Methods I HW2 solution

HW2-solution.ipynb

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   "cell_type": "markdown",
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   "source": [
    "# Part 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "805fbabe",
   "metadata": {},
   "outputs": [
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     "text": [
      "a is in manhattan\n",
      "o is in brooklyn\n",
      "e is in queens\n",
      "u is in queens\n",
      "e is in the bronx\n",
      "o is in the bronx\n",
      "a is in staten island\n",
      "e is in staten island\n",
      "i is in staten island\n"
     ]
    }
   ],
   "source": [
    "boroughs = [\"manhattan\", \"brooklyn\", \"queens\",\n",
    "            \"the bronx\", \"staten island\"]\n",
    "vowels = [\"a\", \"e\", \"i\", \"o\", \"u\"]\n",
    "for borough in boroughs:\n",
    "    for vowel in vowels:\n",
    "        if vowel in borough:\n",
    "            # A fancier style: print(f\"{vowel} is in {borough}\")\n",
    "            print(vowel + \" is in \" + borough)"
   ]
  },
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   "cell_type": "markdown",
   "id": "55260ad1",
   "metadata": {},
   "source": [
    "# Part 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "bda1d5b2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "8\n",
      "27\n",
      "64\n",
      "125\n",
      "216\n",
      "343\n",
      "512\n",
      "729\n"
     ]
    }
   ],
   "source": [
    "for x in range(1, 10):\n",
    "    xcube = x * x * x\n",
    "    print(xcube)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a27acfc9",
   "metadata": {},
   "source": [
    "The _cool numbers_ are more properly known as _perfect cubes_."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "168dd72a",
   "metadata": {},
   "source": [
    "# Stretch goal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ee6523f4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9\n",
      "28\n",
      "65\n",
      "126\n",
      "217\n",
      "344\n",
      "513\n",
      "730\n",
      "35\n",
      "72\n",
      "133\n",
      "224\n",
      "351\n",
      "520\n",
      "737\n",
      "91\n",
      "152\n",
      "243\n",
      "370\n",
      "539\n",
      "756\n",
      "189\n",
      "280\n",
      "407\n",
      "576\n",
      "793\n",
      "341\n",
      "468\n",
      "637\n",
      "854\n",
      "559\n",
      "728\n",
      "945\n",
      "855\n"
     ]
    }
   ],
   "source": [
    "# Ideally we'd print these in order.\n",
    "for x in range(1, 10):\n",
    "    xcube = x * x * x\n",
    "    for y in range(x + 1, 10):\n",
    "        ycube = y * y * y\n",
    "        z = xcube + ycube\n",
    "        # Hackish. There's a better solution.\n",
    "        if z >= 1000:\n",
    "            continue\n",
    "        print(z)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9da81590",
   "metadata": {},
   "source": [
    "The _hip numbers_ can be used to define what are known as the [_Ramanujan numbers_, _Ramanujan-Hardy numbers_, or _taxicab numbers_](https://en.wikipedia.org/wiki/Taxicab_number). According to legend, the mathematician Ramanujan was told that his visitor had taken a taxicab with this number and observed that it was the smallest counting number that was the sum of two different cubes (i.e., \"hip\" in two ways)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "26d2e56e",
   "metadata": {},
   "source": [
    "# Reflection"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b88ac941",
   "metadata": {},
   "source": [
    "Your reflection here."
   ]
  }
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