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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
void err(istream_iterator<string> it) {}
template <typename T, typename... Args>
void err(istream_iterator<string> it, T a, Args... args) {
  cerr << ' ' << *it << " = " << a;
  err(++it, args...);
}
template <typename T, typename U>
inline void min_self(T& x, U y) {
  if (y < x) x = y;
}
template <typename T, typename U>
inline void max_self(T& x, U y) {
  if (x < y) x = y;
}
template <class T1, class T2>
ostream& operator<<(ostream& out, pair<T1, T2> pair) {
  return out << "(" << pair.first << ", " << pair.second << ")";
}
template <class T>
ostream& operator<<(ostream& out, vector<T> vec) {
  for (auto& v : vec) out << v << ' ';
  return out << "\n";
}
template <class T>
ostream& operator<<(ostream& out, set<T> vec) {
  out << "(";
  for (auto& v : vec) out << v << ", ";
  return out << ")";
}
template <class L, class R>
ostream& operator<<(ostream& out, map<L, R> vec) {
  out << "(";
  for (auto& v : vec) out << "[" << v.first << ", " << v.second << "]";
  return out << ")";
}
template <class A, class B>
istream& operator>>(istream& in, pair<A, B>& a) {
  return in >> a.first >> a.second;
}
template <class A>
istream& operator>>(istream& in, vector<A>& a) {
  for (A& i : a) in >> i;
  return in;
}
template <class Container>
void split(const std::string& str, Container& cont, char delim = ',') {
  stringstream ss(str);
  string token;
  while (std::getline(ss, token, delim)) {
    cont.push_back(token);
  }
}
long long px[4] = {-1, 0, 1, 0};
long long py[4] = {0, -1, 0, 1};
struct edge {
  long long u, v, wt;
  edge(long long a = 0, long long b = 0, long long c = 0) : u(a), v(b), wt(c) {}
  bool operator<(edge const& other) { return wt < other.wt; }
  friend ostream& operator<<(ostream& out, const edge& x) {
    return out << "(" << x.u << ", " << x.v << ", " << x.wt << ")";
  }
};
void abcd() {
  long long n, res = 0;
  cin >> n;
  vector<long long> a(2 * n + 1, 0);
  a[n] = 4;
  a[n - 1] = 1;
  a[2 * n] = 4;
  a[2 * n - 1] = 1;
  for (long long i = 1; i <= n; i++) {
    for (long long j = i; j <= i + n - 1; j++) {
      cout << a[j] << ' ';
    }
    cout << '\n';
  }
  return;
}
int32_t main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  long long t = 1;
  cin >> t;
  while (t--) {
    abcd();
  }
  return 0;
}