CQXYM is counting permutations length of 2n.

A permutation is an array consisting of n distinct integers from 1 to n in arbitrary order. For example, [2,3,1,5,4] is a permutation, but [1,2,2] is not a permutation (2 appears twice in the array) and [1,3,4] is also not a permutation (n=3 but there is 4 in the array).

A permutation p(length of 2n) will be counted only if the number of i satisfying p_i<p_{i+1} is no less than n. For example:

  * Permutation [1, 2, 3, 4] will count, because the number of such i that p_i<p_{i+1} equals 3 (i = 1, i = 2, i = 3).
  * Permutation [3, 2, 1, 4] won't count, because the number of such i that p_i<p_{i+1} equals 1 (i = 3). 



CQXYM wants you to help him to count the number of such permutations modulo 1000000007 (10^9+7).

In addition, [modulo operation](https://en.wikipedia.org/wiki/Modulo_operation) is to get the remainder. For example:

  * 7 mod 3=1, because 7 = 3 ⋅ 2 + 1, 
  * 15 mod 4=3, because 15 = 4 ⋅ 3 + 3. 

Input

The input consists of multiple test cases. 

The first line contains an integer t (t ≥ 1) — the number of test cases. The description of the test cases follows.

Only one line of each test case contains an integer n(1 ≤ n ≤ 10^5).

It is guaranteed that the sum of n over all test cases does not exceed 10^5

Output

For each test case, print the answer in a single line.

Example

Input


4
1
2
9
91234


Output


1
12
830455698
890287984

Note

n=1, there is only one permutation that satisfies the condition: [1,2].

In permutation [1,2], p_1<p_2, and there is one i=1 satisfy the condition. Since 1 ≥ n, this permutation should be counted. In permutation [2,1], p_1>p_2. Because 0<n, this permutation should not be counted.

n=2, there are 12 permutations: [1,2,3,4],[1,2,4,3],[1,3,2,4],[1,3,4,2],[1,4,2,3],[2,1,3,4],[2,3,1,4],[2,3,4,1],[2,4,1,3],[3,1,2,4],[3,4,1,2],[4,1,2,3].
import java.util.*;
import java.lang.*;
import java.io.*;
public class Main  
{
    static FastReader sc =new FastReader();
    static int mod=1000000007;
    
       public static void main(String [] args)
    {
        PrintWriter out=new PrintWriter(System.out);
		StringBuilder sb = new StringBuilder();
        int t = i();
        while(t-->0)
        {
            long n = l();
            long ans = 1;
            for(long i = 3;i<=2*n;i++)
            {
                ans = (ans*i)%mod;
            }
            System.out.println(ans);
        }
            
        out.close();
    
}
   
    
    static class FastReader 
    { 
        BufferedReader br; 
        StringTokenizer st; 

        public FastReader() 
        { 
            br = new BufferedReader(new
                     InputStreamReader(System.in)); 
        } 

        String next() 
        { 
            while (st == null || !st.hasMoreElements()) 
            { 
                try
                { 
                    st = new StringTokenizer(br.readLine()); 
                } 
                catch (IOException  e) 
                { 
                    e.printStackTrace(); 
                } 
            } 
            return st.nextToken(); 
        } 

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

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

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

        String nextLine() 
        { 
            String str = ""; 
            try
            { 
                str = br.readLine(); 
            } 
            catch (IOException e) 
            { 
                e.printStackTrace(); 
            } 
            return str; 
        } 
    } 

    static int i() {
        return sc.nextInt();
    }

    static String s() {
        return sc.next();
    }

    static long l() {
        return sc.nextLong();
    }

    static char[] inputC()
    {
        String s = sc.nextLine();
        return s.toCharArray();
    }

    static int[] input(int n) {
        int A[]=new int[n];
           for(int i=0;i<n;i++) {
               A[i]=sc.nextInt();
           }
        return A;
    }

    static long[] inputL(int n) {
        long A[]=new long[n];
           for(int i=0;i<n;i++) {
               A[i]=sc.nextLong();
           }
           return A;
    }

    static long[] putL(long a[]) {
        long A[]=new long[a.length];
           for(int i=0;i<a.length;i++) {
               A[i]=a[i];
           }
           return A;
    }

    static String[] inputS(int n) {
        String A[]=new String[n];
           for(int i=0;i<n;i++) {
               A[i]=sc.next();
           }
           return A;
    }
    // static List<Integer> sort(List<Integer> list)
    // {
    //     Collections.sort(list);
    //     return list;
    // }

    // static List<Integer> sortR(List<Integer> list)
    // {
    //     Collections.sort(list,Collections.reverseOrder());
    //     return list;
    // }

    // static List<Long> sort(List<Long> list)
    // {
    //     Collections.sort(list);
    //     return list;
    // }

    // static List<Long> sortR(List<Long> list)
    // {
    //     Collections.sort(list,Collections.reverseOrder());
    //     return list;
    // }

    // static List<String> sortS(List<String> list)
    // {
    //     Collections.sort(list);
    //     return list;
    // }

    // static List<String> sortRS(List<String> list)
    // {
    //     Collections.sort(list,Collections.reverseOrder());
    //     return list;
    // }

    static int gcd(int a, int b) 
     { 
         if (a == 0) 
             return b; 
         return gcd(b % a, a); 
     } 

     static long gcd(long a, long b) 
     { 
         if (a == 0) 
             return b; 
         return gcd(b % a, a); 
     } 

     
    
     static String reverse(String s) {
        StringBuffer p=new StringBuffer(s);
        p.reverse();
        return p.toString();
     }

     static int min(int a,int b) {
        return Math.min(a, b);
    }
    static int min(int a,int b,int c) {
        return Math.min(a, Math.min(b, c));
    }
    static int min(int a,int b,int c,int d) {
        return Math.min(a, Math.min(b, Math.min(c, d)));
    }

    static int max(int a,int b) {
        return Math.max(a, b);
    }
    static int max(int a,int b,int c) {
        return Math.max(a, Math.max(b, c));
    }
    static int max(int a,int b,int c,int d) {
        return Math.max(a, Math.max(b, Math.max(c, d)));
    }
    static long min(long a,long b) {
        return Math.min(a, b);
    }
    static long min(long a,long b,long c) {
        return Math.min(a, Math.min(b, c));
    }
    static long min(long a,long b,long c,long d) {
        return Math.min(a, Math.min(b, Math.min(c, d)));
    }
    static long max(long a,long b) {
        return Math.max(a, b);
    }
    static long max(long a,long b,long c) {
        return Math.max(a, Math.max(b, c));
    }
    static long max(long a,long b,long c,long d) {
        return Math.max(a, Math.max(b, Math.max(c, d)));
    }

    static long sum(int A[]) {
        long sum=0;
        for(int i : A) {
            sum+=i;
        }
        return sum;
    }

    static long sum(long A[]) {
        long sum=0;
        for(long i : A) {
            sum+=i;
        }
        return sum;
    }

    static void print(int A[]) {
        for(int i : A) {
            System.out.print(i+" ");
        }
        System.out.println();
    }

    static void print(long A[]) {
        for(long i : A) {
            System.out.print(i+" ");
        }
        System.out.println();
    }

    static long mod(long x) {
          return ((x%mod + mod)%mod);
    }

    static long power(long x, long y)
    {

	if(y==0)
		return 1;
	if(x==0)
		return 0;
    long res = 1;
    while (y > 0) {

        if (y % 2 == 1)
            res = (res * x) ;

        y = y >> 1; 
        x = (x * x);
    }

    return res;
    }

    static boolean prime(int n) 
	    { 
	        if (n <= 1) 
	            return false; 
	        if (n <= 3) 
	            return true; 
	        if (n % 2 == 0 || n % 3 == 0) 
	            return false; 
	        double sq=Math.sqrt(n);
	  
	        for (int i = 5; i <= sq; i = i + 6) 
	            if (n % i == 0 || n % (i + 2) == 0) 
	                return false; 
	        return true; 
	    } 

     static boolean prime(long n) 
	    { 
	        if (n <= 1) 
	            return false; 
	        if (n <= 3) 
	            return true; 
	        if (n % 2 == 0 || n % 3 == 0) 
	            return false; 
	        double sq=Math.sqrt(n);
	  
	        for (int i = 5; i <= sq; i = i + 6) 
	            if (n % i == 0 || n % (i + 2) == 0) 
	                return false; 
	        return true; 
	    } 

    /************************** (for permutation of string )************************/
        // public static TreeSet<String>set=new TreeSet<>();
        // static void permute(String s , String answer)
        // {
        //     if (s.length() == 0)
        //     {
        //         set.add(answer);
        //         return ;
        //     }
            
        //     for(int i = 0 ;i < s.length(); i++)
        //     {
        //         char ch = s.charAt(i);
        //         String left_substr = s.substring(0, i);
        //         String right_substr = s.substring(i + 1);
        //         String rest = left_substr + right_substr;
        //         permute(rest, answer + ch);
        //     }
        // }
    /**************************************************************************/

    
}