oj.uz

Submission #748812

# Submission time Handle Problem Language Result Execution time Memory
748812 2023-05-27T03:53:33 Z QwertyPi Radio Towers (IOI22_towers) C++17
17 / 100
 1624 ms 110424 KB 
#include "towers.h"
#include <bits/stdc++.h>
#define fi first
#define se second

using namespace std;

namespace solve{
	int N; vector<int> H;
	vector<bool> active;
	struct node{
		int l, r, s; node *ll, *rr;
		node(int l, int r, int s = 1) : l(l), r(r), s(s), ll(0), rr(0) {};
		node(node *ll, node *rr) : l(ll->l), r(rr->r), s(ll->s + rr->s), ll(ll), rr(rr) {};
	};
	
	map<int, node*> ans;
	
	node* build(int l, int r){
		node* p = new node(l, r);
		if (l != r) {
			int m = (l + r) / 2;
			p->ll = build(l, m);
			p->rr = build(m + 1, r);
			p->s = p->ll->s + p->rr->s;
		} else {
			p->s = active[l];
		}
		return p;
	}
	
	node* update(node* root, int p, int v){
		if(root->l == root->r)
			return new node(root->l, root->r, v);
		
		if(p <= root->ll->r){
			node *x = update(root->ll, p, v);
			node *y = root->rr;
			return new node(x, y);
		}else{
			node *x = root->ll;
			node *y = update(root->rr, p, v);
			return new node(x, y);
		}
	}
	
	void crawl(node* v, bool ini = true){
		if(v == nullptr)
			return;
		if(v->ll || v->rr) {
			crawl(v->ll, false);
			crawl(v->rr, false);
		} else {
			cout << v->s << ' ';
		}
		if (ini) {
			cout << endl;
		}
	}
	
	int query(node* v, int l, int r){
		if(v->r < l || r < v->l)
			return 0;
		if(l <= v->l && v->r <= r)
			return v->s;
		int x = query(v->ll, l, r);
		int y = query(v->rr, l, r);
		return x + y;
	}
	
	int kth(node* v, int k){
		if(v->l == v->r)
			return v->l;
		if(k <= v->ll->s)
			return kth(v->ll, k);
		else
			return kth(v->rr, k - v->ll->s);
	}
	
	int Min[20][100001], Max[20][100001];
	
	int getMin(int l, int r){
		int d = __lg(r - l + 1);
		return H[Min[d][l]] < H[Min[d][r - (1 << d) + 1]] ? Min[d][l] : Min[d][r - (1 << d) + 1];
	}
	int getMax(int l, int r){
		int d = __lg(r - l + 1);
		return H[Max[d][l]] > H[Max[d][r - (1 << d) + 1]] ? Max[d][l] : Max[d][r - (1 << d) + 1];
	}
	
	void init(){
		set<pair<int, int>> T;
		set<pair<int, pair<int, int>>> S;
		active = vector<bool>(N, true);
		for(int i = 0; i < N; i++){
			if(i > 0 && i < N - 1 && ((H[i - 1] <= H[i] && H[i] <= H[i + 1]) || (H[i - 1] >= H[i] && H[i] >= H[i + 1]))) {
				active[i] = false;
				continue;
			}
			T.insert({i, H[i]});
		}
		
		if (T.size() >= 2 && (T.begin())->se > next(T.begin())->se) {
			active[T.begin()->fi] = false;
			T.erase(T.begin());
		}
		
		if (T.size() >= 2 && prev(T.end())->se > prev(prev(T.end()))->se) {
			active[prev(T.end())->fi] = false;
			T.erase(prev(T.end()));
		}
		/*
		cout << "D = 0" << endl;
		for(auto t : T){
			cout << "[" << t.fi << "] => " << t.se << endl;
		}
		*/
		ans[0] = build(0, N - 1);
		
		for(auto t = T.begin(); t != T.end(); t++){
			if(t != T.begin()) {
				S.insert({abs(t->se - prev(t)->se), {t->fi, prev(t)->fi}});
			}
		}
		
		for(int i = 0; i < N; i++) Min[0][i] = i;
		for(int j = 1; j < 20; j++) for(int i = 0; i <= N - (1 << j); i++) Min[j][i] = H[Min[j - 1][i]] < H[Min[j - 1][i + (1 << j - 1)]] ? Min[j - 1][i] : Min[j - 1][i + (1 << j - 1)];
		for(int i = 0; i < N; i++) Max[0][i] = i;
		for(int j = 1; j < 20; j++) for(int i = 0; i <= N - (1 << j); i++) Max[j][i] = H[Max[j - 1][i]] > H[Max[j - 1][i + (1 << j - 1)]] ? Max[j - 1][i] : Max[j - 1][i + (1 << j - 1)];

		node* cur = ans[0];
		while(S.size()){
			auto [d, p] = *S.begin(); S.erase(S.begin());
			
			int x = p.fi, y = p.se;
			if(!active[x] || !active[y])
				continue;
			
			active[x] = active[y] = false;

			auto ptr = T.lower_bound({x, -1});
			if(ptr != T.end() && ptr->fi == x)
				T.erase(ptr);
			
			ptr = T.lower_bound({y, -1});
			if(ptr != T.end() && ptr->fi == y)
				T.erase(ptr); 
			
			ptr = T.lower_bound({y, -1});
			if (ptr != T.begin() && ptr != T.end()) {
				S.insert({abs(ptr->se - prev(ptr)->se), {ptr->fi, prev(ptr)->fi}});
			}
			/*
			cout << "D = " << d << endl;
			for(auto t : T){
				cout << "[" << t.fi << "] => " << t.se << endl;
			}
			*/
			cur = update(cur, x, 0);
			cur = update(cur, y, 0);
			ans[d + 1] = cur;
		}
	}
	
	int query(int L, int R, int D) {
		node *root = (--ans.upper_bound(D))->se;
		int s_L = query(root, 0, L - 1);
		int s = query(root, L, R);
		if(s <= 1) return 1;
		
		int L1 = kth(root, s_L + 1);
		int L2 = kth(root, s_L + 2);
		
		int R1 = kth(root, s_L + s);
		int R2 = kth(root, s_L + s - 1);
		
		int a = s;
		if (H[L1] > H[L2]) {
			--a;
			if(L < L1){
				int L0 = getMin(L, L1 - 1);
				if(H[L1] - H[L0] >= D){
					a += 2;
				}
			}
		}
		
		if (H[R1] > H[R2]) {
			--a;
			if(R > R1){
				int R0 = getMin(R1 + 1, R);
				if(H[R1] - H[R0] >= D){
					a += 2;
				}
			}
		} 
		return (a + 1) / 2;
	}
};

void init(int N, vector<int> H) {
	solve::N = N;
	solve::H = H;
	solve::init();
}

int max_towers(int L, int R, int D) {
	return solve::query(L, R, D);
}

Compilation message

towers.cpp: In function 'void solve::init()':
towers.cpp:127:126: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
  127 |   for(int j = 1; j < 20; j++) for(int i = 0; i <= N - (1 << j); i++) Min[j][i] = H[Min[j - 1][i]] < H[Min[j - 1][i + (1 << j - 1)]] ? Min[j - 1][i] : Min[j - 1][i + (1 << j - 1)];
      |                                                                                                                            ~~^~~
towers.cpp:127:174: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
  127 |   for(int j = 1; j < 20; j++) for(int i = 0; i <= N - (1 << j); i++) Min[j][i] = H[Min[j - 1][i]] < H[Min[j - 1][i + (1 << j - 1)]] ? Min[j - 1][i] : Min[j - 1][i + (1 << j - 1)];
      |                                                                                                                                                                            ~~^~~
towers.cpp:129:126: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
  129 |   for(int j = 1; j < 20; j++) for(int i = 0; i <= N - (1 << j); i++) Max[j][i] = H[Max[j - 1][i]] > H[Max[j - 1][i + (1 << j - 1)]] ? Max[j - 1][i] : Max[j - 1][i + (1 << j - 1)];
      |                                                                                                                            ~~^~~
towers.cpp:129:174: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
  129 |   for(int j = 1; j < 20; j++) for(int i = 0; i <= N - (1 << j); i++) Max[j][i] = H[Max[j - 1][i]] > H[Max[j - 1][i + (1 << j - 1)]] ? Max[j - 1][i] : Max[j - 1][i + (1 << j - 1)];
      |                                                                                                                                                                            ~~^~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 442 ms 13648 KB 12th lines differ - on the 1st token, expected: '2', found: '1'
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 592 KB Output is correct
2 Correct 3 ms 1488 KB Output is correct
3 Correct 3 ms 1520 KB Output is correct
4 Correct 4 ms 1980 KB Output is correct
5 Correct 3 ms 1872 KB Output is correct
6 Correct 3 ms 1872 KB Output is correct
7 Correct 3 ms 1872 KB Output is correct
8 Correct 1 ms 720 KB Output is correct
9 Correct 1 ms 720 KB Output is correct
10 Correct 1 ms 720 KB Output is correct
11 Correct 1 ms 720 KB Output is correct
12 Incorrect 0 ms 336 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 592 KB Output is correct
2 Correct 3 ms 1488 KB Output is correct
3 Correct 3 ms 1520 KB Output is correct
4 Correct 4 ms 1980 KB Output is correct
5 Correct 3 ms 1872 KB Output is correct
6 Correct 3 ms 1872 KB Output is correct
7 Correct 3 ms 1872 KB Output is correct
8 Correct 1 ms 720 KB Output is correct
9 Correct 1 ms 720 KB Output is correct
10 Correct 1 ms 720 KB Output is correct
11 Correct 1 ms 720 KB Output is correct
12 Incorrect 0 ms 336 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1008 ms 80560 KB Output is correct
2 Correct 1386 ms 81292 KB Output is correct
3 Correct 1504 ms 81216 KB Output is correct
4 Correct 1521 ms 110212 KB Output is correct
5 Correct 1413 ms 110204 KB Output is correct
6 Correct 1590 ms 110260 KB Output is correct
7 Correct 1624 ms 110304 KB Output is correct
8 Correct 1141 ms 23224 KB Output is correct
9 Correct 1142 ms 23208 KB Output is correct
10 Correct 1061 ms 23208 KB Output is correct
11 Correct 1071 ms 23196 KB Output is correct
12 Incorrect 949 ms 23208 KB 170th lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 320 ms 17888 KB Output is correct
2 Correct 1216 ms 81344 KB Output is correct
3 Correct 1195 ms 81180 KB Output is correct
4 Correct 1376 ms 110272 KB Output is correct
5 Correct 1424 ms 110400 KB Output is correct
6 Correct 1141 ms 110328 KB Output is correct
7 Correct 1368 ms 110244 KB Output is correct
8 Correct 903 ms 23208 KB Output is correct
9 Correct 767 ms 23212 KB Output is correct
10 Correct 804 ms 23112 KB Output is correct
11 Correct 722 ms 23192 KB Output is correct
12 Correct 195 ms 81224 KB Output is correct
13 Correct 294 ms 110424 KB Output is correct
14 Correct 290 ms 110280 KB Output is correct
15 Correct 26 ms 23100 KB Output is correct
16 Correct 26 ms 23212 KB Output is correct
17 Correct 192 ms 78612 KB Output is correct
18 Correct 195 ms 81324 KB Output is correct
19 Correct 193 ms 81352 KB Output is correct
20 Correct 289 ms 110220 KB Output is correct
21 Correct 293 ms 110272 KB Output is correct
22 Correct 293 ms 110248 KB Output is correct
23 Correct 295 ms 110224 KB Output is correct
24 Correct 28 ms 23204 KB Output is correct
25 Correct 29 ms 23120 KB Output is correct
26 Correct 27 ms 23208 KB Output is correct
27 Correct 35 ms 23224 KB Output is correct
28 Correct 2 ms 1488 KB Output is correct
29 Correct 3 ms 1872 KB Output is correct
30 Correct 3 ms 1976 KB Output is correct
31 Correct 1 ms 720 KB Output is correct
32 Correct 1 ms 720 KB Output is correct
33 Correct 1 ms 848 KB Output is correct
34 Correct 2 ms 1488 KB Output is correct
35 Correct 2 ms 1488 KB Output is correct
36 Correct 4 ms 1872 KB Output is correct
37 Correct 3 ms 1872 KB Output is correct
38 Correct 4 ms 1872 KB Output is correct
39 Correct 3 ms 1872 KB Output is correct
40 Correct 1 ms 720 KB Output is correct
41 Correct 1 ms 720 KB Output is correct
42 Correct 1 ms 720 KB Output is correct
43 Correct 1 ms 720 KB Output is correct

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 592 KB Output is correct
2 Correct 3 ms 1488 KB Output is correct
3 Correct 3 ms 1520 KB Output is correct
4 Correct 4 ms 1980 KB Output is correct
5 Correct 3 ms 1872 KB Output is correct
6 Correct 3 ms 1872 KB Output is correct
7 Correct 3 ms 1872 KB Output is correct
8 Correct 1 ms 720 KB Output is correct
9 Correct 1 ms 720 KB Output is correct
10 Correct 1 ms 720 KB Output is correct
11 Correct 1 ms 720 KB Output is correct
12 Incorrect 0 ms 336 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 442 ms 13648 KB 12th lines differ - on the 1st token, expected: '2', found: '1'
2 Halted 0 ms 0 KB -