oj.uz

Submission #798946

# Submission time Handle Problem Language Result Execution time Memory
798946 2023-07-31T07:54:07 Z finn__ Chorus (JOI23_chorus) C++17
61 / 100
 821 ms 1216 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 = 5001;
     
    int64_t p[N], b[N], f[N], u[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')
                b[j++] = i;
            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 dp = [&](int64_t const lambda)
        {
            fill(f + 1, f + N, INT64_MAX);
            for (int64_t i = 1; i <= n; ++i)
                for (int64_t j = 0; j < i; ++j)
                    if (f[j] != INT64_MAX)
                    {
                        int64_t j__ = j_[j + 1],
                                val = f[j] + p[i] - p[j__ - 1] - (i - j__ + 1) * (j + 1) + lambda;
                        if (val < f[i])
                            f[i] = val, u[i] = u[j] + 1;
                    }
            return make_pair(f[n], u[n]);
        };
     
        int64_t a = 0, b = 1LL << 42;
        while (a < b)
        {
            int64_t lambda = (a + b) / 2;
            auto [val, used] = dp(lambda);
            if (used > k)
                a = lambda + 1;
            else
                b = lambda;
        }
     
        auto val = dp(a).first;
        cout << val - (int64_t)k * a << '\n';
    }

Compilation message

chorus.cpp: In lambda function:
chorus.cpp:45:35: warning: comparison of integer expressions of different signedness: 'int64_t' {aka 'long int'} and 'size_t' {aka 'long unsigned int'} [-Wsign-compare]
   45 |             for (int64_t i = 1; i <= n; ++i)
      |                                 ~~^~~~
chorus.cpp: In function 'int main()':
chorus.cpp:62:22: warning: comparison of integer expressions of different signedness: 'std::tuple_element<1, std::pair<long int, long int> >::type' {aka 'long int'} and 'size_t' {aka 'long unsigned int'} [-Wsign-compare]
   62 |             if (used > k)
      |                 ~~~~~^~~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 328 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 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 340 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

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 328 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 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 340 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 3 ms 340 KB Output is correct
18 Correct 9 ms 340 KB Output is correct
19 Correct 12 ms 340 KB Output is correct
20 Correct 7 ms 324 KB Output is correct
21 Correct 7 ms 340 KB Output is correct
22 Correct 8 ms 340 KB Output is correct
23 Correct 12 ms 340 KB Output is correct
24 Correct 7 ms 340 KB Output is correct
25 Correct 12 ms 400 KB Output is correct
26 Correct 8 ms 340 KB Output is correct
27 Correct 12 ms 396 KB Output is correct
28 Correct 8 ms 340 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 328 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 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 340 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 3 ms 340 KB Output is correct
18 Correct 9 ms 340 KB Output is correct
19 Correct 12 ms 340 KB Output is correct
20 Correct 7 ms 324 KB Output is correct
21 Correct 7 ms 340 KB Output is correct
22 Correct 8 ms 340 KB Output is correct
23 Correct 12 ms 340 KB Output is correct
24 Correct 7 ms 340 KB Output is correct
25 Correct 12 ms 400 KB Output is correct
26 Correct 8 ms 340 KB Output is correct
27 Correct 12 ms 396 KB Output is correct
28 Correct 8 ms 340 KB Output is correct
29 Correct 694 ms 528 KB Output is correct
30 Correct 735 ms 532 KB Output is correct
31 Correct 732 ms 532 KB Output is correct
32 Correct 634 ms 544 KB Output is correct
33 Correct 641 ms 536 KB Output is correct
34 Correct 729 ms 528 KB Output is correct
35 Correct 821 ms 532 KB Output is correct
36 Correct 714 ms 536 KB Output is correct
37 Correct 747 ms 528 KB Output is correct
38 Correct 765 ms 532 KB Output is correct
39 Correct 712 ms 536 KB Output is correct
40 Correct 713 ms 544 KB Output is correct
41 Correct 736 ms 588 KB Output is correct
42 Correct 713 ms 544 KB Output is correct

Subtask #4
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 328 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 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 340 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 3 ms 340 KB Output is correct
18 Correct 9 ms 340 KB Output is correct
19 Correct 12 ms 340 KB Output is correct
20 Correct 7 ms 324 KB Output is correct
21 Correct 7 ms 340 KB Output is correct
22 Correct 8 ms 340 KB Output is correct
23 Correct 12 ms 340 KB Output is correct
24 Correct 7 ms 340 KB Output is correct
25 Correct 12 ms 400 KB Output is correct
26 Correct 8 ms 340 KB Output is correct
27 Correct 12 ms 396 KB Output is correct
28 Correct 8 ms 340 KB Output is correct
29 Correct 694 ms 528 KB Output is correct
30 Correct 735 ms 532 KB Output is correct
31 Correct 732 ms 532 KB Output is correct
32 Correct 634 ms 544 KB Output is correct
33 Correct 641 ms 536 KB Output is correct
34 Correct 729 ms 528 KB Output is correct
35 Correct 821 ms 532 KB Output is correct
36 Correct 714 ms 536 KB Output is correct
37 Correct 747 ms 528 KB Output is correct
38 Correct 765 ms 532 KB Output is correct
39 Correct 712 ms 536 KB Output is correct
40 Correct 713 ms 544 KB Output is correct
41 Correct 736 ms 588 KB Output is correct
42 Correct 713 ms 544 KB Output is correct
43 Runtime error 2 ms 1216 KB Execution killed with signal 11
44 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 328 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 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 340 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 3 ms 340 KB Output is correct
18 Correct 9 ms 340 KB Output is correct
19 Correct 12 ms 340 KB Output is correct
20 Correct 7 ms 324 KB Output is correct
21 Correct 7 ms 340 KB Output is correct
22 Correct 8 ms 340 KB Output is correct
23 Correct 12 ms 340 KB Output is correct
24 Correct 7 ms 340 KB Output is correct
25 Correct 12 ms 400 KB Output is correct
26 Correct 8 ms 340 KB Output is correct
27 Correct 12 ms 396 KB Output is correct
28 Correct 8 ms 340 KB Output is correct
29 Correct 694 ms 528 KB Output is correct
30 Correct 735 ms 532 KB Output is correct
31 Correct 732 ms 532 KB Output is correct
32 Correct 634 ms 544 KB Output is correct
33 Correct 641 ms 536 KB Output is correct
34 Correct 729 ms 528 KB Output is correct
35 Correct 821 ms 532 KB Output is correct
36 Correct 714 ms 536 KB Output is correct
37 Correct 747 ms 528 KB Output is correct
38 Correct 765 ms 532 KB Output is correct
39 Correct 712 ms 536 KB Output is correct
40 Correct 713 ms 544 KB Output is correct
41 Correct 736 ms 588 KB Output is correct
42 Correct 713 ms 544 KB Output is correct
43 Runtime error 2 ms 1216 KB Execution killed with signal 11
44 Halted 0 ms 0 KB -