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답안 #788565

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
788565 2023-07-20T11:05:14 Z someone Chorus (JOI23_chorus) C++14
100 / 100
 2757 ms 92916 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;

const int N = 1e6 + 42, INF = 1e12 + 42;

vector<int> pre, upd[N];
deque<int> imin, a, b, c;
int n, k, cumul[N], fi[N], dp[N], nbT[N];

int evalCHT(int x) {
    while((int)a.size() >= 2 && (a[0] * x + b[0] > a[1] * x + b[1] || (a[0] * x + b[0] == a[1] * x + b[1] && c[0] >= c[1]))) {
        a.pop_front();
        b.pop_front();
        c.pop_front();
    }
    return a[0] * x + b[0];
}

void pushCHT(int A, int B, int C) {
    int sz = (int)a.size();
    while(sz >= 2 && (B - b[sz-1]) * (a[sz-2] - a[sz-1]) <= (b[sz-1] - b[sz-2]) * (a[sz-1] - A)) {
        sz--;
        a.pop_back();
        b.pop_back();
        c.pop_back();
    }
    a.push_back(A);
    b.push_back(B);
    c.push_back(C);
}

void add(int i) {
    if(fi[i] == i)  {
        pushCHT(-i, dp[i] + i * fi[i] - cumul[fi[i]], nbT[i]);
        return;
    }
    upd[fi[i]].push_back(i);
    while(!imin.empty() && (dp[imin.back()] > dp[i] || (dp[imin.back()] == dp[i] && nbT[imin.back()] > nbT[i])))
        imin.pop_back();
    imin.push_back(i);
}

pair<int, int> solve(int lambda) {
    a.clear();
    b.clear();
    c.clear();
    imin.clear();
    for(int i = 0; i < N; i++)
        upd[i].clear();

    add(0);
    for(int i = 1; i <= n; i++) {
        for(int j : upd[i]) {
            pushCHT(-j, dp[j] + j * fi[j] - cumul[fi[j]], nbT[j]);
            if(!imin.empty() && imin[0] == j)
                imin.pop_front();
        }
        dp[i] = evalCHT(i) + cumul[i];
        nbT[i] = c[0];
        if(!imin.empty())
            if(dp[imin[0]] < dp[i] || (dp[imin[0]] == dp[i] && nbT[imin[0]] < dp[i]))
                nbT[i] = nbT[imin[0]];
        nbT[i]++;
        dp[i] += lambda;
        add(i);
    }
    return {dp[n], nbT[n]};
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);

    int x = 0;
    cin >> n >> k;
    for(int i = 0; i < N; i++)
        fi[i] = N-1;
    pre.clear();
    int nbA = 0;
    for(int i = 0; i < 2*n; i++) {
        char ch; cin >> ch;
        if(ch == 'A') {
            nbA++;
            if(fi[x] == N-1)
                fi[x] = (int)pre.size();
            pre.push_back(x);
        } else {
            x++;
        }
    }
    for(int i = n-1; i > -1; i--)
        if(fi[i] == N-1)
            fi[i] = fi[i+1];
    for(int i = 0; i <= n; i++)
        fi[i] = max(fi[i], i);

    for(int i = 1; i <= n; i++)
        cumul[i] = cumul[i-1] + pre[i-1];

    int deb = 0, fin = INF;
    while(fin - deb > 1) {
        int mid = ((deb + fin) >> 1);
        auto pii = solve(mid-1);
        if(pii.second <= k)
            fin = mid;
        else
            deb = mid;
    }
    cout << solve(deb).first - k * deb << '\n';
}

Subtask #1
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 116 ms 31636 KB Output is correct
2 Correct 113 ms 31636 KB Output is correct
3 Correct 114 ms 31640 KB Output is correct
4 Correct 118 ms 31636 KB Output is correct
5 Correct 121 ms 31632 KB Output is correct
6 Correct 131 ms 31640 KB Output is correct
7 Correct 113 ms 31640 KB Output is correct
8 Correct 116 ms 31640 KB Output is correct
9 Correct 108 ms 31572 KB Output is correct
10 Correct 110 ms 31628 KB Output is correct
11 Correct 111 ms 31636 KB Output is correct
12 Correct 127 ms 31572 KB Output is correct
13 Correct 124 ms 31584 KB Output is correct
14 Correct 107 ms 31648 KB Output is correct
15 Correct 111 ms 31652 KB Output is correct
16 Correct 119 ms 31648 KB Output is correct

Subtask #2
24.0 / 24.0

# 결과 실행 시간 메모리 Grader output
1 Correct 116 ms 31636 KB Output is correct
2 Correct 113 ms 31636 KB Output is correct
3 Correct 114 ms 31640 KB Output is correct
4 Correct 118 ms 31636 KB Output is correct
5 Correct 121 ms 31632 KB Output is correct
6 Correct 131 ms 31640 KB Output is correct
7 Correct 113 ms 31640 KB Output is correct
8 Correct 116 ms 31640 KB Output is correct
9 Correct 108 ms 31572 KB Output is correct
10 Correct 110 ms 31628 KB Output is correct
11 Correct 111 ms 31636 KB Output is correct
12 Correct 127 ms 31572 KB Output is correct
13 Correct 124 ms 31584 KB Output is correct
14 Correct 107 ms 31648 KB Output is correct
15 Correct 111 ms 31652 KB Output is correct
16 Correct 119 ms 31648 KB Output is correct
17 Correct 110 ms 31572 KB Output is correct
18 Correct 108 ms 31572 KB Output is correct
19 Correct 108 ms 31572 KB Output is correct
20 Correct 111 ms 31636 KB Output is correct
21 Correct 120 ms 31656 KB Output is correct
22 Correct 113 ms 31656 KB Output is correct
23 Correct 109 ms 31652 KB Output is correct
24 Correct 116 ms 31572 KB Output is correct
25 Correct 108 ms 31572 KB Output is correct
26 Correct 120 ms 31880 KB Output is correct
27 Correct 115 ms 31660 KB Output is correct
28 Correct 118 ms 31656 KB Output is correct

Subtask #3
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 116 ms 31636 KB Output is correct
2 Correct 113 ms 31636 KB Output is correct
3 Correct 114 ms 31640 KB Output is correct
4 Correct 118 ms 31636 KB Output is correct
5 Correct 121 ms 31632 KB Output is correct
6 Correct 131 ms 31640 KB Output is correct
7 Correct 113 ms 31640 KB Output is correct
8 Correct 116 ms 31640 KB Output is correct
9 Correct 108 ms 31572 KB Output is correct
10 Correct 110 ms 31628 KB Output is correct
11 Correct 111 ms 31636 KB Output is correct
12 Correct 127 ms 31572 KB Output is correct
13 Correct 124 ms 31584 KB Output is correct
14 Correct 107 ms 31648 KB Output is correct
15 Correct 111 ms 31652 KB Output is correct
16 Correct 119 ms 31648 KB Output is correct
17 Correct 110 ms 31572 KB Output is correct
18 Correct 108 ms 31572 KB Output is correct
19 Correct 108 ms 31572 KB Output is correct
20 Correct 111 ms 31636 KB Output is correct
21 Correct 120 ms 31656 KB Output is correct
22 Correct 113 ms 31656 KB Output is correct
23 Correct 109 ms 31652 KB Output is correct
24 Correct 116 ms 31572 KB Output is correct
25 Correct 108 ms 31572 KB Output is correct
26 Correct 120 ms 31880 KB Output is correct
27 Correct 115 ms 31660 KB Output is correct
28 Correct 118 ms 31656 KB Output is correct
29 Correct 118 ms 31860 KB Output is correct
30 Correct 129 ms 31932 KB Output is correct
31 Correct 121 ms 31936 KB Output is correct
32 Correct 119 ms 31860 KB Output is correct
33 Correct 118 ms 31828 KB Output is correct
34 Correct 116 ms 31828 KB Output is correct
35 Correct 122 ms 31860 KB Output is correct
36 Correct 124 ms 31820 KB Output is correct
37 Correct 120 ms 31924 KB Output is correct
38 Correct 125 ms 31864 KB Output is correct
39 Correct 126 ms 31948 KB Output is correct
40 Correct 119 ms 31788 KB Output is correct
41 Correct 118 ms 31796 KB Output is correct
42 Correct 126 ms 31828 KB Output is correct

Subtask #4
26.0 / 26.0

# 결과 실행 시간 메모리 Grader output
1 Correct 116 ms 31636 KB Output is correct
2 Correct 113 ms 31636 KB Output is correct
3 Correct 114 ms 31640 KB Output is correct
4 Correct 118 ms 31636 KB Output is correct
5 Correct 121 ms 31632 KB Output is correct
6 Correct 131 ms 31640 KB Output is correct
7 Correct 113 ms 31640 KB Output is correct
8 Correct 116 ms 31640 KB Output is correct
9 Correct 108 ms 31572 KB Output is correct
10 Correct 110 ms 31628 KB Output is correct
11 Correct 111 ms 31636 KB Output is correct
12 Correct 127 ms 31572 KB Output is correct
13 Correct 124 ms 31584 KB Output is correct
14 Correct 107 ms 31648 KB Output is correct
15 Correct 111 ms 31652 KB Output is correct
16 Correct 119 ms 31648 KB Output is correct
17 Correct 110 ms 31572 KB Output is correct
18 Correct 108 ms 31572 KB Output is correct
19 Correct 108 ms 31572 KB Output is correct
20 Correct 111 ms 31636 KB Output is correct
21 Correct 120 ms 31656 KB Output is correct
22 Correct 113 ms 31656 KB Output is correct
23 Correct 109 ms 31652 KB Output is correct
24 Correct 116 ms 31572 KB Output is correct
25 Correct 108 ms 31572 KB Output is correct
26 Correct 120 ms 31880 KB Output is correct
27 Correct 115 ms 31660 KB Output is correct
28 Correct 118 ms 31656 KB Output is correct
29 Correct 118 ms 31860 KB Output is correct
30 Correct 129 ms 31932 KB Output is correct
31 Correct 121 ms 31936 KB Output is correct
32 Correct 119 ms 31860 KB Output is correct
33 Correct 118 ms 31828 KB Output is correct
34 Correct 116 ms 31828 KB Output is correct
35 Correct 122 ms 31860 KB Output is correct
36 Correct 124 ms 31820 KB Output is correct
37 Correct 120 ms 31924 KB Output is correct
38 Correct 125 ms 31864 KB Output is correct
39 Correct 126 ms 31948 KB Output is correct
40 Correct 119 ms 31788 KB Output is correct
41 Correct 118 ms 31796 KB Output is correct
42 Correct 126 ms 31828 KB Output is correct
43 Correct 232 ms 35256 KB Output is correct
44 Correct 367 ms 37568 KB Output is correct
45 Correct 334 ms 37592 KB Output is correct
46 Correct 226 ms 36160 KB Output is correct
47 Correct 237 ms 35972 KB Output is correct
48 Correct 249 ms 35964 KB Output is correct
49 Correct 284 ms 36036 KB Output is correct
50 Correct 356 ms 37640 KB Output is correct
51 Correct 357 ms 37580 KB Output is correct
52 Correct 241 ms 36012 KB Output is correct
53 Correct 245 ms 36084 KB Output is correct
54 Correct 389 ms 37464 KB Output is correct

Subtask #5
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 116 ms 31636 KB Output is correct
2 Correct 113 ms 31636 KB Output is correct
3 Correct 114 ms 31640 KB Output is correct
4 Correct 118 ms 31636 KB Output is correct
5 Correct 121 ms 31632 KB Output is correct
6 Correct 131 ms 31640 KB Output is correct
7 Correct 113 ms 31640 KB Output is correct
8 Correct 116 ms 31640 KB Output is correct
9 Correct 108 ms 31572 KB Output is correct
10 Correct 110 ms 31628 KB Output is correct
11 Correct 111 ms 31636 KB Output is correct
12 Correct 127 ms 31572 KB Output is correct
13 Correct 124 ms 31584 KB Output is correct
14 Correct 107 ms 31648 KB Output is correct
15 Correct 111 ms 31652 KB Output is correct
16 Correct 119 ms 31648 KB Output is correct
17 Correct 110 ms 31572 KB Output is correct
18 Correct 108 ms 31572 KB Output is correct
19 Correct 108 ms 31572 KB Output is correct
20 Correct 111 ms 31636 KB Output is correct
21 Correct 120 ms 31656 KB Output is correct
22 Correct 113 ms 31656 KB Output is correct
23 Correct 109 ms 31652 KB Output is correct
24 Correct 116 ms 31572 KB Output is correct
25 Correct 108 ms 31572 KB Output is correct
26 Correct 120 ms 31880 KB Output is correct
27 Correct 115 ms 31660 KB Output is correct
28 Correct 118 ms 31656 KB Output is correct
29 Correct 118 ms 31860 KB Output is correct
30 Correct 129 ms 31932 KB Output is correct
31 Correct 121 ms 31936 KB Output is correct
32 Correct 119 ms 31860 KB Output is correct
33 Correct 118 ms 31828 KB Output is correct
34 Correct 116 ms 31828 KB Output is correct
35 Correct 122 ms 31860 KB Output is correct
36 Correct 124 ms 31820 KB Output is correct
37 Correct 120 ms 31924 KB Output is correct
38 Correct 125 ms 31864 KB Output is correct
39 Correct 126 ms 31948 KB Output is correct
40 Correct 119 ms 31788 KB Output is correct
41 Correct 118 ms 31796 KB Output is correct
42 Correct 126 ms 31828 KB Output is correct
43 Correct 232 ms 35256 KB Output is correct
44 Correct 367 ms 37568 KB Output is correct
45 Correct 334 ms 37592 KB Output is correct
46 Correct 226 ms 36160 KB Output is correct
47 Correct 237 ms 35972 KB Output is correct
48 Correct 249 ms 35964 KB Output is correct
49 Correct 284 ms 36036 KB Output is correct
50 Correct 356 ms 37640 KB Output is correct
51 Correct 357 ms 37580 KB Output is correct
52 Correct 241 ms 36012 KB Output is correct
53 Correct 245 ms 36084 KB Output is correct
54 Correct 389 ms 37464 KB Output is correct
55 Correct 1609 ms 70620 KB Output is correct
56 Correct 1975 ms 83176 KB Output is correct
57 Correct 2437 ms 92840 KB Output is correct
58 Correct 1348 ms 77320 KB Output is correct
59 Correct 1540 ms 77308 KB Output is correct
60 Correct 1544 ms 77364 KB Output is correct
61 Correct 1510 ms 77344 KB Output is correct
62 Correct 2757 ms 92804 KB Output is correct
63 Correct 2678 ms 92916 KB Output is correct
64 Correct 1610 ms 77368 KB Output is correct
65 Correct 1525 ms 77220 KB Output is correct
66 Correct 2634 ms 91876 KB Output is correct
67 Correct 1564 ms 77340 KB Output is correct