Submission #835047

#	Time	Username	Problem	Language	Result	Execution time	Memory
835047		alex_2008	Trampoline (info1cup20_trampoline)	C++14	100 / 100	1272 ms	81452 KiB

trampoline

#include <iostream>
#include <algorithm>
#include <map>
#include <vector>
#define int long long
using namespace std;
const int N = 2e5 + 10;
map <int, vector<int>> mp;
map <pair<int, int>, int> yp;
vector <pair<int, int>> v;
int a[N];
int dp[N][20];
int ans(int x, int y, int cnt) {
    int u = yp[{x, y}];
    for (int i = 19; i >= 0; i--) {
        if (cnt & (1 << i)) u = dp[u][i];
        if (u == -1) return 1e9 + 10;
    }
    return v[u].second;
}
signed main()
{
    int r, c, n;
    cin >> r >> c >> n;
    for (int i = 1; i <= n; i++) {
        int a, b;
        cin >> a >> b;
        mp[a].push_back(b);
    }
    for (auto &it : mp) {
        sort(it.second.begin(), it.second.end());
    }
    int cnt = -1;
    for (auto it : mp) {
        for (auto j : it.second) {
            v.push_back({ it.first, j });
            yp[{it.first, j}] = ++cnt;
        }
    }
    for (int i = n - 1; i >= 0; i--) {
        if (v[i].first == v.back().first) {
            for (int j = 0; j <= 19; j++) {
                dp[i][j] = -1;
            }
        }
        else {
            auto it = mp.find(v[i].first); it++;
            if (it->first > v[i].first + 1) dp[i][0] = -1;
            else if (it->second.back() < v[i].second) dp[i][0] = -1;
            else {
                int k = lower_bound(it->second.begin(), it->second.end(), v[i].second) - it->second.begin();
                dp[i][0] = yp[{v[i].first + 1, it->second[k]}];
            }
            for (int j = 1; j <= 19; j++) {
                if (dp[i][j - 1] == -1) {
                    dp[i][j] = -1;
                    continue;
                }
                dp[i][j] = dp[dp[i][j - 1]][j - 1];
            }
        }
    }
    int q;
    cin >> q;
    while (q--) {
        int a, b, c, d;
        cin >> a >> b >> c >> d;
      	if (a > c || b > d) {
        	cout << "No\n";
          	continue;
        }
        if (a == c) {
            cout << "Yes\n";
            continue;
        }
        if (mp.find(a) == mp.end()) {
            cout << "No\n";
            continue;
        }
        auto it = mp.find(a);
        if (it->second.back() < b) {
            cout << "No\n";
            continue;
        }
        int j = lower_bound(it->second.begin(), it->second.end(), b) - it->second.begin();
        int l = ans(a, it->second[j], c - a - 1);
        if (l <= d) cout << "Yes\n";
        else cout << "No\n";
    }
}

• Subtask 1: 23 / 23
• Subtask 2: 20 / 20
• Subtask 3: 11 / 11
• Subtask 4: 19 / 19
• Subtask 5: 27 / 27