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 fr(i, n, m) for(int i = (n); i < (m); i ++)
#define pb push_back
#define st first
#define nd second
#define pq priority_queue
#define all(x) begin(x), end(x)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
ll const inf = 1e9;
ll const mod = 1e9 + 7;
ld const eps = 1e-13;
ll n, p, q;
ll a[2000];
bool ok(ll w){
ll dp[n + 1][q + 1];
dp[0][0] = 0;
fr(i, 1, q + 1) dp[0][i] = inf;
fr(i, 1, n + 1){
ll jlong = -1;
ll jshort = -1;
for(int j = i; j >= 1; j --){
if(a[i - 1] - a[j - 1] + 1 <= w) jshort = j;
if(a[i - 1] - a[j - 1] + 1 <= 2 * w) jlong = j;
}
fr(Q, 0, q + 1){
dp[i][Q] = inf;
if(Q > 0){
ll bef = 0;
bef = dp[jlong - 1][Q - 1];
dp[i][Q] = bef;
}
ll bef = 0;
bef = dp[jshort - 1][Q];
dp[i][Q] = min(dp[i][Q], bef + 1);
}
}
ll BEST = inf;
fr(i, 0, q + 1){
BEST = min(BEST, dp[n][i]);
}
return BEST <= p;
}
void solve(){
cin >> n >> p >> q;
q = min(n, q);
fr(i, 0, n){
cin >> a[i];
}
sort(a, a + n);
ll ans = 0;
ll mx = 1e9;
for(ll b = mx / 2; b >= 1; b /= 2){
while(b + ans <= mx && !ok(b + ans)) ans += b;
}
cout << ans + 1<<endl;
}
int main()
{
solve();
return 0;
}
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