oj.uz

Submission #798992

# Submission time Handle Problem Language Result Execution time Memory
798992 2023-07-31T08:30:25 Z finn__ Chorus (JOI23_chorus) C++17
100 / 100
 1368 ms 32044 KB 
#include <bits/stdc++.h>
using namespace std;

struct linear_fn
{
    int64_t m, t;
    linear_fn(int64_t m, int64_t t) { this->m = m, this->t = t; }
    int64_t operator()(int64_t x) { return m * x + t; }
    bool intersects_earlier(linear_fn const &f, linear_fn const &g)
    {
        return (__int128_t)(f.t - t) * (m - g.m) < (__int128_t)(m - f.m) * (g.t - t);
    }
};

constexpr size_t N = 1000001;

int64_t p[N], j_[N];

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

    size_t n, k;
    string s;
    cin >> n >> k >> s;

    for (size_t i = 1, j = 1, l = 1; i <= n << 1; ++i)
    {
        if (s[i - 1] == 'B')
            j++;
        else
            p[l++] = j;
    }

    for (size_t i = 1; i <= n; ++i)
        j_[i] = max<int64_t>(i, lower_bound(p + 1, p + n + 1, i) - p);

    for (size_t i = 1; i <= n; ++i)
        p[i] += p[i - 1];

    auto cht = [&](int64_t const lambda)
    {
        deque<pair<linear_fn, size_t>> q;
        q.emplace_back(linear_fn(0, -p[j_[1] - 1] + j_[1]), 0);

        for (int64_t i = 1; i <= n; ++i)
        {
            while (q.size() >= 2 && q[0].first(i) >= q[1].first(i))
                q.pop_front();
            int64_t v = q[0].first(i) + p[i] - i - 1 + lambda;
            size_t u = q[0].second + 1;
            if (i == n)
                return make_pair(v, u);
            int64_t const j__ = j_[i + 1];
            linear_fn f(-i, v - p[j__ - 1] + j__ * i + j__ - i);
            while (q.size() >= 2 && q[q.size() - 2].first.intersects_earlier(f, q.back().first))
                q.pop_back();
            q.emplace_back(f, u);
        }
    };

    int64_t a = 0, b = 1LL << 51;
    while (a < b)
    {
        int64_t lambda = (a + b + 1) / 2;
        auto [val, used] = cht(lambda);
        if (used < k)
            b = lambda - 1;
        else
            a = lambda;
    }

    int64_t val = cht(a).first;
    cout << val - (int64_t)k * a << '\n';
}

Compilation message

chorus.cpp: In lambda function:
chorus.cpp:47:31: warning: comparison of integer expressions of different signedness: 'int64_t' {aka 'long int'} and 'size_t' {aka 'long unsigned int'} [-Wsign-compare]
   47 |         for (int64_t i = 1; i <= n; ++i)
      |                             ~~^~~~
chorus.cpp:53:19: warning: comparison of integer expressions of different signedness: 'int64_t' {aka 'long int'} and 'size_t' {aka 'long unsigned int'} [-Wsign-compare]
   53 |             if (i == n)
      |                 ~~^~~~
chorus.cpp:61:5: warning: control reaches end of non-void function [-Wreturn-type]
   61 |     };
      |     ^

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 0 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 332 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 212 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 0 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 332 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 324 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 328 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 328 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 328 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 0 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 332 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 324 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 328 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 328 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 328 KB Output is correct
29 Correct 5 ms 460 KB Output is correct
30 Correct 6 ms 464 KB Output is correct
31 Correct 6 ms 464 KB Output is correct
32 Correct 4 ms 340 KB Output is correct
33 Correct 4 ms 468 KB Output is correct
34 Correct 4 ms 468 KB Output is correct
35 Correct 4 ms 468 KB Output is correct
36 Correct 5 ms 468 KB Output is correct
37 Correct 6 ms 468 KB Output is correct
38 Correct 4 ms 468 KB Output is correct
39 Correct 6 ms 464 KB Output is correct
40 Correct 4 ms 468 KB Output is correct
41 Correct 5 ms 492 KB Output is correct
42 Correct 4 ms 468 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 0 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 332 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 324 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 328 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 328 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 328 KB Output is correct
29 Correct 5 ms 460 KB Output is correct
30 Correct 6 ms 464 KB Output is correct
31 Correct 6 ms 464 KB Output is correct
32 Correct 4 ms 340 KB Output is correct
33 Correct 4 ms 468 KB Output is correct
34 Correct 4 ms 468 KB Output is correct
35 Correct 4 ms 468 KB Output is correct
36 Correct 5 ms 468 KB Output is correct
37 Correct 6 ms 468 KB Output is correct
38 Correct 4 ms 468 KB Output is correct
39 Correct 6 ms 464 KB Output is correct
40 Correct 4 ms 468 KB Output is correct
41 Correct 5 ms 492 KB Output is correct
42 Correct 4 ms 468 KB Output is correct
43 Correct 69 ms 2088 KB Output is correct
44 Correct 118 ms 3324 KB Output is correct
45 Correct 129 ms 3300 KB Output is correct
46 Correct 66 ms 2400 KB Output is correct
47 Correct 72 ms 3480 KB Output is correct
48 Correct 83 ms 3344 KB Output is correct
49 Correct 83 ms 3336 KB Output is correct
50 Correct 121 ms 3356 KB Output is correct
51 Correct 120 ms 3324 KB Output is correct
52 Correct 90 ms 3340 KB Output is correct
53 Correct 87 ms 3352 KB Output is correct
54 Correct 123 ms 3348 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 ms 212 KB Output is correct
6 Correct 0 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 332 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 324 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 328 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 328 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 328 KB Output is correct
29 Correct 5 ms 460 KB Output is correct
30 Correct 6 ms 464 KB Output is correct
31 Correct 6 ms 464 KB Output is correct
32 Correct 4 ms 340 KB Output is correct
33 Correct 4 ms 468 KB Output is correct
34 Correct 4 ms 468 KB Output is correct
35 Correct 4 ms 468 KB Output is correct
36 Correct 5 ms 468 KB Output is correct
37 Correct 6 ms 468 KB Output is correct
38 Correct 4 ms 468 KB Output is correct
39 Correct 6 ms 464 KB Output is correct
40 Correct 4 ms 468 KB Output is correct
41 Correct 5 ms 492 KB Output is correct
42 Correct 4 ms 468 KB Output is correct
43 Correct 69 ms 2088 KB Output is correct
44 Correct 118 ms 3324 KB Output is correct
45 Correct 129 ms 3300 KB Output is correct
46 Correct 66 ms 2400 KB Output is correct
47 Correct 72 ms 3480 KB Output is correct
48 Correct 83 ms 3344 KB Output is correct
49 Correct 83 ms 3336 KB Output is correct
50 Correct 121 ms 3356 KB Output is correct
51 Correct 120 ms 3324 KB Output is correct
52 Correct 90 ms 3340 KB Output is correct
53 Correct 87 ms 3352 KB Output is correct
54 Correct 123 ms 3348 KB Output is correct
55 Correct 849 ms 19508 KB Output is correct
56 Correct 1124 ms 31428 KB Output is correct
57 Correct 1327 ms 31500 KB Output is correct
58 Correct 676 ms 19948 KB Output is correct
59 Correct 786 ms 32044 KB Output is correct
60 Correct 887 ms 31340 KB Output is correct
61 Correct 955 ms 31424 KB Output is correct
62 Correct 1305 ms 31424 KB Output is correct
63 Correct 1368 ms 31428 KB Output is correct
64 Correct 937 ms 31368 KB Output is correct
65 Correct 914 ms 31296 KB Output is correct
66 Correct 1309 ms 31412 KB Output is correct
67 Correct 915 ms 31428 KB Output is correct