/*input
2
5
*/
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;

#define int long long
#define double long double
#define f first
#define s second
#define mp make_pair
#define pb push_back

#define RE(i,n) for (int i = 1; i <= n; i++)
#define RED(i,n) for (int i = n; i > 0; i--)
#define REPS(i,n) for(int i = 1; (i*i) <= n; i++)
#define REP(i,n) for (int i = 0; i < (int)n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)

#define all(v) v.begin(),v.end()
#define pii pair<int,int>
#define vi vector<int>
#define vvi vector<vi>
#define print(arr) for (auto it = arr.begin(); it != arr.end(); ++it) cout << *it << " "; cout << endl;
#define debug(x) cout << x << endl;
#define debug2(x,y) cout << x << " " << y << endl;
#define debug3(x,y,z) cout << x << " " << y << " " << z << endl;

typedef tree<
int,
null_type,
less<int>,
rb_tree_tag,
tree_order_statistics_node_update>
ordered_set;

const int INF = 1e18+1;
const int MOD = 1e9+7;
const double PI = 3.14159265358979323846264338;

int raise(int a,int n,int m = MOD){
  if(n == 0)return 1;
  if(n == 1)return a;
  int x = 1;
    x *= raise(a,n/2,m);
    x %= m;
    x *= x;
    x %= m;
    if(n%2)x*= a;
    x %= m;
    return x;
}

int floor1(int n,int k){
    if(n%k == 0 || n >= 0)return n/k;
    return (n/k)-1;
}

int ceil1(int n,int k){
    return floor1(n+k-1,k);
}

const int N = 101;
int n;
vector<pii> edges;
int indeg[N];
bool mat[N][N];

void solve(){
    cin >> n;
    REP(i,n){
      REP(j,n)mat[i][j] = 0;
    }
    if(n%2 == 0){
      cout << "NO\n";
      return;
    }
    cout << "YES\n";
    REP(i,n)indeg[i]= 0;
    REP(i,n){
      RE(j,(n-1)/2){
        int send = (i+j)%n;
        mat[i][send] = 1;
        edges.pb({i,send});
        indeg[send]++;
      }
    }
    REP(i,n){
      assert(indeg[i] == (n-1)/2);
    }
    REP(i,n){
      REP(j,n)cout << mat[i][j];
      cout << endl;
    }
}

signed main(){
  ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
  int t = 1;
  cin >> t;
  while(t--){
    solve();
  }
  return 0;
}