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 <iostream>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <cassert>
#include <string>
#include <cstring>
#include <bitset>
#include <random>
#include <chrono>
#define FOR(i, a, b) for(int i = a; i < (int) b; i++)
#define F0R(i, a) FOR (i, 0, a)
#define ROF(i, a, b) for(int i = a; i >= (int) b; i--)
#define R0F(i, a) ROF(i, a, 0)
#define GO(i, a) for (auto i : a)
#define rsz resize
#define eb emplace_back
#define pb push_back
#define sz(x) (int) x.size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define f first
#define s second
using namespace std;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<pii> vpii;
typedef vector<vi> vvi;
typedef vector<vpii> vvpii;
typedef long long i64;
typedef vector<i64> vi64;
typedef vector<vi64> vvi64;
typedef pair<i64, i64> pi64;
typedef vector<pi64> vpi64;
const int dr[] = {+1, -1, +0, +0, +1, -1, +1, -1};
const int dc[] = {+0, +0, +1, -1, +1, -1, -1, +1};
const int ms[] = {+31, +29, +31, 30, +31, +30, +31, +31, +30, +31, +30, +31};
int dp [2005][2005];
int n;
vi zona;
int solve (int p, int small, int range) {
if (p >= n) return 0;
int &res = dp[p][small];
if (~res) return res;
res = 1e9;
if (small) {
int next_location = (lower_bound (all(zona), zona[p] + range) - zona.begin());
res = min (res, solve (next_location, small - 1, range));
}
int next_location = (lower_bound (all(zona), zona[p] + 2 * range) - zona.begin());
res = min (res, solve (next_location, small, range) + 1);
return res;
}
int main () {
ios::sync_with_stdio(0);
cin.tie(0);
int small, big;
cin >> n >> small >> big;
if (small + big >= n) {
cout << 1 << '\n';
return 0;
}
zona.resize(n);
F0R (i, n) cin >> zona[i];
sort (all(zona));
int lo = 1, hi = 1e9 + 5;
while (lo < hi) {
int mid = lo + (hi - lo) / 2;
memset (dp, -1, sizeof(dp));
if ( solve (0, small, mid) <= big) hi = mid;
else lo = mid + 1;
}
cout << hi << '\n';
return 0;
}
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