This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
#define fi first
#define se second
#define mp make_pair
#define fastIO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
const int N = 105;
const int S = N * (N + 1);
const int M = S/2;
const int inf = (int)1e9;
int dp[2][N][S]; // pick i items, indice sum j
int st[N][S];
int ri[N][S];
int a[N];
void upd(int &a, int b){
a = min(a, b);
}
int main(){
fastIO;
int n, l, r, k;
cin >> n >> l >> r >> k;
for(int i = 0 ; i <= n; i ++ ){
for(int j = 0 ; j < S; j ++ ){
dp[0][i][j] = dp[1][i][j] = inf;
}
}
dp[0][0][M]=0;
int ans = 0;
for(int i = 1; i <= n; i ++ ){
cin >> a[i];
if(i >= l && i <= r) ans += a[i];
}
for(int i = 1; i <= r; i ++ ){
for(int j = 0 ; j <= n ; j ++ ){
for(int x = 0; x < S ; x ++ ){
if(i < l){
if(dp[0][j][x] == inf) continue;
upd(dp[1][j + 1][x - i], dp[0][j][x] + a[i]);
upd(dp[1][j][x], dp[0][j][x]);
}
else{
if(dp[0][j][x] == inf) continue;
if(j) upd(dp[1][j - 1][x + i], dp[0][j][x]);
upd(dp[1][j][x], dp[0][j][x] + a[i]);
}
}
}
for(int j = 0 ; j <= n ; j ++ ){
for(int x = 0; x < S; x ++ ){
dp[0][j][x]=dp[1][j][x];
dp[1][j][x]=inf;
}
}
for(int x = 0; x < S; x ++ ){
st[i][x]=dp[0][0][x];
}
}
for(int i = 0 ; i <= n; i ++ ){
for(int j = 0 ; j < S; j ++ ){
dp[0][i][j] = dp[1][i][j] = inf;
}
}
dp[0][0][M]=0;
for(int i = n; i >= l ; i -- ){
for(int j = 0 ; j <= n; j ++ ){
for(int x = 0; x < S; x ++ ){
if(dp[0][j][x] == inf) continue;
if(i > r){
upd(dp[1][j + 1][x + i], dp[0][j][x] + a[i]);
upd(dp[1][j][x], dp[0][j][x]);
}
else{
if(j) upd(dp[1][j - 1][x - i], dp[0][j][x]);
upd(dp[1][j][x], dp[0][j][x] + a[i]);
}
}
}
for(int j = 0 ; j <= n ; j ++ ){
for(int x = 0; x < S; x ++ ){
dp[0][j][x]=dp[1][j][x];
dp[1][j][x]=inf;
}
}
for(int x = 0 ;x < S; x ++ ){
ri[i][x]=dp[0][0][x];
if(x)
upd(ri[i][x],ri[i][x-1]);
}
}
for(int x = 0 ; x <= k ; x ++ ){
upd(ans, st[r][x + M]);
upd(ans, ri[l][x + M]);
}
for(int i = l; i + 1 <= r; i ++ ){
for(int x = 0; x <= k ; x ++ ){
upd(ans, st[i][x + M] + ri[i + 1][k - x + M]);
}
}
cout << ans << "\n";
return 0;
}
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