oj.uz

Submission #600931

# Submission time Handle Problem Language Result Execution time Memory
600931 2022-07-21T09:17:29 Z KoD Fish 2 (JOI22_fish2) C++17
31 / 100
 757 ms 15928 KB 
#include <bits/stdc++.h>

using ll = long long;
using std::pair;
using std::vector;

class Sequence {
    struct Data {
        int max;
        ll sum;
        static Data identity() {
            return {0, 0};
        }
        static Data make(const int x) {
            return {x, x};
        }
        friend Data operator+(const Data& l, const Data& r) {
            return {std::max(l.max, r.max), l.sum + r.sum};
        }
    };

    int size, logn;
    vector<Data> data;

  public:
    explicit Sequence(const vector<int>& vec) {
        logn = 0;
        while ((1 << logn) < (int)vec.size()) {
            logn += 1;
        }
        size = 1 << logn;
        data.resize(2 * size, Data::identity());
        for (int i = 0; i < (int)vec.size(); ++i) {
            data[size + i] = Data::make(vec[i]);
        }
        for (int i = size - 1; i > 0; --i) {
            data[i] = data[2 * i] + data[2 * i + 1];
        }
    }

    void update(int i, const int x) {
        i += size;
        data[i] = Data::make(x);
        while (i > 1) {
            i >>= 1;
            data[i] = data[2 * i] + data[2 * i + 1];
        }
    }

    ll sum(int l, int r) const {
        l += size;
        r += size;
        ll ret = 0;
        while (l < r) {
            if (l & 1) {
                ret += data[l].sum;
                l += 1;
            }
            if (r & 1) {
                r -= 1;
                ret += data[r].sum;
            }
            l >>= 1;
            r >>= 1;
        }
        return ret;
    }

    int upb_to_right(int l, const ll x) {
        if (l == size) return -1;
        l += size;
        do {
            while (!(l & 1)) l >>= 1;
            if (data[l].max > x) {
                while (l < size) {
                    l <<= 1;
                    if (data[l].max <= x) {
                        l += 1;
                    }
                }
                return l - size;
            }
            l >>= 1;
            l += 1;
        } while (l & (l - 1));
        return -1;
    }

    int upb_to_left(int r, const ll x) {
        if (r == 0) return -1;
        r += size;
        do {
            while (!(r & 1)) r >>= 1;
            r -= 1;
            if (data[r].max > x) {
                while (r < size) {
                    r <<= 1;
                    if (data[r + 1].max > x) {
                        r += 1;
                    }
                }
                return r - size;
            }
            r >>= 1;
        } while (r & (r - 1));
        return -1;
    }
};

class Intervals {
    int size, logn;
    vector<vector<pair<int, int>>> data;

  public:
    explicit Intervals(const int n) {
        logn = 0;
        while ((1 << logn) < n) {
            logn += 1;
        }
        size = 1 << logn;
        data.resize(2 * size);
    }

    void add_rec(int u, int l, int r, int a, int b) {
        const int m = (a + b) / 2;
        if (l <= m and m < r) {
            data[u].emplace_back(l, r);
            return;
        }
        if (r <= m) {
            add_rec(2 * u, l, r, a, m); 
        } else {
            add_rec(2 * u + 1, l, r, m, b); 
        }
    }

    void add(const int l, const int r) {
        add_rec(1, l, r, 0, size);
        // int i = l + size, j = l + size + 1, k = 1;
        // while (j < r) {
        //     if (!(i & 1)) {
        //         j += k;
        //     }
        //     i >>= 1;
        //     k <<= 1;
        // }
        // data[i].emplace_back(l, r);
    }

    template <class F>
    void pop(const int k, const F& f) {
        int i = k + size;
        while (i > 0) {
            while (!data[i].empty()) {
                const auto& [l, r] = data[i].back();
                if (l <= k and k < r) {
                    f(l, r);
                    data[i].pop_back();
                } else {
                    break;
                }
            }
            i >>= 1;
        }
    }
};

class SegmentTree {
    struct Data {
        int min, cnt;
        static Data identity() {
            return {1000000000, 0};
        }
        static Data make(const int x) {
            return {x, 1};
        }
        friend Data operator+(const Data& l, const Data& r) {
            const int m = std::min(l.min, r.min);
            return {m, (l.min == m ? l.cnt : 0) + (r.min == m ? r.cnt : 0)};
        }
    };

    int size, logn;
    vector<Data> data;
    vector<int> add;

    void apply(const int k, const int a) {
        data[k].min += a;
        if (k < size) {
            add[k] += a;
        }
    }
    void flush(const int k) {
        if (add[k] != 0) {
            apply(2 * k, add[k]);
            apply(2 * k + 1, add[k]);
            add[k] = 0;
        }
    }
    void push(const int k) {
        const int lsb = __builtin_ctz(k);
        for (int d = logn; d > lsb; --d) {
            flush(k >> d);
        }
    }

    void fetch(const int k) {
        data[k] = data[2 * k] + data[2 * k + 1];
    }
    void pull(int k) {
        k >>= __builtin_ctz(k);
        while (k > 1) {
            fetch(k >>= 1);
        }
    }

  public:
    explicit SegmentTree(const int n) {
        logn = 0;
        while ((1 << logn) < n) {
            logn += 1;
        }
        size = 1 << logn;
        data.resize(2 * size, Data::identity());
        for (int i = 0; i < n; ++i) {
            data[size + i] = Data::make(0);
        }
        for (int i = size - 1; i > 0; --i) {
            data[i] = data[2 * i] + data[2 * i + 1];
        }
        add.resize(size);
    }

    void operate(int l, int r, const int x) {
        l += size;
        r += size;
        push(l);
        push(r);
        const int lc = l, rc = r;
        while (l < r) {
            if (l & 1) {
                apply(l, x);
                l += 1;
            }
            if (r & 1) {
                r -= 1;
                apply(r, x);
            }
            l >>= 1;
            r >>= 1;
        }
        pull(lc);
        pull(rc);
    }

    int fold(int l, int r) {
        l += size;
        r += size;
        push(l);
        push(r);
        Data ret = Data::identity();
        while (l < r) {
            if (l & 1) {
                ret = ret + data[l];
                l += 1;
            }
            if (r & 1) {
                r -= 1;
                ret = data[r] + ret;
            }
            l >>= 1;
            r >>= 1;
        }
        return ret.cnt;
    }
};

int main() {
    int N;
    std::cin >> N;
    vector<int> A(N);
    for (auto& x : A) {
        std::cin >> x;
    }
    Sequence seq(A);
    Intervals range(N);
    SegmentTree seg(N);
    const auto insert = [&](int l, int r) {
        if (l + 1 < r) {
            seg.operate(l + 1, r, 1);
            range.add(l, r + 1);
        }
    };
    const auto erase = [&](const int l, const int r) {
        seg.operate(l + 1, r - 1, -1);
    };
    {
        vector<ll> accum(N + 1);
        for (int i = 0; i < N; ++i) {
            accum[i + 1] = accum[i] + A[i];
        }
        vector<int> stack;
        const auto test = [&](const int l, const int r) {
            if (std::min(A[l], A[r]) > accum[r] - accum[l + 1]) {
                insert(l, r);
            }
        };
        for (int i = 0; i < N; ++i) {
            while (!stack.empty() and A[stack.back()] < A[i]) {
                test(stack.back(), i);
                stack.pop_back();
            }
            if (!stack.empty()) {
                test(stack.back(), i);
            }
            stack.push_back(i);
        }
    }
    int Q;
    std::cin >> Q;
    while (Q--) {
        int t;
        std::cin >> t;
        if (t == 1) {
            int i, x;
            std::cin >> i >> x;
            i -= 1;
            A[i] = x;
            seq.update(i, x);
            range.pop(i, erase);
            vector<pair<int, int>> left, right;
            {
                int k = i + 1;
                ll sum = 0;
                while (k < N) {
                    right.emplace_back(k, seq.sum(i + 1, k));
                    sum += A[k];   
                    k = seq.upb_to_right(k + 1, sum);
                    if (k == -1) {
                        break;
                    }
                } 
            }
            {
                int k = i - 1;
                ll sum = 0;
                while (k >= 0) {
                    left.emplace_back(k, seq.sum(k + 1, i));
                    sum += A[k];   
                    k = seq.upb_to_left(k, sum);
                    if (k == -1) {
                        break;
                    }
                } 
            }
            for (const auto& [l, sl] : left) {
                if (std::min(A[i], A[l]) > sl) {
                    insert(l, i);
                }
            }
            for (const auto& [r, sr] : right) {
                if (std::min(A[i], A[r]) > sr) {
                    insert(i, r);
                }
            }
            for (const auto& [l, sl] : left) {
                for (const auto& [r, sr] : right) {
                    if (std::min(A[l], A[r]) > sl + A[i] + sr) {
                        insert(l, r);
                    }
                }
            }
        } else {
            int l, r;
            std::cin >> l >> r;
            l -= 1;
            {
                ll sum = 0;
                const int lc = l;
                int cand = l;
                while (true) {
                    sum += A[l];
                    const int k = seq.upb_to_right(l + 1, sum);
                    if (k == -1 or k >= r) {
                        break;
                    }
                    if (seq.sum(lc, k) < A[k]) {
                        cand = k;
                    }
                    l = k;
                }
                l = cand;
            }
            {
                ll sum = 0;
                const int rc = r;
                int cand = r;
                while (true) {
                    sum += A[r - 1];
                    const int k = seq.upb_to_left(r - 1, sum);
                    if (k == -1 or k < l) {
                        break;
                    }
                    if (seq.sum(k + 1, rc) < A[k]) {
                        cand = k + 1;
                    }
                    r = k + 1;
                }
                r = cand;
            }
            std::cout << seg.fold(l, r) << '\n';
        } 
    }
    return 0;
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Incorrect 2 ms 340 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 53 ms 15208 KB Output is correct
3 Correct 45 ms 15244 KB Output is correct
4 Correct 51 ms 15284 KB Output is correct
5 Correct 45 ms 15292 KB Output is correct
6 Correct 59 ms 15272 KB Output is correct
7 Correct 28 ms 14900 KB Output is correct
8 Correct 53 ms 15216 KB Output is correct
9 Correct 28 ms 14820 KB Output is correct
10 Correct 41 ms 14776 KB Output is correct
11 Correct 36 ms 14952 KB Output is correct
12 Correct 34 ms 15160 KB Output is correct
13 Correct 33 ms 15260 KB Output is correct
14 Correct 51 ms 15928 KB Output is correct
15 Correct 54 ms 15412 KB Output is correct

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Incorrect 2 ms 340 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 53 ms 15208 KB Output is correct
3 Correct 45 ms 15244 KB Output is correct
4 Correct 51 ms 15284 KB Output is correct
5 Correct 45 ms 15292 KB Output is correct
6 Correct 59 ms 15272 KB Output is correct
7 Correct 28 ms 14900 KB Output is correct
8 Correct 53 ms 15216 KB Output is correct
9 Correct 28 ms 14820 KB Output is correct
10 Correct 41 ms 14776 KB Output is correct
11 Correct 36 ms 14952 KB Output is correct
12 Correct 34 ms 15160 KB Output is correct
13 Correct 33 ms 15260 KB Output is correct
14 Correct 51 ms 15928 KB Output is correct
15 Correct 54 ms 15412 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 483 ms 15344 KB Output is correct
18 Correct 339 ms 15356 KB Output is correct
19 Correct 435 ms 15360 KB Output is correct
20 Correct 450 ms 15288 KB Output is correct
21 Correct 427 ms 15364 KB Output is correct
22 Correct 329 ms 15308 KB Output is correct
23 Correct 420 ms 15296 KB Output is correct
24 Correct 478 ms 15400 KB Output is correct
25 Correct 446 ms 15428 KB Output is correct
26 Correct 486 ms 15436 KB Output is correct
27 Correct 315 ms 15272 KB Output is correct
28 Correct 305 ms 15280 KB Output is correct
29 Correct 310 ms 15288 KB Output is correct
30 Correct 538 ms 14932 KB Output is correct
31 Correct 559 ms 14932 KB Output is correct
32 Correct 562 ms 14924 KB Output is correct
33 Correct 355 ms 14800 KB Output is correct
34 Correct 527 ms 14764 KB Output is correct
35 Correct 438 ms 14680 KB Output is correct
36 Correct 367 ms 14900 KB Output is correct
37 Correct 309 ms 15180 KB Output is correct
38 Correct 308 ms 15188 KB Output is correct
39 Correct 316 ms 15848 KB Output is correct
40 Correct 306 ms 15436 KB Output is correct

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 53 ms 15208 KB Output is correct
3 Correct 45 ms 15244 KB Output is correct
4 Correct 51 ms 15284 KB Output is correct
5 Correct 45 ms 15292 KB Output is correct
6 Correct 59 ms 15272 KB Output is correct
7 Correct 28 ms 14900 KB Output is correct
8 Correct 53 ms 15216 KB Output is correct
9 Correct 28 ms 14820 KB Output is correct
10 Correct 41 ms 14776 KB Output is correct
11 Correct 36 ms 14952 KB Output is correct
12 Correct 34 ms 15160 KB Output is correct
13 Correct 33 ms 15260 KB Output is correct
14 Correct 51 ms 15928 KB Output is correct
15 Correct 54 ms 15412 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Incorrect 757 ms 15208 KB Output isn't correct
18 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Incorrect 2 ms 340 KB Output isn't correct
6 Halted 0 ms 0 KB -