답안 #1090899

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1090899 2024-09-19T05:43:58 Z eltu0815 Chorus (JOI23_chorus) C++14
87 / 100
6473 ms 35828 KB
#include <bits/stdc++.h>
#define MAX 1000005
#define MOD (ll)(1048573)
#define INF (ll)(1e11)
#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;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 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 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 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
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 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 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 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 344 KB Output is correct
18 Correct 2 ms 344 KB Output is correct
19 Correct 2 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 2 ms 392 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 2 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 2 ms 344 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 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 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 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 344 KB Output is correct
18 Correct 2 ms 344 KB Output is correct
19 Correct 2 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 2 ms 392 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 2 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 2 ms 344 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 17 ms 604 KB Output is correct
30 Correct 24 ms 680 KB Output is correct
31 Correct 20 ms 604 KB Output is correct
32 Correct 15 ms 604 KB Output is correct
33 Correct 15 ms 604 KB Output is correct
34 Correct 16 ms 600 KB Output is correct
35 Correct 16 ms 696 KB Output is correct
36 Correct 21 ms 856 KB Output is correct
37 Correct 19 ms 600 KB Output is correct
38 Correct 17 ms 600 KB Output is correct
39 Correct 18 ms 604 KB Output is correct
40 Correct 18 ms 688 KB Output is correct
41 Correct 18 ms 600 KB Output is correct
42 Correct 14 ms 604 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 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 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 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 344 KB Output is correct
18 Correct 2 ms 344 KB Output is correct
19 Correct 2 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 2 ms 392 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 2 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 2 ms 344 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 17 ms 604 KB Output is correct
30 Correct 24 ms 680 KB Output is correct
31 Correct 20 ms 604 KB Output is correct
32 Correct 15 ms 604 KB Output is correct
33 Correct 15 ms 604 KB Output is correct
34 Correct 16 ms 600 KB Output is correct
35 Correct 16 ms 696 KB Output is correct
36 Correct 21 ms 856 KB Output is correct
37 Correct 19 ms 600 KB Output is correct
38 Correct 17 ms 600 KB Output is correct
39 Correct 18 ms 604 KB Output is correct
40 Correct 18 ms 688 KB Output is correct
41 Correct 18 ms 600 KB Output is correct
42 Correct 14 ms 604 KB Output is correct
43 Correct 322 ms 2384 KB Output is correct
44 Correct 522 ms 3808 KB Output is correct
45 Correct 525 ms 4064 KB Output is correct
46 Correct 384 ms 3556 KB Output is correct
47 Correct 425 ms 3560 KB Output is correct
48 Correct 379 ms 4092 KB Output is correct
49 Correct 392 ms 4088 KB Output is correct
50 Correct 560 ms 3804 KB Output is correct
51 Correct 539 ms 3832 KB Output is correct
52 Correct 386 ms 4572 KB Output is correct
53 Correct 380 ms 4100 KB Output is correct
54 Correct 499 ms 3832 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 344 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 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 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 344 KB Output is correct
18 Correct 2 ms 344 KB Output is correct
19 Correct 2 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 2 ms 392 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 2 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 2 ms 344 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 17 ms 604 KB Output is correct
30 Correct 24 ms 680 KB Output is correct
31 Correct 20 ms 604 KB Output is correct
32 Correct 15 ms 604 KB Output is correct
33 Correct 15 ms 604 KB Output is correct
34 Correct 16 ms 600 KB Output is correct
35 Correct 16 ms 696 KB Output is correct
36 Correct 21 ms 856 KB Output is correct
37 Correct 19 ms 600 KB Output is correct
38 Correct 17 ms 600 KB Output is correct
39 Correct 18 ms 604 KB Output is correct
40 Correct 18 ms 688 KB Output is correct
41 Correct 18 ms 600 KB Output is correct
42 Correct 14 ms 604 KB Output is correct
43 Correct 322 ms 2384 KB Output is correct
44 Correct 522 ms 3808 KB Output is correct
45 Correct 525 ms 4064 KB Output is correct
46 Correct 384 ms 3556 KB Output is correct
47 Correct 425 ms 3560 KB Output is correct
48 Correct 379 ms 4092 KB Output is correct
49 Correct 392 ms 4088 KB Output is correct
50 Correct 560 ms 3804 KB Output is correct
51 Correct 539 ms 3832 KB Output is correct
52 Correct 386 ms 4572 KB Output is correct
53 Correct 380 ms 4100 KB Output is correct
54 Correct 499 ms 3832 KB Output is correct
55 Correct 4035 ms 22044 KB Output is correct
56 Correct 5596 ms 35828 KB Output is correct
57 Correct 6473 ms 33776 KB Output is correct
58 Incorrect 6237 ms 32248 KB Output isn't correct
59 Halted 0 ms 0 KB -