// Author: Olaf Surgut (surgutti)
// Created on 13-03-2025 19:15:35
#include "bits/stdc++.h"
using namespace std;
// #define int long long
#define ll long long
#define ld long double
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define eb emplace_back
#define sz(x) (int)(x).size()
#define all(x) begin(x),end(x)
#define FOR(i,l,r) for(int i=(l);i<=(r);i++)
#define ROF(i,r,l) for(int i=(r);i>=(l);i--)
auto& operator<<(auto &o, pair<auto, auto> p) {
return o << "(" << p.st << ", " << p.nd << ")";}
auto operator<<(auto &o, auto x)->decltype(end(x), o) {
o << "{"; int i=0; for (auto e : x) o << ","+!i++ << e;
return o << "}";}
#ifdef LOCAL
#define debug(x...) cerr << "[" #x "]: ", [](auto...$) { \
((cerr << $ << "; "),...) << endl; }(x)
#else
#define debug(...)
#endif
#define rep(i,a,b) for(int i = a; i < (b); i++)
using pii = pair<int, int>;
using vi = vector<int>;
const int N = 2 * 75000 + 7;
const int T = 1 << 18;
vector<pii> tree[T << 1];
void add(int l, int r, pii const& val) {
for (l += T, r += T + 1; l < r; l >>= 1, r >>= 1) {
if (l & 1)
tree[l++].pb(val);
if (r & 1)
tree[--r].pb(val);
}
}
vector<pair<int*, int>> hist;
void update(int* a, int b) {
hist.eb(a, *a);
*a = b;
}
int n, m, k, qq;
int uf[N], sz[N], sum[N];
int ans;
int get(int u) {
return u == uf[u] ? u : get(uf[u]);
}
void dfs(int uu) {
int old = ans;
int czas = sz(hist);
for (auto [u, v] : tree[uu]) {
if (u >= 0 && v >= 0) {
u = get(u), v = get(v);
if (u != v) {
if (sz[u] < sz[v])
swap(u, v);
if (sum[u] >= N)
ans -= (sum[u] % N) + (sum[u] / N);
if (sum[v] >= N)
ans -= (sum[v] % N) + (sum[v] / N);
update(&uf[v], u);
update(&sz[u], sz[u] + sz[v]);
update(&sum[u], sum[u] + sum[v]);
if (sum[u] >= N)
ans += (sum[u] % N) + (sum[u] / N);
}
}
else {
u = get(-u - 1);
if (sum[u] >= N)
ans -= (sum[u] % N) + (sum[u] / N);
update(&sum[u], sum[u] + v);
if (sum[u] >= N)
ans += (sum[u] % N) + (sum[u] / N);
}
}
if (uu < T) {
dfs(uu << 1 | 0);
dfs(uu << 1 | 1);
}
else {
if (k - 1 <= uu - T && uu - T < k + qq) {
cout << ans << '\n';
}
}
while (sz(hist) > czas) {
*hist.back().st = hist.back().nd;
hist.pop_back();
}
ans = old;
}
map<pii, int> IDX, idx;
map<int, int> typ;
// 0 -> dead
// -1 -> solid
// N -> to take
// 1 -> to ignite
map<pii, int> cache;
bool test(pii p) {
return cache.count(p) && cache[p] != 0;
}
bool is_take(pii p) {
return (!test({p.st - 1, p.nd}) && !test({p.st + 1, p.nd})) ||
(!test({p.st, p.nd - 1}) && !test({p.st, p.nd + 1}));
}
bool is_square(pii p) {
FOR(dx, -1, 0) FOR(dy, -1, 0) {
int cnt = 0;
FOR(a, 0, 1) FOR(b, 0, 1) {
cnt += test({p.st + dx + a, p.nd + dy + b});
}
if (cnt == 4)
return true;
}
return false;
}
int dist(pii a, pii b) {
return abs(a.st - b.st) + abs(a.nd - b.nd);
}
void solve() {
cin >> n >> m >> k >> qq;
iota(uf, uf + k + qq, 0);
fill(sz, sz + k + qq, 1);
map<pii, int> edges;
rep(i, 0, k + qq) {
pii p;
cin >> p.st >> p.nd;
if (IDX.count(p) == 0) {
IDX[p] = sz(IDX);
typ[IDX[p]] = 0;
}
idx.clear();
FOR(dx, -2, +2) FOR(dy, -2, +2) {
pii q{p.st + dx, p.nd + dy};
if (IDX.count(q))
idx[q] = IDX[q];
}
// 3x3 cube
vector<pii> neigh;
FOR(dx, -1, +1) FOR(dy, -1, +1) {
pii q{p.st + dx, p.nd + dy};
if (idx.count(q)) {
neigh.pb(q);
}
}
cache.clear();
FOR(dx, -2, +2) FOR(dy, -2, +2) {
pii q{p.st + dx, p.nd + dy};
if (idx.count(q))
cache[q] = typ[idx[q]];
else
cache[q] = 0;
}
map<pii, int> old_cache = cache;
if (cache[p] == 0)
cache[p] = 1;
else
cache[p] = 0;
for (pii q : neigh) {
if (cache[q] == 0)
typ[idx[q]] = 0;
else
if (is_take(q))
typ[idx[q]] = N;
else
if (is_square(q))
typ[idx[q]] = -1;
else
typ[idx[q]] = 1;
}
for (pii q : neigh) {
int v = idx[q];
if (old_cache[q] != typ[v]) {
add(i, k + qq - 1, {-(v + 1), typ[v] - old_cache[q]});
}
}
for (auto& [a, A] : cache)
if (idx.count(a))
A = typ[idx[a]];
// add edges in 3x3
for (auto [a, A] : cache) for (pii dd : vector<pii>{{0, +1}, {0, -1}, {+1, 0}, {-1, 0}}) {
pii b{a.st + dd.st, a.nd + dd.nd};
if (cache.count(b)) {
int B = cache[b];
if (idx.count(a) && idx.count(b)) {
int u = idx[a];
int v = idx[b];
if (u >= v)
continue;
bool prv = (old_cache[a] > 0 && old_cache[b] > 0);
bool nxt = (A > 0 && B > 0);
if (prv && !nxt) {
add(edges[{u, v}], i - 1, {u, v});
edges.erase({u, v});
}
else
if (!prv && nxt) {
edges[{u, v}] = i;
}
}
}
}
}
cerr << "here\n";
for (auto [p, i] : edges)
add(i, k + qq - 1, p);
cerr << "dfs\n";
dfs(1);
}
signed main() {
cin.tie(0)->sync_with_stdio(0);
int tt = 1;
// cin >> tt;
while (tt--)
solve();
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 | // Author: Olaf Surgut (surgutti) // Created on 13-03-2025 19:15:35 #include "bits/stdc++.h" using namespace std; // #define int long long #define ll long long #define ld long double #define endl '\n' #define st first #define nd second #define pb push_back #define eb emplace_back #define sz(x) (int)(x).size() #define all(x) begin(x),end(x) #define FOR(i,l,r) for(int i=(l);i<=(r);i++) #define ROF(i,r,l) for(int i=(r);i>=(l);i--) auto& operator<<(auto &o, pair<auto, auto> p) { return o << "(" << p.st << ", " << p.nd << ")";} auto operator<<(auto &o, auto x)->decltype(end(x), o) { o << "{"; int i=0; for (auto e : x) o << ","+!i++ << e; return o << "}";} #ifdef LOCAL #define debug(x...) cerr << "[" #x "]: ", [](auto...$) { \ ((cerr << $ << "; "),...) << endl; }(x) #else #define debug(...) #endif #define rep(i,a,b) for(int i = a; i < (b); i++) using pii = pair<int, int>; using vi = vector<int>; const int N = 2 * 75000 + 7; const int T = 1 << 18; vector<pii> tree[T << 1]; void add(int l, int r, pii const& val) { for (l += T, r += T + 1; l < r; l >>= 1, r >>= 1) { if (l & 1) tree[l++].pb(val); if (r & 1) tree[--r].pb(val); } } vector<pair<int*, int>> hist; void update(int* a, int b) { hist.eb(a, *a); *a = b; } int n, m, k, qq; int uf[N], sz[N], sum[N]; int ans; int get(int u) { return u == uf[u] ? u : get(uf[u]); } void dfs(int uu) { int old = ans; int czas = sz(hist); for (auto [u, v] : tree[uu]) { if (u >= 0 && v >= 0) { u = get(u), v = get(v); if (u != v) { if (sz[u] < sz[v]) swap(u, v); if (sum[u] >= N) ans -= (sum[u] % N) + (sum[u] / N); if (sum[v] >= N) ans -= (sum[v] % N) + (sum[v] / N); update(&uf[v], u); update(&sz[u], sz[u] + sz[v]); update(&sum[u], sum[u] + sum[v]); if (sum[u] >= N) ans += (sum[u] % N) + (sum[u] / N); } } else { u = get(-u - 1); if (sum[u] >= N) ans -= (sum[u] % N) + (sum[u] / N); update(&sum[u], sum[u] + v); if (sum[u] >= N) ans += (sum[u] % N) + (sum[u] / N); } } if (uu < T) { dfs(uu << 1 | 0); dfs(uu << 1 | 1); } else { if (k - 1 <= uu - T && uu - T < k + qq) { cout << ans << '\n'; } } while (sz(hist) > czas) { *hist.back().st = hist.back().nd; hist.pop_back(); } ans = old; } map<pii, int> IDX, idx; map<int, int> typ; // 0 -> dead // -1 -> solid // N -> to take // 1 -> to ignite map<pii, int> cache; bool test(pii p) { return cache.count(p) && cache[p] != 0; } bool is_take(pii p) { return (!test({p.st - 1, p.nd}) && !test({p.st + 1, p.nd})) || (!test({p.st, p.nd - 1}) && !test({p.st, p.nd + 1})); } bool is_square(pii p) { FOR(dx, -1, 0) FOR(dy, -1, 0) { int cnt = 0; FOR(a, 0, 1) FOR(b, 0, 1) { cnt += test({p.st + dx + a, p.nd + dy + b}); } if (cnt == 4) return true; } return false; } int dist(pii a, pii b) { return abs(a.st - b.st) + abs(a.nd - b.nd); } void solve() { cin >> n >> m >> k >> qq; iota(uf, uf + k + qq, 0); fill(sz, sz + k + qq, 1); map<pii, int> edges; rep(i, 0, k + qq) { pii p; cin >> p.st >> p.nd; if (IDX.count(p) == 0) { IDX[p] = sz(IDX); typ[IDX[p]] = 0; } idx.clear(); FOR(dx, -2, +2) FOR(dy, -2, +2) { pii q{p.st + dx, p.nd + dy}; if (IDX.count(q)) idx[q] = IDX[q]; } // 3x3 cube vector<pii> neigh; FOR(dx, -1, +1) FOR(dy, -1, +1) { pii q{p.st + dx, p.nd + dy}; if (idx.count(q)) { neigh.pb(q); } } cache.clear(); FOR(dx, -2, +2) FOR(dy, -2, +2) { pii q{p.st + dx, p.nd + dy}; if (idx.count(q)) cache[q] = typ[idx[q]]; else cache[q] = 0; } map<pii, int> old_cache = cache; if (cache[p] == 0) cache[p] = 1; else cache[p] = 0; for (pii q : neigh) { if (cache[q] == 0) typ[idx[q]] = 0; else if (is_take(q)) typ[idx[q]] = N; else if (is_square(q)) typ[idx[q]] = -1; else typ[idx[q]] = 1; } for (pii q : neigh) { int v = idx[q]; if (old_cache[q] != typ[v]) { add(i, k + qq - 1, {-(v + 1), typ[v] - old_cache[q]}); } } for (auto& [a, A] : cache) if (idx.count(a)) A = typ[idx[a]]; // add edges in 3x3 for (auto [a, A] : cache) for (pii dd : vector<pii>{{0, +1}, {0, -1}, {+1, 0}, {-1, 0}}) { pii b{a.st + dd.st, a.nd + dd.nd}; if (cache.count(b)) { int B = cache[b]; if (idx.count(a) && idx.count(b)) { int u = idx[a]; int v = idx[b]; if (u >= v) continue; bool prv = (old_cache[a] > 0 && old_cache[b] > 0); bool nxt = (A > 0 && B > 0); if (prv && !nxt) { add(edges[{u, v}], i - 1, {u, v}); edges.erase({u, v}); } else if (!prv && nxt) { edges[{u, v}] = i; } } } } } cerr << "here\n"; for (auto [p, i] : edges) add(i, k + qq - 1, p); cerr << "dfs\n"; dfs(1); } signed main() { cin.tie(0)->sync_with_stdio(0); int tt = 1; // cin >> tt; while (tt--) solve(); return 0; } |
English