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;
static struct FastInput {
  static constexpr int BUF_SIZE = 1 << 20;
  char buf[BUF_SIZE];
  size_t chars_read = 0;
  size_t buf_pos = 0;
  FILE* in = stdin;
  char cur = 0;
  inline char get_char() {
    if (buf_pos >= chars_read) {
      chars_read = fread(buf, 1, BUF_SIZE, in);
      buf_pos = 0;
      buf[0] = (chars_read == 0 ? -1 : buf[0]);
    }
    return cur = buf[buf_pos++];
  }
  inline void tie(int) {}
  inline explicit operator bool() { return cur != -1; }
  inline static bool is_blank(char c) { return c <= ' '; }
  inline bool skip_blanks() {
    while (is_blank(cur) && cur != -1) {
      get_char();
    }
    return cur != -1;
  }
  inline FastInput& operator>>(char& c) {
    skip_blanks();
    c = cur;
    return *this;
  }
  inline FastInput& operator>>(string& s) {
    if (skip_blanks()) {
      s.clear();
      do {
        s += cur;
      } while (!is_blank(get_char()));
    }
    return *this;
  }
  template <typename T>
  inline FastInput& read_integer(T& n) {
    n = 0;
    if (skip_blanks()) {
      int sign = +1;
      if (cur == '-') {
        sign = -1;
        get_char();
      }
      do {
        n += n + (n << 3) + cur - '0';
      } while (!is_blank(get_char()));
      n *= sign;
    }
    return *this;
  }
  template <typename T>
  inline typename enable_if<is_integral<T>::value, FastInput&>::type operator>>(
      T& n) {
    return read_integer(n);
  }
  inline FastInput& operator>>(__int128& n) { return read_integer(n); }
  template <typename T>
  inline typename enable_if<is_floating_point<T>::value, FastInput&>::type
  operator>>(T& n) {
    n = 0;
    if (skip_blanks()) {
      string s;
      (*this) >> s;
      sscanf(s.c_str(), "%lf", &n);
    }
    return *this;
  }
} fast_input;
static struct FastOutput {
  static constexpr int BUF_SIZE = 1 << 20;
  char buf[BUF_SIZE];
  size_t buf_pos = 0;
  static constexpr int TMP_SIZE = 1 << 20;
  char tmp[TMP_SIZE];
  FILE* out = stdout;
  inline void put_char(char c) {
    buf[buf_pos++] = c;
    if (buf_pos == BUF_SIZE) {
      fwrite(buf, 1, buf_pos, out);
      buf_pos = 0;
    }
  }
  ~FastOutput() { fwrite(buf, 1, buf_pos, out); }
  inline FastOutput& operator<<(char c) {
    put_char(c);
    return *this;
  }
  inline FastOutput& operator<<(const char* s) {
    while (*s) {
      put_char(*s++);
    }
    return *this;
  }
  inline FastOutput& operator<<(const string& s) {
    for (int i = 0; i < (int)s.size(); i++) {
      put_char(s[i]);
    }
    return *this;
  }
  template <typename T>
  inline char* integer_to_string(T n) {
    char* p = tmp + TMP_SIZE - 1;
    if (n == 0) {
      *--p = '0';
    } else {
      bool is_negative = false;
      if (n < 0) {
        is_negative = true;
        n = -n;
      }
      while (n > 0) {
        *--p = (char)('0' + n % 10);
        n /= 10;
      }
      if (is_negative) {
        *--p = '-';
      }
    }
    return p;
  }
  template <typename T>
  inline typename enable_if<is_integral<T>::value, char*>::type stringify(T n) {
    return integer_to_string(n);
  }
  inline char* stringify(__int128 n) { return integer_to_string(n); }
  template <typename T>
  inline typename enable_if<is_floating_point<T>::value, char*>::type stringify(
      T n) {
    sprintf(tmp, "%.17f", n);
    return tmp;
  }
  template <typename T>
  inline FastOutput& operator<<(const T& n) {
    auto p = stringify(n);
    for (; *p != 0; p++) {
      put_char(*p);
    }
    return *this;
  }
} fast_output;
int main() {
  ios::sync_with_stdio(false);
  fast_input.tie(0);
  int tt;
  fast_input >> tt;
  while (tt--) {
    auto Prime = [&](int x) {
      for (int i = 2; i * i <= x; i++) {
        if (x % i == 0) {
          return false;
        }
      }
      return true;
    };
    int n;
    fast_input >> n;
    if (Prime(n)) {
      for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
          if (j > 0) {
            fast_output << " ";
          }
          fast_output << 1;
        }
        fast_output << '\n';
      }
      continue;
    }
    vector<int> a = {1, 1};
    for (int i = 0; i < n - 2; i++) {
      a.push_back(0);
    }
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < n; j++) {
        if (j > 0) {
          fast_output << " ";
        }
        fast_output << a[j];
      }
      fast_output << '\n';
      rotate(a.begin(), a.begin() + 1, a.end());
    }
  }
  return 0;
}