oj.uz

Submission #1094348

# Submission time Handle Problem Language Result Execution time Memory
1094348 2024-09-29T11:13:22 Z _8_8_ Chorus (JOI23_chorus) C++17
0 / 100
 1 ms 348 KB 
#include <bits/stdc++.h>
    
using namespace std;
    
typedef long long ll;
const int  N = 5e3 + 12, MOD = (int)1e9 + 7;

int n, k, x[N], y[N], pref[2 * N], col[N], opt[N], s[N];
ll dp[N], c[N][N];
void prec() {
    for(int i = 1; i <= n; i++) {
        for(int j = i; j >= 1; j--) {
            c[j][i] = c[j + 1][i];
            if(y[j] <= x[i]) {
                c[j][i] += pref[x[i]] - pref[y[j] - 1];;
            }
        }
    }
    for(int i = 1; i < n; i++) {
        for(int j = 1; j < n; j++) {
            assert(c[i][j + 1] + c[i + 1][j] >= c[i][j] + c[i + 1][j + 1]);
        }
    }
}
pair<ll, ll> calc_slow(ll pen) {
    for(int i = 1; i <= n; i++) {
        dp[i] = 1e18;
        col[i] = n + 1;
        for(int j = i; j >= 1; j--) {   
            if(pref[y[j]] > pref[x[i]] ) continue;
            ll cost = pref[x[i]] * 1ll * (i - j + 1) - s[x[i]] + s[y[j] - 1];
            if(dp[j - 1] + cost + pen <= dp[i]) {
                dp[i] = dp[j - 1] + c[j][i] + pen;
                col[i] = col[j - 1] + 1;
                opt[i] = j;
            }
        }
    }
    return {dp[n], col[n]};
}
// pair<ll, ll> calc(ll pen) {
//     for(int i = 1; i <= n; i++) {

//     }
// }
void test() {
    cin >> n >> k;
    int _x = 0, _y = 0;
    for(int i = 1; i <= n + n; i++) {
        char a;
        cin >> a;
        pref[i] = pref[i - 1];
        if(a == 'A') {
            x[++_x] = i;
            pref[i]++;
        } else { 
            y[++_y] = i;
        }
    }
    for(int i = 1; i <= n; i++) {
        s[i] = s[i - 1] + pref[y[i]];
    }
    prec();
    ll l = -1, r = 1e12, res;
    while(r - l > 1) { 
        ll mid = (l + r) / 2;
        auto [val, t] = calc_slow(mid);
        if(t <= k) {
            r = mid;
            res = val - k * 1ll * mid;
        } else {
            l = mid;
        }
    }
    cout << res << '\n';
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0); 
    
    int t = 1; 
    // cin >> t;
    
    while(t--) 
        test();
    return 0;
}

Subtask #1
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Incorrect 1 ms 348 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #2
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Incorrect 1 ms 348 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #3
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Incorrect 1 ms 348 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Incorrect 1 ms 348 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Incorrect 1 ms 348 KB Output isn't correct
3 Halted 0 ms 0 KB -