Project Euler Q43 - LO Man Hei

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    "### Q43\n",
    "Find the sum of all 0 to 9 pandigital numbers with sub-string divisibility property."
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    "def is_sub_string_divisible(n):\n",
    "    str_n = str(n)\n",
    "    len_n = len(n)\n",
    "    if len_n >= 4 and int(str_n[1:4]) % 2: return False\n",
    "    if len_n >= 5 and int(str_n[2:5]) % 3: return False\n",
    "    if len_n >= 6 and int(str_n[3:6]) % 5: return False\n",
    "    if len_n >= 7 and int(str_n[4:7]) % 7: return False\n",
    "    if len_n >= 8 and int(str_n[5:8]) % 11: return False\n",
    "    if len_n >= 9 and int(str_n[6:9]) % 13: return False\n",
    "    if len_n >= 10 and int(str_n[7:10]) % 17: return False\n",
    "    return True\n",
    "\n",
    "def distinct_digit_generator(candidates,selected=None):\n",
    "    if selected is None:\n",
    "        selected = []\n",
    "    if len(candidates) == 0:\n",
    "        yield int(''.join(str(i) for i in selected))\n",
    "    for i in range(len(candidates)):\n",
    "        temp_c = candidates.copy()\n",
    "        temp_s = selected+[temp_c.pop(i)]\n",
    "        if  is_sub_string_divisible(''.join(str(i) for i in temp_s)):\n",
    "            yield from distinct_digit_generator(temp_c,temp_s)\n",
    "        \n",
    "def sub_string_divisible_num():\n",
    "    return {i for i in distinct_digit_generator([0,1,2,3,4,5,6,7,8,9])}"
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      "CPU times: user 143 ms, sys: 0 ns, total: 143 ms\n",
      "Wall time: 140 ms\n"
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   "source": [
    "%%time\n",
    "sum(sub_string_divisible_num())"
   ]
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   "execution_count": null,
   "id": "392b184b-9336-4add-b21e-a46ebd6740de",
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   "source": []
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