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Submission #389138

# Submission time Handle Problem Language Result Execution time Memory
389138 2021-04-13T17:33:18 Z solaimanope Potatoes and fertilizers (LMIO19_bulves) C++17
100 / 100
 462 ms 16640 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 = 5e5+7;
int a[MAXN], b[MAXN];

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

    int n;
    cin >> n;
    for (int i = 1; i <= n; i++) cin >> a[i] >> b[i];

    SlopeTrick<LL> trick;
    for (int i = 0; i < n; i++) trick.add_abs(0);

    for (int i = 1; i <= n; i++) {
        trick.shift(-(b[i]-a[i]));
        trick.clear_left();
        trick.add_abs(0);
    }

    cout << trick.get(0) << "\n";

    return 0;
}

Subtask #1
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 440 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 33 ms 2268 KB Output is correct
5 Correct 73 ms 4140 KB Output is correct
6 Correct 176 ms 8480 KB Output is correct
7 Correct 424 ms 16640 KB Output is correct
8 Correct 344 ms 16488 KB Output is correct
9 Correct 450 ms 16476 KB Output is correct
10 Correct 333 ms 16520 KB Output is correct
11 Correct 321 ms 16584 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 440 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 33 ms 2268 KB Output is correct
5 Correct 73 ms 4140 KB Output is correct
6 Correct 176 ms 8480 KB Output is correct
7 Correct 424 ms 16640 KB Output is correct
8 Correct 344 ms 16488 KB Output is correct
9 Correct 450 ms 16476 KB Output is correct
10 Correct 333 ms 16520 KB Output is correct
11 Correct 321 ms 16584 KB Output is correct
12 Correct 89 ms 4548 KB Output is correct
13 Correct 243 ms 13356 KB Output is correct
14 Correct 462 ms 16628 KB Output is correct
15 Correct 356 ms 16536 KB Output is correct
16 Correct 421 ms 16456 KB Output is correct
17 Correct 249 ms 16520 KB Output is correct
18 Correct 2 ms 460 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 440 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 460 KB Output is correct
10 Correct 2 ms 460 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 440 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 460 KB Output is correct
10 Correct 2 ms 460 KB Output is correct
11 Correct 2 ms 460 KB Output is correct
12 Correct 2 ms 332 KB Output is correct
13 Correct 3 ms 460 KB Output is correct
14 Correct 2 ms 460 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 2 ms 460 KB Output is correct
17 Correct 2 ms 460 KB Output is correct
18 Correct 2 ms 460 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 440 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 460 KB Output is correct
10 Correct 2 ms 460 KB Output is correct
11 Correct 33 ms 2268 KB Output is correct
12 Correct 73 ms 4140 KB Output is correct
13 Correct 176 ms 8480 KB Output is correct
14 Correct 424 ms 16640 KB Output is correct
15 Correct 344 ms 16488 KB Output is correct
16 Correct 450 ms 16476 KB Output is correct
17 Correct 333 ms 16520 KB Output is correct
18 Correct 321 ms 16584 KB Output is correct
19 Correct 89 ms 4548 KB Output is correct
20 Correct 243 ms 13356 KB Output is correct
21 Correct 462 ms 16628 KB Output is correct
22 Correct 356 ms 16536 KB Output is correct
23 Correct 421 ms 16456 KB Output is correct
24 Correct 249 ms 16520 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 3 ms 460 KB Output is correct
27 Correct 2 ms 460 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 80 ms 4528 KB Output is correct
34 Correct 169 ms 13456 KB Output is correct
35 Correct 374 ms 16512 KB Output is correct
36 Correct 303 ms 16476 KB Output is correct
37 Correct 340 ms 16524 KB Output is correct
38 Correct 438 ms 16596 KB Output is correct
39 Correct 272 ms 16532 KB Output is correct
40 Correct 239 ms 15784 KB Output is correct
41 Correct 251 ms 16508 KB Output is correct
42 Correct 245 ms 16524 KB Output is correct
43 Correct 243 ms 16504 KB Output is correct
44 Correct 279 ms 16524 KB Output is correct
45 Correct 415 ms 16532 KB Output is correct
46 Correct 269 ms 16472 KB Output is correct
47 Correct 253 ms 14744 KB Output is correct