Tried to solve 55 till 57.

ipython/EulerProblem055.ipynb

@@ -36,6 +36,85 @@
     "NOTE: Wording was modified slightly on 24 April 2007 to emphasise the theoretical nature of Lychrel numbers."
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def get_digits(n):\n",
+    "    d = []\n",
+    "    while n:\n",
+    "        d.append(n % 10)\n",
+    "        n //= 10\n",
+    "    return d\n",
+    "\n",
+    "def is_pilandrome(n):\n",
+    "    ds = get_digits(n)\n",
+    "    len_ds = len(ds)\n",
+    "    if len_ds < 2:\n",
+    "        return True\n",
+    "    for i in range(0, len_ds // 2):\n",
+    "        if ds[i] != ds[len_ds - i - 1]:\n",
+    "            return False\n",
+    "    return True\n",
+    "\n",
+    "assert(is_pilandrome(1337) == False)\n",
+    "assert(is_pilandrome(1331))\n",
+    "assert(is_pilandrome(131))\n",
+    "assert(is_pilandrome(132) == False)\n",
+    "\n",
+    "\n",
+    "def get_digit_inverse(n):\n",
+    "    ds = get_digits(n)\n",
+    "    base = 1\n",
+    "    i = 0\n",
+    "    for d in ds[::-1]:\n",
+    "        i += (base * d)\n",
+    "        base *= 10\n",
+    "    return i\n",
+    "\n",
+    "assert(get_digit_inverse(47) == 74)\n",
+    "assert(get_digit_inverse(47) == 74)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def is_not_lychrel(n, iterations=50):\n",
+    "    for i in range(0, iterations):\n",
+    "        n = n + get_digit_inverse(n)\n",
+    "        if is_pilandrome(n):\n",
+    "            return (i + 1)\n",
+    "    return 0\n",
+    "\n",
+    "assert(is_not_lychrel(47) == 1)\n",
+    "assert(is_not_lychrel(349) == 3)\n",
+    "assert(is_not_lychrel(10677, 100) == 53)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "249\n"
+     ]
+    }
+   ],
+   "source": [
+    "lychrels = [n for n in range(1, 10000) if is_not_lychrel(n) == 0]\n",
+    "s = len(lychrels)\n",
+    "print(s)"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,