Submission #888177

#	Time	Username	Problem	Language	Result	Execution time	Memory
888177		heavylightdecomp	Tri (CEOI09_tri)	C++14	0 / 100	123 ms	65536 KiB

tri

#include<bits/stdc++.h>
using namespace std;
#define cerr while(0) cerr
#define ld long double
#define int long long
#define EPS (ld)(2e-9)
#define x first
#define y second
#define vt vector
const int maxn = 2e5+5;
int K,M;
struct line {
    ld m;
    ld c;
    line() {}
    line(ld a, ld b) {
        m = a;
        c = b;
    }
};
line alns[maxn];
ld interx(line a, line b) {
    ld res = (ld)(b.c - a.c) / (ld)(a.m - b.m);
    return res;
}
struct cht {
    bool PREPPED = 0;
    vt<int> emb;
    vt<pair<ld, int>> sta;
    void push(int lne) {
        if(PREPPED) {
            cerr << "Tried inserting on query-only mode!\n";
            assert(1 == 2);
        }
        emb.push_back(lne);
    }
    bool bye(pair<ld, int> g, line h) {
        ld cut = g.first;
        if(interx(alns[g.second], h) <= cut) {
            return true;
        }
        return false;
    }
    void solve() {
        sort(begin(emb), end(emb), [](int a, int b) {if(alns[a].m == alns[b].m) return alns[a].c > alns[b].c; else return alns[a].m > alns[b].m; }); //BUG: Did not account for equal gradients
        for(int _c: emb) {
            line curr = alns[emb[_c]];
            while(sta.size() and (alns[sta.back().second].m == curr.m or bye(sta.back(), curr))) {
                sta.pop_back();
            }
            ld ccut = -1e18;
            if(sta.size()) {
                ccut = interx(curr, alns[sta.back().second]);
            }
            if(ccut <= 1e18) sta.push_back({ccut, _c});
        }
        // cerr << "Yep done\n";
    }
    bool query(ld x, ld maxy) {
        if(not PREPPED) { //BUG: Solve needs to always be before stack condition
            cerr << "Query-only mode activated\n";
            solve();
            PREPPED = true;
        }
        cerr << "I can reach this\n";
        if(sta.empty()) { //BUG: should've checked empty case
            return false;
        }
        auto lb = upper_bound(begin(sta), end(sta), x, 
            [](ld q, pair<ld, int> a) { 
                return q < a.first;
            }
        ); //BUG: Upper bound was so much more weird compared to lower bound
        //Otherwise code was good, trust your code.
        assert(lb != begin(sta));
        lb = prev(lb);
        line now = alns[lb->second];
        ld lhs = (now.m * (ld)x + now.c);
        return lhs <= (ld)maxy;
    }
};
struct rational {
    int p, q;
    rational() {}
    rational(int a, int b) {
        p = a, q = b;
    }
    friend bool operator==(rational a, rational x) {
        if(x.q == a.q and a.q == 0) {
            return true; 
        } else if((x.q == 0 and a.q != 0) or (x.q != 0 and a.q == 0)) {
            return false;
        }
        return a.p * x.q == a.q * x.p;
    }
    friend bool operator<(rational a, rational x) {
        assert(a.p >= 0 and a.q >= 0);
        assert(x.p >= 0 and x.q >= 0);
        if(a.q == 0) return false;
        if(x.q == 0) return true;
        return a.p * x.q < a.q * x.p;
    } 
};
struct seg {
    int tl, tr;
    seg *lc, *rc;
    cht db;
    bool has_child = 0;
    seg() {}
    seg(int a, int b) {
        tl = a, tr = b;
    }
    void split() {
        if(has_child or tl == tr) return;
        has_child = true;
        int tm = (tl+tr)/2;
        lc = new seg(tl, tm);
        rc = new seg(tm+1, tr);
    }
    bool query(int l, int r, ld m, ld b) {
        if(tl == l and tr == r) { //BUG: l == r instead of tl == l and tr == r
            return db.query(m, b);
        }
        assert(tl <= l and r <= tr);
        int tm = (tl+tr)/2;
        split();
        bool res = 0; 
        if(l <= tm) {
            res = res or lc->query(l, min(tm,r), m, b); //BUG: should be l, min(tm,r)
        }
        if(tm < r) {
            res = res or rc->query(max(tm+1,l), r, m, b); //BUG: should be max(tm+1,l), r
        }
        return res;
    }
    void upd(int pseu, int lne) {
        if(tl == tr) {
            db.push(lne);
            return;
        }
        int tm = (tl+tr)/2;
        split();
        db.push(lne);
        if(pseu <= tm) {
            lc->upd(pseu, lne);
        } else {
            rc->upd(pseu, lne);
        }
    }
};
pair<ld, ld> qs[maxn];
pair<int, int> points[maxn];
bool ans[maxn];
int linp[maxn]; //pseudo gradient of a point
pair<int, int> qran[maxn]; //pseudo gradients of query ranges
signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> K >> M;
    vector<pair<rational, int>> mps; //object id
    for(int i = 1; i <= K; i++) {
        int xp, yp;
        cin >> xp >> yp;
        // cerr << (rational(1,1) == rational(2,2)) << '\n';
        // cht.push(line(-xp, yp));
        mps.push_back({rational(yp, xp), i});
        points[i] = {xp, yp};
    }
    // cht.solve();
    for(int g = 1; g <= M; g++) {
        int x1, y1, x2, y2; cin >> x1 >> y1 >> x2 >> y2;
        rational lo (y1, x1), hi (y2, x2);
        if(hi < lo) swap(lo, hi);
        ld m = ((ld)(y2 - y1)) / ((ld)(x2 - x1));
        ld b = -m * (ld)x1 + (ld)y1;
        mps.push_back({lo, g+K});
        mps.push_back({hi, g+K});
        // cerr << m << ' ' << b << '\n';
        // bool res = cht.query(m, b);
        qs[g] = {m, b};
    }
    int ptr = 0;
    int roll = 1;
    sort(begin(mps), end(mps), [](pair<rational, int> a, pair<rational,int> b) { return a.x < b.x; });
    while(ptr < mps.size()) {
        vector<int> these;
        rational cur = mps[ptr].x;
        while(ptr < mps.size() and mps[ptr].x == cur) {
            these.push_back(mps[ptr].y);
            ptr++;
        }
        for(int it : these) {
            if(it <= K) {
                linp[it] = roll;
            } else {
                //AVOIDED BUG: it -= K;
                it -= K;
                if(qran[it].x == 0) {
                    qran[it].x = roll;
                } else {
                    qran[it].y = roll;
                }
            }
        }
        roll++;
    }
    seg* root = new seg(1, roll-1);
    for(int i = 1; i <= K; i++) {
        int xp = points[i].x, yp = points[i].y;
        //REMEMBER: (-xp, yp) for line
        alns[i] = line(-xp, yp);
        root->upd(linp[i], i);
    }
    for(int g = 1; g <= M; g++) {
        ans[g] = root->query(qran[g].x, qran[g].y, qs[g].x, qs[g].y);
    }
    for(int i = 1; i <= M; i++) {
        if(ans[i]) {
            cout << "Y\n";
        } else {
            cout << "N\n";
        }
    }
}

Compilation message (stderr)

tri.cpp: In function 'int main()':
tri.cpp:185:15: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<rational, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  185 |     while(ptr < mps.size()) {
      |           ~~~~^~~~~~~~~~~~
tri.cpp:188:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<rational, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  188 |         while(ptr < mps.size() and mps[ptr].x == cur) {
      |               ~~~~^~~~~~~~~~~~

• Subtask 1: 0 / 100