Submission #767431

#	Time	Username	Problem	Language	Result	Execution time	Memory
767431		PurpleCrayon	Chorus (JOI23_chorus)	C++17	40 / 100	7066 ms	468 KiB

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;

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

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

struct CHT {
    vector<pair<int, int>> lines;

    void add(int m, int b) {
        lines.emplace_back(m, b);
    }

    int qry(int x) {
        int ans = MOD;
        for (auto [m, b] : lines) ans = min(ans, m * x + b);
        return ans;
    }
};

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 / 16
• Subtask 2: 24 / 24
• Subtask 3: 0 / 21
• Subtask 4: 0 / 26
• Subtask 5: 0 / 13