Problem: Sasha likes investigating different math objects, for example, magic squares. But Sasha understands that magic squares have already been studied by hundreds of people, so he sees no sense of studying them further. Instead, he invented his own type of square — a prime square. 

A square of size n × n is called prime if the following three conditions are held simultaneously: 

  * all numbers on the square are non-negative integers not exceeding 10^5; 
  * there are no prime numbers in the square; 
  * sums of integers in each row and each column are prime numbers. 



Sasha has an integer n. He asks you to find any prime square of size n × n. Sasha is absolutely sure such squares exist, so just help him!

Input

The first line contains a single integer t (1 ≤ t ≤ 10) — the number of test cases.

Each of the next t lines contains a single integer n (2 ≤ n ≤ 100) — the required size of a square.

Output

For each test case print n lines, each containing n integers — the prime square you built. If there are multiple answers, print any.

Example

Input


2
4
2


Output


4 6 8 1
4 9 9 9
4 10 10 65
1 4 4 4
1 1
1 1

Solution (in JAVA):

Solution:
import java.io.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.PriorityQueue;
import java.util.Random;
import java.util.StringTokenizer;
import java.util.HashMap;
import java.util.Iterator;
import java.util.Map;

public class Main {

public static void main(String[] args){
 
   new Thread(null, null, "Anshum Gupta", 99999999) {
        public void run() {
            try {
                solve();
            } catch(Exception e) {
                e.printStackTrace();
                System.exit(1);
            }
        }
    }.start();
}
 
static final long mxx = (long)(1e18 + 5), MOD = 998244353;
static final int mxN = (int)(1e6), mxV = (int)(1e6), log = 18, INF = (int)1e9;
static boolean[]vis;
static int n, m, q, k;
static char[] str;
static boolean[] isPrime;

public static void solve() throws Exception {
	   // solve the problem here
		s = new MyScanner();
   		out = new MyWriter(new BufferedOutputStream(System.out));
//	   		out = new PrintWriter("output.txt");
        int tc = s.nextInt();   
        isPrime = new boolean[100000];
        Arrays.fill(isPrime, true);
        isPrime[0] = isPrime[1] = false;
        for(int i = 2; i < 100000; i++) {
        	if(isPrime[i]) {
        		for(int j = 2 * i; j < 100000; j += i) isPrime[j] = false;
        	}
        }
    	for(int i=1; i<=tc; i++) {
//        	out.print("Case #" + i + ": ");
    		testcase();
    	}
          
        out.flush();
        out.close();
}



static void testcase() {
	n = s.nextInt();
	
	// make a construction in such a way that no row has prime sum or any column 
	// (n - 1) 1's next prime - (n - 1)
	
	int[][] ans = new int[n][n];
	int nextBiggerPrime = getNextBiggerPrime(n - 1);
	
	for(int i = 0; i < n - 1; i++) {
		for(int j = 0; j < n - 1; j++) ans[i][j] = 1;		
	}
	
	for(int i = 0; i < n; i++) ans[i][n - 1] = nextBiggerPrime - (n - 1);
	for(int i = 0; i < n; i++) ans[n - 1][i] = nextBiggerPrime - (n - 1);
	
	int secondNextBiggerPrime = getNextBiggerPrime( (nextBiggerPrime - (n - 1)) * (n - 1));
	
	ans[n - 1][n - 1] = secondNextBiggerPrime - (nextBiggerPrime - (n - 1)) * (n - 1);
	
	for(int i = 0; i < n; i++) {
		for(int j = 0; j < n; j++) out.print(ans[i][j] + " ");
		out.println();
	}
	
	
	
	
}


private static int getNextBiggerPrime(int i) {
	for(int j = i + 1; ; j++) {
		if(isPrime[j] && !isPrime[j - i]) {
			return j;
		}
	}
}

public static MyWriter out;
public static MyScanner s;
static void shuffleArray(int[] a) {
	Random random = new Random();
	for (int i = a.length-1; i > 0; i--) {
		int index = random.nextInt(i + 1);
		int tmp = a[index];
		a[index] = a[i];
		a[i] = tmp;
	}
}
static void shuffleSort(int[] a) {
	shuffleArray(a);
	Arrays.parallelSort(a);
}
static class MyScanner {
 
    BufferedReader br;
    StringTokenizer st;
 
    public MyScanner() {
        br = new BufferedReader(new InputStreamReader(System.in));
    }
    public MyScanner(String fileName) {
    	try {
			br = new BufferedReader(new FileReader(fileName));
		} catch (FileNotFoundException e) {
			e.printStackTrace();
		}
    }
    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()); }
    int[] nextIntArray(int n){
    	int[]a = new int[n];
    	for(int i=0; i<n; i++) {
    		a[i] = this.nextInt();
    	}
    	return a;
    }
    long[] nextlongArray(int n) {
    	long[]a = new long[n];
    	for(int i=0; i<n; i++) {
    		a[i] = this.nextLong();
    	}
    	return a;
    }
    Integer[] nextIntegerArray(int n){
    	Integer[]a = new Integer[n];
    	for(int i=0; i<n; i++) {
    		a[i] = this.nextInt();
    	}
    	return a;
    }
    Long[] nextLongArray(int n) {
    	Long[]a = new Long[n];
    	for(int i=0; i<n; i++) {
    		a[i] = this.nextLong();
    	}
    	return a;
    }
    char[][] next2DCharArray(int n, int m){
    	char[][]arr = new char[n][m];
    	for(int i=0; i<n; i++) {
    		arr[i] = this.next().toCharArray();
    	}
    	return arr;
    }
    ArrayList<ArrayList<Integer>> readUndirectedUnweightedGraph(int n, int m) {
    	ArrayList<ArrayList<Integer>>adj = new ArrayList<ArrayList<Integer>>();
    	for(int i=0; i<=n; i++)adj.add(new ArrayList<Integer>());
    	for(int i=0; i<m; i++) {
    		int u = s.nextInt();
    		int v = s.nextInt();
    		adj.get(u).add(v);
    		adj.get(v).add(u);
    	}
    	return adj;
    }
    ArrayList<ArrayList<Integer>> readDirectedUnweightedGraph(int n, int m) {
    	ArrayList<ArrayList<Integer>>adj = new ArrayList<ArrayList<Integer>>();
    	for(int i=0; i<=n; i++)adj.add(new ArrayList<Integer>());
    	for(int i=0; i<m; i++) {
    		int u = s.nextInt();
    		int v = s.nextInt();
    		adj.get(u).add(v);
    	}
    	return adj;
    }
    String nextLine(){
        String str = "";
        try {
            str = br.readLine();
        } catch (IOException e) {
            e.printStackTrace();
        }
        return str;
    }
}
 
static class MyWriter extends PrintWriter {
    MyWriter(OutputStream out) {
        super(out);
    }
    void println(int[] x) {
        println(x, " ");
    }
    void println(int[] x, String delimiter) {
        if (x.length > 0) {
            print(x[0]);
            for (int i = 1; i < x.length; i++) {
                print(delimiter);
                print(x[i]);
            }
        }
        println();
    }
    void println(long[] x) {
        println(x, " ");
    }
    void println(long[] x, String delimiter) {
        if (x.length > 0) {
            print(x[0]);
            for (int i = 1; i < x.length; i++) {
                print(delimiter);
                print(x[i]);
            }
        }
        println();
    }
    void println(Iterable<?> iterable) {
        println(iterable, " ");
    }
    void println(Iterable<?> iterable, String delimiter) {
        Iterator<?> i = iterable.iterator();
        if (i.hasNext()) {
            print(i.next());
            while (i.hasNext()) {
                print(delimiter);
                print(i.next());
            }
        }
        println();
    }
    void printLines(int[] x) {
        println(x, System.lineSeparator());
    }
    void printLines(long[] x) {
        println(x, System.lineSeparator());
    }
    void printLines(Iterable<?> iterable) {
        println(iterable, System.lineSeparator());
    }
}
 
}