#include using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int T; if (!(cin >> T)) return 0; while (T--) { int n; cin >> n; vector s(n); for (int i = 0; i < n; ++i) cin >> s[i]; bool ok = true; for (int i = 0; i < n && ok; ++i) { if (s[i][i] != '1') ok = false; for (int j = i + 1; j < n; ++j) if (s[i][j] == '1' && s[j][i] == '1') ok = false; } if (!ok) { cout << "No\n"; continue; } // descendants lists vector> desc(n); vector cnt(n); for (int i = 0; i < n; ++i) { int c = 0; for (int j = 0; j < n; ++j) if (s[i][j] == '1') ++c; cnt[i] = c; } for (int i = 0; i < n; ++i) desc[i].reserve(cnt[i]); for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) if (s[i][j] == '1') desc[i].push_back(j); // topological order: if u reaches v, then |Desc(v)| < |Desc(u)| vector order(n); iota(order.begin(), order.end(), 0); sort(order.begin(), order.end(), [&](int a, int b) { return cnt[a] > cnt[b]; }); vector seen(n, 0); vector> edges; edges.reserve(n - 1); for (int i = 0; i < n && (int)edges.size() < n; ++i) { int cur = i + 1; seen[i] = cur; // i itself is not a child of i for (int v : order) { if (s[i][v] != '1' || seen[v] == cur) continue; edges.emplace_back(i, v); if ((int)edges.size() >= n) break; for (int w : desc[v]) seen[w] = cur; } } if ((int)edges.size() != n - 1) { cout << "No\n"; continue; } vector> out(n), und(n); for (auto [x, y] : edges) { out[x].push_back(y); und[x].push_back(y); und[y].push_back(x); } // check connectedness vector vis(n, 0); vector st; st.reserve(n); st.push_back(0); vis[0] = 1; int visited = 0; while (!st.empty()) { int u = st.back(); st.pop_back(); ++visited; for (int w : und[u]) if (!vis[w]) { vis[w] = 1; st.push_back(w); } } if (visited != n) { cout << "No\n"; continue; } // verify reachability vector reach(n); for (int u = 0; u < n && ok; ++u) { fill(reach.begin(), reach.end(), 0); vector stack; stack.reserve(n); stack.push_back(u); reach[u] = 1; while (!stack.empty()) { int x = stack.back(); stack.pop_back(); for (int y : out[x]) if (!reach[y]) { reach[y] = 1; stack.push_back(y); } } for (int v = 0; v < n; ++v) if ((s[u][v] == '1') != reach[v]) { ok = false; break; } } if (!ok) { cout << "No\n"; continue; } cout << "Yes\n"; for (auto [x, y] : edges) cout << x + 1 << ' ' << y + 1 << '\n'; } return 0; }