Submission #699910

#TimeUsernameProblemLanguageResultExecution timeMemory
699910KiriLL1caTrampoline (info1cup20_trampoline)C++17
100 / 100
1071 ms81552 KiB
#include <bits/stdc++.h>
#define fr first
#define sc second
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define endl '\n'
#define sz(x) (int)((x).size())
#define vec vector

using namespace std;

template <typename T> inline bool umin (T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; }
template <typename T> inline bool umax (T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; }

typedef long double ld;
typedef long long ll;
typedef unsigned long long ull;
typedef pair <int, int> pii;

inline void solve () {
    int R, C, n; cin >> R >> C >> n;
    const int lg = 31;

    vec <pii> gr (n);
    map <int, vector <int>> mp;
    for (auto &[x, y] : gr) {
        cin >> x >> y;
        mp[x].pb(y);
    }
    for (auto &[_, y] : mp) sort(all(y));
    sort(all(gr));

    vec <vec <int>> up (n, vec <int> (lg));
    /// up[i][j] = p
    /// x[p] = x[i] + 2^j
    /// y[p] > y[i], y[p] -> min

    map <pii, int> cp;
    for (int i = 0; i < n; ++i) {
        auto [x, y] = gr[i]; cp[gr[i]] = i;
        auto it = lower_bound(all(gr), make_pair(x + 1, y));
        if (it == gr.end() || it->fr != x + 1) up[i][0] = -1;
        else up[i][0] = (it - gr.begin());
    }

    for (int i = 1; i < lg; ++i) {
        for (int j = 0; j < n; ++j) {
            if (!~up[j][i - 1]) up[j][i] = -1;
            else up[j][i] = up[up[j][i - 1]][i - 1];
        }
    }

    auto yes = [&] () { cout << "Yes" << endl; };
    auto no = [&] () { cout << "No" << endl; };

    int q; cin >> q;
    while (q--) {
        int x1, y1, x2, y2; cin >> x1 >> y1 >> x2 >> y2;
        if (x1 == x2) {
            if (y1 <= y2) yes();
            else no();
            continue;
        }
        if (x1 > x2) {
            no();
            continue;
        }
        if (!sz(mp[x1])) {
            no();
            continue;
        }

        auto it = lower_bound(all(mp[x1]), y1);
        if (it == mp[x1].end()) {
            no();
            continue;
        }

        int go = cp[{x1, *it}], D = x2 - x1 - 1;
        for (int p = lg - 1; ~p && ~go; --p) {
            if (D >> p & 1) go = up[go][p];
        }
        if (~go && gr[go].fr + 1 == x2 && gr[go].sc <= y2) yes();
        else no();
    }
}

signed main () {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    #ifdef LOCAL
        freopen("input.txt", "r", stdin);
        freopen("output.txt", "w", stdout);
    #endif// LOCAL
    int t = 1; //cin >> t;
    while (t--) solve();
    return 0;
}
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