답안 #1050343

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1050343 2024-08-09T08:50:34 Z 우민규(#11047) 별자리 3 (JOI20_constellation3) C++17
0 / 100
1 ms 604 KB
#include <bits/stdc++.h>
using namespace std;

struct Star {
    int x, y;
    int c;
    int slq;     // segment tree left query range
    int srq;     // " right query range
    int rl, rr;  // reporting l, reporting r
    Star(int x, int y, int c)
        : x(x), y(y), c(c), slq(-1), srq(-1), rl(-1), rr(-1) {};
};

struct Seg {
    int n;
    vector<int64_t> seg;

    Seg(int _n) : n(_n), seg(2 * _n, 0) {};

    int64_t sum(int l, int r) {
        l += n, r += n;
        int64_t ret = 0;
        while (l < r) {
            if (l & 1) {
                ret += seg[l];
                l += 1;
            }
            if (r & 1) {
                r -= 1;
                ret += seg[r];
            }

            l /= 2, r /= 2;
        }
        return ret;
    }

    int64_t at(int i) {
        return seg[i + n];
    }
    
    void set(int i, int64_t val) {
        i += n;
        seg[i] = val;
        while (i > 1) {
            i /= 2;
            seg[i] = seg[2 * i] + seg[2 * i + 1];
        }
    }
};

int n, m;
vector<int> a;
vector<vector<int>> to_zero_l, to_zero_r;
vector<Star> stars;
vector<vector<int>> stars_by_x;
vector<int64_t> stars_max_c, buildings_profit_l, buildings_profit_r;
vector<int> buildings_rl, buildings_rr;

void solve() {
    cin >> n;
    a.resize(n), stars_by_x.assign(n + 1, {});
    for (auto& a : a) cin >> a;
    a.push_back(1000000);
    n += 1;

    to_zero_l.assign(n, {});
    to_zero_r.assign(n, {});
    buildings_profit_l.assign(n, 0), buildings_profit_r.assign(n, 0);
    buildings_rl.assign(n, 0), buildings_rr.assign(n, 0);

    cin >> m;
    for (int i = 0; i < m; ++i) {
        int x, y, c;
        cin >> x >> y >> c;
        x -= 1;
        stars.push_back(Star(x, y, c));
    }
    stars.push_back(Star(n - 1, 1000001, 0));


    m += 1;

    stars_max_c.assign(m, 0);

    sort(stars.begin(), stars.end(),
         [&](const Star& lhs, const Star& rhs) { return lhs.x < rhs.x; });
    for (int i = 0; i < stars.size(); ++i) {
        stars_by_x[stars[i].x].push_back(i);
    }
    // add left and right query
    for (auto is_left : {true, false}) {
        auto report = [&](Star& x) -> int& { return is_left ? x.rl : x.rr; };
        auto seg_query = [&](Star& x) -> int& {
            return is_left ? x.slq : x.srq;
        };
        auto to_zero = [&](int i) -> vector<int>& {
            return is_left ? to_zero_l[i] : to_zero_r[i];
        };
        auto building_report = [&](int i) -> int& {
            return is_left ? buildings_rl[i] : buildings_rr[i];
        };

        vector<pair<int, int>> cur_buildings;
        set<pair<int, int>> cur_stars;
        int i = is_left ? 0 : a.size() - 1;
        while (is_left ? i < a.size() : i >= 0) {
            pair<int, int> cur = {a[i], i};
            while (!cur_buildings.empty() && cur_buildings.back() < cur) {
                to_zero(i).push_back(cur_buildings.back().second);
                building_report(cur_buildings.back().second) = i;
                cur_buildings.pop_back();
            }
            cur_buildings.push_back(cur);

            while (!cur_stars.empty()) {
                int fst_idx = cur_stars.begin()->second;
                if (stars[fst_idx].y > a[i]) {
                    break;
                }
                report(stars[fst_idx]) = i;
                cur_stars.erase(cur_stars.begin());
            }

            for (auto s : stars_by_x[i]) {
                auto it =
                    lower_bound(cur_buildings.rbegin(), cur_buildings.rend(),
                                make_pair(stars[s].y, INT_MIN));
                int query_idx = it == cur_buildings.rend() ? -1 : it->second;

                seg_query(stars[s]) = query_idx;

                cur_stars.insert({stars[s].y, s});
            }

            i = is_left ? i + 1 : i - 1;
        }
    }
    // y, idx, is star
    vector<tuple<int, int, bool>> stars_buildings;
    for (int i = 0; i < stars.size(); ++i) {
        int y = stars[i].y;
        stars_buildings.push_back({y, i, true});
    }
    for (int i = 0; i < a.size(); ++i) {
        stars_buildings.push_back({a[i], i, false});
    }

    sort(stars_buildings.begin(), stars_buildings.end(),
         [&](const tuple<int, int, bool>& a, const tuple<int, int, bool>& b) {
            if (get<0>(a) == get<0>(b)) {
                return get<2>(a) > get<2>(b);
            }
            return get<0>(a) < get<0>(b);
         });

    Seg seg_l(n), seg_r(n);
    
    for (auto [_, idx, is_star] : stars_buildings) {
        if (is_star) {
            if (idx == 3) {
                int x = 3;
            }
            Star cur = stars[idx];
            int64_t left_sum = seg_l.sum(cur.slq + 1, cur.x + 1);
            int64_t right_sum = seg_r.sum(cur.x, cur.srq == -1 ? n : cur.srq);
            int64_t cur_profit = left_sum + cur.c + right_sum;
            stars_max_c[idx] = cur_profit;
            buildings_profit_l[cur.rl] = max(buildings_profit_l[cur.rl], cur_profit);
            buildings_profit_r[cur.rr] = max(buildings_profit_r[cur.rr], cur_profit);
        } else {
            int64_t cur_profit_l = 0;
            for (auto to_zero : to_zero_l[idx]) {
                cur_profit_l += buildings_profit_l[to_zero];
                // seg_r.set(to_zero, 0);
            }
            seg_l.set(idx, buildings_profit_l[idx] - cur_profit_l);

            int64_t cur_profit_r = 0;
            for (auto to_zero : to_zero_r[idx]) {
                cur_profit_r += buildings_profit_r[to_zero];
                // seg_r.set(to_zero, 0);
            }
            seg_r.set(idx, buildings_profit_r[idx] - cur_profit_r);

            buildings_profit_l[buildings_rl[idx]] += buildings_profit_l[idx];
            buildings_profit_r[buildings_rr[idx]] += buildings_profit_r[idx];
        }
    }

    int64_t sum_c = 0;
    for (auto star : stars) sum_c += star.c;

    cout << sum_c - stars_max_c[m - 1] << "\n";
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    int t = 1;
    solve();
}

Compilation message

constellation3.cpp: In function 'void solve()':
constellation3.cpp:88:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Star>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   88 |     for (int i = 0; i < stars.size(); ++i) {
      |                     ~~^~~~~~~~~~~~~~
constellation3.cpp:107:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  107 |         while (is_left ? i < a.size() : i >= 0) {
      |                          ~~^~~~~~~~~~
constellation3.cpp:141:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Star>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  141 |     for (int i = 0; i < stars.size(); ++i) {
      |                     ~~^~~~~~~~~~~~~~
constellation3.cpp:145:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  145 |     for (int i = 0; i < a.size(); ++i) {
      |                     ~~^~~~~~~~~~
constellation3.cpp:162:21: warning: unused variable 'x' [-Wunused-variable]
  162 |                 int x = 3;
      |                     ^
constellation3.cpp: In function 'int main()':
constellation3.cpp:199:9: warning: unused variable 't' [-Wunused-variable]
  199 |     int t = 1;
      |         ^
# 결과 실행 시간 메모리 Grader output
1 Runtime error 1 ms 604 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Runtime error 1 ms 604 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Runtime error 1 ms 604 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -