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;
int l,r,mid,n,p,q,a[2005],dp[2005][2005];
vector <int> v;
deque <int> dq;
int main(){
ios::sync_with_stdio(false);
cin >> n >> p >> q;
for (int i=1;i<=n;i++){
cin >> a[i];
}
sort(a+1,a+1+n);
for (int i=1;i<=n;i++){
for (int j=i;j<=n;j++){
v.push_back(a[j]-a[i]+1);
}
}
sort(v.begin(),v.end());
l=0; r=(int)v.size()-1;
while (l < r){
mid=(l+r)/2;
for (int i=0;i<=min(n,q);i++){ //used how many large
for (int j=1;j<=n;j++){
dp[i][j]=1e9;
}
}
for (int i=0;i<=min(n,q);i++){ //used how many large
if (i > 0){
dq.push_back(0);
for (int j=1;j<=n;j++){
while (!dq.empty() && a[j]-a[dq.front()+1]+1 > 2*(v[mid]/2+v[mid]%2)) dq.pop_front();
if (dq.empty()){
l=mid+1;
while (!dq.empty()) dq.pop_front();
goto out;
}
else
dp[i][j]=dp[i-1][dq.front()];
while (!dq.empty() && dp[i-1][j] <= dp[i-1][dq.back()]) dq.pop_back();
dq.push_back(j);
}
while (!dq.empty()) dq.pop_back();
}
dq.push_back(0);
for (int j=1;j<=n;j++){
while (!dq.empty() && a[j]-a[dq.front()+1]+1 > (v[mid]/2+v[mid]%2)) dq.pop_front();
if (!dq.empty())
dp[i][j]=min(dp[i][j],dp[i][dq.front()]+1);
while (!dq.empty() && dp[i][j] <= dp[i][dq.back()]) dq.pop_back();
dq.push_back(j);
}
while (!dq.empty()) dq.pop_back();
}
/* cout << l << " " << r << "\n";
for (int i=1;i<=min(n,q);i++){ //used how many large
for (int j=1;j<=n;j++){
cout << dp[i][j] << " ";
}
cout << "\n";
}*/
if (dp[min(n,q)][n] <= p)
r=mid;
else
l=mid+1;
out:;
}
cout << v[l]/2+v[l]%2 << "\n";
return 0;
}
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