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].
//package codeforces;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;
public class codeforces{ 
	public static void main(String[] args){
    	FastScanner s=new FastScanner();
    	PrintWriter out=new PrintWriter(System.out);
    	int t=s.nextInt();
    	for(int tt=0;tt<t;tt++) {
    		long n=s.nextLong();
    		long ans=1;
    		for(long i=3;i<=2*n;i++) {
    			ans*=i;
    			ans%=1000000007;
    		}
    		out.println(ans);
    	}
    	out.close();
	}
	static boolean isPrime(int n){
        if (n <= 1)
            return false;
        else if (n == 2)
            return true;
        else if (n % 2 == 0)
            return false;
        for (int i = 3; i <= Math.sqrt(n); i += 2){
            if (n % i == 0)
                return false;
        }
        return true;
    }
	public static void printb(boolean ans) {
		if(ans) {
			System.out.println("Yes");
		}else {
			System.out.println("No");
		}
	}
	static class DisjointSet {
		int parent[],rank[];
		public DisjointSet(int n) {
			parent=new int[n];
			rank=new int[n];
			for(int i=0;i<n;i++) {
				parent[i]=i;rank[i]=0;
			}
		}
		public int find(int i) {
			if(parent[i]==i) {
				return i;
			}
			return parent[i]=find(parent[i]);
		}
		public void union(int a, int b) {
			int x=find(a);
			int y=find(b);
			if(x==y) {
				return;
			}
			if(rank[x]<rank[y]) {
				parent[x]=y;
			}else if(rank[y]<rank[x]) {
				parent[y]=x;
			}else {
				parent[y]=x;
				rank[x]++;
			}
		}
	}
    static void sort(long [] a) {
		ArrayList<Long> l=new ArrayList<>();
		for (long i:a) l.add(i);
		Collections.sort(l);
		for (int i=0; i<a.length; i++) a[i]=l.get(i);
	}
    static void sort(int [] a) {
		ArrayList<Integer> l=new ArrayList<>();
		for (int i:a) l.add(i);
		Collections.sort(l);
		for (int i=0; i<a.length; i++) a[i]=l.get(i);
	}
    static int gcd(int a, int b){
      if (b == 0)
        return a;
      return gcd(b, a % b);
    }
    static void sortcol(int a[][],int c) {
		Arrays.sort(a, (x, y) -> {
			if(x[c]>y[c]) {
				return 1;
			}else {
				return -1;
			}
		});
	}
    static class FastScanner {
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		StringTokenizer st=new StringTokenizer("");
		String next() {
			while (!st.hasMoreTokens())
				try {
					st=new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			return st.nextToken();
		}
		double nextDouble() {
			return Double.parseDouble(next());
		}
		int nextInt() {
			return Integer.parseInt(next());
		}
		boolean nextBoolean() {
			return Boolean.parseBoolean(next());
		}
		int[] readArray(int n) {
			int[] a=new int[n];
			for (int i=0; i<n; i++) a[i]=nextInt();
			return a;
		}
		long nextLong() {
			return Long.parseLong(next());
		}
		long[] readLongArray(int n) {
			long[] a=new long[n];
			for (int i=0; i<n; i++) a[i]=nextLong();
			return a;
		}
	}
    static class Pair implements Comparable<Pair>{
    	int t,fi,si ; 
    	Pair(int a,int b,int c){
    		this.t=a;
    		this.fi=b;
    		this.si=c;
    	}
    	public int compareTo(Pair o) {
    		return t-o.t;
    	}
    }
}
