Submission #767418

# Submission time Handle Problem Language Result Execution time Memory
767418 2023-06-26T18:19:20 Z PurpleCrayon Chorus (JOI23_chorus) C++17
16 / 100
63 ms 2900 KB
#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;
int dp[N][N];

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 x : one) cerr << x << ' '; cerr << endl;
    // for (int x : two) cerr << x << ' '; cerr << endl;

    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;
            }
        }
    }

    // -l * (r - l + 1) + ps_small[r] - other_ps_small[l-1]
    // other_ps_small[l-1] = (small[r] < l ?
    // for (int i = 0; i < n; i++) cerr << small[i] << ' ';
    // cerr << endl;

    /*
    for (int l = 0; l < n; l++) {
        int cur = 0;
        for (int r = l; r < n; r++) {
            cur += max(small[r] - l, 0);
            cost[l][r] = cur;

            cerr << l << ' ' << r << ' ' << cost[l][r] << ' ' << (ps[r] + l_use[l]) - l * (r - l + 1) << '\n';
        }
    }
    */

    auto COST = [&](int l, int r) {
        return ps[r] + l_use[l] - l * (r - l + 1);
    };

    for (int i = 0; i < n; i++) for (int j = 0; j <= K; j++) dp[i][j] = MOD;

    for (int i = 0; i < n; i++) {
        for (int l = i; l >= 0; l--) {
            for (int k = 1; k <= K; k++) {
                int prv = MOD;
                if (l == 0) prv = (k == 1 ? 0 : MOD);
                else prv = dp[l-1][k-1];

                dp[i][k] = min(dp[i][k], COST(l, i) + prv);
            }
        }
    }

    cout << dp[n-1][K] << '\n';
}

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

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 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 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 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 0 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
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 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 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 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 0 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 2 ms 1108 KB Output is correct
18 Correct 16 ms 2552 KB Output is correct
19 Incorrect 63 ms 2900 KB Output isn't correct
20 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 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 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 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 0 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 2 ms 1108 KB Output is correct
18 Correct 16 ms 2552 KB Output is correct
19 Incorrect 63 ms 2900 KB Output isn't correct
20 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 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 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 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 0 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 2 ms 1108 KB Output is correct
18 Correct 16 ms 2552 KB Output is correct
19 Incorrect 63 ms 2900 KB Output isn't correct
20 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 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 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 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 0 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 2 ms 1108 KB Output is correct
18 Correct 16 ms 2552 KB Output is correct
19 Incorrect 63 ms 2900 KB Output isn't correct
20 Halted 0 ms 0 KB -