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 unsigned long long ull;
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ll mask){return __builtin_ctzll(mask);}
int logOf(ll mask){return __lg(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T& container, char separator = ' ', char finish = '\n'){
for(auto item: container) cout << item << separator;
cout << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
const long N = 2007;
long n, a, b;
vector<long> x;
long dp[N][N];
bool check(long w){
vector<long> nxt1(n+1), nxt2(n+1);
for(long i = 0; i<n; ++i){
if (x[i] + w > 1e9){
nxt1[i] = nxt2[i] = n;
}
else{
nxt1[i] = lower_bound(ALL(x), x[i] + w) - x.begin();
nxt2[i] = lower_bound(ALL(x), x[i] + w*2) - x.begin();
}
}
nxt1[n] = nxt2[n] = n;
for(long i = 0; i<=a; ++i)
for(long j = 0; j<=b; ++j) dp[i][j] = 0;
for(long i = a; i>=0; --i)
for(long j = b; j>=0; --j){
if (i > 0) maximize(dp[i-1][j], nxt1[dp[i][j]]);
if (j > 0) maximize(dp[i][j-1], nxt2[dp[i][j]]);
}
return (dp[0][0] >= n);
}
int main(void){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> a >> b;
x.resize(n);
for(long i = 0; i<n; ++i) cin >> x[i];
sort(ALL(x));
if (a + b >= n){
cout << 1 << "\n";
return 0;
}
long l = 1, r = 1e9;
long s = a + b;
r = (r + s - 1) / s;
while(l < r){
long mid = (l + r) >> 1;
if (check(mid)) r = mid;
else l = mid + 1;
}
cout << l << "\n";
return 0;
}
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