#include #include using namespace std; using ll = long long int; using u64 = unsigned long long; using pll = pair; // #include // using namespace atcoder; #define REP(i, a, b) for (ll i = (a); i < (b); i++) #define REPrev(i, a, b) for (ll i = (a); i >= (b); i--) #define ALL(coll) (coll).begin(), (coll).end() #define SIZE(v) ((ll)((v).size())) #define REPOUT(i, a, b, exp, sep) REP(i, (a), (b)) cout << (exp) << (i + 1 == (b) ? "" : (sep)); cout << "\n" // @@ !! LIM(board UnionFind cmpNaive forall) // ---- inserted library file board.cc struct BrdIdx { int r; int c; BrdIdx(int r_, int c_) : r(r_), c(c_) {} BrdIdx() : r(0), c(0) {} BrdIdx& operator +=(const BrdIdx& o) { r += o.r; c += o.c; return *this; } BrdIdx& operator -=(const BrdIdx& o) { r -= o.r; c -= o.c; return *this; } BrdIdx& operator *=(int k) { r *= k; c *= k; return *this; } BrdIdx operator +(const BrdIdx& o) const { return BrdIdx(*this) += o; } BrdIdx operator -(const BrdIdx& o) const { return BrdIdx(*this) -= o; } BrdIdx operator *(int k) const { return BrdIdx(*this) *= k; } BrdIdx operator -() const { return (*this) * (-1); } bool operator ==(const BrdIdx& o) const { return r == o.r && c == o.c; } bool operator !=(const BrdIdx& o) const { return !((*this) == o); } bool operator <(const BrdIdx& o) const { return r < o.r || (r == o.r && c < o.c); } bool operator <=(const BrdIdx& o) const { return r < o.r || (r == o.r && c <= o.c); } bool operator >(const BrdIdx& o) const { return o < *this; } bool operator >=(const BrdIdx& o) const { return o <= *this; } BrdIdx rotateQ() { return BrdIdx(-c, r); } // counter-clockwise static vector nbr4, nbr4D, nbr5, nbr8, nbr9; }; vector BrdIdx::nbr4 ({ {1,0}, {0,1}, {-1,0}, {0,-1} }), BrdIdx::nbr4D({ {1,1}, {-1,1}, {-1,-1}, {1,-1}}), BrdIdx::nbr5 ({{0,0},{1,0}, {0,1}, {-1,0}, {0,-1} }), BrdIdx::nbr8 ({ {1,0},{1,1},{0,1},{-1,1},{-1,0},{-1,-1},{0,-1},{1,-1}}), BrdIdx::nbr9 ({{0,0},{1,0},{1,1},{0,1},{-1,1},{-1,0},{-1,-1},{0,-1},{1,-1}}); BrdIdx operator *(int k, const BrdIdx& o) { return o * k; } ostream& operator <<(ostream& os, const BrdIdx& i) { os << "(" << i.r << "," << i.c << ")"; return os; } template class Board { bool tr_rc; bool tr_row; bool tr_col; const int nR; const int nC; const T def; vector data; int dispWidth; int enc(int r, int c) const { if (tr_rc) swap(r, c); if (tr_row) r = nR - 1 - r; if (tr_col) c = nC - 1 - c; if (r < 0 || nR <= r || c < 0 || nC <= c) return nC * nR; return nC * r + c; } int enc(const BrdIdx& bi) const { return enc(bi.r, bi.c); } static const vector rotate_tbl; void set_for_rotate() { int x = (tr_rc << 2) | (tr_row << 1) | tr_col; int y = rotate_tbl[x]; tr_rc = (y >> 2) & 1; tr_row = (y >> 1) & 1; tr_col = (y >> 0) & 1; } public: Board(int nR_, int nC_, T def_) : tr_rc(false), tr_row(false), tr_col(false), nR(nR_), nC(nC_), def(def_), data(nR*nC + 1, def), dispWidth(0) {} int numRows() const { return tr_rc ? nC : nR; } int numCols() const { return tr_rc ? nR : nC; } bool in(int r, int c) const { if (tr_rc) return 0 <= r && r < nC && 0 <= c && c < nR; else return 0 <= r && r < nR && 0 <= c && c < nC; } // Note: We cannot implemen T& at(r, c) in a perfect way. // When (r,c) is out of bounds, brd.at(r,c) returns brd.data[nR*nC] // and its value should equal to that of brd.def. But once // "brd.at(r,c) = val;" (with (r,c) out of bounds) is executed, // this no longer holds. // If you need this sequence, you must use "brd.set(r,c,val);". typename vector::reference at(int r, int c) { if (in(r, c)) return data[enc(r, c)]; if (data[nR*nC] == def) return data[nR*nC]; string msg = "Error: boards' __dummy holds an incorrect value. Perhaps you should use get/set instead of at."; throw runtime_error(msg); } typename vector::const_reference at(int r, int c) const { return in(r,c) ? data[enc(r, c)] : def; } void set(int r, int c, T t) { if (in(r, c)) data[enc(r, c)] = t; } const T get(int r, int c) const { return in(r,c) ? data[enc(r, c)] : def; } bool in(const BrdIdx& bi) const { return in(bi.r, bi.c); } typename vector::reference at(const BrdIdx& bi) { return at(bi.r, bi.c); } typename vector::const_reference at(const BrdIdx& bi) const { return at(bi.r, bi.c); } const T get(const BrdIdx& bi) const { return get(bi.r, bi.c); } void set(const BrdIdx& bi, T t) { set(bi.r, bi.c, t); } void transpose_inp() { tr_rc = !tr_rc; } void reverse_row_inp() { tr_row = !tr_row; } void reverse_col_inp() { tr_col = !tr_col; } void rotate_inp(int r) { r = r % 4; if (r < 0) r += 4; for (; r > 0; r--) set_for_rotate(); } Board transpose() const { Board ret(*this); ret.transpose_inp(); return ret; } Board reverse_row() const { Board ret(*this); ret.reverse_row_inp(); return ret; } Board reverse_col() const { Board ret(*this); ret.reverse_col_inp(); return ret; } Board rotate(int r) const { Board ret(*this); ret.rotate_inp(r); return ret; } void setDispWidth(int w) { dispWidth = w; } void readData(istream& is) { for (int i = 0; i < numRows(); i++) { for (int j = 0; j < numCols(); j++) { T t; is >> t; set(i, j, t); } } } friend istream& operator >>(istream& is, Board& brd) { brd.readData(is); return is; } friend ostream& operator <<(ostream& os, const Board& brd) { for (int r = 0; r < brd.numRows(); r++) { for (int c = 0; c < brd.numCols(); c++) { os << setw(brd.dispWidth) << brd.get(r, c); } if (r < brd.numRows() - 1) os << "\n"; } return os; } }; template const vector Board::rotate_tbl({5,4,7,6,2,3,0,1}); template struct BoardRange { const Board& board; struct Itr { using iterator_category = input_iterator_tag; using value_type = BrdIdx; using difference_type = ptrdiff_t; using reference = value_type&; using pointer = value_type*; int nC; BrdIdx bi; Itr(int nC_, int r = 0, int c = 0) : nC(nC_), bi(r, c) {} bool operator ==(const Itr& o) const { return bi == o.bi; } bool operator !=(const Itr& o) const { return bi != o.bi; } reference operator *() { return bi; } pointer operator ->() { return &bi; } Itr& operator ++() { if (++bi.c == nC) { bi.c = 0; ++bi.r; } return *this; } Itr operator ++(int) { Itr const tmp(*this); ++*this; return tmp; } }; BoardRange(const Board& board_) : board(board_) {} Itr begin() { return Itr(board.numCols(), 0, 0); } Itr end() { return Itr(board.numCols(), board.numRows(), 0); } }; // ---- end board.cc // ---- inserted library file UnionFind.cc template()), typename onegate_t = decltype(negate())> struct UnionFind { int size; T zero; oplus_t oplus; onegate_t onegate; vector>> _leader; vector _gsize; bool built_groups; int _num_groups; vector> _groups; UnionFind(int size_, T zero_ = (T)0, oplus_t oplus_ = plus(), onegate_t onegate_ = negate()) : size(size_), zero(zero_), oplus(oplus_), onegate(onegate_), _gsize(size, 1), built_groups(false) { for (int i = 0; i < size; i++) _leader.emplace_back(i, zero); } int merge(int i, int j, optional p = nullopt) { built_groups = false; auto [li, pi] = leaderpot(i); auto [lj, pj] = leaderpot(j); if (li == lj) { if (not p.has_value()) _leader[li].second = nullopt; else if (pi.has_value() and oplus(*p, *pj) != *pi) _leader[li].second = nullopt; return li; } int new_leader, obs_leader; bool chg_sign; if (_gsize[li] < _gsize[lj]) { new_leader = lj; obs_leader = li; chg_sign = false; }else { new_leader = li; obs_leader = lj; chg_sign = true; } _gsize[new_leader] += _gsize[obs_leader]; _leader[obs_leader].first = new_leader; if (p.has_value() and pi.has_value() and pj.has_value()) { T new_pot = oplus(*p, oplus(*pj, onegate(*pi))); if (chg_sign) new_pot = onegate(new_pot); _leader[obs_leader].second = new_pot; }else { _leader[new_leader].second = nullopt; // Note this is for new_leader } return new_leader; } pair> leaderpot(int i) { int cur = i; vector>> seen; optional pp; { auto [nxt, p] = _leader[cur]; while (cur != nxt) { seen.emplace_back(cur, p); cur = nxt; tie(nxt, p) = _leader[cur]; } pp = p; } while (not seen.empty()) { auto [j, p] = seen.back(); seen.pop_back(); if (pp.has_value()) pp = oplus(pp.value(), p.value()); _leader[j] = {cur, pp}; } return {cur, pp}; } int leader(int i) { return leaderpot(i).first; } optional pot(int i) { return leaderpot(i).second; } int groupSize(int i) { return _gsize[leader(i)]; } void build_groups() { if (not built_groups) { _num_groups = 0; for (int j = 0; j < size; j++) if (leader(j) == j) _num_groups++; _groups.resize(size); for (int j = 0; j < size; j++) _groups[j].resize(0); for (int j = 0; j < size; j++) _groups[leader(j)].push_back(j); built_groups = true; } } int numGroups() { build_groups(); return _num_groups; } const vector& group(int i) { build_groups(); return _groups[leader(i)]; } }; template auto makeUnionFind(int size, T zero, auto oplus, auto onegate) { return UnionFind(size, zero, oplus, onegate); } // ---- end UnionFind.cc // ---- inserted library file cmpNaive.cc const string end_mark("^__=end=__^"); int naive(istream& cin, ostream& cout); int body(istream& cin, ostream& cout); void cmpNaive() { while (true) { string s; getline(cin, s); bool run_body; if (s.at(0) == 'Q') { return; }else if (s.at(0) == 'B') { run_body = true; }else if (s.at(0) == 'N') { run_body = false; }else { cerr << "Unknown body/naive specifier.\n"; exit(1); } string input_s; while (true) { getline(cin, s); if (s == end_mark) break; input_s += s; input_s += "\n"; } stringstream ss_in(move(input_s)); stringstream ss_out; ss_out << setprecision(20); if (run_body) { body(ss_in, ss_out); }else { naive(ss_in, ss_out); } cout << ss_out.str() << end_mark << endl; } } int main(int argc, char *argv[]) { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout << setprecision(20); #if CMPNAIVE if (argc == 2) { if (strcmp(argv[1], "cmpNaive") == 0) { cmpNaive(); }else if (strcmp(argv[1], "naive") == 0) { naive(cin, cout); }else if (strcmp(argv[1], "skip") == 0) { exit(0); }else { cerr << "Unknown argument.\n"; exit(1); } }else { #endif body(cin, cout); #if CMPNAIVE } #endif return 0; } /* int naive(istream& cin, ostream& cout) { return 0; } int body(istream& cin, ostream& cout) { return 0; } */ // ---- end cmpNaive.cc // ---- inserted library file forall.cc #define EX_REP_LL(i, from, to) for (ll i = (from); i < (to); i++) #define EX_REP_RB(x, coll) for (auto x : coll) #define EXGEN(rep_part, cond, yes, no_behaviour) ([&]() { rep_part if (cond) return (yes); no_behaviour; }()) #define EXISTS_BASE(rep_part, cond) EXGEN(rep_part, cond, true, return false) #define EXFIND_BASE(rep_part, cond, t) EXGEN(rep_part, cond, t, assert(0)) #define EXFIND_D_BASE(rep_part, cond, t, def) EXGEN(rep_part, cond, t, return def) #define EXISTS(i, from, to, cond) EXISTS_BASE(EX_REP_LL(i, from, to), cond) #define FORALL(i, from, to, cond) (not EXISTS(i, from, to, not (cond))) #define EXFIND(i, from, to, cond) EXFIND_BASE(EX_REP_LL(i, from, to), cond, i) #define EXFIND_D(i, from, to, cond, def) EXFIND_D_BASE(EX_REP_LL(i, from, to), cond, i, def) #define EXISTS_C(x, coll, cond) EXISTS_BASE(EX_REP_RB(x, coll), cond) #define FORALL_C(x, coll, cond) (not EXISTS_C(x, coll, not (cond))) #define EXFIND_C(x, coll, cond) EXFIND_BASE(EX_REP_RB(x, coll), cond, x) #define EXFIND_D_C(x, coll, cond, def) EXFIND_D_BASE(EX_REP_RB(x, coll), cond, x, def) #define COUNT_BASE(rep_part, cond) ([&](){ ll ret = 0; rep_part if (cond) ret++; return ret; }()) #define COUNT(i, from, to, cond) COUNT_BASE(EX_REP_LL(i, from, to), cond) #define COUNT_C(x, coll, cond) COUNT_BASE(EX_REP_RB(x, coll), cond) #define IMPLIES(a, b) (not (a) or (b)) // ---- end forall.cc // @@ !! LIM -- end mark -- int naive(istream& cin, ostream& cout) { ll H, W, N, D; cin >> H >> W >> N >> D; // @InpMVec(N, (X, Y)) [rAE6TPNV] auto X = vector(N, ll()); auto Y = vector(N, ll()); for (int i = 0; i < N; i++) { ll v1; cin >> v1; X[i] = v1; ll v2; cin >> v2; Y[i] = v2; } // @End [rAE6TPNV] X.push_back(-1); Y.push_back(-1); ll vmax = -1; ll vmin = 1e18; REP(x, 1, H + 1) REP(y, 1, W + 1) { if (FORALL(i, 0, N, X[i] != x or Y[i] != y)) { X[N] = x; Y[N] = y; UnionFind uf(N + 1); REP(i, 0, N + 1) REP(j, i + 1, N + 1) { if (abs(X[i] - X[j]) + abs(Y[i] - Y[j]) <= D) uf.merge(i, j); } ll num = 0; REP(i, 0, N + 1) if (uf.leader(i) == i and uf.groupSize(i) >= 2) num++; vmax = max(num, vmax); vmin = min(num, vmin); } } cout << vmin << " " << vmax << endl; return 0; } int body(istream& cin, ostream& cout) { ll H, W, N, D; cin >> H >> W >> N >> D; vector X(N, 0LL); vector Y(N, 0LL); // Board brd(H, W, false); Board idx(H, W, -1); REP(i, 0, N) { ll x, y; cin >> x >> y; x--; y--; // brd.at(x, y) = true; idx.at(x, y) = i; X[i] = x; Y[i] = y; } UnionFind uf(N); REP(i, 0, N) { REP(x, -D, D + 1) REP(y, -(D - abs(x)), D - abs(x) + 1) { if (x == 0 and y == 0) continue; ll j = idx.at(X[i] + x, Y[i] + y); if (j >= 0) uf.merge(i, j); } } ll ng = 0; REP(i, 0, N) if (uf.leader(i) == i and ssize(uf.group(i)) >= 2) ng++; ll vmax = -1; ll vmin = 1e18; vector color(N); REP(x0, 0, H) REP(y0, 0, W) { vector this_color; bool single_conn = false; if (idx.at(x0, y0) == -1) { // ll cnt = 0; REP(x, -D, D + 1) REP(y, -(D - abs(x)), D - abs(x) + 1) { ll j = idx.at(x0 + x, y0 + y); if (j >= 0) { ll ld = uf.leader(j); if (ssize(uf.group(ld)) == 1) single_conn = true; else { if (not color[ld]) { color[ld] = true; this_color.push_back(ld); } } } } ll sz = ssize(this_color); ll num; if (sz >= 1) num = ng - (sz - 1); else if (single_conn) num = ng + 1; else num = ng; vmax = max(vmax, num); vmin = min(vmin, num); for (ll c : this_color) color[c] = false; } } cout << vmin << " " << vmax << endl; return 0; }