oj.uz

Submission #389126

# Submission time Handle Problem Language Result Execution time Memory
389126 2021-04-13T17:05:02 Z solaimanope Safety (NOI18_safety) C++17
100 / 100
 81 ms 7160 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long long LL;

/**
 * @brief Slope-Trick
 * @see https://maspypy.com/slope-trick-1-%E8%A7%A3%E8%AA%AC%E7%B7%A8
 */
template< typename T >
struct SlopeTrick {

    const T INF = numeric_limits< T >::max() / 3;

    T min_f;
    priority_queue< T, vector< T >, less<> > L;
    priority_queue< T, vector< T >, greater<> > R;
    T add_l, add_r;


private:
    void push_R(const T &a) {
        R.push(a - add_r);
    }

    T top_R() const {
        return R.top() + add_r;
    }

    T pop_R() {
        T val = top_R();
        R.pop();
        return val;
    }

    void push_L(const T &a) {
        L.push(a - add_l);
    }

    T top_L() const {
        return L.top() + add_l;
    }

    T pop_L() {
        T val = top_L();
        L.pop();
        return val;
    }

public:
    SlopeTrick() : min_f(0), add_l(0), add_r(0) {
        L.push(-INF);
        R.push(INF);
    }

    struct Query {
        T lx, rx, min_f;
    };

    // return min f(x)
    Query query() const {
        return (Query) {top_L(), top_R(), min_f};
    }

    // f(x) += a
    void add_all(const T &a) {
        min_f += a;
    }

    // add \_
    // f(x) += max(a - x, 0)
    void add_a_minus_x(const T &a) {
        min_f += max(T(0), a - top_R());
        push_R(a);
        push_L(pop_R());
    }

    // add _/
    // f(x) += max(x - a, 0)
    void add_x_minus_a(const T &a) {
        min_f += max(T(0), top_L() - a);
        push_L(a);
        push_R(pop_L());
    }

    // add \/
    // f(x) += abs(x - a)
    void add_abs(const T &a) {
        add_a_minus_x(a);
        add_x_minus_a(a);
    }

//    void add_abs(const T &a) {
//        if (a < top_L()) {
//            min_f += top_L() - a;
//            push_L(a);
//            push_L(a);
//            push_R(pop_L());
//        } else if (top_R() < a) {
//            min_f += a - top_R();
//            push_R(a);
//            push_R(a);
//            push_L(pop_R());
//        } else {
//            push_L(a);
//            push_R(a);
//        }
//    }

    // \/ -> \_
    // f_{new} (x) = min f(y) (y <= x)
    void clear_right() {
        while(R.size() >= 2) R.pop();
    }

    // \/ -> _/
    // f_{new} (x) = min f(y) (y >= x)
    void clear_left() {
        while(L.size() >= 2) L.pop();
    }

    // \/. -> .\/
    // f_{new} (x) = f(x - a)
    void shift(const T &a) {
        add_l += a;
        add_r += a;
    }


    T get(const T &x) {
        T ret = min_f;

        if (!L.empty() && x < top_L()) {
            while(!L.empty()) {
                ret += max(T(0), pop_L() - x);
            }
        }
        if (!R.empty() && top_R() < x) {
            while(!R.empty()) {
                ret += max(T(0), x - pop_R());
            }
        }
        return ret;
    }

};

const int MAXN = 2e5+7;
LL S[MAXN];


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

    int n; LL H;
    cin >> n >> H;
    for (int i = 1; i <= n; i++) cin >> S[i];

    SlopeTrick<LL>trick;
    trick.add_abs(0);

    for (int i = 2; i <= n; i++) {
        trick.add_r -= S[i]-S[i-1]-H;
        trick.add_l -= S[i]-S[i-1]+H;
        trick.add_abs(0);
    }

    cout << trick.min_f << "\n";


    return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 328 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 324 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 5836 KB Output is correct
2 Correct 77 ms 6888 KB Output is correct
3 Correct 78 ms 6972 KB Output is correct

Subtask #5
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct

Subtask #7
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 2 ms 460 KB Output is correct
29 Correct 2 ms 460 KB Output is correct
30 Correct 2 ms 460 KB Output is correct
31 Correct 2 ms 460 KB Output is correct
32 Correct 2 ms 460 KB Output is correct
33 Correct 2 ms 460 KB Output is correct
34 Correct 2 ms 460 KB Output is correct

Subtask #8
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 208 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 324 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 320 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 2 ms 460 KB Output is correct
35 Correct 2 ms 460 KB Output is correct
36 Correct 2 ms 460 KB Output is correct
37 Correct 2 ms 460 KB Output is correct
38 Correct 2 ms 460 KB Output is correct
39 Correct 2 ms 460 KB Output is correct
40 Correct 2 ms 460 KB Output is correct
41 Correct 2 ms 588 KB Output is correct
42 Correct 2 ms 460 KB Output is correct
43 Correct 3 ms 460 KB Output is correct
44 Correct 2 ms 460 KB Output is correct
45 Correct 2 ms 460 KB Output is correct
46 Correct 2 ms 460 KB Output is correct

Subtask #9
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 320 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 208 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 324 KB Output is correct
19 Correct 54 ms 5836 KB Output is correct
20 Correct 77 ms 6888 KB Output is correct
21 Correct 78 ms 6972 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 320 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 2 ms 460 KB Output is correct
38 Correct 2 ms 460 KB Output is correct
39 Correct 2 ms 460 KB Output is correct
40 Correct 2 ms 460 KB Output is correct
41 Correct 2 ms 460 KB Output is correct
42 Correct 2 ms 460 KB Output is correct
43 Correct 2 ms 460 KB Output is correct
44 Correct 2 ms 588 KB Output is correct
45 Correct 2 ms 460 KB Output is correct
46 Correct 3 ms 460 KB Output is correct
47 Correct 2 ms 460 KB Output is correct
48 Correct 2 ms 460 KB Output is correct
49 Correct 2 ms 460 KB Output is correct
50 Correct 81 ms 7160 KB Output is correct
51 Correct 67 ms 6484 KB Output is correct
52 Correct 66 ms 6396 KB Output is correct
53 Correct 77 ms 6892 KB Output is correct
54 Correct 80 ms 6780 KB Output is correct
55 Correct 65 ms 6444 KB Output is correct
56 Correct 72 ms 6648 KB Output is correct
57 Correct 66 ms 6444 KB Output is correct
58 Correct 56 ms 5588 KB Output is correct
59 Correct 75 ms 6712 KB Output is correct