oj.uz

Submission #373722

# Submission time Handle Problem Language Result Execution time Memory
373722 2021-03-05T13:55:51 Z KoD Fireworks (APIO16_fireworks) C++17
100 / 100
 1596 ms 104044 KB 
#include <bits/stdc++.h>

template <class T>
using Vec = std::vector<T>;
using ll = long long;

template <class F>
struct RecLambda: private F {
    explicit RecLambda(F &&f): F(std::forward<F>(f)) { }
    template <class... Args>
    decltype(auto) operator () (Args&&... args) const {
        return F::operator()(*this, std::forward<Args>(args)...);        
    }
};

struct HeapNode;
using Heap = std::unique_ptr<HeapNode>;

struct HeapNode {
    ll value, lazy;
    Heap left, right;
    HeapNode(const ll value): value(value), lazy(0), left(), right() { }
};

void flush(Heap &heap) {
    heap -> value += heap -> lazy;
    if (heap -> left) heap -> left -> lazy += heap -> lazy;
    if (heap -> right) heap -> right -> lazy += heap -> lazy;
    heap -> lazy = 0;
}

Heap merge(Heap left, Heap right) {
    if (!left) return right;
    if (!right) return left;
    flush(left);
    flush(right);
    if (left -> value < right -> value) {
        std::swap(left, right);
    }
    left -> right = merge(std::move(left -> right), std::move(right));
    std::swap(left -> left, left -> right);
    return left;
}

void push(Heap &heap, const ll value) {
    heap = merge(std::move(heap), std::make_unique<HeapNode>(value));
}

ll top(Heap &heap) {
    flush(heap);
    return heap -> value;
}

ll pop(Heap &heap) {
    const auto ret = top(heap);
    heap = merge(std::move(heap -> left), std::move(heap -> right));
    return ret;
}

void add(Heap &heap, const ll value) {
    heap -> lazy += value;
}

struct SlopeTrick {
    ll last_slope, last_y;
    Heap changes;

    SlopeTrick(): last_slope(), last_y(), changes() { 
        push(changes, 0);
    }
    
    void absorb(SlopeTrick &&other) {
        const auto x1 = top(changes);
        const auto x2 = top(other.changes);
        last_y += other.last_y + (x1 < x2 ? last_slope * (x2 - x1) : other.last_slope * (x1 - x2));
        last_slope += other.last_slope;
        changes = merge(std::move(changes), std::move(other.changes));
    }

    bool pop_last() {
        const auto x1 = pop(changes);
        if (!changes) return false;
        const auto x2 = top(changes);
        last_slope -= 1;
        last_y += last_slope * (x2 - x1);
        return true;
    }
};

int main() {
    int N, M;
    std::cin >> N >> M;
    Vec<Vec<std::pair<int, int>>> children(N + M);
    for (int i = 1; i < N + M; ++i) {
        int p, c;
        std::cin >> p >> c;
        p -= 1;
        children[p].emplace_back(i, c);
    }
    Vec<SlopeTrick> data(N);
    RecLambda([&](auto dfs, const int u) -> void {
        for (const auto [v, c]: children[u]) {
            if (v >= N) {
                SlopeTrick trick;
                trick.last_slope = 1;
                push(trick.changes, c);
                push(trick.changes, c);
                data[u].absorb(std::move(trick));
            }
            else {
                dfs(v);
                while (data[v].last_slope > 1) {
                    data[v].pop_last();
                }
                const auto x1 = pop(data[v].changes);
                const auto x2 = pop(data[v].changes);
                push(data[v].changes, x2 + c);
                push(data[v].changes, x1 + c);
                data[u].absorb(std::move(data[v]));
            }
        }
    })(0);
    ll ans = data[0].last_y;
    while (data[0].pop_last()) {
        ans = std::min(ans, data[0].last_y);
    }
    std::cout << ans << '\n';
    return 0;    
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 2 ms 364 KB Output is correct
31 Correct 2 ms 492 KB Output is correct
32 Correct 3 ms 492 KB Output is correct
33 Correct 4 ms 620 KB Output is correct
34 Correct 6 ms 876 KB Output is correct
35 Correct 6 ms 876 KB Output is correct
36 Correct 7 ms 876 KB Output is correct
37 Correct 8 ms 1004 KB Output is correct
38 Correct 8 ms 1004 KB Output is correct
39 Correct 8 ms 1004 KB Output is correct
40 Correct 9 ms 2028 KB Output is correct
41 Correct 9 ms 2028 KB Output is correct
42 Correct 7 ms 1004 KB Output is correct
43 Correct 9 ms 1516 KB Output is correct
44 Correct 9 ms 1388 KB Output is correct
45 Correct 9 ms 1388 KB Output is correct
46 Correct 10 ms 1004 KB Output is correct
47 Correct 10 ms 1004 KB Output is correct
48 Correct 10 ms 1004 KB Output is correct
49 Correct 11 ms 1004 KB Output is correct
50 Correct 10 ms 1004 KB Output is correct
51 Correct 10 ms 1004 KB Output is correct
52 Correct 10 ms 1004 KB Output is correct
53 Correct 11 ms 1076 KB Output is correct
54 Correct 12 ms 1260 KB Output is correct

Subtask #4
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 2 ms 364 KB Output is correct
31 Correct 2 ms 492 KB Output is correct
32 Correct 3 ms 492 KB Output is correct
33 Correct 4 ms 620 KB Output is correct
34 Correct 6 ms 876 KB Output is correct
35 Correct 6 ms 876 KB Output is correct
36 Correct 7 ms 876 KB Output is correct
37 Correct 8 ms 1004 KB Output is correct
38 Correct 8 ms 1004 KB Output is correct
39 Correct 8 ms 1004 KB Output is correct
40 Correct 9 ms 2028 KB Output is correct
41 Correct 9 ms 2028 KB Output is correct
42 Correct 7 ms 1004 KB Output is correct
43 Correct 9 ms 1516 KB Output is correct
44 Correct 9 ms 1388 KB Output is correct
45 Correct 9 ms 1388 KB Output is correct
46 Correct 10 ms 1004 KB Output is correct
47 Correct 10 ms 1004 KB Output is correct
48 Correct 10 ms 1004 KB Output is correct
49 Correct 11 ms 1004 KB Output is correct
50 Correct 10 ms 1004 KB Output is correct
51 Correct 10 ms 1004 KB Output is correct
52 Correct 10 ms 1004 KB Output is correct
53 Correct 11 ms 1076 KB Output is correct
54 Correct 12 ms 1260 KB Output is correct
55 Correct 28 ms 2156 KB Output is correct
56 Correct 99 ms 7276 KB Output is correct
57 Correct 165 ms 12140 KB Output is correct
58 Correct 232 ms 15352 KB Output is correct
59 Correct 316 ms 20460 KB Output is correct
60 Correct 408 ms 25452 KB Output is correct
61 Correct 473 ms 28908 KB Output is correct
62 Correct 530 ms 31844 KB Output is correct
63 Correct 643 ms 37740 KB Output is correct
64 Correct 713 ms 40172 KB Output is correct
65 Correct 613 ms 104044 KB Output is correct
66 Correct 601 ms 103916 KB Output is correct
67 Correct 520 ms 42988 KB Output is correct
68 Correct 714 ms 72044 KB Output is correct
69 Correct 750 ms 67820 KB Output is correct
70 Correct 751 ms 67804 KB Output is correct
71 Correct 971 ms 43372 KB Output is correct
72 Correct 989 ms 43196 KB Output is correct
73 Correct 1036 ms 42744 KB Output is correct
74 Correct 1041 ms 42960 KB Output is correct
75 Correct 1071 ms 42348 KB Output is correct
76 Correct 1112 ms 42308 KB Output is correct
77 Correct 1172 ms 41832 KB Output is correct
78 Correct 1268 ms 42624 KB Output is correct
79 Correct 1596 ms 55508 KB Output is correct