oj.uz

Submission #601006

# Submission time Handle Problem Language Result Execution time Memory
601006 2022-07-21T10:02:07 Z KoD Fish 2 (JOI22_fish2) C++17
36 / 100
 4000 ms 16276 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) {
            auto& vec = data[i];
            for (int i = 0; i < (int)vec.size();) {
                const auto& [l, r] = vec[i];
                if (l <= k and k < r) {
                    f(l, r);
                    std::swap(vec[i], vec.back());
                    vec.pop_back();
                } else {
                    i += 1;
                }
            }
            // 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 (int l = 0; l <= i; ++l) {
                for (int r = i; r < N; ++r) {
                    if (l < r and std::min(A[l], A[r]) > seq.sum(l + 1, r)) {
                        insert(l, r);
                    }
                }
            }
            // 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
5.0 / 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 1 ms 212 KB Output is correct
5 Correct 374 ms 340 KB Output is correct
6 Correct 133 ms 340 KB Output is correct
7 Correct 379 ms 340 KB Output is correct
8 Correct 12 ms 340 KB Output is correct
9 Correct 118 ms 300 KB Output is correct
10 Correct 592 ms 372 KB Output is correct
11 Correct 103 ms 340 KB Output is correct
12 Correct 717 ms 340 KB Output is correct
13 Correct 200 ms 340 KB Output is correct
14 Correct 75 ms 340 KB Output is correct
15 Correct 492 ms 340 KB Output is correct
16 Correct 32 ms 340 KB Output is correct
17 Correct 632 ms 340 KB Output is correct
18 Correct 81 ms 304 KB Output is correct
19 Correct 540 ms 340 KB Output is correct
20 Correct 191 ms 340 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 296 KB Output is correct
2 Correct 54 ms 15664 KB Output is correct
3 Correct 45 ms 15632 KB Output is correct
4 Correct 53 ms 15820 KB Output is correct
5 Correct 49 ms 15528 KB Output is correct
6 Correct 61 ms 15736 KB Output is correct
7 Correct 30 ms 15020 KB Output is correct
8 Correct 58 ms 15784 KB Output is correct
9 Correct 29 ms 15120 KB Output is correct
10 Correct 45 ms 15256 KB Output is correct
11 Correct 34 ms 15152 KB Output is correct
12 Correct 34 ms 15444 KB Output is correct
13 Correct 33 ms 15436 KB Output is correct
14 Correct 53 ms 16276 KB Output is correct
15 Correct 54 ms 16004 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 1 ms 212 KB Output is correct
5 Correct 374 ms 340 KB Output is correct
6 Correct 133 ms 340 KB Output is correct
7 Correct 379 ms 340 KB Output is correct
8 Correct 12 ms 340 KB Output is correct
9 Correct 118 ms 300 KB Output is correct
10 Correct 592 ms 372 KB Output is correct
11 Correct 103 ms 340 KB Output is correct
12 Correct 717 ms 340 KB Output is correct
13 Correct 200 ms 340 KB Output is correct
14 Correct 75 ms 340 KB Output is correct
15 Correct 492 ms 340 KB Output is correct
16 Correct 32 ms 340 KB Output is correct
17 Correct 632 ms 340 KB Output is correct
18 Correct 81 ms 304 KB Output is correct
19 Correct 540 ms 340 KB Output is correct
20 Correct 191 ms 340 KB Output is correct
21 Correct 1 ms 296 KB Output is correct
22 Correct 54 ms 15664 KB Output is correct
23 Correct 45 ms 15632 KB Output is correct
24 Correct 53 ms 15820 KB Output is correct
25 Correct 49 ms 15528 KB Output is correct
26 Correct 61 ms 15736 KB Output is correct
27 Correct 30 ms 15020 KB Output is correct
28 Correct 58 ms 15784 KB Output is correct
29 Correct 29 ms 15120 KB Output is correct
30 Correct 45 ms 15256 KB Output is correct
31 Correct 34 ms 15152 KB Output is correct
32 Correct 34 ms 15444 KB Output is correct
33 Correct 33 ms 15436 KB Output is correct
34 Correct 53 ms 16276 KB Output is correct
35 Correct 54 ms 16004 KB Output is correct
36 Execution timed out 4049 ms 15908 KB Time limit exceeded
37 Halted 0 ms 0 KB -

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 296 KB Output is correct
2 Correct 54 ms 15664 KB Output is correct
3 Correct 45 ms 15632 KB Output is correct
4 Correct 53 ms 15820 KB Output is correct
5 Correct 49 ms 15528 KB Output is correct
6 Correct 61 ms 15736 KB Output is correct
7 Correct 30 ms 15020 KB Output is correct
8 Correct 58 ms 15784 KB Output is correct
9 Correct 29 ms 15120 KB Output is correct
10 Correct 45 ms 15256 KB Output is correct
11 Correct 34 ms 15152 KB Output is correct
12 Correct 34 ms 15444 KB Output is correct
13 Correct 33 ms 15436 KB Output is correct
14 Correct 53 ms 16276 KB Output is correct
15 Correct 54 ms 16004 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 465 ms 15596 KB Output is correct
18 Correct 383 ms 15608 KB Output is correct
19 Correct 454 ms 15680 KB Output is correct
20 Correct 486 ms 15540 KB Output is correct
21 Correct 454 ms 15524 KB Output is correct
22 Correct 370 ms 15568 KB Output is correct
23 Correct 423 ms 15532 KB Output is correct
24 Correct 560 ms 15692 KB Output is correct
25 Correct 490 ms 15656 KB Output is correct
26 Correct 488 ms 15644 KB Output is correct
27 Correct 324 ms 15752 KB Output is correct
28 Correct 342 ms 15768 KB Output is correct
29 Correct 344 ms 15772 KB Output is correct
30 Correct 562 ms 15040 KB Output is correct
31 Correct 577 ms 15008 KB Output is correct
32 Correct 558 ms 15052 KB Output is correct
33 Correct 356 ms 14868 KB Output is correct
34 Correct 562 ms 14900 KB Output is correct
35 Correct 437 ms 14796 KB Output is correct
36 Correct 433 ms 14956 KB Output is correct
37 Correct 319 ms 15284 KB Output is correct
38 Correct 335 ms 15308 KB Output is correct
39 Correct 340 ms 15972 KB Output is correct
40 Correct 350 ms 15640 KB Output is correct

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 296 KB Output is correct
2 Correct 54 ms 15664 KB Output is correct
3 Correct 45 ms 15632 KB Output is correct
4 Correct 53 ms 15820 KB Output is correct
5 Correct 49 ms 15528 KB Output is correct
6 Correct 61 ms 15736 KB Output is correct
7 Correct 30 ms 15020 KB Output is correct
8 Correct 58 ms 15784 KB Output is correct
9 Correct 29 ms 15120 KB Output is correct
10 Correct 45 ms 15256 KB Output is correct
11 Correct 34 ms 15152 KB Output is correct
12 Correct 34 ms 15444 KB Output is correct
13 Correct 33 ms 15436 KB Output is correct
14 Correct 53 ms 16276 KB Output is correct
15 Correct 54 ms 16004 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Execution timed out 4074 ms 15372 KB Time limit exceeded
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 1 ms 212 KB Output is correct
5 Correct 374 ms 340 KB Output is correct
6 Correct 133 ms 340 KB Output is correct
7 Correct 379 ms 340 KB Output is correct
8 Correct 12 ms 340 KB Output is correct
9 Correct 118 ms 300 KB Output is correct
10 Correct 592 ms 372 KB Output is correct
11 Correct 103 ms 340 KB Output is correct
12 Correct 717 ms 340 KB Output is correct
13 Correct 200 ms 340 KB Output is correct
14 Correct 75 ms 340 KB Output is correct
15 Correct 492 ms 340 KB Output is correct
16 Correct 32 ms 340 KB Output is correct
17 Correct 632 ms 340 KB Output is correct
18 Correct 81 ms 304 KB Output is correct
19 Correct 540 ms 340 KB Output is correct
20 Correct 191 ms 340 KB Output is correct
21 Correct 1 ms 296 KB Output is correct
22 Correct 54 ms 15664 KB Output is correct
23 Correct 45 ms 15632 KB Output is correct
24 Correct 53 ms 15820 KB Output is correct
25 Correct 49 ms 15528 KB Output is correct
26 Correct 61 ms 15736 KB Output is correct
27 Correct 30 ms 15020 KB Output is correct
28 Correct 58 ms 15784 KB Output is correct
29 Correct 29 ms 15120 KB Output is correct
30 Correct 45 ms 15256 KB Output is correct
31 Correct 34 ms 15152 KB Output is correct
32 Correct 34 ms 15444 KB Output is correct
33 Correct 33 ms 15436 KB Output is correct
34 Correct 53 ms 16276 KB Output is correct
35 Correct 54 ms 16004 KB Output is correct
36 Execution timed out 4049 ms 15908 KB Time limit exceeded
37 Halted 0 ms 0 KB -