Submission #1104834

#	Time	Username	Problem	Language	Result	Execution time	Memory
1104834		abushbandit_	Trampoline (info1cup20_trampoline)	C++17	57 / 100	886 ms	111536 KiB

trampoline

#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;
	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];
		if(a[i] > r || b[i] > c) continue;
		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;
	}
	assert(st.size() > 1);
	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) >> 1;
			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;
			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: 0 / 23
• Subtask 2: 0 / 20
• Subtask 3: 11 / 11
• Subtask 4: 19 / 19
• Subtask 5: 27 / 27