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 unsigned long long ull;
const ll oo = 1e18;
const int mod = 1e9+7;
const int nax = 2020;
int n,s,b;
int dp[nax][nax];
vector<int> a;
bool can(int w){
for(int i=0;i<n;i++)
for(int j=0;j<n;j++)
dp[i][j] = 2e9;
int to = -1,u = 0;
for(int i=0;i<n;i++){
if(a[i] > to){
to = a[i] + w - 1;
u++;
}
dp[i][0] = u;
}
int idx = 0,idx2=0;
for(int i=0;i<n;i++){
for(int j=1;j<=b;j++){
int cur = a[i] - 2*w + 1,at;
if(cur <= 0)dp[i][j] = 0;
else{
while(idx < n && cur > a[idx])
idx++;
at = idx;
if(at == 0){
dp[i][j] = 0;
}else{
at--;
dp[i][j] = min(dp[i][j],dp[at][j-1]);
// if(i)dp[i][j] = min(dp[i][j],dp[i-1][j]+1);
}
}
cur = a[i] - w + 1;
if(cur <= 0)dp[i][j] = 0;
else{
while(idx2 < n && cur > a[idx2])
idx2++;
at = idx2;
if(at == 0){
dp[i][j] = 0;
}else{
at--;
dp[i][j] = min(dp[i][j],dp[at][j]+1);
// if(i)dp[i][j] = min(dp[i][j],dp[i-1][j]+1);
}
}
}
}
return dp[n-1][b] <= s;
}
int main(){
cin>>n>>s>>b;
s = min(s,n);
b = min(b,n);
a.resize(n);
for(int i=0;i<n;i++)cin>>a[i];
sort(a.begin(),a.end());
int md,lo=1,hi=1e9,ans = 0;
while(lo <= hi){
md = (lo + hi)/2;
if(can(md)){
ans = md;
hi = md-1;
}else lo = md+1;
}
cout << ans << endl;
}
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