Project Euler Q9 - LO Man Hei

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    "### Q9\n",
    "There exists exactly one Pythagorean triplet for which \\(a+b+c = 1000\\) . Find the product abc."
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    "def prod(x_vector):\n",
    "    result = 1\n",
    "    for i in x_vector:\n",
    "        result *= i\n",
    "    return result\n",
    "\n",
    "def pythagorean_triplet_for_sum(triplet_sum):\n",
    "    if triplet_sum%2:\n",
    "        return None\n",
    "    b = triplet_sum\n",
    "    for a in range(1,triplet_sum//2):\n",
    "        temp_b = triplet_sum*triplet_sum//2 - triplet_sum*a\n",
    "        b = temp_b//(triplet_sum-a)\n",
    "        if b < a :\n",
    "            break\n",
    "        if temp_b % (triplet_sum-a) == 0:            \n",
    "            return [a,b,triplet_sum-a-b]\n",
    "    return None"
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      "CPU times: user 42 µs, sys: 10 µs, total: 52 µs\n",
      "Wall time: 54.1 µs\n"
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   "source": [
    "%%time\n",
    "prod(pythagorean_triplet_for_sum(1000))"
   ]
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