Submission #1160680

#	Time	Username	Problem	Language	Result	Execution time	Memory
1160680		fzyzzz_z	Two Dishes (JOI19_dishes)	C++20	0 / 100	263 ms	44288 KiB

dishes

#include <bits/stdc++.h>
using namespace std;

using ll = long long;

const int N = (1LL << 20); 

template<class Info, class Tag>
struct LazySegmentTree {
    int n;
    std::vector<Info> info;
    std::vector<Tag> tag;
    LazySegmentTree() : n(0) {}
    LazySegmentTree(int n_, Info v_ = Info()) {
        init(n_, v_);
    }
    template<class T>
    LazySegmentTree(std::vector<T> init_) {
        init(init_);
    }
    void init(int n_, Info v_ = Info()) {
        init(std::vector(n_, v_));
    }
    template<class T>
    void init(std::vector<T> init_) {
        n = init_.size();
        info.assign(4 << std::__lg(n), Info());
        tag.assign(4 << std::__lg(n), Tag());
        std::function<void(int, int, int)> build = [&](int p, int l, int r) {
            if (r - l == 1) {
                info[p] = init_[l];
                return;
            }
            int m = (l + r) / 2;
            build(2 * p, l, m);
            build(2 * p + 1, m, r);
            pull(p);
        };
        build(1, 0, n);
    }
    void pull(int p) {
        info[p] = info[2 * p] + info[2 * p + 1];
    }
    void apply(int p, const Tag &v) {
        info[p].apply(v);
        tag[p].apply(v);
    }
    void push(int p) {
        apply(2 * p, tag[p]);
        apply(2 * p + 1, tag[p]);
        tag[p] = Tag();
    }
    void modify(int p, int l, int r, int x, const Info &v) {
        if (r - l == 1) {
            info[p] = v;
            return;
        }
        int m = (l + r) / 2;
        push(p);
        if (x < m) {
            modify(2 * p, l, m, x, v);
        } else {
            modify(2 * p + 1, m, r, x, v);
        }
        pull(p);
    }
    void modify(int p, const Info &v) {
        modify(1, 0, n, p, v);
    }
    Info rangeQuery(int p, int l, int r, int x, int y) {
        if (l >= y || r <= x) {
            return Info();
        }
        if (l >= x && r <= y) {
            return info[p];
        }
        int m = (l + r) / 2;
        push(p);
        return rangeQuery(2 * p, l, m, x, y) + rangeQuery(2 * p + 1, m, r, x, y);
    }
    Info rangeQuery(int l, int r) {
        return rangeQuery(1, 0, n, l, r);
    }
    void rangeApply(int p, int l, int r, int x, int y, const Tag &v) {
        if (l >= y || r <= x) {
            return;
        }
        if (l >= x && r <= y) {
            apply(p, v);
            return;
        }
        int m = (l + r) / 2;
        push(p);
        rangeApply(2 * p, l, m, x, y, v);
        rangeApply(2 * p + 1, m, r, x, y, v);
        pull(p);
    }
    void rangeApply(int l, int r, const Tag &v) {
        return rangeApply(1, 0, n, l, r, v);
    }
    template<class F>
    int findFirst(int p, int l, int r, int x, int y, F pred) {
        if (l >= y || r <= x || !pred(info[p])) {
            return -1;
        }
        if (r - l == 1) {
            return l;
        }
        int m = (l + r) / 2;
        push(p);
        int res = findFirst(2 * p, l, m, x, y, pred);
        if (res == -1) {
            res = findFirst(2 * p + 1, m, r, x, y, pred);
        }
        return res;
    }
    template<class F>
    int findFirst(int l, int r, F pred) {
        return findFirst(1, 0, n, l, r, pred);
    }
    template<class F>
    int findLast(int p, int l, int r, int x, int y, F pred) {
        if (l >= y || r <= x || !pred(info[p])) {
            return -1;
        }
        if (r - l == 1) {
            return l;
        }
        int m = (l + r) / 2;
        push(p);
        int res = findLast(2 * p + 1, m, r, x, y, pred);
        if (res == -1) {
            res = findLast(2 * p, l, m, x, y, pred);
        }
        return res;
    }
    template<class F>
    int findLast(int l, int r, F pred) {
        return findLast(1, 0, n, l, r, pred);
    }
};
 
struct Tag {
    ll add = 0;   // To store the value to be added to the range
    ll set = -1;  // To store the value to set the range to. -1 means no set operation.

    void apply(Tag t) & {
        if (t.set != -1) {  // If there is a "set" operation
            set = t.set;  // Mark this segment as set to a specific value
            add = 0;       // Reset add because "set" takes precedence over "add"
        }
        add += t.add;  // Accumulate the add operation
    }
};

struct Info {
    ll max = 0;  // To store the maximum value in the segment

    // Apply a tag operation to this Info
    void apply(Tag t) & {
        if (t.set != -1) {
            max = t.set;  // If a "set" operation exists, set the max to that value
        }
        max += t.add;  // Apply any add operation (this will add to the current max)
    }
};

// Combine two `Info` structures by taking the maximum of their values
Info operator+(const Info &a, const Info &b) {
    return {std::max(a.max, b.max)};
}

// [l, r) for all ops 


array<ll, 3> a[N], b[N]; 
ll pa[N], pb[N];  

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    int n, m; 
    cin >> n >> m; 

    // {time, req, score}
    for (int i = 0; i < n; ++i) {
        for (int j = 0; j < 3; ++j) {
            cin >> a[i][j]; 
        }
    }
    for (int i = 0; i < m; ++i) {
        for (int j = 0; j < 3; ++j) {
            cin >> b[i][j]; 
        }
    }
    for (int i = 0; i < n; ++i) {
        pa[i + 1] = pa[i] + a[i][0]; 
    }
    for (int i = 0; i < m; ++i) {
        pb[i + 1] = pb[i] + b[i][0]; 
    }

    ll ans = 0; 
    // edges[i] : {time, dir, score} -1 means A[i]->B 
    vector<vector<array<ll, 3>>> edges(n); 


    for (int i = 0; i < n; ++i) {
        auto can_get = [&] (int x) -> bool { // can process x'th from B and still get award for A[i]
            return pb[x + 1] + pa[i + 1] <= a[i][1]; 
        }; 
        if (can_get(m - 1)) {
            ans += a[i][2]; 
            continue; 
        } 
        if (!can_get(0)) {
            continue; 
        }
        int lo = 0, hi = m - 1; 
        while (lo < hi) {
            int md = (lo + hi + 1) / 2; 
            if (can_get(md)) lo = md; 
            else hi = md - 1; 
        }
        if (a[i][2] > 0) { // do A[i] before B[lo + 1]
            edges[i].push_back({lo + 1, -1, a[i][2]}); 
        } else { // do B[lo + 1] before A[i] 
            ans += a[i][2];  
            edges[i].push_back({lo + 1, 1, -a[i][2]}); 
        }
    }
    
    for (int i = 0; i < m; ++i) {
        auto can_get = [&] (int x) -> bool { 
            return pa[x + 1] + pb[i + 1] <= b[i][1]; 
        }; 
        if (can_get(n - 1)) {
            ans += b[i][2]; 
            continue; 
        } 
        if (!can_get(0)) {
            continue; 
        }
        int lo = 0, hi = n - 1; 
        while (lo < hi) {
            int md = (lo + hi + 1) / 2; 
            if (can_get(md)) lo = md; 
            else hi = md - 1; 
        }
        if (b[i][2] > 0) { // do B[i] before A[lo + 1]
            edges[lo + 1].push_back({i, 1, b[i][2]}); 
        } else { // do A[lo + 1] before B[i] 
            ans += b[i][2];  
            edges[lo + 1].push_back({i, -1, -b[i][2]}); 
        }
    }

    // segtree[x] after time t stores dp(first t from A, x from B), 1B

    LazySegmentTree<Info, Tag> st(m + 2); 

    for (int t = 0; t < n; ++t) {
        
        // cout << "\n" << t << "\n\n"; 
        for (auto [at, dir, score]: edges[t]) {
            if (dir == 1) {
                // st.range_add(at + 1, m + 1, score); 

                
                st.rangeApply(at + 1, m + 2, Tag{score, -1}); 

            }
        }


        map<int, ll> add_pref; 
        for (auto [at, dir, score]: edges[t]) {
            if (dir == -1) {
                add_pref[at] += score; 
            }
        }

        vector<int> ps; 
        for (auto [at, add]: add_pref) {
            // st.range_add(0, at, add); 
            st.rangeApply(0, at + 1, Tag{add, -1}); 


            ps.push_back(at); 
        }

        // for (int i = 0; i <= m + 1; ++i) {
        //     cout << st.rangeQuery(i, i + 1).max << " \n"[i == m + 1]; 
        // }

        for (int i = 0; i < ps.size(); ++i) {
            int next = (i + 1 < ps.size() ? ps[i + 1] : m + 1); 

            // ll cv = st.range_max(ps[i], ps[i]); 
            ll cv = st.rangeQuery(ps[i], ps[i] + 1).max; 

            // cout << "? " << cv << ' ' << ps[i] << ' ' << next << '\n'; 

            // int p = st.find_last(ps[i] + 1, next, cv); 
            int p = st.findFirst(ps[i] + 1, next + 1, [&](const Info & nd){
                return nd.max >= cv; 
            }); 

            if (p == -1) {
                st.rangeApply(ps[i] + 1, next + 1, Tag{0, cv}); 
            } else if (p > ps[i] + 1) {
                st.rangeApply(ps[i] + 1, p, Tag{0, cv}); 
            }
        }

        // for (int i = 0; i <= m + 1; ++i) {
        //     cout << st.rangeQuery(i, i + 1).max << " \n"[i == m + 1]; 
        // }
    }

    cout << (ans + st.rangeQuery(0, m + 1).max) << '\n'; 





    return 0;
}

• Subtask 1: 0 / 5
• Subtask 2: 0 / 3
• Subtask 3: 0 / 7
• Subtask 4: 0 / 39
• Subtask 5: 0 / 11
• Subtask 6: 0 / 9
• Subtask 7: 0 / 17
• Subtask 8: 0 / 9