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>
#define ll long long
#define fi first
#define se second
#define endl '\n'
#define MASK(i) (1LL << (i))
#define ull unsigned long long
#define ld long double
#define pb push_back
#define all(x) (x).begin() , (x).end()
#define BIT(x , i) ((x >> (i)) & 1)
#define TASK "task"
#define sz(s) (int) (s).size()
using namespace std;
const int mxN = 2007;
const int inf = 1e9 + 277;
const int mod = 1e9 + 7;
const ll infll = 1e18 + 7;
const int base = 307;
const int LOG = 20;
template <typename T1, typename T2> bool minimize(T1 &a, T2 b) {
if (a > b) {a = b; return true;} return false;
}
template <typename T1, typename T2> bool maximize(T1 &a, T2 b) {
if (a < b) {a = b; return true;} return false;
}
int n;
int p;
int q;
int a[mxN];
int nxt1[mxN];
int nxt2[mxN];
int dp[mxN][mxN];
bool ok(int x)
{
int j1 = 1;
int j2 = 1;
for(int i = 1; i <= n; i++) {
j1 = max(j1, i);
j2 = max(j2, i);
while(j1 < n && a[j1 + 1] - a[i] + 1 <= x) ++j1;
while(j2 < n && a[j2 + 1] - a[i] + 1 <= 2 * x) ++j2;
nxt1[i] = j1;
nxt2[i] = j2;
}
memset(dp, 0x3f, sizeof(dp));
int tmp = dp[0][0];
dp[0][0] = 0;
for(int i = 0; i < n; i++) {
for(int j = 0; j <= p; j++) {
if(dp[i][j] == tmp) continue;
minimize(dp[nxt1[i + 1]][j + 1], dp[i][j]);
minimize(dp[nxt2[i + 1]][j], dp[i][j] + 1);
}
}
for(int j = 0; j <= p; j++) {
if(dp[n][j] <= q) return true;
}
return false;
}
void solve()
{
cin >> n >> p >> q;
for(int i = 1; i <= n; i++) cin >> a[i];
p = min(p, n);
q = min(q, n);
sort(a + 1, a + 1 + n);
int lo = 0, hi = inf;
while(lo + 1 < hi) {
int mid = (lo + hi) / 2;
if(ok(mid)) hi = mid;
else lo = mid;
}
cout << hi;
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int tc = 1;
//cin >> tc;
while(tc--) {
solve();
}
return 0;
}
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