In Omkar's last class of math, he learned about the least common multiple, or LCM. LCM(a, b) is the smallest positive integer x which is divisible by both a and b.

Omkar, having a laudably curious mind, immediately thought of a problem involving the LCM operation: given an integer n, find positive integers a and b such that a + b = n and LCM(a, b) is the minimum value possible.

Can you help Omkar solve his ludicrously challenging math problem?

Input

Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 10). Description of the test cases follows.

Each test case consists of a single integer n (2 ≤ n ≤ 10^{9}).

Output

For each test case, output two positive integers a and b, such that a + b = n and LCM(a, b) is the minimum possible.

Example

Input


3
4
6
9


Output


2 2
3 3
3 6

Note

For the first test case, the numbers we can choose are 1, 3 or 2, 2. LCM(1, 3) = 3 and LCM(2, 2) = 2, so we output 2 \ 2.

For the second test case, the numbers we can choose are 1, 5, 2, 4, or 3, 3. LCM(1, 5) = 5, LCM(2, 4) = 4, and LCM(3, 3) = 3, so we output 3 \ 3.

For the third test case, LCM(3, 6) = 6. It can be shown that there are no other pairs of numbers which sum to 9 that have a lower LCM.
//package learning;
import java.util.*;
import java.io.*;
import java.lang.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
public class NitsLocal {
    static ArrayList<String> s1;
    static boolean[] prime;
    static int n = 200001;
    
     static void sieve() {
Arrays.fill(prime	, true);
prime[0] = prime[1] = false;
for(int i = 2 ; i * i <= n ; ++i) {
if(prime[i]) {
for(int k = i * i; k<= n ; k+=i) {
prime[k] = false;
}
}
}
 
}
    public static void main(String[] args) {
        InputReader sc = new InputReader(System.in);
        
           //prime  = new boolean[n + 1];
          // sieve();
                //prime[1] = false;
              
                  
             /*    
        int n = sc.ni();
        int k = sc.ni();
        int []vis = new int[n+1];
        int []a = new int[k];
        for(int i=0;i<k;i++)
        {
            a[i] = i+1;
        }
        int j = k+1;
        int []b = new int[n+1];
        for(int i=1;i<=n;i++)
        {
            b[i] = -1;
        }
        int y = n - k +1;
        int tr = 0;
        int y1 = k+1;
        while(y-- > 0)
        {
        System.out.print("? ");
        for(int i=0;i<k;i++)
        {
            System.out.print(a[i] + " ");
        }
        
        System.out.flush();
        int pos = sc.ni();
        int a1 = sc.ni();
        b[pos] = a1;
        
        
        for(int i=0;i<k;i++)
        {
            if(a[i] == pos)
            {
                a[i] = y1;
                y1++;
            }
        }
        }
        ArrayList<Integer> a2 = new ArrayList<>();
        if(y >= k)
        {
            
        int c = 0;
        int k1 = 0;
            for(int i=1;i<=n;i++)
            {
                if(b[i] != -1)
                {
                    c++;
                    a[k1] = i;
                    a2.add(b[i]);
                    k1++;
                }
                if(c==k)
                    break;
            }
            
            Collections.sort(a2);
            System.out.print("? ");
        for(int i=0;i<k;i++)
        {
            System.out.print(a[i] + " ");
        }
        System.out.println();
        System.out.flush();
        int pos = sc.ni();
        int a1 = sc.ni();
        int ans = -1;
        for(int i=0;i<a2.size();i++)
        {
            if(a2.get(i) == a1)
            {
                ans = i+1;
                break;
            }
        }
        System.out.println("!" + " " + ans);
           System.out.flush();  
        }
        else
        {
            int k1 = 0;
            a = new int[k];
             for(int i=1;i<=n;i++)
            {
                if(b[i] != -1)
                {
                    
                    a[k1] = i;
                    a2.add(b[i]);
                    k1++;
                }
             
            }
              for(int i=1;i<=n;i++)
            {
                if(b[i] == -1)
                {
                    
                    a[k1] = i;
                    
                    k1++;
                    if(k1==k)
                        break;
                }
             
            }
              int ans = -1;
              while(true)
              {
                   System.out.print("? ");
                     for(int i=0;i<k;i++)
                   {
                         System.out.print(a[i] + " ");
                  }
                   System.out.println();
                   System.out.flush();
                   int pos = sc.ni();
                   int a1 = sc.ni();
                   int f = 0;
                   
                   if(b[pos] != -1)
                   {
                       Collections.sort(a2);
                       for(int i=0;i<a2.size();i++)
                       {
                           if(a2.get(i) == a1)
                           {
                               ans = i+1;
                               f = 1;
                               System.out.println("!" + " " + ans);
                               System.out.flush();
                               break;
                           }
                       }
                       if(f==1)
                           break;
                   }
                   else
                   {
                       b[pos] = a1;
                        a = new int[k];
                        a2.add(a1);
             for(int i=1;i<=n;i++)
            {
                if(b[i] != -1)
                {
                    
                    a[k1] = i;
                    a2.add(b[i]);
                    k1++;
                }
             
            }
              for(int i=1;i<=n;i++)
            {
                if(b[i] == -1)
                {
                    
                    a[k1] = i;
                    
                    k1++;
                    if(k1==k)
                        break;
                }
             
                       
                   }
              }
        }  
          */
             
 
    /*
          int n = sc.ni();
          int []a = sc.nia(n);
          int []b = sc.nia(n);
          Integer []d = new Integer[n];
          int []d1 = new int[n];
          for(int i=0;i<n;i++)
          {
              d[i] = (a[i] - b[i]);
             
          }
          int l = 0;
          int r = n-1;
          Arrays.sort(d);
          long res = 0;
          while(l < r)
          {
              if(d[l] + d[r] > 0)
              {
                  res += (long) (r-l);
                  r--;
              }
              else 
                  l++;
          }
          
          w.println(res);
*/
      /*
      int n = sc.ni();
     
      ArrayList<Integer> t1 = new ArrayList<>();
      int []p1 = new int[n+1];
      int []q1 = new int[n-1];
      int []q2 = new int[n-1];
      for(int i=0;i<n-1;i++)
      {
          int p = sc.ni();
          int q = sc.ni();
          t1.add(q);
          p1[p]++;
          q1[i] = p;
          q2[i] = q;
          
      }
      int res = 0;
      for(int i=0;i<t1.size();i++)
      {
          if(p1[t1.get(i)] == 0)
          {
              res = t1.get(i);
              //break;
          }
      }
      
    int y = 1;
    for(int i=0;i<n-1;i++)
    {
        if(q2[i] == res)
        {
            w.println("0");
        }
        else
        {
            w.println(y + " ");
            y++;
        }
    }
      */
 /*
   int n = sc.ni();
   int k = sc.ni();
   Integer []a = new Integer[n];
   for(int i=0;i<n;i++)
   {
       a[i] = sc.ni();
       a[i] = a[i]%k;
   }
   HashMap<Integer,Integer> hm = new HashMap<>();
   for(int i=0;i<n;i++)
   {
       if(!hm.containsKey(a[i]))
           hm.put(a[i], 1);
       else
           hm.put(a[i], hm.get(a[i]) + 1);
   }
  Arrays.sort(a);
  int z = 0;
  long res = 0;
  HashMap<Integer,Integer> v = new HashMap<>();
  for(int i=0;i<n;i++)
  {
      if(a[i] == 0)
          res++;
      else
      {
          if(a[i] == k-a[i] && !v.containsKey(a[i]))
          {
              res += (long) hm.get(a[i]) / 2;
              v.put(a[i],1);
          }
          else
          {
          if(hm.containsKey(a[i]) && hm.containsKey(k-a[i]))
          {
          int temp = a[i];
          
          if(!v.containsKey(a[i]) && !v.containsKey(k-a[i]))
          {
             res += (long) Math.min(hm.get(temp), hm.get(k-temp));
             v.put(temp,1);
             v.put(k-temp,1);
          }
          }
          }
      }
  }
  w.println(res);
*/
 /*
int []a = new int[4];
//G0
a[0] = 0;
a[1] = 1;
a[2] = 0;
a[3] = 1;
int []b = new int[4];
//g1
b[0] = 0;
b[1] = 1;
b[2] = 1;
b[3] = 0;
int [][]dp1 = new int[4][4];
int [][]dp2 = new int[4][4];
for(int i=0;i<4;i++)
{
    for(int j=0;j<4;j++)
    {
        dp1[i][j] = (a[i] | a[j]);
    }
   // w.println();
}
w.println();
for(int i=0;i<4;i++)
{
    for(int j=0;j<4;j++)
    {
        dp2[i][j] = (b[i] | b[j]);
    }
    //w.println();
}
int a1 = 0;
int b1 = 0;
int c1 = 0;
int d1 = 0;
for(int i=0;i<4;i++)
{
    for(int j=0;j<4;j++)
    {
        if(dp1[i][j] == 0 && dp2[i][j] == 0)
            a1++;
        else  if(dp1[i][j] == 1 && dp2[i][j] == 1)
            b1++;
        else  if(dp1[i][j] == 0 && dp2[i][j] == 1)
            c1++;
        else
            d1++;
       
    }
}
w.println(a1+ " " + b1 + " " + c1 +" "+ d1);

Scanner sc = new Scanner(System.in);
    int q = sc.nextInt();
    while(q-- > 0)
    {
        long x = sc.nextLong();
        long y = sc.nextLong();
        long a = (x - y)/2;  
        long a1 = 0, b1 = 0; 
        
        
        int lim     = 8; 
  
   
    int f = 0;
    
    for (int i=0; i<8*lim; i++)  
    {  
        long pi = (y & (1 << i));  
        long qi = (a & (1 << i));  
        if (pi == 0 && qi == 0)  
        {  
             
        }  
        else if (pi == 0 && qi > 0)  
        {  
            a1 = ((1 << i) | a1);  
            b1 = ((1 << i) | b1);  
        }  
        else if (pi > 0 && qi == 0)  
        {  
            a1 = ((1 << i) | a1);  
  
           
        }  
        else
        {  
            f = 1;  
            
        }  
    }  
    if(a1+b1 != x)
        f  =1;
  if(f==1)
            System.out.println("-1");
  else
  {
       if(a1 > b1)
       {
           long temp = a1;
           a1 = b1;
           b1 = temp;
       }
    System.out.println(a1 + " " + b1);
   
  }
  
  
    }
     
     */
int t = sc.ni();
while(t-- > 0)
{
   int n = sc.ni();
   if(n%2==0)
       w.println((n/2) + " " + (n/2));
   else
   {
       int ans = n-1;
       ArrayList<Integer> div = new ArrayList<>();
       for(int i=2;i*i <=n;i++)
       {
           if(n%i == 0)
           {
               div.add(i);
               div.add(n/i);
           }
       }
       int min = n-1;
       int a = 1;
       int b = n-1;
       for(int i=0;i<div.size();i++)
       {
           int temp = n-div.get(i);
           int max = Math.max(temp,div.get(i));
           int min1 = Math.min(temp,div.get(i));
           if(max % min1 == 0)
           {
               if(min > max)
               {
                   min = max;
                   a = min1;
                   b = max;
               }
               
           }
           
       }
       w.println(a + " "  +b);
   }
}

       w.close();
       
        
    
    
} 
  
   static int mex(int []arr)
   {
       boolean []x = new boolean[1001];
       for(int i=0;i<arr.length;i++)
       {
           x[arr[i]] = true;
       }
       int ans = 0;
       for(int i=0;i<1001;i++)
       {
           if(!x[i])
           {
               ans = i;
               break;
           }
       }
       
       return ans;
   }
  static int l,r;  
    static long nCrModPFermat(int n, int r, 
                                    long p) 
    { 
          
        // Base case 
        if (r == 0) 
            return 1; 
      
        // Fill factorial array so that we 
        // can find all factorial of r, n 
        // and n-r 
       
          
        
           
      
        return (fact[n]* modInverse(fact[r], p) % p * modInverse(fact[n-r], p) % p) % p; 
    } 
   static long []fact;
    static int []res;
    static int c = 0;
    static class Pair{
        int fir;
        int last;
       
        Pair(int fir,int last)
        {
            this.fir = fir;
            this.last = last;
            
        }
    }
    static class m1 implements Comparator<Pair>{
        public int compare(Pair a, Pair b)
        {
           
            if(a.fir < b.fir)
                return -1;
            else if(a.fir > b.fir)
                return 1;
            else
            {
                return 0;
            }
        }
    }
   
    static long calc(long x)
    {
        double res = Math.sqrt(1 + 24*(double)x);
        res -= 1.0;
        res = res / (double) 6;
        return (long) res;
    }
   
 public static final BigInteger MOD = BigInteger.valueOf(998244353L);
    
    static BigInteger fact(int x)
    {
        BigInteger res = BigInteger.ONE;
        for(int i=2;i<=x;i++)
        {
            res = res.multiply(BigInteger.valueOf(i)).mod(MOD);
        }
        return res;
    }
   
    public static long calc(int x,int y,int z)
    {
        long res = ((long) (x-y) * (long) (x-y)) + ((long) (z-y) * (long) (z-y)) + ((long) (x-z) * (long) (x-z));
        return res;
    }
    
    public static int upperBound(ArrayList<Integer>arr, int length, int value) {
        int low = 0;
        int high = length;
        while (low < high) {
            final int mid = (low + high) / 2;
            if (value >= arr.get(mid)) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        return low;
    }
    
     public static int lowerBound(ArrayList<Integer> arr, int length, int value) {
        int low = 0;
        int high = length;
        while (low < high) {
            final int mid = (low + high) / 2;
            //checks if the value is less than middle element of the array
            if (value <= arr.get(mid)) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }
        return low;
    }
    static HashMap<Long,Integer> map;
  
          
    static class Coin{
        long a;
        long b;
        
        Coin(long a, long b)
        {
            this.a = a;
            this.b = b;
           
        }
    }
    static ArrayList<Long> fac;
    static HashSet<Long> hs;
    public static void primeFactors(long n) 
    { 
        // Print the number of 2s that divide n 
        while (n % 2 == 0) { 
            fac.add(2l);
            hs.add(2l);
            n /= 2; 
        } 
  
        // n must be odd at this point.  So we can 
        // skip one element (Note i = i +2) 
        for (long i = 3; i*i <= n; i += 2) { 
            // While i divides n, print i and divide n 
            while (n % i == 0) { 
                fac.add(i);
                hs.add(i);
                n /= i; 
            } 
        } 
  
        // This condition is to handle the case whien 
        // n is a prime number greater than 2 
        if (n > 2) 
            fac.add(n);
    } 
   static int smallestDivisor(int n)  
{  
    // if divisible by 2  
    if (n % 2 == 0)  
        return 2;  
  
    // iterate from 3 to sqrt(n)  
    for (int i = 3; i * i <= n; i += 2) {  
        if (n % i == 0)  
            return i;  
    }  
  
    return n;  
}  
 static boolean IsP(String s,int l,int r)
 {
      while(l <= r)
      {
          if(s.charAt(l) != s.charAt(r))
          {
              return false;
          }
         l++;
         r--;
      }
      return true;
 }
  
	

    
    
 static class Student{
    int id;
    int val;
     Student(int id,int val)
     {
      this.id = id;
      this.val = val;
     }
 }
   
   
   
 
     static int upperBound(ArrayList<Integer> a, int low, int high, int element){
    while(low < high){
        int middle = low + (high - low)/2;
        if(a.get(middle) >= element)
            high = middle;
        else 
            low = middle + 1;
    }
    return low;
}
   static long func(long t,long e,long h,long a, long b)
   {
       if(e*a >= t)
           return t/a;
       else
       {
           return e + Math.min(h,(t-e*a)/b);
       }
   }
         
      
   
    public static int countSetBits(int number){
        int count = 0;
        while(number>0){
            ++count;
            number &= number-1;
        }
        return count;
    }
    
     
      
 
    
   
     static long modexp(long x,long n,long M)
{
    long power = n;
    long result=1;
    x = x%M;
    while(power>0)
    {
        if(power % 2 ==1)
            result=(result * x)%M;
        x=(x*x)%M;
        power = power/2;
    }
    return result;
}
      static long modInverse(long A,long M)
{
    return modexp(A,M-2,M);
}
    static long gcd(long a,long b)
    {
        if(a==0)
            return b;
        else
            return gcd(b%a,a);
    }
    static class Temp{
        int a;
        int b;
        int c;
        int d;
      
        Temp(int a,int b,int c,int d)
        {
            this.a = a;
            this.b = b;
            this.c  =c;
            this.d = d;
            //this.d = d;
        }
    }
   
    
    
   static long sum1(int t1,int t2,int x,int []t)
   {
       int mid = (t2-t1+1)/2;
  if(t1==t2)
      return 0;
    
   else
   return sum1(t1,mid-1,x,t) + sum1(mid,t2,x,t);
    
     
   }
  
   
    static String replace(String s,int a,int n)
    {
        char []c = s.toCharArray();
        for(int i=1;i<n;i+=2)
        {
            int num = (int) (c[i] - 48);
            num += a;
            num%=10;
            c[i] = (char) (num+48);
        }
        return new String(c);
    }
    static String move(String s,int h,int n)
    {
        h%=n;
        char []c = s.toCharArray();
        char []temp = new char[n];
        for(int i=0;i<n;i++)
        {
            temp[(i+h)%n] = c[i];
        }
        return new String(temp);
    }
    
     public static int ip(String s){
return Integer.parseInt(s);
}
     static class multipliers implements Comparator<Long>{
  
         
  public int compare(Long a,Long b) {
   if(a<b)
    return 1;
   else if(b<a)
    return -1;
   else
    return 0;
  }
 }
     
     static class multipliers1 implements Comparator<Coin>{
  
  public int compare(Coin a,Coin b) {
   if(a.a < b.a)
       return 1;
   else if(a.a > b.a)
       return -1;
   else{ 
       if(a.b < b.b)
       return 1;
   else if(a.b > b.b)
       return -1;
       else
       return 0;
   }
       
  
 
     }
     }
     
// Java program to generate power set in 
// lexicographic order. 
 
    
    
    
      static class InputReader {
 
private final InputStream stream;
private final byte[] buf = new byte[8192];
private int curChar, snumChars;
 
public InputReader(InputStream st) {
this.stream = st;
}
 
public int read() {
if (snumChars == -1)
throw new InputMismatchException();
if (curChar >= snumChars) {
curChar = 0;
try {
snumChars = stream.read(buf);
} catch (IOException e) {
throw new InputMismatchException();
}
if (snumChars <= 0)
return -1;
}
return buf[curChar++];
}
 
public int ni() {
int c = read();
while (isSpaceChar(c)) {
c = read();
}
int sgn = 1;
if (c == '-') {
sgn = -1;
c = read();
}
int res = 0;
do {
res *= 10;
res += c - '0';
c = read();
} while (!isSpaceChar(c));
return res * sgn;
}
 
public long nl() {
int c = read();
while (isSpaceChar(c)) {
c = read();
}
int sgn = 1;
if (c == '-') {
sgn = -1;
c = read();
}
long res = 0;
do {
res *= 10;
res += c - '0';
c = read();
} while (!isSpaceChar(c));
return res * sgn;
}
 
public int[] nia(int n) {
int a[] = new int[n];
for (int i = 0; i < n; i++) {
a[i] = ni();
}
return a;
}
 
public String rs() {
int c = read();
while (isSpaceChar(c)) {
c = read();
}
StringBuilder res = new StringBuilder();
do {
res.appendCodePoint(c);
c = read();
} while (!isSpaceChar(c));
return res.toString();
}
 
public String nextLine() {
int c = read();
while (isSpaceChar(c))
c = read();
StringBuilder res = new StringBuilder();
do {
res.appendCodePoint(c);
c = read();
} while (!isEndOfLine(c));
return res.toString();
}
 
public boolean isSpaceChar(int c) {
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
 
private boolean isEndOfLine(int c) {
return c == '\n' || c == '\r' || c == -1;
}
 
}
 
 
 
 
 
   
static PrintWriter w = new PrintWriter(System.out);
                  static class Student1
    {
        int id;
        //int x;
       
       int b;
      
        //long z;
        
        Student1(int id,int b)
        {
            this.id = id;
            //this.x = x;
            //this.s = s;
            this.b = b;
          
           // this.z = z;
            
            
            
           
        }
        
    }
}