Hackathon.ipynb

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   "source": [
    "## Hackathon\n",
    "## Date: 14 May 2019"
   ]
  },
  {
   "cell_type": "code",
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   "source": [
    "## Problem1:\n",
    "For a given integer N, find the total number of  Non - Prime Factors in the range (1, N) (both exclusive) that do not contain the digit 0\n",
    "### Test Cases:\n",
    "nonPrimeFactorsCount( 100 ) -> 2\n",
    "nonPrimeFactorsCount( 50 )  ->  1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "non prime numbers:- [4, 25]\n",
      "\n",
      "non prime numbers:- [25]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "def num(n):\n",
    "    a=[]\n",
    "    for i in range (1,n):\n",
    "        if(n%i==0):\n",
    "            a.append(i)\n",
    "    b=[]\n",
    "    for i in range(1,len(a)):\n",
    "        \n",
    "        sum=0\n",
    "        for j in range(1,a[i]+1):\n",
    "            \n",
    "            \n",
    "            if(a[i]%j==0):\n",
    "                sum=sum+1\n",
    "        if(sum!=2):\n",
    "            if(a[i]%10!=0):\n",
    "                b.append(a[i])\n",
    "    print(\"non prime numbers:-\",b)\n",
    "    return ''\n",
    "print(num(100))\n",
    "print(num(50))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
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  },
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   "metadata": {},
   "source": [
    "## Problem2:\n",
    "For a given integer N. Find the least positive integer X made up of only 9's and 0's, such that, X is a multiple of N.X is made up of one or more occurrences of 9 and zero or more occurrences of 0.\n",
    "### Test Cases:\n",
    "* Multiple( 5 )  -> 90\n",
    "* Multiple ( 7 )  -> 9009\n",
    "* Multiple( 1 )  -> 9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'n' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-6-9eccc59bd0da>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     12\u001b[0m         \u001b[0ma\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcheck\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m9\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     13\u001b[0m         \u001b[1;32mreturn\u001b[0m \u001b[0mtrue\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 14\u001b[1;33m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfinteger\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m5\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     15\u001b[0m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfinteger\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m7\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     16\u001b[0m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfinteger\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m<ipython-input-6-9eccc59bd0da>\u001b[0m in \u001b[0;36mfinteger\u001b[1;34m(n)\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mfinteger\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      2\u001b[0m     \u001b[1;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m*\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m100000000\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m         \u001b[0mcheck\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      4\u001b[0m         \u001b[1;32mif\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m!=\u001b[0m\u001b[1;36m0\u001b[0m  \u001b[1;32mand\u001b[0m \u001b[0mi\u001b[0m\u001b[1;33m%\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m==\u001b[0m\u001b[1;36m0\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mi\u001b[0m\u001b[1;33m%\u001b[0m\u001b[1;36m10\u001b[0m\u001b[1;33m==\u001b[0m\u001b[1;36m0\u001b[0m \u001b[1;32mand\u001b[0m \u001b[0mi\u001b[0m\u001b[1;33m%\u001b[0m\u001b[1;36m9\u001b[0m\u001b[1;33m==\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m             \u001b[1;32mreturn\u001b[0m \u001b[0mi\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m<ipython-input-6-9eccc59bd0da>\u001b[0m in \u001b[0;36mcheck\u001b[1;34m(c)\u001b[0m\n\u001b[0;32m      8\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      9\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mcheck\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mc\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 10\u001b[1;33m     \u001b[1;32mfor\u001b[0m \u001b[0m_\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m10000\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mn\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     11\u001b[0m         \u001b[0ma\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mc\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     12\u001b[0m         \u001b[0ma\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcheck\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m9\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mNameError\u001b[0m: name 'n' is not defined"
     ]
    }
   ],
   "source": [
    "def finteger(n):\n",
    "    for i in range(n*2,100000000,n):\n",
    "        check(i)\n",
    "        if(i!=0  and i%n==0 and i%10==0 and i%9==0):\n",
    "            return i\n",
    "        else:\n",
    "            return\n",
    "        \n",
    "def check(c):\n",
    "    for _ in range(2*n,10000,n): \n",
    "        a=[c]\n",
    "        a.check(9)\n",
    "        return true\n",
    "print(finteger(5))\n",
    "print(finteger(7))\n",
    "print(finteger(1))"
   ]
  },
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