hdu4430

import java.io.BufferedInputStream;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.io.StreamTokenizer;
import java.math.BigInteger;
import java.text.DecimalFormat;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collection;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Iterator;
import java.util.LinkedList;
import java.util.List;
import java.util.NavigableSet;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Scanner;
import java.util.Set;
import java.util.SortedSet;
import java.util.Stack;
import java.util.StringTokenizer;
import java.util.TreeSet;

public class Main {


static{

      // System.out.println((long)Math.pow(2, 40)) ;
      // System.out.println(1000000000000L);

}
    public static void main(String[] args) throws IOException{

           StreamTokenizer cin = new StreamTokenizer(new BufferedInputStream(System.in)); 
           InputReader in = new InputReader(System.in)  ;
           PrintWriter out = new PrintWriter(System.out) ;  
           while(cin.nextToken() != cin.TT_EOF){
                new Task().solve((long)cin.nval ,  out) ;   
           }
           out.flush();
    }

}

class  Task{

       long  n ;  

       long  pow(long x , long y){
             long s = 1 ;
             for( ; y > 0 ; y >>= 1){
                   if((y & 1)  > 0) s *= x ;
                   x *= x ;
             }
             return s ;
       }

       long  getK(long R){

             long l = 2 , r =  (long)Math.pow(n ,  1.0/R)  ;
             while(l <= r){

                    long mid = (l + r) >> 1 ;
                    long k = mid ;
                    long sum = (pow(k , R) - 1) * k / (k - 1) ;
                    if(sum == n || sum == n-1) return  mid ;
                    else if(sum < n-1) l = mid + 1 ;
                    else r = mid - 1 ; 
             }

             return -1  ; 
       }

       public void solve(long n , PrintWriter out){
              this.n =  n ; 
              long ansK = n-1 ;
              long ansR = 1 ;

              for(long r = 2 ;  r <= 45 ; r++){
                      long k = getK(r) ;
                      if(k != -1 && k * r < ansK * ansR){
                             ansK = k ;
                             ansR = r ;
                      }
              }

              out.println(ansR + " " +  ansK) ;

             // out.flush(); 

       }
}


class   InputReader{
        public BufferedReader  reader;
        public StringTokenizer  tokenizer;

        public InputReader(InputStream stream){
               reader = new BufferedReader(new InputStreamReader(stream), 32768) ;
               tokenizer = null ;
        }

        public String next(){
               while(tokenizer == null || ! tokenizer.hasMoreTokens()){
                        try{
                            tokenizer = new StringTokenizer(reader.readLine());
                        }catch (IOException e) {
                             throw new RuntimeException(e);
                        }
               }
               return tokenizer.nextToken();  
        }

        public int  nextInt(){
                    return Integer.parseInt(next());
        }

        public long nextLong(){
                    return Long.parseLong(next());
        }

        public double nextDouble(){
                    return  Double.parseDouble(next());
        }

}

你可能感兴趣的:(hdu4430)