Recursion.ipynb

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  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "d631354d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import time\n",
    "from functools import cache,lru_cache "
   ]
  },
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   "cell_type": "code",
   "execution_count": 3,
   "id": "b617212b",
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    "def Fibonacci(n):\n",
    "\t# Check if input is 0 then it will\n",
    "\t# print incorrect input\n",
    "\tif n < 0:\n",
    "\t\tprint(\"Incorrect input\")\n",
    "\n",
    "\t# Check if n is 0\n",
    "\t# then it will return 0\n",
    "\telif n == 0:\n",
    "\t\treturn 0\n",
    "\n",
    "\t# Check if n is 1,2\n",
    "\t# it will return 1\n",
    "\telif n == 1 or n == 2:\n",
    "\t\treturn 1\n",
    "\n",
    "\telse:\n",
    "\t\treturn Fibonacci(n-1) + Fibonacci(n-2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "3241053b",
   "metadata": {},
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     "text": [
      "Time taken for Febonacci(Normal) : 60.435563\n"
     ]
    }
   ],
   "source": [
    "start=time.time()\n",
    "Fibonacci(40)\n",
    "end = time.time()\n",
    "print(\"Time taken for Febonacci(Normal) :\",format(end-start,'5f'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "9076ba6a",
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   "outputs": [],
   "source": [
    "@lru_cache(None)\n",
    "def Fibonacci1(n):\n",
    "\n",
    "\t# Check if input is 0 then it will\n",
    "\t# print incorrect input\n",
    "\tif n < 0:\n",
    "\t\tprint(\"Incorrect input\")\n",
    "\n",
    "\t# Check if n is 0\n",
    "\t# then it will return 0\n",
    "\telif n == 0:\n",
    "\t\treturn 0\n",
    "\n",
    "\t# Check if n is 1,2\n",
    "\t# it will return 1\n",
    "\telif n == 1 or n == 2:\n",
    "\t\treturn 1\n",
    "\n",
    "\telse:\n",
    "\t\treturn Fibonacci(n-1) + Fibonacci(n-2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ed02be11",
   "metadata": {},
   "outputs": [],
   "source": [
    "start=time.time()\n",
    "Fibonacci1(40)\n",
    "end = time.time()\n",
    "print(\"Time taken for Febonacci(cache) :\",format(end-start,'5f'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "99f0e065",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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