// clang-format off
#include <bits/stdc++.h>
using namespace std;
#define ALL(x) (x).begin(), (x).end()
template<class C> void mini(C &a5, C b5) { a5 = min(a5, b5); }
template<class C> void maxi(C &a5, C b5) { a5 = max(a5, b5); }
#ifdef LOCAL
const bool debug = true;
#else
const bool debug = false;
#define cerr if (true) {} else cout
#endif
// clang-format on
#define int long long
#define double long double
const int INF = 1e18;
const int mod = 1e9 + 7;
const int base = 1 << 19;
struct Node {
Node *left, *right;
int prefix, suffix; // INF -> None
int res;
bool all_connected;
Node()
: left(nullptr), right(nullptr), prefix(INF), suffix(INF), res(0),
all_connected(false) {}
void touch() {
if (left == nullptr) {
left = new Node();
right = new Node();
}
}
void update(int len) {
prefix = left->prefix;
if (left->all_connected)
mini(prefix, len / 2 + right->prefix);
suffix = right->suffix;
if (right->all_connected)
mini(suffix, left->suffix + len / 2);
res = left->res + right->res;
if (left->suffix < INF && right->prefix < INF)
res += left->suffix + right->prefix;
all_connected = left->all_connected && right->all_connected;
}
void set(int pos, bool val, bool from_squeare, int pocz = 0,
int kon = base) {
if (kon - pocz == 1) {
if (val) {
prefix = suffix = (!from_squeare) * INF;
res = from_squeare;
all_connected = true;
} else {
prefix = suffix = INF;
res = 0;
all_connected = false;
}
return;
}
int sr = (pocz + kon) / 2;
touch();
if (pos < sr)
left->set(pos, val, from_squeare, pocz, sr);
else
right->set(pos, val, from_squeare, sr, kon);
update(kon - pocz);
}
void print() {
cout << "res=" << res << " prefix=" << prefix << " suffix=" << suffix
<< " all_connected=" << all_connected << endl;
}
};
Node _diag1[2 * base], _diag2[2 * base];
Node *diag1 = &_diag1[base];
Node *diag2 = &_diag2[0];
map<pair<int, int>, bool> mapa;
set<pair<int, int>> squares;
int result;
void update_square(int x, int y) {
if (!mapa[{x, y}]) {
squares.erase({x, y});
return;
}
bool from_square = false;
for (int dx = -1; dx <= 1; dx += 2) {
for (int dy = -1; dy <= 1; dy += 2) {
int x2 = x + dx, y2 = y + dy;
if (mapa[{x2, y}] & mapa[{x, y2}] & mapa[{x2, y2}])
from_square = true;
}
}
vector<pair<Node *, int>> iter = {{&diag1[x - y], 2 * x},
{&diag1[x - y - 1], 2 * x - 1},
{&diag2[x + y], 2 * x},
{&diag2[x + y + 1], 2 * x + 1}};
for (auto [node, pos] : iter) {
result -= node->res;
node->set(pos, true, from_square);
result += node->res;
}
if (from_square)
squares.insert({x, y});
else
squares.erase({x, y});
}
int update(int x, int y) {
bool new_val = (mapa[{x, y}] ^= 1);
vector<pair<Node *, int>> iter = {{&diag1[x - y], 2 * x},
{&diag1[x - y - 1], 2 * x - 1},
{&diag2[x + y], 2 * x},
{&diag2[x + y + 1], 2 * x + 1}};
for (auto [node, pos] : iter) {
result -= node->res;
node->set(pos, new_val, false);
result += node->res;
}
for (int dx = -1; dx <= 1; dx++)
for (int dy = -1; dy <= 1; dy++)
update_square(x + dx, y + dy);
return 2 * new_val - 1;
}
void print_debug() {
for (int i = -100; i <= 100; i++) {
if (diag1[i].res) {
cout << "diag1[" << i << "]:\t";
diag1[i].print();
}
}
for (int i = 0; i <= 100; i++) {
if (diag2[i].res) {
cout << "diag2[" << i << "]:\t";
diag2[i].print();
}
}
}
void print_mapa(int n, int m) {
char tab[n + 1][m + 1];
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++)
tab[i][j] = '.';
for (auto [pos, val] : mapa)
if (val)
tab[pos.first][pos.second] = 'x';
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++)
cout << tab[i][j];
cout << endl;
}
}
void dummy() {
int k = 2 * 75000;
for (int i = 200000;; i--) {
for (int j = 200000; j > 200000 - 1000; j++) {
update(i, j);
cout << result << "\n";
if (--k == 0)
return;
}
}
}
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int count = 0;
int n, m, k, q;
cin >> n >> m >> k >> q;
if (n == -1) {
dummy();
return 0;
}
for (int i = 0; i < k; i++) {
int x, y;
cin >> x >> y;
count += update(x, y);
}
cout << count - result + 3 * (int)squares.size() << "\n";
while (q--) {
int x, y;
cin >> x >> y;
count += update(x, y);
cout << count - result + 3 * (int)squares.size() << "\n";
}
// cout << result << " " << squares.size() << endl;
// print_mapa(n, m);
// print_debug();
return 0;
} /*
*/
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 | // clang-format off #include <bits/stdc++.h> using namespace std; #define ALL(x) (x).begin(), (x).end() template<class C> void mini(C &a5, C b5) { a5 = min(a5, b5); } template<class C> void maxi(C &a5, C b5) { a5 = max(a5, b5); } #ifdef LOCAL const bool debug = true; #else const bool debug = false; #define cerr if (true) {} else cout #endif // clang-format on #define int long long #define double long double const int INF = 1e18; const int mod = 1e9 + 7; const int base = 1 << 19; struct Node { Node *left, *right; int prefix, suffix; // INF -> None int res; bool all_connected; Node() : left(nullptr), right(nullptr), prefix(INF), suffix(INF), res(0), all_connected(false) {} void touch() { if (left == nullptr) { left = new Node(); right = new Node(); } } void update(int len) { prefix = left->prefix; if (left->all_connected) mini(prefix, len / 2 + right->prefix); suffix = right->suffix; if (right->all_connected) mini(suffix, left->suffix + len / 2); res = left->res + right->res; if (left->suffix < INF && right->prefix < INF) res += left->suffix + right->prefix; all_connected = left->all_connected && right->all_connected; } void set(int pos, bool val, bool from_squeare, int pocz = 0, int kon = base) { if (kon - pocz == 1) { if (val) { prefix = suffix = (!from_squeare) * INF; res = from_squeare; all_connected = true; } else { prefix = suffix = INF; res = 0; all_connected = false; } return; } int sr = (pocz + kon) / 2; touch(); if (pos < sr) left->set(pos, val, from_squeare, pocz, sr); else right->set(pos, val, from_squeare, sr, kon); update(kon - pocz); } void print() { cout << "res=" << res << " prefix=" << prefix << " suffix=" << suffix << " all_connected=" << all_connected << endl; } }; Node _diag1[2 * base], _diag2[2 * base]; Node *diag1 = &_diag1[base]; Node *diag2 = &_diag2[0]; map<pair<int, int>, bool> mapa; set<pair<int, int>> squares; int result; void update_square(int x, int y) { if (!mapa[{x, y}]) { squares.erase({x, y}); return; } bool from_square = false; for (int dx = -1; dx <= 1; dx += 2) { for (int dy = -1; dy <= 1; dy += 2) { int x2 = x + dx, y2 = y + dy; if (mapa[{x2, y}] & mapa[{x, y2}] & mapa[{x2, y2}]) from_square = true; } } vector<pair<Node *, int>> iter = {{&diag1[x - y], 2 * x}, {&diag1[x - y - 1], 2 * x - 1}, {&diag2[x + y], 2 * x}, {&diag2[x + y + 1], 2 * x + 1}}; for (auto [node, pos] : iter) { result -= node->res; node->set(pos, true, from_square); result += node->res; } if (from_square) squares.insert({x, y}); else squares.erase({x, y}); } int update(int x, int y) { bool new_val = (mapa[{x, y}] ^= 1); vector<pair<Node *, int>> iter = {{&diag1[x - y], 2 * x}, {&diag1[x - y - 1], 2 * x - 1}, {&diag2[x + y], 2 * x}, {&diag2[x + y + 1], 2 * x + 1}}; for (auto [node, pos] : iter) { result -= node->res; node->set(pos, new_val, false); result += node->res; } for (int dx = -1; dx <= 1; dx++) for (int dy = -1; dy <= 1; dy++) update_square(x + dx, y + dy); return 2 * new_val - 1; } void print_debug() { for (int i = -100; i <= 100; i++) { if (diag1[i].res) { cout << "diag1[" << i << "]:\t"; diag1[i].print(); } } for (int i = 0; i <= 100; i++) { if (diag2[i].res) { cout << "diag2[" << i << "]:\t"; diag2[i].print(); } } } void print_mapa(int n, int m) { char tab[n + 1][m + 1]; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) tab[i][j] = '.'; for (auto [pos, val] : mapa) if (val) tab[pos.first][pos.second] = 'x'; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) cout << tab[i][j]; cout << endl; } } void dummy() { int k = 2 * 75000; for (int i = 200000;; i--) { for (int j = 200000; j > 200000 - 1000; j++) { update(i, j); cout << result << "\n"; if (--k == 0) return; } } } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); int count = 0; int n, m, k, q; cin >> n >> m >> k >> q; if (n == -1) { dummy(); return 0; } for (int i = 0; i < k; i++) { int x, y; cin >> x >> y; count += update(x, y); } cout << count - result + 3 * (int)squares.size() << "\n"; while (q--) { int x, y; cin >> x >> y; count += update(x, y); cout << count - result + 3 * (int)squares.size() << "\n"; } // cout << result << " " << squares.size() << endl; // print_mapa(n, m); // print_debug(); return 0; } /* */ |
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