Submission #1034625

#TimeUsernameProblemLanguageResultExecution timeMemory
1034625TrinhKhanhDungK개의 묶음 (IZhO14_blocks)C++14
100 / 100
126 ms44856 KiB
#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define sz(x) (int)x.size()
#define ALL(v) v.begin(),v.end()
#define MASK(k) (1LL << (k))
#define BIT(x, i) (((x) >> (i)) & 1)
#define oo (ll)1e18
#define INF (ll)1e9
#define MOD (ll)(1e9 + 7)

using namespace std;

template<class T1, class T2>
    bool maximize(T1 &a, T2 b){if(a < b){a = b; return true;} return false;}

template<class T1, class T2>
    bool minimize(T1 &a, T2 b){if(a > b){a = b; return true;} return false;}

template<class T1, class T2>
    void add(T1 &a, T2 b){a += b; if(a >= MOD) a -= MOD;}

template<class T1, class T2>
    void sub(T1 &a, T2 b){a -= b; if(a < 0) a += MOD;}

template<class T>
    void cps(T &v){sort(ALL(v)); v.resize(unique(ALL(v)) - v.begin());}

const int N = 1e5 + 10, K = 1e2 + 10;

int n, k;
int a[N];

void input(){
    cin >> n >> k;
    for(int i=1; i<=n; i++){
        cin >> a[i];
    }
}

namespace subtask3{
    ll f[K][K];

    void solve(){
        memset(f, 0x3f, sizeof f);
        f[0][0] = 0;
        for(int i=0; i<k; i++) for(int j=0; j<n; j++) if(f[i][j] < oo){
            int ma = 0;
            for(int p=j+1; p<=n; p++){
                maximize(ma, a[p]);
                minimize(f[i + 1][p], f[i][j] + ma);
            }
        }

        cout << f[k][n] << '\n';
    }
}

namespace subtask4{
    int f[K][N];

    void solve(){
        memset(f, 0x3f, sizeof f);
        f[1][1] = a[1];
        for(int i=2; i<=n; i++){
            f[1][i] = max(f[1][i - 1], a[i]);
//            cout << f[1][i] <<  ' ';
        }
//        cout << '\n';

        a[0] = INF;
        for(int i=2; i<=k; i++){
            stack<pair<int, int>> st;

            for(int j=1; j<=n; j++){
                int num = f[i - 1][j - 1];
                while(!st.empty() && a[st.top().fi] <= a[j]){
                    minimize(num, st.top().se);
                    st.pop();
                }
                if(st.empty() || a[j] + num < a[st.top().fi] + st.top().se) st.push(make_pair(j, num));
                if(j >= i){
                    f[i][j] = a[st.top().fi] + st.top().se;
                }
//                cout << f[i][j] << ' ';
            }
//            cout << '\n';
        }

        cout << f[k][n] << '\n';
    }
}

signed main(){
    ios_base::sync_with_stdio(0); cin.tie(0);
   // freopen("task.inp", "r", stdin);
   // freopen("task.out", "w", stdout);

    input();
    return subtask4::solve(), 0;

    return 0;
}
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