oj.uz

Submission #1090897

# Submission time Handle Problem Language Result Execution time Memory
1090897 2024-09-19T05:43:12 Z eltu0815 Chorus (JOI23_chorus) C++14
87 / 100
 6035 ms 36060 KB 
#include <bits/stdc++.h>
#define MAX 1000005
#define MOD (ll)(1048573)
#define INF (ll)(1e10)
#define inf (int)(1e9)
#define eps (double)(1e-8)
 
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
 
int tt, N, K;
string str;

int cnt[MAX], pos[MAX], can[MAX], q[MAX], k[MAX];
ll dp[MAX], sum[MAX];

ll cost(int i, int j) {
    return max(sum[j] - sum[pos[i - 1] - 1] - (ll)(j - pos[i - 1] + 1) * (i - 1), 0ll);
}

ll func(int i, int j) {
    return dp[i] + cost(i + 1, j);
}

int cross(int i, int j) {
    int lo = j , hi = N + 1;
    while(lo + 1 < hi) {
        int mid = (lo + hi) >> 1;
        if(func(i, mid) <= func(j, mid)) lo = mid;
        else hi = mid;
    }
    return lo; 
}

void monotoneQueue(ll lambda) {
    int str = 0, ed = 1;
    q[0] = 0; can[0] = N;
    for(int i = 1; i <= N; ++i) {
        while(can[str] < i) ++str;
        dp[i] = func(q[str], i) + lambda; k[i] = k[q[str]] + 1;
        
        while(str + 1 < ed && can[ed - 2] >= cross(q[ed - 1], i)) --ed;
        can[ed - 1] = cross(q[ed - 1], i); q[ed] = i; can[ed] = N;
        ++ed;
    }

    return;
}

ll alienTrick() {
    ll lo = -1, hi = INF;
    ll ans = 0;
    while(lo + 1 < hi) {
        ll mid = (lo + hi) >> 1;
        monotoneQueue(mid);
        
        ans = max(ans, dp[N] - mid * K);
        
        if(k[N] >= K) lo = mid;
        else hi = mid;
    }
    
    return ans;
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(NULL);
    
    cin >> N >> K >> str;
    for(int i = 0, tmp = 0, p = 0; i < 2 * N; ++i) {
        if(str[i] == 'A') cnt[++p] = tmp;
        else ++tmp;
    }
    
    for(int i = 0, j = 1; i <= N; ++i) {
        while(j <= N && cnt[j] < i) ++j;
        pos[i] = max(i + 1, j);
    }
    
    for(int i = 1; i <= N; ++i) sum[i] = sum[i - 1] + cnt[i];
    
    cout << alienTrick();
    return 0;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 2 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 2 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 16 ms 600 KB Output is correct
30 Correct 19 ms 604 KB Output is correct
31 Correct 19 ms 604 KB Output is correct
32 Correct 14 ms 604 KB Output is correct
33 Correct 15 ms 604 KB Output is correct
34 Correct 14 ms 604 KB Output is correct
35 Correct 14 ms 668 KB Output is correct
36 Correct 20 ms 680 KB Output is correct
37 Correct 17 ms 604 KB Output is correct
38 Correct 19 ms 604 KB Output is correct
39 Correct 17 ms 700 KB Output is correct
40 Correct 16 ms 604 KB Output is correct
41 Correct 17 ms 680 KB Output is correct
42 Correct 13 ms 604 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 2 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 16 ms 600 KB Output is correct
30 Correct 19 ms 604 KB Output is correct
31 Correct 19 ms 604 KB Output is correct
32 Correct 14 ms 604 KB Output is correct
33 Correct 15 ms 604 KB Output is correct
34 Correct 14 ms 604 KB Output is correct
35 Correct 14 ms 668 KB Output is correct
36 Correct 20 ms 680 KB Output is correct
37 Correct 17 ms 604 KB Output is correct
38 Correct 19 ms 604 KB Output is correct
39 Correct 17 ms 700 KB Output is correct
40 Correct 16 ms 604 KB Output is correct
41 Correct 17 ms 680 KB Output is correct
42 Correct 13 ms 604 KB Output is correct
43 Correct 284 ms 2516 KB Output is correct
44 Correct 492 ms 3804 KB Output is correct
45 Correct 490 ms 3808 KB Output is correct
46 Correct 381 ms 3560 KB Output is correct
47 Correct 343 ms 3560 KB Output is correct
48 Correct 344 ms 4320 KB Output is correct
49 Correct 367 ms 4324 KB Output is correct
50 Correct 525 ms 3816 KB Output is correct
51 Correct 491 ms 3828 KB Output is correct
52 Correct 356 ms 4328 KB Output is correct
53 Correct 343 ms 4092 KB Output is correct
54 Correct 476 ms 3900 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 2 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 16 ms 600 KB Output is correct
30 Correct 19 ms 604 KB Output is correct
31 Correct 19 ms 604 KB Output is correct
32 Correct 14 ms 604 KB Output is correct
33 Correct 15 ms 604 KB Output is correct
34 Correct 14 ms 604 KB Output is correct
35 Correct 14 ms 668 KB Output is correct
36 Correct 20 ms 680 KB Output is correct
37 Correct 17 ms 604 KB Output is correct
38 Correct 19 ms 604 KB Output is correct
39 Correct 17 ms 700 KB Output is correct
40 Correct 16 ms 604 KB Output is correct
41 Correct 17 ms 680 KB Output is correct
42 Correct 13 ms 604 KB Output is correct
43 Correct 284 ms 2516 KB Output is correct
44 Correct 492 ms 3804 KB Output is correct
45 Correct 490 ms 3808 KB Output is correct
46 Correct 381 ms 3560 KB Output is correct
47 Correct 343 ms 3560 KB Output is correct
48 Correct 344 ms 4320 KB Output is correct
49 Correct 367 ms 4324 KB Output is correct
50 Correct 525 ms 3816 KB Output is correct
51 Correct 491 ms 3828 KB Output is correct
52 Correct 356 ms 4328 KB Output is correct
53 Correct 343 ms 4092 KB Output is correct
54 Correct 476 ms 3900 KB Output is correct
55 Correct 3759 ms 22092 KB Output is correct
56 Correct 5144 ms 36060 KB Output is correct
57 Correct 6018 ms 33688 KB Output is correct
58 Incorrect 6035 ms 35060 KB Output isn't correct
59 Halted 0 ms 0 KB -