답안 #767486

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
767486	2023-06-26T19:38:39 Z	PurpleCrayon	Chorus (JOI23_chorus)	C++17	16 / 100	4 ms	448 KB

chorus

#include <bits/stdc++.h>
using namespace std;

#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int N = 5e3+10, MOD = 1e9+7;

int n, K, small[N];
int ps[N], l_use[N];
vector<int> one, two;

// min CHT with
//  - slopes decreasing
//  - query x increasing


struct Line {
    int m, b;
    int calc(int x) {
        return m * x + b;
    }
};

struct CHT {
    deque<Line> lines;

    void add(int m, int b) {
        while (sz(lines) >= 2) {
            auto A = lines.end()[-2];
            auto B = lines.end()[-1];
            if ((b - A.b) * (A.m - m) <= (B.b - A.b) * (A.m - B.m)) lines.pop_back();
            else break;
        }
        lines.push_back({m, b});
    }

    int qry(int x) {
        while (sz(lines) >= 2 && lines[0].calc(x) >= lines[1].calc(x)) {
            lines.pop_front();
        }

        return lines[0].calc(x);
    }
};

void solve() {
    cin >> n >> K;
    for (int i = 0; i < 2 * n; i++) {
        char c; cin >> c;
        if (c == 'A') one.push_back(i);
        else two.push_back(i);
    }

    for (int i = 0; i < n; i++) {
        small[i] = lower_bound(two.begin(), two.end(), one[i]) - two.begin();
    }

    for (int i = 0; i < n; i++) {
        ps[i] = small[i] + (i ? ps[i-1] : 0);
        l_use[i] = -(i ? ps[i-1] : 0);
        for (int j = i; j < n; j++) {
            if (small[j] < i) {
                l_use[i] -= small[j] - i;
            }
        }
    }

    vector<int> prv(n, MOD);
    for (int k = 1; k <= K; k++) {
        vector<int> nxt(n, MOD);

        CHT lines;
        for (int i = 0; i < n; i++) {
            lines.add(-i, i * i - i + l_use[i] + (i == 0 ? 0 : prv[i-1]));
            nxt[i] = lines.qry(i) + ps[i];

            int l = small[i];
            if (l <= i) {
                nxt[i] = min(nxt[i], (l == 0 ? 0 : prv[l-1]));
            }
        }
        swap(prv, nxt);
    }

    cout << prv[n-1] << '\n';
}

int main() {
    ios::sync_with_stdio(false); cin.tie(0);
    int T = 1;
    // cin >> T;
    while (T--) solve();
}

Subtask #1
16.0 / 16.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	328 KB	Output is correct
3	Correct	1 ms	328 KB	Output is correct
4	Correct	1 ms	324 KB	Output is correct
5	Correct	0 ms	324 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	320 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	1 ms	324 KB	Output is correct

Subtask #2
0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	328 KB	Output is correct
3	Correct	1 ms	328 KB	Output is correct
4	Correct	1 ms	324 KB	Output is correct
5	Correct	0 ms	324 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	320 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	1 ms	324 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	324 KB	Output is correct
19	Correct	3 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	4 ms	448 KB	Output is correct
23	Correct	4 ms	340 KB	Output is correct
24	Incorrect	1 ms	340 KB	Output isn't correct
25	Halted	0 ms	0 KB	-

Subtask #3
0 / 21.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	328 KB	Output is correct
3	Correct	1 ms	328 KB	Output is correct
4	Correct	1 ms	324 KB	Output is correct
5	Correct	0 ms	324 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	320 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	1 ms	324 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	324 KB	Output is correct
19	Correct	3 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	4 ms	448 KB	Output is correct
23	Correct	4 ms	340 KB	Output is correct
24	Incorrect	1 ms	340 KB	Output isn't correct
25	Halted	0 ms	0 KB	-

Subtask #4
0 / 26.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	328 KB	Output is correct
3	Correct	1 ms	328 KB	Output is correct
4	Correct	1 ms	324 KB	Output is correct
5	Correct	0 ms	324 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	320 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	1 ms	324 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	324 KB	Output is correct
19	Correct	3 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	4 ms	448 KB	Output is correct
23	Correct	4 ms	340 KB	Output is correct
24	Incorrect	1 ms	340 KB	Output isn't correct
25	Halted	0 ms	0 KB	-

Subtask #5
0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	328 KB	Output is correct
3	Correct	1 ms	328 KB	Output is correct
4	Correct	1 ms	324 KB	Output is correct
5	Correct	0 ms	324 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	320 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	0 ms	212 KB	Output is correct
13	Correct	0 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	212 KB	Output is correct
16	Correct	1 ms	324 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	324 KB	Output is correct
19	Correct	3 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	4 ms	448 KB	Output is correct
23	Correct	4 ms	340 KB	Output is correct
24	Incorrect	1 ms	340 KB	Output isn't correct
25	Halted	0 ms	0 KB	-

답안 #767486

Compilation message

Subtask #1 16.0 / 16.0

Subtask #2 0 / 24.0

Subtask #3 0 / 21.0

Subtask #4 0 / 26.0

Subtask #5 0 / 13.0

Subtask #1
16.0 / 16.0

Subtask #2
0 / 24.0

Subtask #3
0 / 21.0

Subtask #4
0 / 26.0

Subtask #5
0 / 13.0