oj.uz

Submission #746288

# Submission time Handle Problem Language Result Execution time Memory
746288 2023-05-22T07:56:52 Z baluteshih Chorus (JOI23_chorus) C++14
61 / 100
 110 ms 2452 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define X first
#define Y second
#define SZ(a) ((int)a.size())
#define ALL(v) v.begin(), v.end()
#define pb push_back

int lft[1000005], lst[1000005];
ll prv[1000005];
pll dp[1000005];

pll operator+(const pll &a, const ll &b) { return pll(a.X + b, a.Y + 1); }

int main() {
    ios::sync_with_stdio(0), cin.tie(0);
    int n, k;
    string s;
    cin >> n >> k >> s;

    int cntA = 0, cntB = 0;
    for (int i = 0; i < n + n; ++i) {
        if (s[i] == 'B') ++cntB;
        else lft[++cntA] = cntB;
    }
    for (int i = 1; i <= n; ++i)
        prv[i] = prv[i - 1] + lft[i];
    for (int i = 0; i <= n; ++i)
        lst[lft[i]] = i;
    for (int i = 1; i <= n; ++i)
        lst[i] = max(lst[i], lst[i - 1]);
    for (int i = 0; i <= n; ++i)
        lst[i] = max(i, lst[i]);

    auto line = [&](int q) {
        return pll(-q, dp[q].X - prv[lst[q]] + q * lst[q]);  
    };

    auto challenge = [&](int x, int y, int z) {
        auto [ax, bx] = line(x);
        auto [ay, by] = line(y);
        auto [az, bz] = line(z);
        return (by - bx) * (ax - az) >= (bz - bx) * (ax - ay);
    };

    auto get_val = [&](int q, int j) {
        auto [a, b] = line(q);
        return pll(a * j + b, dp[q].Y);
    };

    const ll INF = 2e12;
    auto cal = [&](ll mid) {
        fill(dp, dp + n + 1, pll(INF, INF));
        dp[0] = pll(0, 0);
        deque<int> dq;
        for (int j = 1, p = 0; j <= n; ++j) {
            while (lst[p] <= j && p < j) {
                while (SZ(dq) >= 2 && challenge(dq[SZ(dq) - 2], dq.back(), p))
                    dq.pop_back();
                dq.pb(p);
                ++p;
            }
            if (p < j) 
                dp[j] = min(dp[j], dp[p] + mid);
            while (SZ(dq) >= 2 && get_val(dq[0], j) >= get_val(dq[1], j))
                dq.pop_front();
            if (!dq.empty())
                dp[j] = min(dp[j], get_val(dq[0], j) + (mid + prv[j]));
        }
        return dp[n];
    };

    ll l = 0, r = (ll)n * n;
    while (l < r) {
        ll mid = (l + r) >> 1;
        if (cal(mid).Y <= k) r = mid;
        else l = mid + 1;
    }

    cout << cal(l).X - k * l << "\n";
}

Compilation message

chorus.cpp: In lambda function:
chorus.cpp:43:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   43 |         auto [ax, bx] = line(x);
      |              ^
chorus.cpp:44:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   44 |         auto [ay, by] = line(y);
      |              ^
chorus.cpp:45:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   45 |         auto [az, bz] = line(z);
      |              ^
chorus.cpp: In lambda function:
chorus.cpp:50:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   50 |         auto [a, b] = line(q);
      |              ^

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 240 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 340 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 340 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 240 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 340 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 340 KB Output is correct
29 Correct 6 ms 536 KB Output is correct
30 Correct 7 ms 468 KB Output is correct
31 Correct 7 ms 468 KB Output is correct
32 Correct 4 ms 468 KB Output is correct
33 Correct 5 ms 468 KB Output is correct
34 Correct 5 ms 468 KB Output is correct
35 Correct 5 ms 468 KB Output is correct
36 Correct 8 ms 468 KB Output is correct
37 Correct 8 ms 480 KB Output is correct
38 Correct 5 ms 468 KB Output is correct
39 Correct 6 ms 532 KB Output is correct
40 Correct 4 ms 468 KB Output is correct
41 Correct 4 ms 468 KB Output is correct
42 Correct 5 ms 468 KB Output is correct

Subtask #4
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 240 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 340 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 340 KB Output is correct
29 Correct 6 ms 536 KB Output is correct
30 Correct 7 ms 468 KB Output is correct
31 Correct 7 ms 468 KB Output is correct
32 Correct 4 ms 468 KB Output is correct
33 Correct 5 ms 468 KB Output is correct
34 Correct 5 ms 468 KB Output is correct
35 Correct 5 ms 468 KB Output is correct
36 Correct 8 ms 468 KB Output is correct
37 Correct 8 ms 480 KB Output is correct
38 Correct 5 ms 468 KB Output is correct
39 Correct 6 ms 532 KB Output is correct
40 Correct 4 ms 468 KB Output is correct
41 Correct 4 ms 468 KB Output is correct
42 Correct 5 ms 468 KB Output is correct
43 Incorrect 110 ms 2452 KB Output isn't correct
44 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 240 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 340 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 340 KB Output is correct
29 Correct 6 ms 536 KB Output is correct
30 Correct 7 ms 468 KB Output is correct
31 Correct 7 ms 468 KB Output is correct
32 Correct 4 ms 468 KB Output is correct
33 Correct 5 ms 468 KB Output is correct
34 Correct 5 ms 468 KB Output is correct
35 Correct 5 ms 468 KB Output is correct
36 Correct 8 ms 468 KB Output is correct
37 Correct 8 ms 480 KB Output is correct
38 Correct 5 ms 468 KB Output is correct
39 Correct 6 ms 532 KB Output is correct
40 Correct 4 ms 468 KB Output is correct
41 Correct 4 ms 468 KB Output is correct
42 Correct 5 ms 468 KB Output is correct
43 Incorrect 110 ms 2452 KB Output isn't correct
44 Halted 0 ms 0 KB -