제출 #1227057

#제출 시각아이디문제언어결과실행 시간메모리
1227057chaeryeongChorus (JOI23_chorus)C++20
61 / 100
828 ms98480 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; const int inf = 1e9; int n, k, dp[5002][5002], t[5002], P[5002]; vector <int> ii[2]; string s; int choose (int x) { return x * (x - 1) / 2; } void recurse (int l1, int r1, int l2, int r2, int j) { if (l1 > r1) { return; } int i = (l1 + r1) / 2; dp[i][j] = inf; int opt = -1; for (int p = min(r2, t[i]); p >= l2; p--) { if (dp[i][j] > dp[p - 1][j - 1] + ii[0][i] * (t[i] - p) - choose(t[i] - p) - (P[t[i] - 1] - P[p - 1])) { dp[i][j] = dp[p - 1][j - 1] + ii[0][i] * (t[i] - p) - choose(t[i] - p) - (P[t[i] - 1] - P[p - 1]); opt = p; } } recurse(l1, i - 1, l2, opt, j); recurse(i + 1, r1, opt, r2, j); } void solve () { cin >> n >> k >> s; int bad = 0; int cur = 0; for (int i = 0; i < 2 * n; i++) { if (s[i] == 'B') { cur--; } else { cur++; } if (cur < 0) { int j = i; while (s[j] != 'A') { j++; } bad += j - i; swap(s[i], s[j]); i--; cur++; } } ii[0].push_back(0); ii[1].push_back(0); for (int i = 0; i < 2 * n; i++) { ii[s[i] - 'A'].push_back(i + 1); } for (int i = 1; i <= n; i++) { P[i] = P[i - 1] + ii[1][i]; } for (int i = 1; i <= n; i++) { dp[i][0] = inf; } for (int j = 1; j <= k; j++) { int l = 1; for (int i = 1; i <= n; i++) { dp[i][j] = inf; while (ii[1][l] < ii[0][i]) { l++; } t[i] = l; } recurse(1, n, 1, n, j); } cout << bad + dp[n][k] << '\n'; } signed main () { ios::sync_with_stdio(0); cin.tie(0); int tc = 1; //cin >> tc; while (tc--) solve(); }
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