#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } int main() { ll N; cin >> N; vector S(N); for (ll i = 0; i < N; i++) { cin >> S[i]; } vector rows(N, 0); vector cols(N, 0); for (ll i = 0; i < N; i++) { for (ll j = 0; j < N; j++) { if (S[i][j] == '#') { rows[i]++; cols[j]++; } } } for (ll i = 0; i < N; i++) { if (rows[i] % 2 == 1) { cout << -1 << endl; return 0; } if (cols[i] % 2 == 1) { cout << -1 << endl; return 0; } } vector> sums(N + 1, vector(N + 1, 0)); for (ll i = 0; i < N; i++) { for (ll j = 0; j < N; j++) { if (S[i][j] == '#') { sums[i + 1][j + 1] += 1; } sums[i + 1][j + 1] += (sums[i + 1][j] + sums[i][j + 1] - sums[i][j] + 2) % 2; sums[i + 1][j + 1] %= 2; } } vector rows2(N - 1); vector cols2(N - 1); for (ll i = 1; i < N; i++) { for (ll j = 1; j < N; j++) { if (sums[i][j] == 1) { rows2[i - 1] += 1; cols2[j - 1] += 1; rows2[i - 1] %= 2; cols2[j - 1] %= 2; } } } if (N % 2 == 1) { vector ans(0); for (ll i = 1; i < N; i++) { for (ll j = 1; j < N; j++) { if ((rows2[i - 1] + cols2[j - 1] + 2 - sums[i][j]) % 2 == 1) { ans.push_back(pll(i, j)); } } } ll len = ans.size(); cout << len << endl; for (ll i = 0; i < len; i++) { cout << ans[i].first << " " << ans[i].second << endl; } } else { bool all_odd = true; bool all_even = true; for (ll i = 0; i < N - 1; i++) { if (rows2[i] % 2 == 1 || cols2[i] % 2 == 1) { all_even = false; } if (rows2[i] % 2 == 0 || cols2[i] % 2 == 1) { all_odd = false; } } if (!all_odd && !all_even) { cout << -1 << endl; } else { vector ans(0); for (ll i = 1; i < N; i++) { for (ll j = 1; j < N; j++) { if (sums[i][j] == 1) { ans.push_back(pll(i, j)); } } } ll len = ans.size(); cout << len << endl; for (ll i = 0; i < len; i++) { cout << ans[i].first << " " << ans[i].second << endl; } } } }