// Author: Kamil Nizinski // NOLINT(legal/copyright) #ifdef LOCAL #ifdef COLOR #include "bits/cp_local_color.h" #else #include "bits/cp_local.h" #endif #else #include "bits/stdc++.h" #define debug_arr(arr_name, first, last) #define debug(...) #define cerr if (false) cerr #define speed_of_cin_and_cout ios_base::sync_with_stdio(0), cin.tie(0) #define local if (false) #endif #define ft first #define sd second #define sz(a) (static_cast<int>((a).size())) using namespace std; // NOLINT(build/namespaces) typedef int64_t LL; typedef uint64_t LLU; typedef long double LD; typedef pair<int, int> PII; const int kMaxQ = 100007; struct Node { int number; LL weight; LL max_weight; Node *left; Node *right; bool all_eaten; bool has_changed; Node(int ini_number = 0, LL ini_weight = LL{0}, LL ini_max_weight = LL{-1}, Node *ini_left = nullptr, Node *ini_right = nullptr, bool ini_all_eaten = false, bool ini_has_changed = false) { number = ini_number; weight = ini_weight; max_weight = ini_max_weight; left = ini_left; right = ini_right; all_eaten = ini_all_eaten; has_changed = ini_has_changed; } }; typedef Node* Tree; Tree build_tree(int low, int high, const vector<pair<LL, int>> &sprats) { if (low + 1 == high) { if (sprats[low].sd != -1) { cerr << "Zero\n"; return new Node(); } else { debug(1, sprats[low].ft, sprats[low].ft); return new Node(1, sprats[low].ft, sprats[low].ft); } } int mid = (low + high) >> 1; Tree l = build_tree(low, mid, sprats); Tree r = build_tree(mid, high, sprats); return new Node(l->number + r->number, l->weight + r->weight, max(l->max_weight, r->max_weight), l, r); } void update_values_of_nonleaf(Tree t) { Tree l = t->left; Tree r = t->right; t->number = l->number + r->number; t->weight = l->weight + r->weight; t->max_weight = max(l->max_weight, r->max_weight); } pair<int, LL> eat_at_least_from_right_in(Tree t, int low, int high, LL lower_need, int r) { // lower_need > LL{0} or actually: debug(low, high); debug(lower_need); if (lower_need <= LL{0}) return {0, LL{0}}; if (t->weight == LL{0}) return {0, LL{0}}; if (low >= r) return {0, LL{0}}; if (high <= r) { if (t->weight <= lower_need || (low + 1 == high)) { pair<int, LL> result = {t->number, t->weight}; t->number = 0; t->weight = LL{0}; t->max_weight = LL{-1}; t->has_changed = true; debug(result); return result; } } int mid = (low + high) >> 1; pair<int, LL> result_r = eat_at_least_from_right_in(t->right, mid, high, lower_need, r); lower_need -= result_r.sd; if (result_r.sd > LL{0}) t->has_changed = true; pair<int, LL> result_l = eat_at_least_from_right_in(t->left, low, mid, lower_need, r); if (result_l.sd > LL{0}) t->has_changed = true; update_values_of_nonleaf(t); pair<int, LL> result = {result_l.ft + result_r.ft, result_l.sd + result_r.sd}; debug(result); return result; } void tidy_up(Tree t, int low, int high, const vector<pair<LL, int>> &sprats) { if (t->has_changed) { if (low + 1 == high) { // (*t) = Node(1, sprats[low].ft, sprats[low].ft); t->number = 1; t->weight = sprats[low].ft; t->max_weight = sprats[low].ft; } else { int mid = (low + high) >> 1; tidy_up(t->left, low, mid, sprats); tidy_up(t->right, mid, high, sprats); update_values_of_nonleaf(t); } t->has_changed = false; } } int find_first_with_geq_weight(Tree t, int low, int high, LL weight) { // It exists. if (low + 1 == high) return low; int mid = (low + high) >> 1; if (t->left->max_weight >= weight) return find_first_with_geq_weight(t->left, low, mid, weight); else return find_first_with_geq_weight(t->right, mid, high, weight); } void switch_presence(Tree t, int low, int high, int idx, const vector<pair<LL, int>> &sprats) { if (low + 1 == high) { if (t->number == 1) { // (*t) = Node(); t->number = 0; t->weight = LL{0}; t->max_weight = LL{-1}; } else { // (*t) = Node(1, sprats[low].ft, sprats[low].ft); t->number = 1; t->weight = sprats[low].ft; t->max_weight = sprats[low].ft; } } else { int mid = (low + high) >> 1; if (idx < mid) switch_presence(t->left, low, mid, idx, sprats); else switch_presence(t->right, mid, high, idx, sprats); update_values_of_nonleaf(t); } } void solve() { int original_n; cin >> original_n; static vector<pair<LL, int>> sprats_sorted_by_weight; // weight, event index for (int i = 0; i < original_n; i++) { LL w; cin >> w; sprats_sorted_by_weight.emplace_back(w, -1); } int q; cin >> q; static array<pair<int, pair<LL, int>>, kMaxQ> events; // type, 1 -> {s, (k - LL{1})'s index}, 2-> {LL{0}, w's index}, 3 -> {w, 0} for (int i = 0; i < q; i++) { int type; cin >> type; if (type == 1) { LL s, k; cin >> s >> k; events[i] = {type, {s, 0}}; sprats_sorted_by_weight.emplace_back(k - LL{1}, i); } else { LL w; cin >> w; if (type == 2) { sprats_sorted_by_weight.emplace_back(w, i); events[i].ft = 2; } else events[i] = {type, {w, 0}}; } } sort(sprats_sorted_by_weight.begin(), sprats_sorted_by_weight.end()); debug(sprats_sorted_by_weight); int n = sz(sprats_sorted_by_weight); debug(n); for (int i = 0; i < n; i++) { int event_idx = sprats_sorted_by_weight[i].sd; if (event_idx != -1) { if (events[event_idx].ft == 1) events[event_idx].sd.sd = i; else events[event_idx].sd = {LL{0}, i}; } } Tree tree = build_tree(0, n, sprats_sorted_by_weight); cerr << "Now events:\n"; for (int i = 0; i < q; i++) { auto event = events[i]; int type = event.ft; debug(i, event); if (type == 1) { LL pike_weight = event.sd.ft; int wanted_sprat = event.sd.sd; switch_presence(tree, 0, n, wanted_sprat, sprats_sorted_by_weight); int answer = 0; while (pike_weight <= sprats_sorted_by_weight[wanted_sprat].ft) { debug(pike_weight); int goal_idx = find_first_with_geq_weight(tree, 0, n, pike_weight); debug(goal_idx); LL goal_weight = sprats_sorted_by_weight[goal_idx].ft; debug(goal_weight); // I need to exceed the goal weight. pair<int, LL> result = eat_at_least_from_right_in(tree, 0, n, LL{1} + goal_weight - pike_weight, goal_idx); debug(result); if (pike_weight + result.sd <= goal_weight) { answer = -1; break; } answer += result.ft; pike_weight += result.sd; } cout << answer << "\n"; debug(answer); tidy_up(tree, 0, n, sprats_sorted_by_weight); cerr << "Tidied_up\n"; switch_presence(tree, 0, n, wanted_sprat, sprats_sorted_by_weight); } else { if (type == 2) { debug(event.sd.sd); switch_presence(tree, 0, n, event.sd.sd, sprats_sorted_by_weight); } else { int idx = find_first_with_geq_weight(tree, 0, n, event.sd.ft); switch_presence(tree, 0, n, idx, sprats_sorted_by_weight); } } } } int main() { speed_of_cin_and_cout; int test_cases_num = 1; // cin >> test_cases_num; for (int i = 1; i <= test_cases_num; i++) { local if (test_cases_num > 1) cerr << "Test #" << i << ":\n"; solve(); local if (test_cases_num > 1) cerr << "End of test #" << i << ".\n"; } 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 | // Author: Kamil Nizinski // NOLINT(legal/copyright) #ifdef LOCAL #ifdef COLOR #include "bits/cp_local_color.h" #else #include "bits/cp_local.h" #endif #else #include "bits/stdc++.h" #define debug_arr(arr_name, first, last) #define debug(...) #define cerr if (false) cerr #define speed_of_cin_and_cout ios_base::sync_with_stdio(0), cin.tie(0) #define local if (false) #endif #define ft first #define sd second #define sz(a) (static_cast<int>((a).size())) using namespace std; // NOLINT(build/namespaces) typedef int64_t LL; typedef uint64_t LLU; typedef long double LD; typedef pair<int, int> PII; const int kMaxQ = 100007; struct Node { int number; LL weight; LL max_weight; Node *left; Node *right; bool all_eaten; bool has_changed; Node(int ini_number = 0, LL ini_weight = LL{0}, LL ini_max_weight = LL{-1}, Node *ini_left = nullptr, Node *ini_right = nullptr, bool ini_all_eaten = false, bool ini_has_changed = false) { number = ini_number; weight = ini_weight; max_weight = ini_max_weight; left = ini_left; right = ini_right; all_eaten = ini_all_eaten; has_changed = ini_has_changed; } }; typedef Node* Tree; Tree build_tree(int low, int high, const vector<pair<LL, int>> &sprats) { if (low + 1 == high) { if (sprats[low].sd != -1) { cerr << "Zero\n"; return new Node(); } else { debug(1, sprats[low].ft, sprats[low].ft); return new Node(1, sprats[low].ft, sprats[low].ft); } } int mid = (low + high) >> 1; Tree l = build_tree(low, mid, sprats); Tree r = build_tree(mid, high, sprats); return new Node(l->number + r->number, l->weight + r->weight, max(l->max_weight, r->max_weight), l, r); } void update_values_of_nonleaf(Tree t) { Tree l = t->left; Tree r = t->right; t->number = l->number + r->number; t->weight = l->weight + r->weight; t->max_weight = max(l->max_weight, r->max_weight); } pair<int, LL> eat_at_least_from_right_in(Tree t, int low, int high, LL lower_need, int r) { // lower_need > LL{0} or actually: debug(low, high); debug(lower_need); if (lower_need <= LL{0}) return {0, LL{0}}; if (t->weight == LL{0}) return {0, LL{0}}; if (low >= r) return {0, LL{0}}; if (high <= r) { if (t->weight <= lower_need || (low + 1 == high)) { pair<int, LL> result = {t->number, t->weight}; t->number = 0; t->weight = LL{0}; t->max_weight = LL{-1}; t->has_changed = true; debug(result); return result; } } int mid = (low + high) >> 1; pair<int, LL> result_r = eat_at_least_from_right_in(t->right, mid, high, lower_need, r); lower_need -= result_r.sd; if (result_r.sd > LL{0}) t->has_changed = true; pair<int, LL> result_l = eat_at_least_from_right_in(t->left, low, mid, lower_need, r); if (result_l.sd > LL{0}) t->has_changed = true; update_values_of_nonleaf(t); pair<int, LL> result = {result_l.ft + result_r.ft, result_l.sd + result_r.sd}; debug(result); return result; } void tidy_up(Tree t, int low, int high, const vector<pair<LL, int>> &sprats) { if (t->has_changed) { if (low + 1 == high) { // (*t) = Node(1, sprats[low].ft, sprats[low].ft); t->number = 1; t->weight = sprats[low].ft; t->max_weight = sprats[low].ft; } else { int mid = (low + high) >> 1; tidy_up(t->left, low, mid, sprats); tidy_up(t->right, mid, high, sprats); update_values_of_nonleaf(t); } t->has_changed = false; } } int find_first_with_geq_weight(Tree t, int low, int high, LL weight) { // It exists. if (low + 1 == high) return low; int mid = (low + high) >> 1; if (t->left->max_weight >= weight) return find_first_with_geq_weight(t->left, low, mid, weight); else return find_first_with_geq_weight(t->right, mid, high, weight); } void switch_presence(Tree t, int low, int high, int idx, const vector<pair<LL, int>> &sprats) { if (low + 1 == high) { if (t->number == 1) { // (*t) = Node(); t->number = 0; t->weight = LL{0}; t->max_weight = LL{-1}; } else { // (*t) = Node(1, sprats[low].ft, sprats[low].ft); t->number = 1; t->weight = sprats[low].ft; t->max_weight = sprats[low].ft; } } else { int mid = (low + high) >> 1; if (idx < mid) switch_presence(t->left, low, mid, idx, sprats); else switch_presence(t->right, mid, high, idx, sprats); update_values_of_nonleaf(t); } } void solve() { int original_n; cin >> original_n; static vector<pair<LL, int>> sprats_sorted_by_weight; // weight, event index for (int i = 0; i < original_n; i++) { LL w; cin >> w; sprats_sorted_by_weight.emplace_back(w, -1); } int q; cin >> q; static array<pair<int, pair<LL, int>>, kMaxQ> events; // type, 1 -> {s, (k - LL{1})'s index}, 2-> {LL{0}, w's index}, 3 -> {w, 0} for (int i = 0; i < q; i++) { int type; cin >> type; if (type == 1) { LL s, k; cin >> s >> k; events[i] = {type, {s, 0}}; sprats_sorted_by_weight.emplace_back(k - LL{1}, i); } else { LL w; cin >> w; if (type == 2) { sprats_sorted_by_weight.emplace_back(w, i); events[i].ft = 2; } else events[i] = {type, {w, 0}}; } } sort(sprats_sorted_by_weight.begin(), sprats_sorted_by_weight.end()); debug(sprats_sorted_by_weight); int n = sz(sprats_sorted_by_weight); debug(n); for (int i = 0; i < n; i++) { int event_idx = sprats_sorted_by_weight[i].sd; if (event_idx != -1) { if (events[event_idx].ft == 1) events[event_idx].sd.sd = i; else events[event_idx].sd = {LL{0}, i}; } } Tree tree = build_tree(0, n, sprats_sorted_by_weight); cerr << "Now events:\n"; for (int i = 0; i < q; i++) { auto event = events[i]; int type = event.ft; debug(i, event); if (type == 1) { LL pike_weight = event.sd.ft; int wanted_sprat = event.sd.sd; switch_presence(tree, 0, n, wanted_sprat, sprats_sorted_by_weight); int answer = 0; while (pike_weight <= sprats_sorted_by_weight[wanted_sprat].ft) { debug(pike_weight); int goal_idx = find_first_with_geq_weight(tree, 0, n, pike_weight); debug(goal_idx); LL goal_weight = sprats_sorted_by_weight[goal_idx].ft; debug(goal_weight); // I need to exceed the goal weight. pair<int, LL> result = eat_at_least_from_right_in(tree, 0, n, LL{1} + goal_weight - pike_weight, goal_idx); debug(result); if (pike_weight + result.sd <= goal_weight) { answer = -1; break; } answer += result.ft; pike_weight += result.sd; } cout << answer << "\n"; debug(answer); tidy_up(tree, 0, n, sprats_sorted_by_weight); cerr << "Tidied_up\n"; switch_presence(tree, 0, n, wanted_sprat, sprats_sorted_by_weight); } else { if (type == 2) { debug(event.sd.sd); switch_presence(tree, 0, n, event.sd.sd, sprats_sorted_by_weight); } else { int idx = find_first_with_geq_weight(tree, 0, n, event.sd.ft); switch_presence(tree, 0, n, idx, sprats_sorted_by_weight); } } } } int main() { speed_of_cin_and_cout; int test_cases_num = 1; // cin >> test_cases_num; for (int i = 1; i <= test_cases_num; i++) { local if (test_cases_num > 1) cerr << "Test #" << i << ":\n"; solve(); local if (test_cases_num > 1) cerr << "End of test #" << i << ".\n"; } return 0; } |