008-Solution.ipynb

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   "source": [
    "# The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832."
   ]
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   "source": [
    "### 7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450"
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?"
   ]
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  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
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   "source": [
    "num = 7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450"
   ]
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   "cell_type": "code",
   "execution_count": 28,
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   "outputs": [],
   "source": [
    "window = 13"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5000940\n",
      "9797760\n",
      "13063680\n",
      "25401600\n",
      "50803200\n",
      "71124480\n",
      "284497920\n",
      "568995840\n",
      "1020366720\n",
      "1632586752\n",
      "2040733440\n",
      "2972712960\n",
      "6270566400\n",
      "14108774400\n",
      "23514624000\n"
     ]
    }
   ],
   "source": [
    "max_product = 0\n",
    "for i in range(1000-window):\n",
    "    str_num_chopped = str(num)[i:window+i]\n",
    "    list_num_chopped = [int(x) for x in str_num_chopped]\n",
    "    product = 1\n",
    "    for x in list_num_chopped:\n",
    "        product*=x\n",
    "    #product = np.prod(list_num_chopped)\n",
    "    if product > max_product:\n",
    "        max_product = product\n",
    "        print(max_product)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Answer: 23,514,624,000"
   ]
  }
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