#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()) // Edge構造体を定義する無向グラフ class GraphE { public: typedef int W_T; struct Edge { int u, v; W_T value; Edge(int from = 0, int to = 0, W_T value = 0) :u(from), v(to), value(value) {} inline int to(int _v) const { return _v == v ? u : v; } }; size_t n; vector> vertex_to; vector edges; GraphE(int n = 1) :n(n), vertex_to(n) { } void resize(size_t _n) { n = _n; vertex_to.resize(_n); } void connect(int from, int to, W_T val = 0) { vertex_to[(size_t)from].push_back((int)edges.size()); vertex_to[(size_t)to].push_back((int)edges.size()); edges.emplace_back(from, to, val); } }; // 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); } }; using u64 = uint64_t; #if defined(__GNUC__) inline long long popcountll(long long z) { return __builtin_popcountll(z); } #else inline long long popcountll(long long z) { return bitset<64>(z).count(); } #endif auto beginTime = TIME; // 問題文と入力 const int N = 60, K = 500; int L[K]; u64 A[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 u64 my_A[N], my_Atr[N]; inline void apply(u64 f[N], u64 ftr[N], Rect r) { u64 mask; mask = (((1ull << (r.right +1)) - 1) ^ ((1ull << r.left) - 1)); iterate(y, r.top, r.bottom + 1) { f[y] ^= mask; } mask = (((1ull << (r.bottom + 1)) - 1) ^ ((1ull << r.top) - 1)); iterate(x, r.left, r.right + 1) { ftr[x] ^= mask; } } inline void apply(u64 f[N], Rect r) { u64 mask = (((1ull << (r.right + 1)) - 1) ^ ((1ull << r.left) - 1)); iterate(y, r.top, r.bottom + 1) { f[y] ^= mask; } } // 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; u64 u; repeat(j, N) A[i] |= u64(str[j] == '0')<> j) << i; diterate(l, Lmax, 1) { 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 // 探索 repeat(y, N) { u64 mask = (1ull << l) - 1; repeat(x, N + 1 - l) { int score = popcountll(my_A[y] & mask); score += (!!(my_A[y] & (1ull << x)) * !!(my_A[y] & (1ull << (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); mask <<= 1; } } // 垂直方向に置く場合を全探索 // 探索 repeat(x, N) { u64 mask = (1ull << l) - 1; repeat(y, N + 1 - l) { int score = popcountll(my_Atr[x] & mask); score += (!!(my_Atr[x] & (1ull << y)) * !!(my_Atr[x] & (1ull << (y + l - 1)))) * 5; if (best_score < score || (best_score == score && randdev() & 1)) best_score = score, best_rect = Rect(y, x, y + l - 1, x); mask <<= 1; } } result[l].push_back(best_rect); apply(my_A, my_Atr, best_rect); } } } // void solve2() { // 調整 diterate(l, Lmax, 1) { for (Rect& rect : result[l]) { bool changed = false; Rect rect_old = rect; if (rect.left == rect.right) { int x = rect.left; if (0 < rect.top && (my_A[rect.top - 1] & (1ull << x)) && (my_A[rect.bottom] & (1ull << x))) --rect.top, --rect.bottom, changed = true; else if (rect.bottom < N - 1 && (my_A[rect.top] & (1ull << x)) && (my_A[rect.bottom + 1] & (1ull << x))) ++rect.top, ++rect.bottom, changed = true; } else if (rect.top == rect.bottom) { int y = rect.top; if (0 < rect.left && (my_A[y] & (1ull << (rect.left - 1))) && (my_A[y] & (1ull << (rect.right)))) --rect.left, --rect.right, changed = true; else if (rect.right < N - 1 && (my_A[y] & (1ull << (rect.left))) && (my_A[y] & (1ull << (rect.right + 1)))) ++rect.left, ++rect.right, changed = true; } // todo:sppedup if (changed) { apply(my_A, my_Atr, rect_old); apply(my_A, my_Atr, rect); } } } } // void solve3() { } // void burning_stage() { return; //while (MILLISEC(TIME - beginTime) < 960) { } } // void solve_final() { // l in 1 { const int l = 1; { int cnt = idxsL[1].size(); Rect best_rect; // 探索 repeat(y, N) repeat(x, N) { int score = 0; if (my_A[y]&(1ull< 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(); solve1(); solve2(); burning_stage(); solve_final(); output(); return 0; }