Submission #728393

#	Time	Username	Problem	Language	Result	Execution time	Memory
728393		piOOE	Food Court (JOI21_foodcourt)	C++17	20 / 100	1074 ms	41324 KiB

foodcourt

#include <bits/stdc++.h>

using namespace std;
using ll = long long;

namespace SegmentTree {
    struct Info {
        ll sum = 0, mn = 0, mn2 = 3e18;
        int cntmn = 0, len = 0;
    };

    Info operator+(const Info &a, const Info &b) {
        Info res{};
        res.sum = a.sum + b.sum, res.len = a.len + b.len;
        res.mn = min(a.mn, b.mn);
        res.mn2 = min(a.mn == res.mn ? a.mn2 : a.mn, b.mn == res.mn ? b.mn2 : b.mn);
        res.cntmn = (a.mn == res.mn) * a.cntmn + (b.mn == res.mn) * b.cntmn;
        return res;
    }

    vector<Info> t;
    vector<ll> tag;
    int sz = 1;

    void pull(int x) {
        t[x] = t[x << 1] + t[x << 1 | 1];
    }

    void applyAdd(int x, ll tg) {
        tag[x] += tg;
        t[x].sum += t[x].len * tg;
        t[x].mn += tg, t[x].mn2 += tg;
    }

    void applyMin(int x, ll d) {
        if (t[x].mn < d) {
            assert(t[x].mn2 > d);
            t[x].sum += t[x].cntmn * (d - t[x].mn);
            t[x].mn = d;
        }
    }

    void push(int x) {
        if (tag[x]) {
            applyAdd(x << 1, tag[x]);
            applyAdd(x << 1 | 1, tag[x]);
            tag[x] = 0;
        }
        applyMin(x << 1, t[x].mn);
        applyMin(x << 1 | 1, t[x].mn);
    }

    void init(int n) {
        sz = 1 << __lg(n) + !!(n & (n - 1));
        t.assign(sz << 1, {}), tag.assign(sz << 1, {});

        for (int i = 0; i < n; ++i) {
            t[i + sz].cntmn = t[i + sz].len = 1;
        }
        for (int i = sz - 1; i > 0; --i) {
            pull(i);
        }
    }

    void rangeAdd(int l, int r, ll d, int x, int lx, int rx) {
        if (lx >= r || l >= rx) {
            return;
        }
        if (l <= lx && rx <= r) {
            return applyAdd(x, d);
        }
        push(x);
        int mid = (lx + rx) >> 1;
        rangeAdd(l, r, d, x << 1, lx, mid), rangeAdd(l, r, d, x << 1 | 1, mid, rx);
        pull(x);
    }

    void rangeSetMax(int l, int r, ll d, int x = 1, int lx = 0, int rx = sz) {
        if (l >= rx || lx >= r || t[x].mn >= d) {
            return;
        }
        if (l <= lx && rx <= r && t[x].mn2 > d) {
            return applyMin(x, d);
        }
        push(x);
        int mid = lx + rx >> 1;
        rangeSetMax(l, r, d, x << 1, lx, mid), rangeSetMax(l, r, d, x << 1 | 1, mid, rx);
        pull(x);
    }

    void rangeAdd(int l, int r, ll d) {
        rangeAdd(l, r, d, 1, 0, sz);
        rangeSetMax(l, r, 0);
    }

    ll sum(int i, int x = 1, int lx = 0, int rx = sz) {
        while (x < sz) {
            push(x);
            int mid = lx + rx >> 1;
            if (i < mid) {
                x = x << 1;
                rx = mid;
            } else {
                x = x << 1 | 1;
                lx = mid;
            }
        }
        return t[x].sum;
    }
}

template<typename T>
struct Fenwick {
    int n;
    vector<T> a;

    Fenwick() = default;
    explicit Fenwick(int n) : n(n), a(n + 1) {}

    void modify(int x, T v) {
        for (int i = x + 1; i <= n; i += i & -i) {
            a[i] += v;
        }
    }

    void modify(int l, int r, T v) {
        if (l >= r) return;
        modify(l, v), modify(r, -v);
    }

    T sum(int x) {
        T ans = 0;
        for (int i = x + 1; i > 0; i -= i & -i) {
            ans += a[i];
        }
        return ans;
    }
};


int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

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

    struct Query {
        int t, l, r, c;
        ll k;
    };
    vector<Query> queries(q);

    vector<vector<int>> que(q);
    vector<int> L(q, -1), R(q, -1);
    vector<ll> aim(q);

    Fenwick<ll> fn(n);
    SegmentTree::init(n);

    for (int i = 0; i < q; ++i) {
        cin >> queries[i].t;

        if (queries[i].t == 1) {
            cin >> queries[i].l >> queries[i].r >> queries[i].c >> queries[i].k;
        } else if (queries[i].t == 2) {
            cin >> queries[i].l >> queries[i].r >> queries[i].k;
        } else {
            cin >> queries[i].l >> queries[i].k;
        }

        queries[i].l -= 1;

        if (queries[i].t == 1) {
            SegmentTree::rangeAdd(queries[i].l, queries[i].r, queries[i].k);
        } else if (queries[i].t == 2) {
            SegmentTree::rangeAdd(queries[i].l, queries[i].r, -queries[i].k);
            fn.modify(queries[i].l, queries[i].r, queries[i].k);
        } else {
            ll s = fn.sum(queries[i].l);
            ll have = SegmentTree::sum(queries[i].l) + s;
            ll need = queries[i].k + s;

            if (have >= need) {
                R[i] = i;
                aim[i] = need;
            } else {
                R[i] = -1;
            }
        }
    }

    int cnt = 0;
    while (true) {
        assert(++cnt <= 30);
        
        for (int i = 0; i < q; ++i) {
            que[i].clear();
        }

        bool found = false;

        for (int i = 0; i < q; ++i) {
            if (L[i] + 1 < R[i]) {
                found = true;
                que[L[i] + R[i] >> 1].push_back(i);
            }
        }

        if (!found) {
            break;
        }

        fn = Fenwick<ll>(n);
        SegmentTree::init(n);

        for (int i = 0; i < q; ++i) {
            if (queries[i].t == 1) {
                SegmentTree::rangeAdd(queries[i].l, queries[i].r, queries[i].k);
            } else if (queries[i].t == 2) {
                SegmentTree::rangeAdd(queries[i].l, queries[i].r, -queries[i].k);
                fn.modify(queries[i].l, queries[i].r, queries[i].k);
            }

            for (int j : que[i]) {
                ll need = aim[j];
                ll have = SegmentTree::sum(queries[j].l) + fn.sum(queries[j].l);

                if (have >= need) {
                    R[j] = i;
                } else {
                    L[j] = i;
                }
            }
        }
    }

    for (int i = 0; i < q; ++i) {
        if (queries[i].t == 3) {
            if (R[i] == -1) {
                cout << 0 << '\n';
            } else {
                cout << queries[R[i]].c << '\n';
            }
        }
    }


    return 0;
}

Compilation message (stderr)

foodcourt.cpp: In function 'void SegmentTree::init(int)':
foodcourt.cpp:54:27: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
   54 |         sz = 1 << __lg(n) + !!(n & (n - 1));
      |                   ~~~~~~~~^~~~~~~~~~~~~~~~~
foodcourt.cpp: In function 'void SegmentTree::rangeSetMax(int, int, ll, int, int, int)':
foodcourt.cpp:86:22: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   86 |         int mid = lx + rx >> 1;
      |                   ~~~^~~~
foodcourt.cpp: In function 'll SegmentTree::sum(int, int, int, int)':
foodcourt.cpp:99:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   99 |             int mid = lx + rx >> 1;
      |                       ~~~^~~~
foodcourt.cpp: In function 'int main()':
foodcourt.cpp:206:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  206 |                 que[L[i] + R[i] >> 1].push_back(i);

• Subtask 1: 2 / 2
• Subtask 2: 5 / 5
• Subtask 3: 0 / 7
• Subtask 4: 0 / 21
• Subtask 5: 0 / 15
• Subtask 6: 13 / 13
• Subtask 7: 0 / 26
• Subtask 8: 0 / 11