{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def countSheep(seed):\n",
    "    if seed == 0:\n",
    "        return \"INSOMNIA\"\n",
    "    seen = {}\n",
    "    count = 1\n",
    "    while len(seen) < 10:\n",
    "        cSeed=seed*count\n",
    "        while cSeed > 0:\n",
    "            seen[cSeed%10]=1\n",
    "            cSeed = (cSeed-cSeed%10)/10\n",
    "        count+=1\n",
    "    return seed*(count-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f = open(\"aa-small.in\")\n",
    "answers = []\n",
    "f.readline()\n",
    "count = 1\n",
    "for case in f:\n",
    "    ans = \"Case #\" + str(count) + \": \"\n",
    "    case = int(case.strip())\n",
    "    ans = ans + str(countSheep(case)) + \"\\n\"\n",
    "    count+=1\n",
    "    answers.append(ans)\n",
    "\n",
    "q = open(\"A-small.out\",'w')\n",
    "for ans in answers:\n",
    "    q.write(ans)\n",
    "q.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'INSOMNIA'"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "countSheep(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "countSheep(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "90"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "countSheep(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "110"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "countSheep(11)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5076"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "countSheep(1692)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "91991990"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "countSheep(9199199)"
   ]
  }
 ],
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