{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "96f684e1",
   "metadata": {},
   "source": [
    "# Задания: алгоритм k-ближайших соседей (KNN)\n",
    "\n",
    "**Тема:** алгоритм K ближайших соседей (K-Nearest Neighbors, KNN). Евклидово и манхэттенское расстояния, масштабирование признаков, как число соседей K меняет ответ.\n",
    "**Презентация:** `6.ml.knn.ru.pdf`. Решения — в ноутбуке `6.ml.knn.solutions.ru.ipynb`.\n",
    "\n",
    "**Напоминание.** Робот Бип угадывает, кто перед ним, так:\n",
    "1. **Измеряет** расстояние от нового зверя (жёлтая звёздочка ★) до каждого знакомого зверя.\n",
    "2. **Выбирает** K самых близких.\n",
    "3. Соседи **голосуют**: котик или собачка.\n",
    "4. Кого больше — тот и **ответ**.\n",
    "\n",
    "| Расстояние | Как считать | Пример: разницы 3 и 4 |\n",
    "|---|---|---|\n",
    "| **Евклидово** («как летит птица») | разницы возвести в квадрат, сложить, извлечь корень | $\\sqrt{3^2+4^2}=\\sqrt{25}=5$ |\n",
    "| **Манхэттенское** («как едет такси») | просто сложить разницы без минусов | $3+4=7$ |\n",
    "\n",
    "**Как работать.**\n",
    "* Сначала запусти ячейку подготовки ниже (Shift + Enter). Она рисует все картинки.\n",
    "* Задания 1–9 решаются на бумаге или в уме. Картинки помогают, а ответ записывай в ячейку «Твой ответ».\n",
    "* Задания 10–11 — с кодом на Python. Заполни места, отмеченные `...`.\n",
    "* Задания со звёздочкой ★ — посложнее.\n",
    "* Корни считай с калькулятором или в Python: `np.sqrt(13)`. Округляй до сотых."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5795b9e",
   "metadata": {},
   "source": [
    "**Ячейка подготовки.** Запусти её первой: она загружает инструменты и данные."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ba2bfbed",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:26.477675Z",
     "iopub.status.busy": "2026-10-22T02:10:26.477452Z",
     "iopub.status.idle": "2026-10-22T02:10:26.835368Z",
     "shell.execute_reply": "2026-10-22T02:10:26.834940Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Готово! Можно начинать.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.patches import Circle, Polygon, Rectangle\n",
    "from matplotlib.colors import ListedColormap\n",
    "\n",
    "ORANGE, BLUE, GREEN, YELLOW, RED, VIOLET = \"#eb6834\", \"#2a78d6\", \"#1baf7a\", \"#eda100\", \"#e34948\", \"#4a3aa7\"\n",
    "INK, INK2, GRID, BG = \"#1f2a44\", \"#52514e\", \"#e8e2d4\", \"#fff8ec\"\n",
    "LORANGE, LBLUE, LGREEN = \"#fbdccb\", \"#d6e6f8\", \"#d3f0e3\"\n",
    "plt.rcParams.update({\n",
    "    \"font.size\": 12, \"axes.edgecolor\": INK2,\n",
    "    \"axes.labelcolor\": INK, \"xtick.color\": INK2, \"ytick.color\": INK2, \"axes.grid\": True,\n",
    "    \"grid.color\": GRID, \"axes.spines.top\": False, \"axes.spines.right\": False,\n",
    "    \"axes.titleweight\": \"bold\", \"axes.titlesize\": 15, \"legend.frameon\": False,\n",
    "    \"figure.facecolor\": BG, \"axes.facecolor\": BG, \"figure.dpi\": 100,\n",
    "})\n",
    "\n",
    "\n",
    "def draw_animals(ax, cats, dogs, star=None, names=True, s=170):\n",
    "    \"\"\"Котики — оранжевые кружки, собачки — синие квадраты, новый зверь — жёлтая звёздочка.\"\"\"\n",
    "    cats, dogs = np.atleast_2d(cats), np.atleast_2d(dogs)\n",
    "    ax.scatter(cats[:, 0], cats[:, 1], s=s, c=ORANGE, marker=\"o\", edgecolor=\"white\", lw=1.5, zorder=3, label=\"котик\")\n",
    "    ax.scatter(dogs[:, 0], dogs[:, 1], s=s, c=BLUE, marker=\"s\", edgecolor=\"white\", lw=1.5, zorder=3, label=\"собачка\")\n",
    "    if names:\n",
    "        for i, p in enumerate(cats):\n",
    "            ax.annotate(f\"К{i+1}\", p, xytext=(7, 6), textcoords=\"offset points\", color=ORANGE, weight=\"bold\")\n",
    "        for i, p in enumerate(dogs):\n",
    "            ax.annotate(f\"С{i+1}\", p, xytext=(7, 6), textcoords=\"offset points\", color=BLUE, weight=\"bold\")\n",
    "    if star is not None:\n",
    "        ax.scatter(*star, s=520, c=YELLOW, marker=\"*\", edgecolor=INK, lw=1.3, zorder=5, label=\"новый зверь\")\n",
    "\n",
    "\n",
    "def grid_axes(ax, xmax, ymax):\n",
    "    ax.set_xlim(-0.5, xmax + 0.5); ax.set_ylim(-0.5, ymax + 0.5); ax.set_aspect(\"equal\")\n",
    "    ax.set_xticks(range(0, xmax + 1)); ax.set_yticks(range(0, ymax + 1))\n",
    "\n",
    "\n",
    "# Данные к заданию 1: звери на карте «размер — длина усов»\n",
    "star1 = np.array([4, 4])\n",
    "cats1 = np.array([[3, 5], [4, 6], [2, 6], [1, 7], [2, 8]])\n",
    "dogs1 = np.array([[5, 4], [6, 3], [7, 2], [8, 3], [8, 1]])\n",
    "print(\"Готово! Можно начинать.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e3380ac",
   "metadata": {},
   "source": [
    "## Задание 1. Котик или собачка?\n",
    "\n",
    "Бип записал для каждого знакомого зверя два числа: **размер** и **длину усов**. Получилась карта. Ночью прибежал новый зверь ★ с размером **4** и усами **4**.\n",
    "\n",
    "| Зверь | К1 | К2 | К3 | К4 | К5 | С1 | С2 | С3 | С4 | С5 |\n",
    "|---|---|---|---|---|---|---|---|---|---|---|\n",
    "| кто | котик | котик | котик | котик | котик | собачка | собачка | собачка | собачка | собачка |\n",
    "| размер | 3 | 4 | 2 | 1 | 2 | 5 | 6 | 7 | 8 | 8 |\n",
    "| усы | 5 | 6 | 6 | 7 | 8 | 4 | 3 | 2 | 3 | 1 |\n",
    "\n",
    "1. Посчитай **евклидово** расстояние от ★ до каждого зверя.\n",
    "2. Расставь зверей по порядку: от самого близкого к самому далёкому.\n",
    "3. Что ответит Бип при **K = 1, 3, 5 и 7**?\n",
    "4. Почему при разных K ответы разные?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9bf1c5fd",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:26.836650Z",
     "iopub.status.busy": "2026-10-22T02:10:26.836514Z",
     "iopub.status.idle": "2026-10-22T02:10:26.943866Z",
     "shell.execute_reply": "2026-10-22T02:10:26.943530Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 6))\n",
    "draw_animals(ax, cats1, dogs1, star1)\n",
    "grid_axes(ax, 9, 9)\n",
    "ax.set_xlabel(\"размер\"); ax.set_ylabel(\"длина усов\")\n",
    "ax.legend(loc=\"upper right\", markerscale=0.6)\n",
    "ax.set_title(\"Карта зверей\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9aed990e",
   "metadata": {},
   "source": [
    "*Твой ответ:*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5306f8e6",
   "metadata": {},
   "source": [
    "## Задание 2. Птица и такси\n",
    "\n",
    "Для каждой пары точек найди **евклидово** («как летит птица») и **манхэттенское** («как едет такси») расстояния.\n",
    "\n",
    "| Пара | Точка 1 | Точка 2 |\n",
    "|---|---|---|\n",
    "| а | A (1; 1) | B (4; 5) |\n",
    "| б | C (2; 6) | D (8; 6) |\n",
    "| в | E (0; 0) | F (6; 8) |\n",
    "\n",
    "Подумай: **в какой паре** расстояния птицы и такси **одинаковые**? Почему?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9069e715",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:26.945388Z",
     "iopub.status.busy": "2026-10-22T02:10:26.945280Z",
     "iopub.status.idle": "2026-10-22T02:10:27.006342Z",
     "shell.execute_reply": "2026-10-22T02:10:27.005976Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 650x650 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pairs = {\"а\": ((1, 1), (4, 5), \"A\", \"B\"), \"б\": ((2, 6), (8, 6), \"C\", \"D\"), \"в\": ((0, 0), (6, 8), \"E\", \"F\")}\n",
    "fig, ax = plt.subplots(figsize=(6.5, 6.5))\n",
    "for key, (p, q, n1, n2) in pairs.items():\n",
    "    for pt, name in [(p, n1), (q, n2)]:\n",
    "        ax.scatter(*pt, s=160, c=VIOLET, zorder=3)\n",
    "        ax.annotate(name, pt, xytext=(6, 6), textcoords=\"offset points\", fontsize=15, weight=\"bold\", color=VIOLET)\n",
    "grid_axes(ax, 9, 9)\n",
    "ax.set_title(\"Найди расстояния между парами\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "375ee1c7",
   "metadata": {},
   "source": [
    "*Твой ответ:*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b97750e",
   "metadata": {},
   "source": [
    "## Задание 3. Кто ближе?\n",
    "\n",
    "Звёздочка ★ стоит в точке (0; 0). Рядом два зверя: котик **К** в точке (3; 3) и собачка **С** в точке (5; 0).\n",
    "\n",
    "1. Кто ближе к звёздочке, если мерить **как птица**?\n",
    "2. Кто ближе, если мерить **как такси**?\n",
    "3. Что ответит Бип при **K = 1** в каждом случае?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2bae616d",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.007653Z",
     "iopub.status.busy": "2026-10-22T02:10:27.007558Z",
     "iopub.status.idle": "2026-10-22T02:10:27.041380Z",
     "shell.execute_reply": "2026-10-22T02:10:27.040940Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 550x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5.5, 4.5))\n",
    "draw_animals(ax, [[3, 3]], [[5, 0]], (0, 0), names=False, s=220)\n",
    "ax.annotate(\"К\", (3, 3), xytext=(8, 6), textcoords=\"offset points\", color=ORANGE, weight=\"bold\", fontsize=16)\n",
    "ax.annotate(\"С\", (5, 0), xytext=(8, 6), textcoords=\"offset points\", color=BLUE, weight=\"bold\", fontsize=16)\n",
    "grid_axes(ax, 6, 4)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b34e846a",
   "metadata": {},
   "source": [
    "*Твой ответ:*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e8006c5",
   "metadata": {},
   "source": [
    "## Задание 4. Круг и ромб ★\n",
    "\n",
    "Звёздочка стоит в центре клетчатого поля, в точке (0; 0). Точки ставят только на пересечениях клеточек.\n",
    "\n",
    "1. Сколько точек находится на расстоянии **не больше 3**, если мерить **как птица**? (Сама звёздочка тоже считается.)\n",
    "2. А если мерить **как такси**?\n",
    "3. Какая фигура получается в каждом случае?\n",
    "\n",
    "*Подсказка:* для такси считай по строчкам. В строке y = 0 подходят x от −3 до 3 — это 7 точек. Сколько в строке y = 1?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "114f1f5b",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.042652Z",
     "iopub.status.busy": "2026-10-22T02:10:27.042557Z",
     "iopub.status.idle": "2026-10-22T02:10:27.087357Z",
     "shell.execute_reply": "2026-10-22T02:10:27.086892Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 550x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = np.arange(-4, 5)\n",
    "GX, GY = np.meshgrid(g, g)\n",
    "fig, ax = plt.subplots(figsize=(5.5, 5.5))\n",
    "ax.scatter(GX, GY, s=35, color=\"#b8b0a0\", zorder=3)\n",
    "ax.scatter(0, 0, s=500, marker=\"*\", color=YELLOW, edgecolor=INK, lw=1.3, zorder=4)\n",
    "ax.set_xticks(g); ax.set_yticks(g); ax.set_aspect(\"equal\")\n",
    "ax.set_title(\"Какие точки не дальше 3?\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1e6eba3",
   "metadata": {},
   "source": [
    "*Твой ответ:*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9bdd06a2",
   "metadata": {},
   "source": [
    "## Задание 5. Граммы и сантиметры\n",
    "\n",
    "Бип записал вес зверей **в граммах**, а длину усов — **в сантиметрах**.\n",
    "\n",
    "| Зверь | Кто | Вес, г | Усы, см |\n",
    "|---|---|---|---|\n",
    "| Мурзик | котик | 4000 | 7 |\n",
    "| Барсик | котик | 4600 | 7 |\n",
    "| Тузик | собачка | 4100 | 2 |\n",
    "| **Пушок** | **?** | **4150** | **7** |\n",
    "\n",
    "1. Найди евклидово расстояние от Пушка до каждого зверя. Кто ближайший сосед? Что ответит Бип при K = 1?\n",
    "2. Теперь запиши вес **в килограммах** (4000 г = 4 кг) и посчитай снова. Кто теперь ближайший?\n",
    "3. Какой ответ правильнее? Почему так получилось?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "220ffb61",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.088604Z",
     "iopub.status.busy": "2026-10-22T02:10:27.088518Z",
     "iopub.status.idle": "2026-10-22T02:10:27.144233Z",
     "shell.execute_reply": "2026-10-22T02:10:27.143867Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(7, 3.6))\n",
    "ax.scatter([4000, 4600], [7, 7], s=200, c=ORANGE, edgecolor=\"white\", zorder=3, label=\"котик\")\n",
    "ax.scatter([4100], [2], s=200, c=BLUE, marker=\"s\", edgecolor=\"white\", zorder=3, label=\"собачка\")\n",
    "ax.scatter([4150], [7], s=500, c=YELLOW, marker=\"*\", edgecolor=INK, zorder=4, label=\"Пушок\")\n",
    "for name, x, y in [(\"Мурзик\", 4000, 7), (\"Барсик\", 4600, 7), (\"Тузик\", 4100, 2), (\"Пушок\", 4150, 7)]:\n",
    "    ax.annotate(name, (x, y), xytext=(0, 12), textcoords=\"offset points\", ha=\"center\", weight=\"bold\")\n",
    "ax.set_xlabel(\"вес, г\"); ax.set_ylabel(\"усы, см\"); ax.set_ylim(0, 9.5)\n",
    "ax.legend(loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "970c4135",
   "metadata": {},
   "source": [
    "*Твой ответ:*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "959843f4",
   "metadata": {},
   "source": [
    "## Задание 6. Ничья!\n",
    "\n",
    "Бип расставил соседей нового зверя по порядку, от самого близкого:\n",
    "\n",
    "**котик, собачка, собачка, котик, собачка, котик, котик**\n",
    "\n",
    "1. Что ответит Бип при K = 1, 2, 3, 4, 5, 6, 7? Заполни таблицу.\n",
    "2. При каких K получается **ничья**?\n",
    "3. Какое правило про K можно из этого вывести?\n",
    "\n",
    "| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 |\n",
    "|---|---|---|---|---|---|---|---|\n",
    "| котиков : собачек | | | | | | | |\n",
    "| ответ | | | | | | | |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ee5a1be2",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.145606Z",
     "iopub.status.busy": "2026-10-22T02:10:27.145512Z",
     "iopub.status.idle": "2026-10-22T02:10:27.170662Z",
     "shell.execute_reply": "2026-10-22T02:10:27.170293Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WXmCFzva9735bE8bfHnIKv327turXr7c25myRz++33Ma23B1Kz8hUTU3oTX8rVq5RekamNm3eGva6naRTxw4hgVmSEhMS1KtndxUWFsnn81luY+26bH00bWad9V/MX6z0jEzt3rMvXOU62pJlK7V2Xbb+50f/LsNo3PC7aMkKzfp8Xp31n2TNVnpGpvLyC8JVJs7hs9lfaPGyL0PW1Xq9ysj8ROkZmTp5stymypqGKe9nqnNax5DALEmxsbHqcFlqg7bxQeYMrduwMWRd2cmTmpoxTekZmeEqNWqUlJZq/YZN6t6ti3p072r5+urqaqVnZCp3+86Q9Xn5BUrPyNQnWbMjVOmlwfGh+UIdPpKnGVlzVFxSGlx38mS5/vqPNzQja47WZ+fYWN2lr13b5HrXl5SUyu12yWjANnbu2qMZWXNCZso4mpevV//1lmZkzanTeWGtvKJCO3ftUb9+feR2uy1fv3HzVn0654uQddtyd+iNt9M1I2uO9h88FKlSHePYseN6a/J7umfCOHVO69To969cvVYLFy8PWbdk2UpNzZimGVlzVHTseLhKdbRPZ3+hjI+ma9bn83Tg4OFGvXf+omVatWZ9yLqZWXM0bfqnmpE1RxWVleEs1VFKS8u0dVuuhl4xSIcOH1HWZ5/rw2kztHT5SlVXVzd4O5/OmquczdtC1qW/HwhrM7LmhLtsx1uy9Et5fT6NHnlLg15fXV2jGVlzQmbOkKTXJ03RjKw5IbP7OBGh+Tykv58pj9ut5s0T7S6lScretEW7du/VNVdded43kb359lSlprYPc2XOtnjZl0rPyNS/3nhXj//yWfXv10c/f+S/zmtbXq9Xr0+aorROHcJcpTOZpqlXX3tbSW3a6J4Jd4ZlmydPlmvy1A/VOa1jWLYXDVJT2+vIkTz5/aZWr83WY794Rv968135G3DGqz55+QX6eMZn7IMGOHjoiKTA+P/LX/9WR/MKVFVVrfSMaXrk57/SocNHzmu7X+Xu0MLFy9kH52nhkhWKi4vVTTdee97bWLp8pbZs/UqdOjr//weOv6a5IWq9Xn2Q+UnIumuGXqE+vXvWeW3ujl1asHiZfv7of+vtKRkXq0THKCw6pr//c5KaJybq4bOmaSouLqnzTeaIm4fVe0f0shWrtHnLNv322Yn61XMvRbxmp4iLjVVifIJqqmsk09TBQ0dUdOy4WrVqKUk6dPioFi0N/SbzrtvHqHU9d7XP/OxzFRYVaeITj+j5F/50UepvymbPna8tW7/SC88//Y2Xi23fsUtr1meHrDvXzA7pGZlyuQw9cN8E/fGVf4S9ZqcZNeImPfzg/SEf1Gd+9rmmvPeRLktJ0YTxt0uqO8tGXGys7r9nfL3bfOPtdHXokKoxo4brjbfTI/sPaOIqqwLfwu/es08vPPeU+vbpJUm6+87b9OgTv9ZfX31Df3rpOUmBEHb22avkpKQ6l3RIpz68v5WuK4cMVNcunRt95iDa7di5WwcPHdatI25WfHx8yO9mz12gY8fPnL3qktZJNw+7vs42yssrNHnqhxozeoQqyiv0lcPP/BKaFeh4Xz+tk5yUVCc0+3w+vT5psoYMHqDrr72K0NxIJSWl+s1Lf1ZVdZV+PfHxkEs3SsvK6uyDfn161QnN5eUVejf9A425dbh69ex+Uep2iuuuGRr8+aEH79evnn1RL7z8V736yktKSIhXXn5+nX1wy7Dr64Tm/IJCTfvkMz1w393nvPwGZxw+clRTMz7W7WNHqXevHt/42t1799fZB/d96646oXn7jl1asGiZHn/kvxQfz9SXDVHft2Djx43VZ3PmafGyL4OhecvWr5Q1a27wNS2aN683NC//crU2b96mF55/mrDWALExsZKknj26BQOzJLVu3UrDbrxWn3+xUHn5BUpNaa/VazeEXAbTo1uXekNz1qy5Kigs1NO/eFTzFy6N/D/CYRYsWiZJGj2q7qUZi5cs1+69+4PL110ztN7QPDVjmgzD0IMP3KNJb0+NXLGXCEKzpGYeT51piPrW8y1z1qy5yi8o1MQnHrlYpTlGWdlJPffCn1RUdFxPP/moLv/aNGetW7Wqsw/q+5/c1A+mSYahB+uZNgoNFxsTo5HDb9Jb776nnbv3aPDA/urUsUOdfdC6Vd1vmd98Z6pSU9rrrjvGqKCw6GKV3GRt2rxNNTU18vvNkBuVSkpK5DcD63r16K7rrhmqvr171tkHXw/MPp9Pr02aoiGDB+iG667mRtgLYBiGUtq1DV46IElXXjFILVo0Dy7HxsbUeV95RYXeSf9Ao0cNV+9ePQjNDZCS0k6S1KZN6zq/S24TmHq0uKRUqSntdfOw60NuSmvTuu578gsKlTn9Uz1w791q365tJEp2tOrqaq1YtUZdu6TVO8/47WNv1Yni4uByxw51z/ru2Llb8xYu0WM//VGdm82ditAsyePxWE5DVFBYpMzpWbr/nvFKad/uIlXmDOXlFfrNS39WXn6BnnrykXofbNKyZQvLfbBj527NX7BEPzvVQRsy6wPO7fSNlafnp01NaW+5D1asXKONm7boheeeatANhFC9QVhS4DIB01RiQoJiYgIPmenerYu6d+vyjdv7dNYXyssv0MQnfhqReqOJ3+/X0fwCJSefmS9+YP9+Gtj/mx++9F7Gx5JU735F/dq3a6v27duqqOhYnd8VHgusOz1v/7VXX2m5vUnvvKfUlHa6a9yY8BYaJVasWqvKyqpz3gA44pYbv/H9Pr9fr02arCGD+p/XA+OaKkJzA0157yOltG+nu+6ggzZGZVWVfvfyKzp0+KgmPvFTDRpw+Xlva9K772nQwOjqoOGwKWerBvTvGxJyS0pKNXfeIrVtm2x5ycBpXq9P70zJ0OiRt9R7vT/qd64gvHT5Kvn8vkbNG1xSUqqPps/U/ffcxYf3RqipqdX2HbvqfGCfNv1TFReX6Fvj72jwtvYfOKj16zfq0Z/8UImJ0fHtWrjcdcdYvfXue9q0easGD+wvSSo6dlzLV6xW/8v7Nvhyr/XZOcovKNTv+PB+3hYuXq7Y2BjdNOy683r/F/MX6/iJYv3i8Z+EubJLm+ND89x5i1RQVCS/P/AQgb37DwZPkd5w7dUNmpdQCpwK+t2zE3lqVCO9PmmKduzcrX59eilnyzblbAmdKujeu+9UQkL8Od4d6viJYj3z1OORKNPRNm3eqknvTlWXzmlKatNaJ4pLtGFjjtq1bavHH/lRg+cxr6mpUUJ8nB76t/siXDHO5URxidI6dWz0o7ejnWFIn3w6W+9O/UBdO6cpLi5WO3ft0d79B3X3nbdp3G23NnhbBQVFGjyov4bdcP6zDUSr28eM1KFDR/TiH/6ma6++UnFxsVq7LlspKe30sx//Z4O3k5dfoNGjbqn3MkpYO3I0X1/l7tDIW4ad92UVefkF+u4D9yo1JbpmsXL8Y7SXLl95zvlLh14xWF06f/N8qYePHNXqtRuUnJSkW24KvQj+8y8Wql3bZA29cnDY6nWaZStWqbCe03Gn3T5mZJ27dr9u56492rz1K6V16qirhw4JrjdNU59kzVa/Pr14FLSFktJS5W7fqYLCY4qNiVHXLmnq1bO7DKMhM2UHvq3evXef+vTuqf79+gTXl5dXaO78RQ3qSwg1f9FSmX6z3ptw6rNy9TodzcsPzhRwWkFhkZZ/uVo33XgdN2ZaOHI0Tzt37VVJaanatG6l/v36KCmpjfUbT5m/aKlKS8s07IZrQ66j3bf/oDZszNHY0SOi5trOC3Hg4CFty90pb22t0tI6amD/fg2efjRr1lx5vV6NGTU8ZNrXbbk7lLt9J098bIDde/Zp0+atuvbqK+u9VvmbVNfUaNaceXK73Rp3260hXySu27BRRcdO6LbRI8Jd8iXD8aEZAAAAuFA83AQAAACwQGgGAAAALBCaAQAAAAuEZgAAAMACoRkAAACwQGgGAAAALBCaAQAAAAuEZgAAAMACoRkAAACwQGgGAAAALBCaAQAAAAuEZgAAAMACoRkAAACwQGgGAAAALBCaAQAAAAuEZgAAAMACoRkAAACwQGgGAAAALBCaAQAAAAuEZgAAAMACoRkAAACwQGgGAAAALBCaAQAAAAuEZgAAAMACoRkAAACwQGgGAAAALBCaAQAAAAuEZgAAAMACoRkAAACwQGgGAAAALBCaAQAAAAuEZgAAAMACoRkAAACwQGgGAAAALBCaAQAAAAuEZgAAAMACoRkAAACw8P+YLhVqRZcs9wAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 900x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "seq6 = [\"котик\", \"собачка\", \"собачка\", \"котик\", \"собачка\", \"котик\", \"котик\"]\n",
    "fig, ax = plt.subplots(figsize=(9, 1.8))\n",
    "for i, kind in enumerate(seq6):\n",
    "    if kind == \"котик\":\n",
    "        ax.scatter(i, 0, s=700, c=ORANGE, edgecolor=\"white\", lw=2)\n",
    "    else:\n",
    "        ax.scatter(i, 0, s=750, c=BLUE, marker=\"s\", edgecolor=\"white\", lw=2)\n",
    "    ax.text(i, -0.75, f\"{i+1}-й\", ha=\"center\", color=INK2)\n",
    "ax.set_xlim(-0.6, 6.6); ax.set_ylim(-1.1, 0.6); ax.axis(\"off\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8c42658",
   "metadata": {},
   "source": [
    "*Твой ответ:*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "444379b1",
   "metadata": {},
   "source": [
    "## Задание 7. Угадай рост\n",
    "\n",
    "Соседи умеют угадывать не только «котик или собачка», но и **числа**. Для этого Бип берёт **среднее** у K соседей.\n",
    "\n",
    "Вот рост ребят из кружка:\n",
    "\n",
    "| Возраст, лет | 7 | 8 | 8,5 | 9 | 10 | 10,5 | 11 | 12 |\n",
    "|---|---|---|---|---|---|---|---|---|\n",
    "| Рост, см | 122 | 127 | 130 | 134 | 139 | 141 | 146 | 151 |\n",
    "\n",
    "В кружок пришла девочка, ей **9,4 года**.\n",
    "\n",
    "1. Кто её ближайшие соседи по возрасту? Расставь по порядку.\n",
    "2. Угадай её рост при **K = 1, K = 3 и K = 5**.\n",
    "3. ★ Что будет, если взять **K = 8** (всех)? Изменится ли ответ, если девочке будет 7 лет? А 12?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b04b6b2a",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.171893Z",
     "iopub.status.busy": "2026-10-22T02:10:27.171802Z",
     "iopub.status.idle": "2026-10-22T02:10:27.246785Z",
     "shell.execute_reply": "2026-10-22T02:10:27.246354Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "age = np.array([7, 8, 8.5, 9, 10, 10.5, 11, 12])\n",
    "height = np.array([122, 127, 130, 134, 139, 141, 146, 151])\n",
    "fig, ax = plt.subplots(figsize=(8, 4.5))\n",
    "ax.scatter(age, height, s=130, c=BLUE, edgecolor=\"white\", lw=1.5, zorder=3)\n",
    "ax.axvline(9.4, color=YELLOW, lw=3, ls=\"--\")\n",
    "ax.text(9.45, 123, \"9,4 года\\nрост = ?\", color=\"#a86f00\", weight=\"bold\", fontsize=13)\n",
    "ax.set_xlabel(\"возраст, лет\"); ax.set_ylabel(\"рост, см\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44e29aec",
   "metadata": {},
   "source": [
    "*Твой ответ:*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e610837",
   "metadata": {},
   "source": [
    "## Задание 8. Угадай K по карте\n",
    "\n",
    "Бип раскрасил карту: **оранжевым**, где он ответит «котик», и **голубым**, где «собачка». Три карты нарисованы для трёх разных K: **K = 1**, **K = 9** и **K = все звери**.\n",
    "\n",
    "Какая карта — какому K? Объясни, по каким приметам ты догадался."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "30a38f1b",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.248115Z",
     "iopub.status.busy": "2026-10-22T02:10:27.248014Z",
     "iopub.status.idle": "2026-10-22T02:10:27.269113Z",
     "shell.execute_reply": "2026-10-22T02:10:27.268701Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "rng = np.random.default_rng(5)\n",
    "cats8 = np.c_[rng.normal(3.2, 1.2, 22), rng.normal(6.6, 1.2, 22)]\n",
    "dogs8 = np.c_[rng.normal(6.6, 1.2, 30), rng.normal(3.4, 1.2, 30)]\n",
    "cats8 = np.vstack([cats8, [[6.9, 2.6], [7.8, 4.4]]])     # крупные котики среди собачек\n",
    "dogs8 = np.vstack([dogs8, [[2.6, 6.2], [3.6, 7.6]]])     # маленькие собачки среди котиков\n",
    "X8 = np.vstack([cats8, dogs8]); y8 = np.r_[np.zeros(len(cats8)), np.ones(len(dogs8))]\n",
    "\n",
    "def knn_map(k):\n",
    "    xx, yy = np.meshgrid(np.linspace(0, 10, 220), np.linspace(0, 10, 220))\n",
    "    P = np.c_[xx.ravel(), yy.ravel()]\n",
    "    D = np.sqrt(((P[:, None, :] - X8[None, :, :]) ** 2).sum(axis=2))\n",
    "    near = np.argsort(D, axis=1)[:, :k]\n",
    "    return xx, yy, (y8[near].mean(axis=1) > 0.5).reshape(xx.shape)\n",
    "\n",
    "def show_maps(ks, titles):\n",
    "    fig, axs = plt.subplots(1, 3, figsize=(15, 5))\n",
    "    for ax, k, t in zip(axs, ks, titles):\n",
    "        xx, yy, Z = knn_map(k)\n",
    "        ax.contourf(xx, yy, Z, levels=[-0.5, 0.5, 1.5], cmap=ListedColormap([LORANGE, LBLUE]))\n",
    "        ax.contour(xx, yy, Z, levels=[0.5], colors=[INK2], linewidths=1.2)\n",
    "        draw_animals(ax, cats8, dogs8, names=False, s=60)\n",
    "        ax.set_xlim(0, 10); ax.set_ylim(0, 10); ax.set_aspect(\"equal\")\n",
    "        ax.set_xticks([]); ax.set_yticks([]); ax.grid(False)\n",
    "        ax.set_title(t, fontsize=20)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5859dd08",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.270418Z",
     "iopub.status.busy": "2026-10-22T02:10:27.270288Z",
     "iopub.status.idle": "2026-10-22T02:10:27.591572Z",
     "shell.execute_reply": "2026-10-22T02:10:27.591194Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_maps([9, len(X8), 1], [\"Карта А\", \"Карта Б\", \"Карта В\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70f8953e",
   "metadata": {},
   "source": [
    "*Твой ответ:*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee5f12a6",
   "metadata": {},
   "source": [
    "## Задание 9. Близкие важнее ★\n",
    "\n",
    "Бип спросил **K = 3** соседей:\n",
    "\n",
    "| Сосед | Кто | Расстояние |\n",
    "|---|---|---|\n",
    "| 1 | котик | 1 |\n",
    "| 2 | собачка | 3 |\n",
    "| 3 | собачка | 4 |\n",
    "\n",
    "1. Что ответит Бип при обычном голосовании (у каждого 1 голос)?\n",
    "2. Теперь дадим близким соседям **больше голосов**: голос соседа = **1 : расстояние**. Сосед на расстоянии 1 получает 1 голос, на расстоянии 3 — 1/3 голоса, на расстоянии 4 — 1/4 голоса. Кто победит теперь?\n",
    "3. Какой ответ кажется тебе честнее? Почему?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c6d3dafe",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.592963Z",
     "iopub.status.busy": "2026-10-22T02:10:27.592856Z",
     "iopub.status.idle": "2026-10-22T02:10:27.626704Z",
     "shell.execute_reply": "2026-10-22T02:10:27.626397Z"
    },
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 650x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6.5, 4.5))\n",
    "star9 = np.array([0, 0])\n",
    "cat9 = np.array([[1, 0]]); dogs9 = np.array([[-1.8, 2.4], [0, -4]])\n",
    "draw_animals(ax, cat9, dogs9, star9, names=False, s=220)\n",
    "for p, txt in [(cat9[0], \"1\"), (dogs9[0], \"3\"), (dogs9[1], \"4\")]:\n",
    "    ax.plot([0, p[0]], [0, p[1]], \"--\", color=INK2)\n",
    "    ax.text(p[0] / 2 + 0.15, p[1] / 2 + 0.1, txt, fontsize=15, weight=\"bold\")\n",
    "ax.set_xlim(-3, 3); ax.set_ylim(-4.6, 3.2); ax.set_aspect(\"equal\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da9b3a35",
   "metadata": {},
   "source": [
    "*Твой ответ:*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20c467b8",
   "metadata": {},
   "source": [
    "## Задание 10. Напиши своего Бипа\n",
    "\n",
    "Напиши на Python три функции.\n",
    "\n",
    "* `euclid(p, q)` — расстояние «как птица» между точками `p` и `q`. Подсказка: корень — `np.sqrt(...)`, квадрат — `** 2`.\n",
    "* `manhattan(p, q)` — расстояние «как такси». Подсказка: число без минуса — `abs(...)`.\n",
    "* `knn(star, points, kinds, k, dist)` — ответ Бипа. Шаги: посчитать расстояние до каждой точки, отсортировать, взять первые `k`, посчитать голоса.\n",
    "\n",
    "Потом проверь своего Бипа на зверях из **задания 1** — ответы должны совпасть! И узнай: изменятся ли ответы, если мерить как такси?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "b8683f4b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.628057Z",
     "iopub.status.busy": "2026-10-22T02:10:27.627971Z",
     "iopub.status.idle": "2026-10-22T02:10:27.630384Z",
     "shell.execute_reply": "2026-10-22T02:10:27.630025Z"
    }
   },
   "outputs": [],
   "source": [
    "def euclid(p, q):\n",
    "    return ...   # твой код\n",
    "\n",
    "\n",
    "def manhattan(p, q):\n",
    "    return ...   # твой код\n",
    "\n",
    "\n",
    "def knn(star, points, kinds, k, dist):\n",
    "    distances = [dist(star, p) for p in points]       # 1. меряем расстояние до каждого\n",
    "    order = np.argsort(distances, kind=\"stable\")      # 2. номера зверей от ближнего к дальнему\n",
    "    nearest = ...                                     #    возьми первые k номеров\n",
    "    votes = [kinds[i] for i in nearest]               # 3. голоса соседей\n",
    "    cats, dogs = ..., ...                             #    посчитай котиков и собачек (подсказка: votes.count(\"котик\"))\n",
    "    return ...                                        # 4. верни \"котик\" или \"собачка\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0fd82a8b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.631396Z",
     "iopub.status.busy": "2026-10-22T02:10:27.631319Z",
     "iopub.status.idle": "2026-10-22T02:10:27.632855Z",
     "shell.execute_reply": "2026-10-22T02:10:27.632545Z"
    }
   },
   "outputs": [],
   "source": [
    "# Проверка: убери решётки (#) в начале строк и запусти ячейку\n",
    "# print(euclid((1, 1), (4, 5)), manhattan((1, 1), (4, 5)))   # должно быть 5.0 и 7\n",
    "# points1 = np.vstack([cats1, dogs1])\n",
    "# kinds1 = [\"котик\"] * 5 + [\"собачка\"] * 5\n",
    "# for k in [1, 3, 5, 7]:\n",
    "#     print(k, knn(star1, points1, kinds1, k, euclid), knn(star1, points1, kinds1, k, manhattan))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c3fdf3c",
   "metadata": {},
   "source": [
    "## Задание 11. Лаборатория: яблоко, лимон или апельсин? ★\n",
    "\n",
    "Теперь у Бипа **три** вида фруктов и много примеров. Для каждого фрукта измерили **ширину** и **высоту** в сантиметрах. Обе мерки в одних и тех же единицах, так что масштабировать не нужно.\n",
    "\n",
    "Мы используем готового Бипа из библиотеки `scikit-learn`: `KNeighborsClassifier`. Фрукты делим на две кучки: на **учебных** Бип «учится» (просто запоминает их), а на **проверочных** мы смотрим, сколько он угадал.\n",
    "\n",
    "1. Запусти ячейку с данными и посмотри на картинку. Где перемешаны фрукты?\n",
    "2. Поменяй `K` в ячейке ниже: попробуй 1, 5, 15, 51, 149. Запиши, сколько процентов угадано на **учебных** и на **проверочных** фруктах.\n",
    "3. Какое K лучше всего? Что происходит при K = 1 и при очень большом K?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "fd76482a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:27.633936Z",
     "iopub.status.busy": "2026-10-22T02:10:27.633865Z",
     "iopub.status.idle": "2026-10-22T02:10:28.570523Z",
     "shell.execute_reply": "2026-10-22T02:10:28.570081Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 650x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "rng = np.random.default_rng(42)\n",
    "fruit_names = [\"яблоко\", \"лимон\", \"апельсин\"]\n",
    "fruit_colors = [GREEN, YELLOW, ORANGE]\n",
    "centers = [(7.4, 7.0), (5.8, 8.6), (8.4, 8.2)]\n",
    "spread = [(0.55, 0.5), (0.45, 0.6), (0.55, 0.5)]\n",
    "sizes = [90, 60, 75]\n",
    "Xf = np.vstack([np.c_[rng.normal(cx, sx, n), rng.normal(cy, sy, n)]\n",
    "                for (cx, cy), (sx, sy), n in zip(centers, spread, sizes)])\n",
    "yf = np.concatenate([[i] * n for i, n in enumerate(sizes)])\n",
    "X_train, X_test, y_train, y_test = train_test_split(Xf, yf, test_size=75, random_state=0, stratify=yf)\n",
    "\n",
    "\n",
    "def draw_fruits(ax, X, y, s=45):\n",
    "    for i in range(3):\n",
    "        ax.scatter(X[y == i, 0], X[y == i, 1], s=s, c=fruit_colors[i], edgecolor=\"white\", lw=0.8,\n",
    "                   label=fruit_names[i], zorder=3)\n",
    "    ax.set_xlabel(\"ширина, см\"); ax.set_ylabel(\"высота, см\"); ax.set_aspect(\"equal\")\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6.5, 6))\n",
    "draw_fruits(ax, X_train, y_train)\n",
    "ax.legend(loc=\"upper center\")\n",
    "ax.set_title(f\"Учебные фрукты: {len(X_train)} шт.\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "48ca4ae9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:28.571941Z",
     "iopub.status.busy": "2026-10-22T02:10:28.571773Z",
     "iopub.status.idle": "2026-10-22T02:10:28.688525Z",
     "shell.execute_reply": "2026-10-22T02:10:28.688143Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K = 5: учебные 94 %, проверочные 93 %\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 650x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "K = 5   # ← меняй это число\n",
    "\n",
    "bip = KNeighborsClassifier(n_neighbors=K)   # по умолчанию расстояние «как птица»\n",
    "bip.fit(X_train, y_train)                    # «учёба» = запомнить учебные фрукты\n",
    "train_score = bip.score(X_train, y_train) * 100\n",
    "test_score = bip.score(X_test, y_test) * 100\n",
    "print(f\"K = {K}: учебные {train_score:.0f} %, проверочные {test_score:.0f} %\")\n",
    "\n",
    "xx, yy = np.meshgrid(np.linspace(4, 10.5, 300), np.linspace(5.5, 11, 300))\n",
    "Z = bip.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "fig, ax = plt.subplots(figsize=(6.5, 6))\n",
    "ax.contourf(xx, yy, Z, levels=[-0.5, 0.5, 1.5, 2.5], colors=[LGREEN, \"#fbeec4\", LORANGE])\n",
    "draw_fruits(ax, X_train, y_train)\n",
    "ax.legend(loc=\"upper center\"); ax.set_title(f\"Карта ответов Бипа, K = {K}\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "20124e91",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-22T02:10:28.689722Z",
     "iopub.status.busy": "2026-10-22T02:10:28.689619Z",
     "iopub.status.idle": "2026-10-22T02:10:28.691262Z",
     "shell.execute_reply": "2026-10-22T02:10:28.690971Z"
    }
   },
   "outputs": [],
   "source": [
    "# Запиши свои результаты сюда:\n",
    "# K = 1:   учебные ... %, проверочные ... %\n",
    "# K = 5:   учебные ... %, проверочные ... %\n",
    "# K = 15:  учебные ... %, проверочные ... %\n",
    "# K = 51:  учебные ... %, проверочные ... %\n",
    "# K = 149: учебные ... %, проверочные ... %"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a2edd6b2",
   "metadata": {},
   "source": [
    "*Твой ответ на вопрос 3:*"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.14.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
