# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
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();
}
Compilation message (stderr)
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