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;
#define ll long long
#define db double
#define pairll pair<ll,ll>
#define lpairll pair<ll,pairll>
#define repp(i,a,b) for (ll i = a; i <= b; i++)
#define repz(i,a,b) for (ll i = a; i < b; i++)
#define repm(i,a,b) for (ll i = a; i >= b; i--)
#define fr first
#define sc second
#define mp make_pair
#define pb push_back
const ll N = 2e5+5, MOD = 1e9+7;
ll tc = 1, n, m, ar[N], br[N], dp[2][N];
string s, s1, s2, ye = "YA", no = "TIDAK";
void input(){
cin >> n >> m;
repp(i,1,n) cin >> ar[i];
}
void subm0(){
sort(ar+1,ar+n+1);
repp(i,1,n){
br[i] = br[i-1]+ar[i];
}
ll ans = 1e18;
repp(i,1,n){
ll tt;
tt = ar[i]*i-br[i];
tt += br[n]-br[i]-(n-i)*ar[i];
//cout << i << " " << tt << endl;
ans = min(ans,tt);
}
cout << ans << endl;
exit(0);
}
void solve(){
if (m == 0){
subm0();
}
ll lm = 5000;
repp(i,0,lm){
dp[n%2][i] = abs(i-ar[n]);
}
m = min(lm,m);
repm(i,n-1,1){
ll cur = (i)%2, pre = (i+1)%2;
deque<ll> dq;
repp(j,0,m){
while(dq.size() && dp[pre][j] < dp[pre][dq.back()]){
dq.pop_back();
}
dq.push_back(j);
}
repp(j,0,lm){
ll btl = max(0LL,j-m), btr = j+m;
while(dq.size() && dq.front() < btl) dq.pop_front();
if (btr <= lm){
while(dq.size() && dp[pre][btr] < dp[pre][dq.back()]){
dq.pop_back();
}
dq.push_back(btr);
}
dp[cur][j] = dp[pre][dq.front()]+abs(ar[i]-j);
}
}
ll ans = 1e18;
repp(i,0,lm){
ans = min(ans,dp[1][i]);
}
cout << ans << endl;
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(NULL);
cout.tie(NULL);
//cin >> tc;
while(tc--){
input();
solve();
}
}
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