{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4cf2d9c5-3215-467a-8907-034ece0de066",
   "metadata": {},
   "outputs": [],
   "source": [
    "from decimal import Decimal,getcontext\n",
    "getcontext().prec = 1067\n",
    "\n",
    "fin=open(\"numere2.in\", \"r\").readline\n",
    "fout=open(\"numere2.out\", \"w\").write\n",
    "\n",
    "n=int(fin())\n",
    "a=67\n",
    "i=340\n",
    "while i>0:\n",
    "    a=int(Decimal(n)**(Decimal(1)/Decimal(i)))\n",
    "    if a**i==n:\n",
    "        break;\n",
    "    a+=1;\n",
    "    if a**i==n:\n",
    "        break;\n",
    "    i-=1\n",
    "fout(str(a)+\"\\n\"+str(i))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}