oj.uz

Submission #1090878

# Submission time Handle Problem Language Result Execution time Memory
1090878 2024-09-19T01:58:27 Z eltu0815 Chorus (JOI23_chorus) C++14
0 / 100
 0 ms 348 KB 
#include <bits/stdc++.h>
#define MAX 300005
#define MOD (ll)(1048573)
#define INF (ll)(1e12)
#define inf (int)(1e9)
#define eps (double)(1e-8)
 
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
 
int tt, N, K;
string str;

ll cnt[MAX], sum[MAX], pos[MAX];
ll dp[MAX], can[MAX], q[MAX], k[MAX]; // can is coordinates of cross, q is i of lines, and k is set of nums of subsequences, for f(i, k).

ll cost(ll i, ll j) {
    return max(sum[j] - sum[pos[i - 1] - 1] - (j - pos[i - 1] + 1) * (i - 1), 0ll);
}

ll func(ll i, ll j) {
    return dp[i] + cost(i + 1, j);
}

ll cross(ll i, ll j) {
    ll lo = j, hi = N + 1;
    while(lo + 1 < hi) {
        ll mid = (lo + hi)/2;
        if(func(i, mid) <= func(j, mid)) lo = mid;
        else hi = mid;
    }
    
    return lo; 
}

void monotoneQueue(ll lambda) {
    ll str = 0, ed = 1;
    q[0] = 0; can[0] = N;
    for(ll i = 1; i <= N; ++i) {
        while(can[str] < i) ++str;
        dp[i] = func(q[str], i) + lambda; k[i] = k[q[str]] + 1;
        
        while(str + 1 < ed && can[ed - 2] >= cross(q[ed - 1], i)) --ed;
        can[ed - 1] = cross(q[ed - 1], i); q[ed] = i; can[ed] = N;
        ++ed;
    }

    return;
}

ll alienTrick() {
    ll lo = 0, hi = INF;
    while(lo + 1 < hi) {
        ll mid = (lo + hi)/2;
        monotoneQueue(mid);
        if(k[N] >= K) lo = mid;
        else hi = mid;
    }
    
    return lo;
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(NULL);
    
    cin >> N >> K >> str;
    for(int i = 0, tmp = 0, p = 0; i < 2 * N; ++i) {
        if(str[i] == 'A') cnt[++p] = tmp;
        else ++tmp;
    }
    
    for(int i = 0, j = 1; i <= N; ++i) {
        while(j <= N && cnt[j] < i) ++j;
        pos[i] = max(i + 1, j);
    }
    
    for(int i = 1; i <= N; ++i) sum[i] = sum[i - 1] + cnt[i];
    
    ll lambdaOpt = alienTrick();
	monotoneQueue(lambdaOpt);
	cout << dp[N] - K * lambdaOpt;
	
    return 0;
}

Subtask #1
0 / 16.0

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

Subtask #2
0 / 24.0

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

Subtask #3
0 / 21.0

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

Subtask #4
0 / 26.0

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

Subtask #5
0 / 13.0

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