제출 #1266011

#제출 시각아이디문제언어결과실행 시간메모리
1266011rayan_bdK개의 묶음 (IZhO14_blocks)C++20
0 / 100
0 ms468 KiB
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int INF = 5e18;
signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(nullptr); cout.tie(nullptr);

    int N, K;
    cin >> N >> K;
    vector<int> a(N + 1, 0);

    vector<vector<int>> dp(N + 1, vector<int> (K + 1, INF));
    for(int i = 1; i <= N; ++i) cin >> a[i];

    for(int i = 0; i <= N; ++i) dp[i][0] = 0;

    // 6 1 2 3 4 5, K = 3

    for(int i = 1, mx = 1; i <= N; ++i){
        mx = max(mx, a[i]);
        dp[i][1] = mx;
    }

    for(int k = 2; k <= K; ++k){
        stack<int> st;
        vector<int> mn(N + 1, INF);
        for(int i = 1; i <= N; ++i){
            while(st.size() && a[st.top()] <= a[i]){
                dp[i][k] = min(dp[i][k], dp[st.top() - 1][k - 1] + a[i]);
                mn[i] = min(dp[st.top()][k - 1], mn[st.top()]);
                dp[i][k] = min(dp[i][k], mn[i] + a[i]);
                st.pop();
            }
            if(st.size()){
                dp[i][k] =  min(dp[i][k], dp[st.top()][k]); // extend
                dp[i][k] = min(dp[i][k], dp[st.top()][k - 1] + a[i]); // from st.top() + 1, to i
                dp[i][k] = min(dp[i][k], dp[st.top() - 1][k - 1] + a[st.top()]);
                dp[i][k] = min(dp[i][k], mn[st.top()] + a[i]);
            }
            dp[i][k] = min(dp[i][k], dp[i - 1][k - 1] + a[i]);
            st.push(i);
        }
    }


    cout << dp[N][K] << "\n";

    return 0;
}
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