{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "84886528",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8b62e7c",
   "metadata": {},
   "source": [
    "Vectorize this code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "30cd956c",
   "metadata": {},
   "outputs": [],
   "source": [
    "size = 101\n",
    "center = size // 2\n",
    "radius = 20\n",
    "\n",
    "circle = np.zeros((size, size), dtype=float)\n",
    "for i in range(size):\n",
    "    for j in range(size):\n",
    "        distance_from_center = np.sqrt((i - center)**2 + (j - center)**2)\n",
    "        if distance_from_center <= radius:\n",
    "            circle[i, j] = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "698050fb",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.imshow(circle)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6ac0138",
   "metadata": {},
   "source": [
    "# Solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d89a3e0d",
   "metadata": {},
   "outputs": [],
   "source": [
    "size = 101\n",
    "center = size // 2\n",
    "x = np.arange(size)\n",
    "y = x.reshape((size, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ea311dfc",
   "metadata": {},
   "outputs": [],
   "source": [
    "distance_from_center = np.sqrt((x - center) ** 2 + (y - center) ** 2)\n",
    "circle = distance_from_center <= radius"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c62096b1",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.imshow(circle)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a1469dfa",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
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 "nbformat_minor": 5
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