oj.uz

Submission #1026962

# Submission time Handle Problem Language Result Execution time Memory
1026962 2024-07-18T15:20:39 Z ezdp Abracadabra (CEOI22_abracadabra) C++14
100 / 100
 1659 ms 56664 KB 
#include<bits/stdc++.h>
#define de(x) cout << #x << " = " << x << endl;
#define all(A) A.begin(), A.end()
using namespace std;

const int MAXN = 2e5;
const int MAXQ = 1e6;

ostream& operator<<(ostream& out, array<int, 3> v){
	out << "(" << v[0] << " " << v[1] << " " << v[2] << ")";
	return out;
}

struct Treap{
	struct Node{
		array<int, 3> val;
		int my_size, acc_size;
		int prior;
		Node *lc, *rc;
		Node() {}
		Node(array<int, 3> val) : val(val), prior(rand()), lc(nullptr), rc(nullptr), my_size(val[2] - val[1] + 1), acc_size(val[2] - val[1] + 1) {}
		void update(){
			acc_size = my_size + (lc == nullptr ? 0 : lc -> acc_size) + (rc == nullptr ? 0 : rc -> acc_size);
		}
	};
	Node* root;
	pair<Node*, Node*> split(Node* node, array<int, 3> key){
		if(node == nullptr) return {nullptr, nullptr};
		if(node -> val <= key){
			auto [lt, rt] = split(node -> rc, key);
			node -> rc = lt;
			node -> update();
			return {node, rt};
		}
		else{
			auto [lt, rt] = split(node -> lc, key);
			node -> lc = rt;
			node -> update();
			return {lt, node};
		}
	}
	Node* merge(Node* lt, Node* rt){
		if(lt == nullptr) return rt;
		if(rt == nullptr) return lt;
		if(lt -> prior < rt -> prior){
			rt -> lc = merge(lt, rt -> lc);
			rt -> update();
			return rt;
		}
		else{
			lt -> rc = merge(lt -> rc, rt);
			lt -> update();
			return lt;
		}
	}
	void insert(array<int, 3> key){
		auto [lt, rt] = split(root, key);
		auto mt = new Node(key);
		root = merge(merge(lt, mt), rt);
	}
	void erase(array<int, 3> low_key, array<int, 3> high_key){
		auto [lt, mrt] = split(root, low_key);
		auto [mt, rt] = split(mrt, high_key);
		root = merge(lt, rt);
	}
	void util_print(Node* node){
		if(node == nullptr) return;
		util_print(node -> lc);
		cout << node -> val << " ";
		util_print(node -> rc);
	}
	void print(){ util_print(root); cout << endl; }
	array<int, 3> util_search(Node* node, int &to_left, int key){
		if(to_left + (node -> lc == nullptr ? 0 : node -> lc -> acc_size) < key && to_left + (node -> lc == nullptr ? 0 : node -> lc -> acc_size) +  (node -> my_size) >= key){
			to_left += (node -> lc == nullptr ? 0 : node -> lc -> acc_size);
			return node -> val;
		}
		else if(to_left + (node -> lc == nullptr ? 0 : node -> lc -> acc_size) < key){
			to_left += (node -> acc_size) - (node -> rc -> acc_size);
			return util_search(node -> rc, to_left, key);
		}
		else{
			return util_search(node -> lc, to_left, key);
		}
	}
	pair<int, array<int, 3>> search(int key){ 
		int shift = 0; 
		auto ret = util_search(root, shift, key);
		return {shift, ret};
	}
};

int n, q, a[MAXN + 5], ans[MAXQ + 5], nxt[MAXN + 5];
vector<array<int, 3>> queries;
Treap tr;

bool riffle_shuffle(){
	auto [shift, block] = tr.search(n / 2);
	// cout << "middle block is " << block << " and previous blocks shift with " << shift << endl;
	if(shift + block[2] - block[1] + 1 == n / 2) return false;
	auto [v, l, r] = block;
	tr.erase({v, 0, 0}, {v + 1, 0, 0});
	tr.insert({v, l, n / 2 - shift + block[1] - 1});
	int m = n / 2 - shift + block[1];
	// de(m);
	while(m > 0 && m <= r){
		int my_r = min(r, nxt[m] - 1);
		tr.insert({a[m], m, my_r});
		// cout << "new block " << m << " " << my_r << endl;
		m = my_r + 1;
	}
	// tr.print();
	return true;
}

int main(){
	cin >> n >> q;
	for(int i = 1; i <= n; i ++){
		cin >> a[i];
	}
	for(int i = 1; i <= n; ){
		int j = i;
		while(j <= n && a[j] <= a[i]){
			++ j;
		}
		tr.insert({a[i], i, j - 1});
		i = j;
	}
	// tr.print();
	stack<int> st;
	for(int i = n; i >= 1; i --){
		while(!st.empty() && a[st.top()] < a[i]){
			st.pop();
		}
		nxt[i] = (st.empty() ? n+1 : st.top());
		st.push(i);
	}
	for(int i = 0; i < q; i ++){
		int x, t; cin >> t >> x;
		queries.push_back({t, x, i});
	}
	sort(all(queries));
	
	int cur_time = 0;
	for(auto [t, x, idx] : queries){
		while(cur_time < t){
			if(riffle_shuffle()) ++ cur_time;
			else cur_time = t;
		}
		// cout << "(" << t << ", " << x << ", " << idx << ") -> "; tr.print(); 
		auto [shift, block] = tr.search(x);
		ans[idx] = a[x - shift + block[1] - 1];
	}
	for(int i = 0; i < q; i ++){
		cout << ans[i] << endl;
	}
}
/*
6 3
1 5 6 2 3 4
1 2
0 4
1 5
*/

Compilation message

Main.cpp: In constructor 'Treap::Node::Node(std::array<int, 3>)':
Main.cpp:19:14: warning: 'Treap::Node::rc' will be initialized after [-Wreorder]
   19 |   Node *lc, *rc;
      |              ^~
Main.cpp:17:7: warning:   'int Treap::Node::my_size' [-Wreorder]
   17 |   int my_size, acc_size;
      |       ^~~~~~~
Main.cpp:21:3: warning:   when initialized here [-Wreorder]
   21 |   Node(array<int, 3> val) : val(val), prior(rand()), lc(nullptr), rc(nullptr), my_size(val[2] - val[1] + 1), acc_size(val[2] - val[1] + 1) {}
      |   ^~~~
Main.cpp: In member function 'std::pair<Treap::Node*, Treap::Node*> Treap::split(Treap::Node*, std::array<int, 3>)':
Main.cpp:30:9: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   30 |    auto [lt, rt] = split(node -> rc, key);
      |         ^
Main.cpp:36:9: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   36 |    auto [lt, rt] = split(node -> lc, key);
      |         ^
Main.cpp: In member function 'void Treap::insert(std::array<int, 3>)':
Main.cpp:57:8: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   57 |   auto [lt, rt] = split(root, key);
      |        ^
Main.cpp: In member function 'void Treap::erase(std::array<int, 3>, std::array<int, 3>)':
Main.cpp:62:8: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   62 |   auto [lt, mrt] = split(root, low_key);
      |        ^
Main.cpp:63:8: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   63 |   auto [mt, rt] = split(mrt, high_key);
      |        ^
Main.cpp: In function 'bool riffle_shuffle()':
Main.cpp:98:7: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   98 |  auto [shift, block] = tr.search(n / 2);
      |       ^
Main.cpp:101:7: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  101 |  auto [v, l, r] = block;
      |       ^
Main.cpp: In function 'int main()':
Main.cpp:145:11: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  145 |  for(auto [t, x, idx] : queries){
      |           ^
Main.cpp:151:8: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  151 |   auto [shift, block] = tr.search(x);
      |        ^

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1290 ms 20760 KB Output is correct
2 Correct 1214 ms 20652 KB Output is correct
3 Correct 1215 ms 20648 KB Output is correct
4 Correct 1146 ms 20672 KB Output is correct
5 Correct 1171 ms 20660 KB Output is correct
6 Correct 1174 ms 20052 KB Output is correct
7 Correct 1206 ms 20720 KB Output is correct
8 Correct 1104 ms 19844 KB Output is correct
9 Correct 1112 ms 19636 KB Output is correct
10 Correct 1140 ms 20652 KB Output is correct
11 Correct 1196 ms 20428 KB Output is correct
12 Correct 1152 ms 19636 KB Output is correct
13 Correct 1191 ms 20144 KB Output is correct
14 Correct 1204 ms 20668 KB Output is correct
15 Correct 1185 ms 20660 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1269 ms 19980 KB Output is correct
18 Correct 1207 ms 20140 KB Output is correct
19 Correct 0 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1474 ms 38640 KB Output is correct
2 Correct 1341 ms 48844 KB Output is correct
3 Correct 1102 ms 41644 KB Output is correct
4 Correct 1148 ms 35508 KB Output is correct
5 Correct 1141 ms 37300 KB Output is correct
6 Correct 1070 ms 33660 KB Output is correct
7 Correct 1316 ms 39604 KB Output is correct
8 Correct 1291 ms 37804 KB Output is correct
9 Correct 1097 ms 34992 KB Output is correct
10 Correct 1210 ms 35252 KB Output is correct
11 Correct 1006 ms 30900 KB Output is correct
12 Correct 1054 ms 31144 KB Output is correct
13 Correct 1220 ms 34508 KB Output is correct
14 Correct 1031 ms 30392 KB Output is correct
15 Correct 1239 ms 36528 KB Output is correct
16 Correct 45 ms 4688 KB Output is correct
17 Correct 1265 ms 42408 KB Output is correct
18 Correct 1000 ms 27808 KB Output is correct
19 Correct 266 ms 9924 KB Output is correct
20 Correct 290 ms 11556 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 231 ms 13944 KB Output is correct
2 Correct 183 ms 12484 KB Output is correct
3 Correct 187 ms 13248 KB Output is correct
4 Correct 154 ms 7116 KB Output is correct
5 Correct 174 ms 10656 KB Output is correct
6 Correct 150 ms 7652 KB Output is correct
7 Correct 186 ms 9416 KB Output is correct
8 Correct 166 ms 8132 KB Output is correct
9 Correct 183 ms 9236 KB Output is correct
10 Correct 151 ms 6276 KB Output is correct
11 Correct 151 ms 6344 KB Output is correct
12 Correct 138 ms 6248 KB Output is correct
13 Correct 150 ms 6368 KB Output is correct
14 Correct 154 ms 6340 KB Output is correct
15 Correct 142 ms 6340 KB Output is correct
16 Correct 20 ms 3692 KB Output is correct
17 Correct 154 ms 10848 KB Output is correct
18 Correct 149 ms 5976 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1290 ms 20760 KB Output is correct
2 Correct 1214 ms 20652 KB Output is correct
3 Correct 1215 ms 20648 KB Output is correct
4 Correct 1146 ms 20672 KB Output is correct
5 Correct 1171 ms 20660 KB Output is correct
6 Correct 1174 ms 20052 KB Output is correct
7 Correct 1206 ms 20720 KB Output is correct
8 Correct 1104 ms 19844 KB Output is correct
9 Correct 1112 ms 19636 KB Output is correct
10 Correct 1140 ms 20652 KB Output is correct
11 Correct 1196 ms 20428 KB Output is correct
12 Correct 1152 ms 19636 KB Output is correct
13 Correct 1191 ms 20144 KB Output is correct
14 Correct 1204 ms 20668 KB Output is correct
15 Correct 1185 ms 20660 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1269 ms 19980 KB Output is correct
18 Correct 1207 ms 20140 KB Output is correct
19 Correct 0 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1474 ms 38640 KB Output is correct
22 Correct 1341 ms 48844 KB Output is correct
23 Correct 1102 ms 41644 KB Output is correct
24 Correct 1148 ms 35508 KB Output is correct
25 Correct 1141 ms 37300 KB Output is correct
26 Correct 1070 ms 33660 KB Output is correct
27 Correct 1316 ms 39604 KB Output is correct
28 Correct 1291 ms 37804 KB Output is correct
29 Correct 1097 ms 34992 KB Output is correct
30 Correct 1210 ms 35252 KB Output is correct
31 Correct 1006 ms 30900 KB Output is correct
32 Correct 1054 ms 31144 KB Output is correct
33 Correct 1220 ms 34508 KB Output is correct
34 Correct 1031 ms 30392 KB Output is correct
35 Correct 1239 ms 36528 KB Output is correct
36 Correct 45 ms 4688 KB Output is correct
37 Correct 1265 ms 42408 KB Output is correct
38 Correct 1000 ms 27808 KB Output is correct
39 Correct 266 ms 9924 KB Output is correct
40 Correct 290 ms 11556 KB Output is correct
41 Correct 231 ms 13944 KB Output is correct
42 Correct 183 ms 12484 KB Output is correct
43 Correct 187 ms 13248 KB Output is correct
44 Correct 154 ms 7116 KB Output is correct
45 Correct 174 ms 10656 KB Output is correct
46 Correct 150 ms 7652 KB Output is correct
47 Correct 186 ms 9416 KB Output is correct
48 Correct 166 ms 8132 KB Output is correct
49 Correct 183 ms 9236 KB Output is correct
50 Correct 151 ms 6276 KB Output is correct
51 Correct 151 ms 6344 KB Output is correct
52 Correct 138 ms 6248 KB Output is correct
53 Correct 150 ms 6368 KB Output is correct
54 Correct 154 ms 6340 KB Output is correct
55 Correct 142 ms 6340 KB Output is correct
56 Correct 20 ms 3692 KB Output is correct
57 Correct 154 ms 10848 KB Output is correct
58 Correct 149 ms 5976 KB Output is correct
59 Correct 1 ms 2396 KB Output is correct
60 Correct 0 ms 2396 KB Output is correct
61 Correct 1659 ms 56664 KB Output is correct
62 Correct 1626 ms 49580 KB Output is correct
63 Correct 1581 ms 50092 KB Output is correct
64 Correct 1357 ms 40844 KB Output is correct
65 Correct 1400 ms 42932 KB Output is correct
66 Correct 1366 ms 41392 KB Output is correct
67 Correct 1361 ms 38832 KB Output is correct
68 Correct 1361 ms 38068 KB Output is correct
69 Correct 1331 ms 38608 KB Output is correct
70 Correct 1316 ms 35816 KB Output is correct
71 Correct 1276 ms 34228 KB Output is correct
72 Correct 1326 ms 35440 KB Output is correct
73 Correct 1337 ms 34964 KB Output is correct
74 Correct 1365 ms 36272 KB Output is correct
75 Correct 1330 ms 36032 KB Output is correct
76 Correct 40 ms 4444 KB Output is correct
77 Correct 1362 ms 42412 KB Output is correct
78 Correct 1281 ms 32436 KB Output is correct
79 Correct 1 ms 2396 KB Output is correct
80 Correct 1 ms 2396 KB Output is correct