#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define pb push_back
#define ff first
#define ss second
const ll inf = 1e18;
struct ST{
vector<ll> t;
int n;
ST(int ns){
n = ns;
t.resize(4 * n);
}
void upd(int v, int tl, int tr, int p, ll x){
if (tl == tr){
t[v] = x;
return;
}
int tm = (tl + tr) / 2, vv = 2 * v;
if (p <= tm){
upd(vv, tl, tm, p, x);
}
else {
upd(vv + 1, tm + 1, tr, p, x);
}
t[v] = min(t[vv], t[vv + 1]);
}
void upd(int p, ll x){
upd(1, 1, n, p, x);
}
ll get(int v, int tl, int tr, int l, int r){
if (l > tr || r < tl) return inf;
if (l <= tl && tr <= r) return t[v];
int tm = (tl + tr) / 2, vv = 2 * v;
return min(get(vv, tl, tm, l, r), get(vv + 1, tm + 1, tr, l, r));
}
ll get(int l, int r){
if (l > r) return inf;
return get(1, 1, n, l, r);
}
};
ll delivery(int n, int k, int L, int X[]){
vector<int> x(n + 1);
for (int i = 1; i <= n; i++) x[i] = X[i - 1];
sort(x.begin() + 1, x.end());
vector<ll> dp(n + 1, inf); dp[0] = 0;
ST T(n);
for (int i = 1; i <= n; i++){
int l = max(1, i - k + 1);
dp[i] = min({dp[l - 1] + L, dp[l - 1] + 2 * x[i], T.get(max(1, l - 1), i - 1)});
if (i != n){
T.upd(i, dp[i] + 2 * (L - x[i + 1]));
}
}
return dp[n];
}
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