#include <bits/stdc++.h>

int count(int n, const std::vector<std::vector<bool>> &data) {
    int cnt = 0;
    for (int i = 0; i < n; i++) {
        for (int j = i + 1; j < n; j++) {
            for (int k = j + 1; k < n; k++) {
                if (data[i][j] == data[j][k] && data[j][k] == data[k][i]) {
                    cnt++;
                }
            }
        }
    }
    return cnt;
}

std::mt19937 rnd;

void solve() {
    int n, m;
    std::cin >> n >> m;
    std::vector<std::vector<bool>> ans(n, std::vector<bool>(n));
    // clock_t beg = clock();
    if (m <= n - 2) {
        for (int i = 0; i < n; i++) {
            for (int j = i + 1; j < n; j++) {
                ans[i][j] = (i == 0 && j == m + 1);
                ans[j][i] = !ans[i][j];
            }
        }
        // std::cerr << count(n, ans) << " ";
        assert(count(n, ans) == m);
        std::cout << "Yes\n";
        for (int i = 1; i < n; i++) {
            for (int j = 0; j < i; j++) {
                std::cout << ans[i][j];
            }
            std::cout << std::endl;
        }
        return;
    }
    return;
    for (int t = 0; t < 1e8; t++) {
        for (int i = 0; i < n; i++) {
            for (int j = i + 1; j < n; j++) {
                int b = rnd() % int(1e9 + 7) % 2;
                ans[i][j] = b;
                ans[j][i] = !b;
            }
        }
        int cnt = count(n, ans);
        if (cnt == m) {
            std::cout << "Yes\n";
            for (int i = 1; i < n; i++) {
                for (int j = 0; j < i; j++) {
                    std::cout << ans[i][j];
                }
                std::cout << std::endl;
            }
            return;
        }
    }
    std::cout << "No\n";
}

int32_t main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int t;
    std::cin >> t;
    while (t--) {
        solve();
    }

    return 0;
}