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Submission #624960

# Submission time Handle Problem Language Result Execution time Memory
624960 2022-08-09T08:15:05 Z KoD Palembang Bridges (APIO15_bridge) C++17
100 / 100
 109 ms 8724 KB 
#include <bits/stdc++.h>

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

template <class T>
constexpr T inf = std::numeric_limits<T>::max() / 2;

class slope_trick {
    std::priority_queue<int> left;
    std::priority_queue<int, vector<int>, std::greater<>> right;
    ll min;

  public:
    slope_trick() : left(), right(), min(0) {}

    void add(const int x) {
        if (!left.empty() and x < left.top()) {
            min += left.top() - x;
            left.push(x);
            right.push(left.top());
            left.pop();
        } else {
            right.push(x);
        }
        if (!right.empty() and x > right.top()) {
            min += x - right.top();
            right.push(x);
            left.push(right.top());
            right.pop();
        } else {
            left.push(x);
        }
    }

    ll minimum() const {
        return min;
    }
};

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    int K, N;
    std::cin >> K >> N;
    vector<int> S, T;
    ll must = 0;
    while (N--) {
        char p, q;
        int a, b;
        std::cin >> p >> a >> q >> b;
        if (p == q) {
            must += std::abs(a - b);
        } else {
            must += 1;
            S.push_back(a);
            T.push_back(b);
        }
    }
    N = (int)S.size();
    vector<int> ord(N);
    std::iota(ord.begin(), ord.end(), 0);
    std::sort(ord.begin(), ord.end(), [&](const int i, const int j) {
        return S[i] + T[i] < S[j] + T[j];
    });
    vector<ll> pref(N + 1), suff(N + 1);
    slope_trick slope; 
    for (int i = 0; i < N; ++i) {
        const int k = ord[i];
        slope.add(S[k]);
        slope.add(T[k]);
        pref[i + 1] = slope.minimum();
    }
    slope = slope_trick();
    for (int i = N - 1; i >= 0; --i) {
        const int k = ord[i];
        slope.add(S[k]);
        slope.add(T[k]);
        suff[i] = slope.minimum();
    }
    if (K == 1) {
        std::cout << must + pref[N] << '\n';
    } else {
        ll min = inf<ll>;
        for (int i = 0; i <= N; ++i) {
            min = std::min(min, pref[i] + suff[i]);
        }
        std::cout << must + min << '\n';
    }
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 340 KB Output is correct

Subtask #2
14.0 / 14.0

# 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 1 ms 316 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 392 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 324 KB Output is correct
12 Correct 41 ms 6688 KB Output is correct
13 Correct 102 ms 8328 KB Output is correct
14 Correct 80 ms 6748 KB Output is correct
15 Correct 57 ms 5184 KB Output is correct
16 Correct 47 ms 7600 KB Output is correct
17 Correct 71 ms 8232 KB Output is correct
18 Correct 81 ms 7848 KB Output is correct
19 Correct 78 ms 8344 KB Output is correct
20 Correct 47 ms 7804 KB Output is correct
21 Correct 74 ms 7980 KB Output is correct

Subtask #3
9.0 / 9.0

# 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 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 316 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 320 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 316 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 340 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 1 ms 320 KB Output is correct
17 Correct 1 ms 316 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 328 KB Output is correct
25 Correct 36 ms 7296 KB Output is correct
26 Correct 76 ms 6908 KB Output is correct
27 Correct 109 ms 8032 KB Output is correct
28 Correct 107 ms 8236 KB Output is correct
29 Correct 104 ms 8724 KB Output is correct
30 Correct 55 ms 4284 KB Output is correct
31 Correct 46 ms 7624 KB Output is correct
32 Correct 75 ms 8268 KB Output is correct
33 Correct 76 ms 7968 KB Output is correct
34 Correct 81 ms 8224 KB Output is correct
35 Correct 47 ms 7832 KB Output is correct
36 Correct 76 ms 8076 KB Output is correct
37 Correct 26 ms 6672 KB Output is correct