Problem: Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.

LCM(a, b) is the smallest positive integer that is divisible by both a and b. For example, LCM(6, 8) = 24, LCM(4, 12) = 12, LCM(2, 3) = 6.

Of course, Fadi immediately knew the answer. Can you be just like Fadi and find any such pair?

Input

The first and only line contains an integer X (1 ≤ X ≤ 10^{12}).

Output

Print two positive integers, a and b, such that the value of max(a, b) is minimum possible and LCM(a, b) equals X. If there are several possible such pairs, you can print any.

Examples

Input


2


Output


1 2


Input


6


Output


2 3


Input


4


Output


1 4


Input


1


Output


1 1

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
public class Main {

	static class PairComparator implements Comparator<Pair> {
		@Override
		public int compare(Pair x, Pair y) {
			if (x.val < y.val)return -1;
			if (x.val > y.val)return 1;
			if (x.val == y.val){
				if (x.ind < y.ind)return -1;
				if (x.ind > y.ind)return 1;
			}
			return 0;
		}
	}

    static class Pair{
        int ind, val;
        Pair(int i, int v){
            ind=i;
            val=v;
        }
    }


	static boolean isCoFactor(long a, long b){
		long s= Math.min(a,b);
		long l= Math.max(a,b);
		if (a==b)return false;
		if (l%s==0)return false;
		for (int i=2;i*i<=s;i++){
			if (s%i==0 && l%i==0)return false;
		}
		return true;
	}


   static void func() throws Exception {
	   long val = sc.nextLong();
	   for (int i=(int)Math.sqrt(val);i>=2;i--){
		   if (val%i==0 && isCoFactor(i, val/i)){
			   pw.println(i + " " + val/i);
			   return;
		   }
	   }
	   pw.println(1 + " " + val);


   }


    static PrintWriter pw;
    static MScanner sc;

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

        pw = new PrintWriter(System.out);
        sc = new MScanner(System.in);

        int tests = 1;
       // tests =sc.nextInt(); //comment this line
        while (tests-- > 0){
            func();
            pw.flush();
        }

    }

    static class MScanner {
        StringTokenizer st;
        BufferedReader br;

        public MScanner(InputStream system) {
            br = new BufferedReader(new InputStreamReader(system));
        }

        public MScanner(String file) throws Exception {
            br = new BufferedReader(new FileReader(file));
        }

        public String next() throws IOException {
            while (st == null || !st.hasMoreTokens())
                st = new StringTokenizer(br.readLine());
            return st.nextToken();
        }

        public int[] intArr(int n) throws IOException {
            int[] in = new int[n];
            for (int i = 0; i < n; i++)
                in[i] = nextInt();
            return in;
        }

        public long[] longArr(int n) throws IOException {
            long[] in = new long[n];
            for (int i = 0; i < n; i++)
                in[i] = nextLong();
            return in;
        }

        public int[] intSortedArr(int n) throws IOException {
            int[] in = new int[n];
            for (int i = 0; i < n; i++)
                in[i] = nextInt();
            shuffle(in);
            Arrays.sort(in);
            return in;
        }

        public long[] longSortedArr(int n) throws IOException {
            long[] in = new long[n];
            for (int i = 0; i < n; i++)
                in[i] = nextLong();
            shuffle(in);
            Arrays.sort(in);
            return in;
        }

        public Integer[] IntegerArr(int n) throws IOException {
            Integer[] in = new Integer[n];
            for (int i = 0; i < n; i++)
                in[i] = nextInt();
            return in;
        }

        public Long[] LongArr(int n) throws IOException {
            Long[] in = new Long[n];
            for (int i = 0; i < n; i++)
                in[i] = nextLong();
            return in;
        }

        public String nextLine() throws IOException {
            return br.readLine();
        }

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

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

        public char nextChar() throws IOException {
            return next().charAt(0);
        }

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

        public boolean ready() throws IOException {
            return br.ready();
        }

        public void waitForInput() throws InterruptedException {
            Thread.sleep(3000);
        }
    }

    static void shuffle(int[] in) {
        for (int i = 0; i < in.length; i++) {
            int idx = (int) (Math.random() * (i+1));
            int tmp = in[i];
            in[i] = in[idx];
            in[idx] = tmp;
        }
    }

    static void shuffle(long[] in) {
        for (int i = 0; i < in.length; i++) {
            int idx = (int) (Math.random() * (i+1));
            long tmp = in[i];
            in[i] = in[idx];
            in[idx] = tmp;
        }
    }
}