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 <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<ld,ld> pdd;
#define ff(i,a,b) for(int i = a; i <= b; i++)
#define fb(i,b,a) for(int i = b; i >= a; i--)
#define trav(a,x) for (auto& a : x)
#define sz(a) (int)(a).size()
#define pb push_back
#define fi first
#define se second
#define lb lower_bound
#define ub upper_bound
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// os.order_of_key(k) the number of elements in the os less than k
// *os.find_by_order(k) print the k-th smallest number in os(0-based)
const int mod = 1000000007;
const int inf = 1e9 + 5;
const int mxN = 2005;
int n, p, q;
int niz[mxN];
int dp[mxN][mxN];
bool check(int X){
// ako je w = X
ff(i,0,n)ff(j,0,p)dp[i][j] = inf;
dp[0][0] = 0;
ff(i,1,n){
ff(j,0,p){
{
int l = 1, r = i, ans = i;
while(l <= r){
int mid = (l + r) / 2;
if(niz[i] - niz[mid] + 1 <= 2 * X){
ans = mid;
r = mid - 1;
}
else l = mid + 1;
}
dp[i][j] = min(dp[i][j], dp[ans - 1][j] + 1);
}
if(j > 0){
int l = 1, r = i, ans = i;
while(l <= r){
int mid = (l + r) / 2;
if(niz[i] - niz[mid] + 1 <= X){
ans = mid;
r = mid - 1;
}
else l = mid + 1;
}
dp[i][j] = min(dp[i][j], dp[ans - 1][j - 1]);
}
}
}
ff(j,0,p)if(dp[n][j] <= q)return 1;
return 0;
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n >> p >> q;
ff(i,1,n)cin >> niz[i];
if(p + q >= n){
cout << 1 << '\n';
return 0;
}
sort(niz + 1, niz + n + 1);
int l = 1, r = inf, ans = 0;
while(l <= r){
int mid = (l + r) / 2;
if(check(mid)){
ans = mid;
r = mid - 1;
}
else l = mid + 1;
}
cout << ans << '\n';
return 0;
}
/*
3 1 1
2
11
17
13 3 2
33
66
99
10
83
68
19
83
93
53
15
66
75
// probati bojenje sahovski
*/
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