjyIFStWID4+XtTxfmk19siRI0Ub0+fk5uaibt264Hke33//vdzPRowYgaCgIKVIlJWlzGsF1WUOLuvu3btsP0IhKVa2esbBwQHOzs4sgUlM1WWtAKge55JQ1d+zZ0+0aNECQUFBCAsLU6jenzBhApydnfHkyRNRxyccd0lJSTA3N2d7aycmJsLf3x+dO3eWW4PLysoSbf79T169esU6RYwfPx7A3/+WDx8+wNfXFxYWFjh79ix7vbi4GMOGDYO9vb3c88DXsnfvXowZMwbx8fF48+YNCgoKYGVlhUGDBuHOnTtwc3ODvr4+S/KWYl7zJV1XOnTogHv37kl+zo8dOxY9evSAl5cX6tevDzMzM+zatQtAxb7YzZo1w6ZNm/D69WtJx1ldquV3794NfX19TJo0iX1md+7cgYODAw4cOACg4lm5b9++GDdunOiB7s/JysqCm5sbQkND8eLFC8kTsCiYKLFPVdTk5+cjKSkJPM+jdu3aWL9+PXvPy5cv0bZtW8TGxoo93E+6cuUKDh8+DODvhZDhw4ejX79+SpVdLSsrKwseHh7o1auX5BsoV6bsGZFAxYW38v4cglGjRmHSpElKE0jOycmBk5MThgwZovB5ilU99SVOnz4NQ0NDTJ8+nVUovn79GlFRUZg5c6ZkmVFCG5jhw4djwoQJrLILqNhYe9myZVBXV0diYiIuX76MhIQEHDp0SNJq5PXr16NVq1YIDQ1Feno6YmNjoaamBkNDQ9ja2sLJyUlhM3UxVe7Xb2Njo9CvX9jz4Pjx44iNjUX9+vVFzd5U9oqC6l6Runv3bnh7e8PS0hJTpkxhAYWuXbuyyjSg4nq6bt06UffmkX3YT0pKQl5eHp48eQJ/f39MnToVWlpaLJAIVGT59ejRQ25vzZycHDRr1ky0qrXk5GSsWLECiYmJSEpKQlRUFFq3bo0FCxaw6/6uXbvg5+cn6fd//PhxDBo0SC4g/+rVKyxatAh169bF1q1bsWPHDvTp0wdjxoyRpIV9VbKysqCiogJvb28EBARAU1NTKdpwVnbnzh1069YN9vb2cHNzg5aWFtLS0iQbz5s3b+Dv749BgwbB1tYWvXr1Yj/bvHkz3NzcEBERIfk2ALJ27NiBBg0asDbLPj4++OWXX3Dq1CmYm5ujXbt27L1SJ7Z9LZ+r/hg7dqyk7ZkqU9YWSF9SRVdVQFFKycnJaNeuHWxtbWFjY6NwnVu4cCFUVVXlWneJTZmrsT8lOTkZ6urqiImJwc2bN3H58mWMHTsW2trauHz5stTDq5KyrhVUlzn49evXkZGRgVOnTgGoqFASWmML1bKyAUUp5+PVZa0AUO5zqXJV/5UrV6Cqqoq4uDj2nnPnzmHEiBHQ1tYWJcBVlX379kFNTQ2rVq2Sm6fs3r0bgYGBCA4OxokTJzB16lTo6emxZFWp5efno2XLlrC1tVVowfjx40fY2Ngo7EP49OlTUfayvnDhAho0aIDt27ezBLOoqCh069aNBT369u2LmjVrwsDAAG/evJHsGbI6dF1Zt24dtLW1kZmZiefPn+Phw4cICgqCm5sbkpOTAVRUKOro6ODQoUOSjrU6VMsL5/zq1avlkgAvXboEAwMDJCQkIC8vD1OnToWvr6/kgbpPSU9Ph6+vr1LsT0/BRCUjW1FTWFiImTNnolatWjh8+DBu3bqFGzduICgoCK6urpJnSnzKtWvXEB8fDy0tLckfaD4nPT0drVu3VoqTsTJlzogUCJnF48aNw+XLl3H16lWMHz8e2traSjXpAqrH5wlUBBRNTEwQHR2NxMRETJgwAba2tqIGEqoi2wamcrCoqKgIAwYMkFsklYrsQ+natWvRunVr9OzZE8+fP0dOTg527NiBHTt2sEm2lNfRz/XrLywshIuLC8zNzeX2QhBDdawoqC4VqUDF+aSlpYXp06dj5MiRcHFxQffu3ZGZmYk1a9agTp06mDRpEiIiIqCrq4ubN2+KNjbZzyYuLg5NmjRhrWqGDBkCnufl9vQtKSlBx44d0b59e4XFKzH25QCAH374Abq6uvD29oaamhqCgoIwd+5cFjQU9hf+5ptv0LVrV8m+/4cPH8Lc3JxVd8t69uwZunbtihEjRgCQ/+yU5Xnv3Llz6Nu3L4YPHy5Kq6R/1b1797BmzRpMmzZNsuuRLCH7dc2aNbC2tkbv3r3Zz7Zs2QJzc3NERUUpRfJdVlYWdHV18dtvv7HFi/DwcLRp0waLFy/GqVOnYGxsDG9vb6mH+lX9U/XH999/j6CgIIUKd6kpYwskZd/TtLKMjAxoamoiKioKERERqF27NkaOHKkQSJgzZw60tbVFr6ipTFmrsatSWlqKdevWQVNTE4aGhmjWrBmaN28uSQeT/w9lXStQ9jm4kCzZrFkzhWRJOzs7uLu7swV8qZ/JBdVlrUCZz6WqqvqHDBnCfr5v3z4MHToUHTt2xKVLlyQZ49u3bxESEsKC8a9fv8bNmzcxb948pKamYv78+ejcuTMMDAxgamoqebLXkSNHsHv3buzZswfAPwflS0tL5eZiYp1bt27dwuTJk1mr4PLycrx//x6tW7eWm+8MHToUycnJkreLFShz15UJEybAx8cHZWVlLDB37949tGjRAiYmJiygOGPGDMnHq+zV8lWd83/99Rfmzp2Lo0ePom3btmjQoAEsLCygp6cn6prbv0KKCv6qUDBRCa1fvx4+Pj4IDQ3F6dOnMWbMGKirq0NPTw+urq5o1aoVu2AoQ9aZrAsXLqB3795o1qyZ3B5rykxZTsaqKGtGpKCsrAzbt2+Hjo4ODA0NYWFhAWtra6V4mK2Ksn+egoyMDLRq1QpGRkawtbVVmhtaTk4Oq6KrnEkYHx+P5s2bS/4wAygGFH18fNCzZ0+FDD4pr5+f69cfHBzMqh5ycnIkeeiujhUFyl6RClTsMTZjxgy5ydW+ffvQpk0bdO3aFdu2bcO8efPg4OCANm3aSJa1O336dOjq6iI9PR0vXrxgr/fp0weNGjVCdHQ0Ro0aBT8/P9jb27PPVexKjR07dkBfXx8XLlxAeXk5nj9/jkGDBsHX1xdr167Fq1evsH37drRr1w6Ojo6SjVOQk5MDc3NzuLi4KNwrv/vuO7Rv316ScX0p2Qki+f8pLi7G2rVrYWNjIxdQ3LFjh+R7sgg2b97MEpiE7/nhw4cICwuDn58fXr9+jWPHjsHGxkbyfdi+NmWu/vgUZWuBBFSfKrrbt29j8uTJmDNnDntt2bJlMDQ0RGxsrEJAUVmCycpWjf05BQUFOH36NC5evCh5MPZLKeNagTLPwT+XLJmfnw8nJydYWFhI2sWmKtVlrQBQznPpc1X9c+bMQXp6uqTJDm/evIGbmxtGjBiBZ8+eITo6Gq1bt4a+vj4MDQ3x008/IS8vD+np6ZIfn7GxsWjSpAmcnZ2hqqqK/v37s3PIzs7uk3tOirnG8fLlS7i5uUFPT08hMSg8PBwGBgbYtWsXhg0bBgMDA6V53gWUs+uK8Ow9ffp0uLm5sfuPMH89duwY6tati1atWmHfvn3sz0m5rqXs1fKfOucbN24MExMTLF68GCkpKdizZw9yc3MlG2d1Q8FEJVJ5AdzPzw+hoaF4+vQprl+/jtTUVKSlpbEFMGXJVJf15s0bnDp16r9+gUFMypoRKev+/fs4d+4czp8/r9APX9lUh88TqGh7l5+fL/niSmWXLl2Cg4MDIiIi5BIGhgwZgrZt20q2mXJlla+nrVq1kgsoSu1L+vUHBQVJ2lanOlUUVJeKVGHC1bBhQ4VW5Xv37oW/vz9CQkJw5swZANJtTv7s2TO0bduWfef37t3DsWPHMHjwYGzcuBF9+/ZF79690bVrV8THx7PPU4rP9ccff0SLFi3w4cMH9nxUWFiIHj16ICgoCPfu3cPw4cMxaNAgSccpKycnB82bN0d4eDgLFr969QpeXl5y+7KR/z4lJSVYu3Yt7O3t0alTJ6mHo0ColBSSWYRzJTc3FzzP49ixYwCgFEGqr02Zqz/+iTK1QJKlzFV0wr1ZV1dXYTFsyZIlaNKkCSZMmCD3DKlMSRXKVo1NxKNsc/DPJUt27twZeXl5yMvLg6enp9LMy2RVl7UCZfS5PR0DAwPlEhSlkpCQADU1NWhqaqJbt25ISEgAUNF5wN/fXykKNn788Ufo6+uzysjFixeD53l0794dBQUFKCgogKOjI0xMTCSv9MvKyoKlpSWcnJzkgnGXL19G586dYWxsDGdnZ6V8flLWriuXLl1CzZo1MXXqVLnXDx06hB49esDf3x9t27ZViq4mgPJXy3/qnI+OjkZgYKDk+zlWRxRMVDKfqqgR+k4L6GD/36KMGZHVGX2e/56srCzY29vDzMwMERERiIyMRIMGDSSroPoU2evp+vXr4evri5iYGLx7904pFoGqQ7/+6lJRAFSPilSg4vyxsrKCt7e3wqRl3759cHJyQlhYmKSTg+fPn8PAwAATJkzAyZMn0bNnT3h4eMDNzQ1NmjRh+yXKfuZif67C716wYAGaN2/OAq9C8CMjIwM8z+POnTt4/vy50nz/gqysLNja2qJx48b45ptv0L17dzg7O7P2pspwjSJfR0lJCZYtWwYPDw/Js94ru337NlRUVBSqzvPy8mBvb4/z589LNDLpKGP1x+co63OuMlfRCYuh3t7eCpWny5cvh6qqKqZNmyZ5MgohyuxLkiU7dOiAe/fuKfW5pKzX0OqgulT1X7lyBYcPHwbw99rq8OHD0a9fP8kDNPfv30f//v2xdetWABV7vuvo6GDSpEnQ0tJC9+7dkZubi9zcXPTt21cp5jY5OTlwdHTEoEGD5L7n8vJy3L17F0VFRdIN7jOUtevKunXrWIDuwoULLClr1qxZuHr1Kniex5EjR6QeJgDlrpYXKPM5Xx1RMFEJKXtFDSGEXLp0CRYWFjAyMsKcOXOUamN6WbLX07Fjx8LHx0e0fdy+lDL36xcoc0WBrOpy/8zJyYGTkxOGDBmiEFBMTU1VivPpt99+g46ODjQ1NTF+/Hg2WenTpw/Cw8MlHt3frly5UmXmZlpaGuzt7XH79m32mrJNFC9fvgxTU1O0atWKBWgBKNW5T76O169fK0V2flU2bdqEOnXqIDY2Frdu3cKjR48wYcIEGBkZSbr/HvnvoMxVdP90b/7tt99E3b+YkOqqOiRLkq+nOlb1X7t2DfHx8dDS0lKKgOfbt2+RlJSEoqIiZGRkwMTEBL/++iuAiiRKnufRpk0buYpEZQgoyu47qkxVftXZzp070bBhQxgaGrKWt2/fvkVeXh4sLS0lb8tambJVy3+Ksp3z1REPABxROgA4nuc5juO4hIQEbu3atZynpyc3bdo0rk6dOuxnhBAilczMTC4uLo7bvHkzp6enJ/VwPkm4nk6bNo3bsGEDl5WVxWlpaUk9LObixYucp6cn5+bmxqmqqnIZGRnc6dOnOUdHR6mHJic3N5f74YcfuFu3bnGqqqrcrVu3uNTUVK5FixZSD01Odbl/Xrx4kRs0aBDn4uLCjR49mrO1tZV6SAry8/O59+/fc5aWlhzHcVx5eTkXFBTEtWzZkps5c6bEo/tbQkICN3jwYG7EiBFcjx49OB0dHe6HH37gSkpKuBMnTnA1atSQeoiflJ2dzUVFRXGOjo7c+PHjOQsLC6mHRP7HAeC2bdvGDRkyhNPR0eFUVVW5N2/ecHv27OFcXFykHh4hX1V1uDcTUh3MmDGD2759O3fq1ClOR0eHi4uL45o0acJFRkZytWvXlnp45Cu7d+8el5eXx2loaHCGhoacrq6u1EOqUmZmJrdgwQIuOzub27JlC9e8eXOph8RxHMd9/PiRq127Njd37lzuzJkz3ObNmzktLS1uyZIl3B9//ME9ffqU279/v9LNcS5evMhFRUVxZmZm3JQpUzgbGxuph1Tt3b9/nysoKOA+fvzIeXt7czVq1ODi4uK45ORk7vjx41zjxo2lHmK1oqznfHVDwUQlJrsgOm7cOC4tLY07evQoV6dOHYlHRgghFd69e8epqqpKPYzPAsDt3LmTs7KyUsoHhvPnz3PLli3jtLS0uKFDh3J2dnZSD6lK9+/f51JTU7l79+5xPXv25KytraUeUpWqy/2zuky4SkpKuOzsbO7HH3/k7t69y2VlZXG1atWSelhykpKSuOjoaI7nea5u3bpcw4YNuRMnTnC1a9fmysvLlW6yLau6HAfkf8vdu3e569evc2VlZZyjoyNnaGgo9ZAIEQVdkwn591WXZEnyv+3t27fchQsXOBMTE87IyEjq4TDCXHbgwIHcrVu3uP3793N16tThQkJCuL59+3I9e/bkOI5TyjlORkYGN27cOG7Lli2cvr6+1MP5r3LlyhXuxx9/5A4cOMD9/vvvnJOTk9RDqnaU9ZyvbiiYqOSUvaKGEELIf0Z5eTnH87zSVM5Vd9Xl/qnsEy4A3MmTJ7kFCxZwHz9+5Pbu3cvVrl2bKysr42rWrCn18OQUFhZyjx494j58+MC5urpyNWrU4EpLS5Uu8FkVZT8OCCHkfwldkwn591WXZElClFVaWhrn6+vLWVtbc+/fv+dUVVWVMqmzsuqScF6dlJaWcpcvX+Y2b97MDRgwgK6nRFIUTKwGlL2ihhBCCFFG1eX+qewTrvfv33NXr17lmjdvXq0CdMqYrftPlP04IISQ/yV0TSbk30fJkoT8e7KysrikpCROU1OTGzNmDFerVq1qMxcj/3lCC1xCpETBREIIIYQQ8kWqW4COEEIIIYQQQv4bUCCRECI1CiYSQgghhBBCCCGEEEIIIYQQQqpEqeWEEEIIIYQQQgghhBBCCCGEkCpRMJEQQgghhBBCCCGEEEIIIYQQUiUKJhJCCCGEEEIIIYQQQgghhBBCqkTBREIIIYQQQgghhBBCCCGEEEJIlSiYSAghhBBCCCGEEEIIIYQQQgipEgUTCSGEEEIIIYQQQgghhBBCCCFVomAiIYQQQgghhBBCCCGEEEIIIaRKFEwkhBBCqom5c+dyPM9zo0aNknoohBBCCCGEEEIIIYSQ/xEUTCSEEEKqgYyMDG7lypWco6Pjf/zvBsCVlpb+x/9eQgghhBBCCKnuKKmTEEIIoWAiIYQQovRKSkq4Pn36cKtXr+Z0dHQ++/5z585xTk5OnKqqKufm5sYlJydzPM9z2dnZHMdx3IkTJzie57mDBw9yrq6unIqKCnfmzBnur7/+4rp06cI1atSI09DQ4Nzd3bnff/9d7u82MTHhZs6cyYWHh3MaGhqcsbExl5KSwj158oTr0qULp6GhwTk6OnIXLlz4Gh8FIYQQQgghhIiGkjoJIYSQChRMJIQQQpTc8OHDuU6dOnFt27b97HtfvXrFBQcHcw4ODlxWVhY3Y8YMLiYmpsr3xsbGcnPnzuWuXbvGOTo6ciUlJVzHjh25o0ePchcvXuTat2/PBQcHc/n5+XJ/7ueff+a8vb25ixcvcp06deL69evHhYeHc3379uWysrI4c3NzLjw8nAPwH/n3E0IIIYQQQojYKKmTEEII+RsFEwkhhBAltnXrVi4rK4ubM2fOF70/MTGR43meW716NWdra8t16NCBGzduXJXvnT59OhcYGMiZm5tz9evX55o3b85FRkZy9vb2nKWlJTdjxgzO3NycS0lJkftzHTt25CIjIzlLS0tu8uTJ3KtXrzh3d3cuJCSEs7Ky4mJiYrhr165xjx49+rf//YQQQgghhBAiBUrqJIQQQv5WS+oBEEIIIaRqBQUF3MiRI7kjR45wqqqqCj+PioriNm3axP67pKSEu3HjBufo6Cj3fg8Pjyr/fjc3N7n/Likp4aZOncrt37+fe/jwIVdaWsq9fftWYRIr2+KnUaNGHMdxnIODg8Jrjx8/5ho3bvyl/1xCCCGEEEIIUQpCUmdGRsYXvV82qVNVVZWztbXl7t+/zw0ePFjhvUJSp0BI7BTMmDGD2717N5eSksJFR0ez14WkTo7juMmTJ3PLly9nSZ0cx3ExMTGcp6cn9+jRI5qHEUII+Y+jYCIhhBCipDIzM7nHjx9zLi4u7LWysjLu1KlT3JIlS7j79+9zY8eO/Zf/fnV1dbn/Hjt2LHfkyBFu/vz5nIWFBaempsZ9++233IcPH+TeV7t2bfb/eZ7/5Gvl5eX/8tgIIYQQQgghRAqU1EkIIYQoomAiIYQQoqQCAgK4y5cvy702YMAAzsbGhouJieEaNWrEJowCa2trbtOmTdz79+85FRUVjuO4L86mPXv2LBcREcF169aN47iKSW1eXt6//w8hhBBCCCGEkGqCkjoJIYQQRRRMJIQQQpRUvXr1OHt7e7nX1NXVuQYNGii8LggLC+MmTJjADRkyhIuNjeXy8/O5+fPncxz39+TyUywtLbmkpCQuODiY43memzRpEk1ECSGEEEIIIf9TKKmTEEIIUVRD6gEQQggh5D9HU1OT27t3L5ednc05OTlxEyZM4CZPnsxxHFdlix5ZCxcu5HR0dDgvLy8uODiYa9eunVw2LiGEEEIIIYT8txOSOmX/9yVJneXl5dyQIUO4a9eucampqf/vpM7s7GwuJyeH/V2EEEKIMqHKREIIIaQaOXHixGff4+XlxeXk5LD/3rx5M1e7dm2uadOmHMdxnJ+fHwdA4c+ZmJhwx44dk3tt+PDhcv9dVYZs5b/LxMSkyr+fEEIIIYQQQv4bCUmdQ4cO5ZycnDgHBwdu8uTJXFhY2BcldQ4cOJDz8vLidHV1uZiYGO7Vq1cijZwQQgj5MjxotY8QQgj5r7JhwwbOzMyMa9KkCZeTk8NFR0dzfn5+3KZNm6QeGiGEEEIIIYT8T9i8eTM3YMAA7uXLl5yamprUwyGEEEL+LVSZSAghhPyXKSws5CZPnswVFhZy+vr6XEhICDdr1iyph0UIIYQQQggh/7UqJ3XGxMRwoaGhFEgkhBDyX4EqEwkhhBBCCCGEEEIIIeTfMG/ePG7ZsmUsqbNr167crFmzuLp160o9NEIIIeTfRsFEQgghhBBCCCGEEEIIIYQQQkiVakg9AEIIIYQQQgghhBBCCCGEEEKIcqJgIiGEEEIIIYQQQgghhBBCCCGkShRMJIQQQgghhBBCCCGEEEIIIYRUiYKJhBBCCCGEEEIIIYQQQgghhJAqUTCREEIIIYQQQgghhBBCCCGEEFIlCiYSQgghhBBCCCGEEEIIIYQQQqpEwURCCCGEEEIIIYQQQgghhBBCSJUomEgIIYQQQgghhBBCCCGEEEIIqdL/AR7C7A+wHIx0AAAAAElFTkSuQmCC",
+      "text/plain": [
+       "<Figure size 1800x600 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plot_ngrams_grid(df_surnames.rename(columns={'surname': 'name'}), n=4, top_k=20, gender_col=\"sex\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 49,
+   "id": "801a36c0-cf28-47ad-8e79-63726bc2ac03",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1800x600 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plot_ngrams_grid(df_surnames.rename(columns={'surname': 'name'}), n=5, top_k=20, gender_col=\"sex\")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "4a6dfe90-84d0-43c7-aea3-8646ae677ae7",
+   "metadata": {},
+   "source": [
+    "## Surname generation"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 50,
+   "id": "8b2185c5-474f-4181-a0ed-d01e4c986cfd",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "P = prepare_prob_matrix(transitions_male['df_probs'], tokens)\n",
+    "generated_firstnames = [generate_name(P, token_to_idx, idx_to_token, min_len=5, max_len=12, temperature=0.5) for _ in range(10)]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 51,
+   "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']"
+      ]
+     },
+     "execution_count": 51,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "generated_firstnames"
+   ]
+  },
+  {
+   "cell_type": "code",
    "execution_count": null,
-   "source": "",
-   "id": "c0524e989ea1c7b9"
+   "id": "597b151d-bdfe-4a6a-84ae-c9c9036f29e2",
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {