#pragma GCC optimize ("O3") //#pragma GCC target ("avx") #include "bits/stdc++.h" using namespace std; using ll = long long int; #define debug(v) {printf("L%d %s > ",__LINE__,#v);cout<<(v)< ",__LINE__,#v);for(auto e:(v)){cout< ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout<\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){cout<<(m)[y][x]<<" ";}cout<::type cnt=0;(cnt)<(l);++(cnt)) #define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt)) #define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt)) #define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt)) const ll MD = 1000000007ll; const long double PI = 3.1415926535897932384626433832795L; inline void assert_call(bool assertion, function f) { if (!assertion) { cerr << "assertion fault:" << endl; f(); abort(); } } template inline ostream& operator <<(ostream &o, const pair p) { o << '(' << p.first << ':' << p.second << ')'; return o; } template inline ostream& _ostream_vecprint(ostream &o, const Vec& p) { o << '['; for (auto& e : p) o << e << ','; o << ']'; return o; } template inline ostream& operator<<(ostream& o, const vector& v) { return _ostream_vecprint(o, v); } template inline ostream& operator<<(ostream& o, const array& v) { return _ostream_vecprint(o, v); } template inline T& maxset(T& to, const T& val) { return to = max(to, val); } template inline T& minset(T& to, const T& val) { return to = min(to, val); } void bye(string s, int code = 0) { cout << s << endl; exit(code); } struct XorShift { using result_type = uint64_t; result_type x_; XorShift(result_type x = 88172645463325252ull) :x_(x) {}; static constexpr inline result_type min() { return 0ull; } static constexpr inline result_type max() { return numeric_limits::max(); } inline result_type operator()() { x_ ^= x_ << 7; return x_ ^= x_ >> 9; } inline void discard(unsigned long long z) { while (z--) operator()(); } }; XorShift randdev; template inline T rand(T l, T h) { return uniform_int_distribution(l, h)(randdev); } template<> inline double rand(double l, double h) { return uniform_real_distribution(l, h)(randdev); } template<> inline float rand(float l, float h) { return uniform_real_distribution(l, h)(randdev); } #if defined(_WIN32) || defined(_WIN64) #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #elif defined(__GNUC__) #else #define getchar_unlocked getchar #define putchar_unlocked putchar #endif namespace { #define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E) class MaiScanner { public: template void input_integer(T& var) { var = 0; T sign = 1; int cc = getchar_unlocked(); for (; cc<'0' || '9'>(int& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(long long& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getchar_unlocked(); for (; !isvisiblechar(cc); cc = getchar_unlocked()); for (; isvisiblechar(cc); cc = getchar_unlocked()) var.push_back(cc); return *this; } template void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; class MaiPrinter { public: template void output_integer(T var) { if (var == 0) { putchar_unlocked('0'); return; } if (var < 0) putchar_unlocked('-'), var = -var; char stack[32]; int stack_p = 0; while (var) stack[stack_p++] = '0' + (var % 10), var /= 10; while (stack_p) putchar_unlocked(stack[--stack_p]); } inline MaiPrinter& operator<<(char c) { putchar_unlocked(c); return *this; } inline MaiPrinter& operator<<(int var) { output_integer(var); return *this; } inline MaiPrinter& operator<<(long long var) { output_integer(var); return *this; } inline MaiPrinter& operator<<(char* str_p) { while (*str_p) putchar_unlocked(*(str_p++)); return *this; } inline MaiPrinter& operator<<(const string& str) { const char* p = str.c_str(); const char* l = p + str.size(); while (p < l) putchar_unlocked(*p++); return *this; } template void join(IT begin, IT end, char sep = '\n') { for (auto it = begin; it != end; ++it) *this << *it << sep; } }; } MaiScanner scanner; MaiPrinter printer; #define TIME chrono::system_clock::now() #define MILLISEC(t) (chrono::duration_cast(t).count()) class DGraphF { public: typedef int cap_t; size_t n_; struct Arc { int from, to; // 残量 cap_t left; // 容量 cap_t cap; Arc(int from = 0, int to = 0, cap_t w = 1) :from(from), to(to), left(w), cap(w) {} inline bool operator<(const Arc& a) const { return (left != a.left) ? left < a.left : (left> vertex_to; vector> vertex_from; vector edges; DGraphF(int n = 1) :n_(n), vertex_to(n), vertex_from(n) { } void connect(int from, int to, cap_t left) { vertex_to[(size_t)from].push_back((int)edges.size()); // toto vertex_from[(size_t)to].push_back((int)edges.size()); // fromfrom edges.emplace_back(from, to, left); } }; void dinic(DGraphF &graph, vector& result, int i_source, int i_sink) { assert(i_source != i_sink); result.resize(graph.n_); vector dist(graph.n_); queue q; vector flag(graph.n_); static function _dfs = [&](int u, int i_sink, DGraphF::cap_t mini) { // DAG // TODO: 経路再利用 if (i_sink == u) return mini; if (flag[u]) return (DGraphF::cap_t) - 1; flag[u] = true; DGraphF::cap_t sumw = 0; bool term = true; for (int e : graph.vertex_to[u]) { auto& edge = graph.edges[e]; if (edge.left > 0 && dist[u]>dist[edge.to]) { DGraphF::cap_t w = (mini < 0) ? edge.left : min(edge.left, mini); w = _dfs(edge.to, i_sink, w); if (w == -1) continue; edge.left -= w; result[edge.to] += w; sumw += w; mini -= w; term = false; flag[u] = false; // TODO: 末尾では? if (mini == 0) return sumw; } } for (int e : graph.vertex_from[u]) { auto& edge = graph.edges[e]; if (edge.cap>edge.left && dist[u]>dist[edge.from]) { DGraphF::cap_t w = (mini < 0) ? (edge.cap - edge.left) : min(edge.cap - edge.left, mini); w = _dfs(edge.from, i_sink, w); if (w == -1) continue; edge.left += w; result[edge.to] -= w; sumw += w; mini -= w; term = false; flag[u] = false; if (mini == 0) return sumw; } } return term ? (DGraphF::cap_t)(-1) : sumw; }; for (int distbegin = 0; ; distbegin += (int)graph.n_) { q.emplace(i_sink); // bfsはsinkからsourceへの距離を計算. dist[i_sink] = distbegin + 1; while (!q.empty()) { int v = q.front(); q.pop(); for (int ie : graph.vertex_from[v]) { const auto edge = graph.edges[ie]; if (0 < edge.left && dist[edge.from] <= distbegin) { dist[edge.from] = dist[v] + 1; q.emplace(edge.from); } } for (int ie : graph.vertex_to[v]) { const auto edge = graph.edges[ie]; if (edge.left < edge.cap && dist[edge.to] <= distbegin) { dist[edge.to] = dist[v] + 1; q.emplace(edge.to); } } } fill(flag.begin(), flag.end(), false); if (dist[i_source] <= distbegin) break; else result[i_source] += _dfs(i_source, i_sink, -1); } } // Rectangle struct Rect { int top, left, bottom, right; Rect(int t = 0, int l = 0, int b = 0, int r = 0) :top(t), left(l), bottom(b), right(r) { } inline int area() { return (right - left + 1)*(bottom - top + 1); } inline bool operator==(Rect r) const { return top == r.top&&left == r.left&&bottom == r.bottom&&right == r.right; } inline bool operator<(Rect r) const { return make_tuple(top, left, bottom, right) < make_tuple(r.top, r.left, r.bottom, r.right); } }; auto beginTime = TIME; // 問題文と入力 const int N = 60, K = 500; int L[K], A[N][N]; const int Lmax = 25; // 長さiの長方形のインデックス // L[j]=iであるようなjの集合が格納される. vector idxsL[Lmax + 1]; // vector result[Lmax + 1]; // workspace int my_A[N][N]; inline void apply(int f[N][N], Rect r) { iterate(y, r.top, r.bottom + 1) iterate(x, r.left, r.right + 1) f[y][x] ^= 1; } // void input() { int n, k; scanner >> n >> k; assert(n == N && k == K); scanner.in(L, L + K); repeat(i, N) { string str; scanner >> str; repeat(j, N) A[i][j] = str[j] == '0'; // << ============== スコア最小を目指す } // - - - - - repeat(i, K) idxsL[L[i]].push_back(i); } // void solve() { repeat(y, N) repeat(x, N) my_A[y][x] = A[y][x];// <<<突然のRE復活>>> copy(A[0], A[N], my_A[N]); int sum[N][N + 1]; // l in 3..Lmax diterate(l, Lmax, 2) { repeat(_, idxsL[l].size()) { int best_score = -1; Rect best_rect; decltype(randdev()) best_seed; // 水平方向に置く場合を全探索 // 累積和 repeat(y, N) { sum[y][0] = 0; repeat(x, N) sum[y][x + 1] = sum[y][x] + my_A[y][x]; } // 探索 repeat(y, N) repeat(x, N + 1 - l) { int score = sum[y][x + l] - sum[y][x] + (my_A[y][x] * my_A[y][x + l - 1]) * 5; if (best_score < score || (best_score == score && randdev() & 1)) best_score = score, best_rect = Rect(y, x, y, x + l - 1); } // 垂直方向に置く場合を全探索 // 累積和 repeat(x, N) { sum[x][0] = 0; repeat(y, N) sum[x][y + 1] = sum[x][y] + my_A[y][x]; } // 探索 repeat(x, N) repeat(y, N + 1 - l) { int score = sum[x][y + l] - sum[x][y] + (my_A[y][x] * my_A[y + l - 1][x]) * 5; if (best_score < score || (best_score == score && best_seed < randdev())) best_score = score, best_rect = Rect(y, x, y + l - 1, x), best_seed = randdev(); } result[l].push_back(best_rect); apply(my_A, best_rect); } } // l in 2 { const int l = 2; repeat(_, idxsL[l].size()) { int best_score = -1; Rect best_rect; // 水平方向に置く場合を全探索 // 探索 repeat(y, N) repeat(x, N + 1 - l) { int score = 0; repeat(i, l) score += my_A[y][x + i]; if (best_score < score || (best_score == score && randdev() & 1)) best_score = score, best_rect = Rect(y, x, y, x + l - 1); } // 垂直方向に置く場合を全探索 // 探索 repeat(x, N) repeat(y, N + 1 - l) { int score = 0; repeat(i, l) score += my_A[y + i][x]; if (best_score < score || (best_score == score && randdev() & 1)) best_score = score, best_rect = Rect(y, x, y + l - 1, x); } result[l].push_back(best_rect); apply(my_A, best_rect); } } // 調整 diterate(l, Lmax, 1) { for (Rect& rect : result[l]) { if (rect.left == rect.right) { int y = rect.top; if (0 < rect.left && my_A[y][rect.left - 1] == 1 && my_A[y][rect.right] == 1) --rect.left, --rect.right; else if (rect.right < N - 1 && my_A[y][rect.left] == 1 && my_A[y][rect.right + 1] == 1) ++rect.left, ++rect.right; }else if (rect.top == rect.bottom) { int x = rect.left; if (0 < rect.top && my_A[rect.top - 1][x] == 1 && my_A[rect.bottom][x] == 1) --rect.top, --rect.bottom; else if (rect.bottom < N - 1 && my_A[rect.top][x] == 1 && my_A[rect.bottom + 1][x] == 1) ++rect.top, ++rect.bottom; } } } } // void burning_stage() { return; // //while (MILLISEC(TIME - beginTime) < 960) { vector> alist; // repeat(y, N) { repeat(x, N) { if (my_A[y][x]) alist.emplace_back(y, x); } } if (alist.size() <= 4) return; // nice!!! vector> shorter, longer; // answer(K); iterate(l, 1, Lmax + 1) repeat(i, idxsL[l].size()) { answer[idxsL[l][i]] = result[l][i]; } for (Rect r : answer) printf("%d %d %d %d\n", r.top + 1, r.left + 1, r.bottom + 1, r.right + 1); } int main() { input(); solve(); burning_stage(); solve_one(); output(); return 0; }