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;
const int MX = 2005;
int n, m;
vector<int>a;
vector<pair<int,int>>ins;
int dp[MX][MX];
int w;
int solve(int i, int can) {
if(i==m) return 0;
int &ret = dp[i][can];
if(ret!=-1) return ret;
ret = solve(i+1, can);
if(can==0) return ret;
int j = lower_bound(ins.begin(), ins.end(), make_pair(ins[i].second+2*w, INT_MIN))
-ins.begin();
ret = max(ret, j-i-1+solve(j, can-1));
return ret;
}
void PlayGround() {
int p, q;
cin >> n >> p >> q;
if(p+q>=n) {
cout << "1\n";
return;
}
for(int i=0; i<n; ++i) {
int x; cin >> x;
a.push_back(x);
}
sort(a.begin(), a.end());
int l=1, r=1e9;
while(l<r) {
w = (l+r)/2;
ins = {};
for(int i=0, j; i<n; i=j) {
j = lower_bound(a.begin(), a.end(), a[i]+w) - a.begin();
ins.emplace_back(a[j-1], a[i]);
}
m = ins.size();
memset(dp, -1, sizeof dp);
int cnt = max(0, m-p-q);
if(solve(0, q)>=cnt) {
r = w;
} else {
l = w+1;
}
}
cout << l << endl;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
PlayGround();
return 0;
}
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