oj.uz

Submission #1104856

# Submission time Handle Problem Language Result Execution time Memory
1104856 2024-10-24T14:28:19 Z abushbandit_ Trampoline (info1cup20_trampoline) C++17
100 / 100
 911 ms 111568 KB 
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimize("Ofast,unroll-loops")

#include "bits/stdc++.h"

using namespace std;

//~ #ifndef ONLINE_JUDGE
//~ #include "debug.h"
//~ #else
//~ #define debug(...)
//~ #define debugArr(...)
//~ #endif

#define int long long
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define ff first
#define ss second
#define pb push_back

template<class T, class U> inline bool chmin(T& a, const U& b) { if (a > b) { a = b; return true; } return false; }
template<class T, class U> inline bool chmax(T& a, const U& b) { if (a < b) { a = b; return true; } return false; }

const int inf = 1e9;
const int mod = 1e9 + 7;
const int N = 1e5 + 5;

void solve() {
	
	int r,c,n;
	cin >> r >> c >> n;
	if(r <= 2500 && c <= 2500) {
		int a[n],b[n];
		vector<pair<int,int>> v;
		for(int i = 0;i < n;i++) {
			cin >> a[i] >> b[i];
			v.pb({a[i],b[i]});
		}
		sort(all(v));
		int q;
		cin >> q;
		while(q--) {
			int xs,ys,xf,yf;
			cin >> xs >> ys >> xf >> yf;
			bool check = 0;
			for(int i = 0;i < n;i++) {
				if(xs == xf && yf >= ys) {
					check = 1;
					break;
				}
				if(v[i].ff == xs && v[i].ss >= ys) {
					xs++;
					ys = v[i].ss;
				}
			}
			if(xs == xf && yf >= ys) {
				check = 1;
			}
			if(check) {
				cout << "Yes\n";
			} else {
				cout << "No\n";
			}
		}
		return;
	}
	int a[n],b[n];
	vector<pair<int,int>> v;
	map<int,vector<pair<int,int>>> mp;
	set<int> st;
	for(int i = 0;i < n;i++) {
		cin >> a[i] >> b[i];
		v.pb({a[i],b[i]});
		st.insert(a[i]);
	}
	sort(all(v));
	reverse(all(v));
	int id = 0;
	vector<vector<pair<int,int>>> up(n,vector<pair<int,int>> (20,{-1,-1}));
	vector<int> pr(n,-1);
	
	for(auto [i,j] : v) {
		mp[i].pb({j,id++});
	}
	for(auto i : st) sort(all(mp[i]));
	id = 0;
	int last = -1;
	for(auto [i,j] : v) {
		if(mp.find(i + 1) == mp.end()) {
			last = i;
			id++;
			continue;
		}
		int lst = pr[id - 1] - 1;
		if(pr[id - 1] == -1 || last != i) lst = mp[i + 1].size() - 1;
		while(lst >= 0 && mp[i + 1][lst].ff >= j) {
			lst--;
		}
		lst++;
		pr[id] = lst;
		if(lst == (int)mp[i + 1].size()) continue;
		up[id][0] = {mp[i + 1][lst]};
		for(int k = 1;k < 20;k++) {
			if(up[id][k - 1].ss == -1) break;
			up[id][k] = {up[up[id][k - 1].ss][k - 1]}; 
			//~ if(last == i) {
				//~ if(up[id - 1][k].ff < up[id][k].ff) {
					//~ up[id - 1][k] = up[id][k];
				//~ }
			//~ }	
		}
		id++;
		last = i;
	}
	auto get = [&](int a,int k) -> int {
		int val = inf;
		for(int i = 0;i < 20;i++) {
			if(k >> i & 1) {
				val = up[a][i].ff;
				a = up[a][i].ss;
				if(a == -1) {
					return -1;
				}
			}
		}
		return val;
	};
	
	
	int q;
	cin >> q;
	while(q--) {
		int xs,ys,xf,yf;
		cin >> xs >> ys >> xf >> yf;
		if(xs == xf && ys <= yf) {
			cout << "Yes\n";
			continue;
		} else if(xs == xf) {
			cout << "No\n";
			continue;
		}
		int ans = -1,l = 0,r = mp[xs].size() - 1;
		while(l <= r) {
			int mid = l + (r - l) / 2;
			if(mp[xs][mid].ff >= ys) {
				r = mid - 1;
				ans = mid;
			} else {
				l = mid + 1;
			}
		}
		if(ans == -1 || xf < xs) {
			cout << "No\n";
		} else {
			int x = 0;
			if(xf - xs == 1) {
				x = mp[xs][ans].ff;
			} else {
				x = get(mp[xs][ans].ss,xf - xs - 1);
			}
			if(x <= yf && x != -1) {
				cout << "Yes\n";
			} else {
				cout << "No\n";
			}
		}
	}
}

signed main() {
	
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);cout.tie(nullptr);
	
	int t = 1;
	//~ cin >> t;
	while(t--) {
		solve();
	}
	
	
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 848 KB 200 token(s): yes count is 21, no count is 179
2 Correct 4 ms 848 KB 200 token(s): yes count is 70, no count is 130
3 Correct 3 ms 592 KB 197 token(s): yes count is 25, no count is 172

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 365 ms 9672 KB 4000 token(s): yes count is 99, no count is 3901
2 Correct 362 ms 10628 KB 4000 token(s): yes count is 91, no count is 3909
3 Correct 413 ms 9672 KB 4000 token(s): yes count is 4000, no count is 0
4 Correct 407 ms 11208 KB 4000 token(s): yes count is 1991, no count is 2009

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 246 ms 84640 KB 200000 token(s): yes count is 110486, no count is 89514
2 Correct 246 ms 85436 KB 200000 token(s): yes count is 114664, no count is 85336
3 Correct 259 ms 83644 KB 200000 token(s): yes count is 86232, no count is 113768
4 Correct 323 ms 84840 KB 200000 token(s): yes count is 94603, no count is 105397
5 Correct 319 ms 84960 KB 200000 token(s): yes count is 94148, no count is 105852
6 Correct 435 ms 93360 KB 200000 token(s): yes count is 97163, no count is 102837

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2384 KB 5000 token(s): yes count is 3238, no count is 1762
2 Correct 7 ms 2384 KB 5000 token(s): yes count is 3837, no count is 1163
3 Correct 9 ms 3152 KB 5000 token(s): yes count is 4104, no count is 896
4 Correct 7 ms 2384 KB 5000 token(s): yes count is 3934, no count is 1066
5 Correct 9 ms 2640 KB 5000 token(s): yes count is 3384, no count is 1616
6 Correct 7 ms 2384 KB 5000 token(s): yes count is 3390, no count is 1610

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 699 ms 95192 KB 200000 token(s): yes count is 171404, no count is 28596
2 Correct 538 ms 87472 KB 200000 token(s): yes count is 161254, no count is 38746
3 Correct 348 ms 83584 KB 200000 token(s): yes count is 117455, no count is 82545
4 Correct 911 ms 111568 KB 200000 token(s): yes count is 182118, no count is 17882
5 Correct 481 ms 93612 KB 200000 token(s): yes count is 167565, no count is 32435
6 Correct 327 ms 85432 KB 200000 token(s): yes count is 156797, no count is 43203
7 Correct 297 ms 85432 KB 200000 token(s): yes count is 156797, no count is 43203
8 Correct 271 ms 83640 KB 200000 token(s): yes count is 122100, no count is 77900
9 Correct 581 ms 93624 KB 200000 token(s): yes count is 139670, no count is 60330
10 Correct 602 ms 93492 KB 200000 token(s): yes count is 165806, no count is 34194
11 Correct 652 ms 102408 KB 200000 token(s): yes count is 175646, no count is 24354
12 Correct 235 ms 85432 KB 200000 token(s): yes count is 134695, no count is 65305
13 Correct 274 ms 84860 KB 200000 token(s): yes count is 126733, no count is 73267
14 Correct 461 ms 84740 KB 200000 token(s): yes count is 155290, no count is 44710
15 Correct 256 ms 85848 KB 200000 token(s): yes count is 129674, no count is 70326