| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 | 
|---|---|---|---|---|---|---|---|
| 1124229 | pndhpndh | Holding (COCI20_holding) | C++20 | 42 ms | 52040 KiB | 
#include<bits/stdc++.h>
#define int long long
#define pb push_back
#define task "task"
using namespace std;
const int inf = 1e18;
const int mx = 2e5 + 5;
int n, l , r, k;
int dpl[105][105][2505], dpr[105][105][2505];
int a[mx];
int pref[mx];
void read(){
    cin >> n >> l >> r >> k;
    for (int i = 1; i <= n; i++){
        cin >> a[i];
        pref[i] = pref[i - 1] + a[i];
    }
    k = min(k, n * n / 4);
}
void solve(){
//    for (int i = l; i <= r; i++){
//        for (int j = 0; j < l; j++){
//            for (int c = 0; c <= 100; c++){
//                dpl[i][j][c] = inf;
//            }
//        }
//    }
    for (int i = l; i <= r; i++){
        for (int c = 0; c <= k; c++){
            dpl[i][0][c] = pref[i] - pref[l - 1];
        }
        for (int j = 1; j < l; j++){
            for (int c = 0; c <= k; c++){
                int cost = abs(i - j);
                dpl[i][j][c] = min(dpl[i - 1][j][c] + a[i], dpl[i][j - 1][c]);
                if (c >= cost){
                    dpl[i][j][c] = min(dpl[i][j][c], dpl[i - 1][j - 1][c - cost] + a[j]);
                }
//                cout << i << " " << j << " " << c << " " << dpl[i][j][c] << " " << dpl[i][j - 1][c] << " " << dpl[i - 1][j - 1][c - cost] << '\n';
            }
        }
    }
//    for (int i = r; i >= l; i--){
//        for (int j = n + 1; j > r; j--){
//            for (int c = 0; c <= 100; c++){
//                dpr[i][j][c] = inf;
//            }
//        }
//    }
    for (int i = r; i >= l; i--){
        for (int c = 0; c <= k; c++){
            dpr[i][n + 1][c] = pref[r] - pref[i - 1];
        }
        for (int j = n; j > r; j--){
            for (int c = 0; c <= k; c++){
                int cost = abs(i - j);
                dpr[i][j][c] = min(dpr[i + 1][j][c] + a[i], dpr[i][j + 1][c]);
//                cout << i << " " << j << " " << c << " " << dpr[i][j][c] << '\n';
                if (c >= cost){
                    dpr[i][j][c] = min(dpr[i][j][c], dpr[i + 1][j + 1][c - cost] + a[j]);
                }
            }
        }
    }
    int ans = min(dpl[r][l - 1][k], dpr[l][r + 1][k]);
    for (int pos = l; pos < r; pos++){
        for (int cl = 0; cl <= k; cl++){
                ans = min(ans, dpl[pos][l - 1][cl] + dpr[pos + 1][r + 1][k - cl]);
//                cout << pos << " " << l - 1 << " " << r + 1 << " " << cl << " " << cr << " " << dpl[pos][l - 1][cl] << " " << dpr[pos + 1][r + 1][cr] << '\n';
        }
    }
    cout << ans;
}
signed main(){
    cin.tie(0)->sync_with_stdio(0);
    if(fopen(task".inp", "r")){
        freopen(task".inp", "r", stdin);
        freopen(task".out", "w", stdout);
    }
    read();
    solve();
}
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