This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Ali - OVERKILLL BABE
// #pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define ins insert
#define pii pair<int,int>
#define pb push_back
#define endl '\n'
#define putr(x) cout<<x<<endl;return;
#define all(x) x.begin(),x.end()
const int mod = 1e9 +7, sze = 1e6+23, inf = 2e9, LG = 19,pr = 31;
struct ups{
vector<int> T;
ups(int n){
T.resize(n*4 +23,inf);
}
void upd(int node,int idx,int l,int r,int v){
if(l==r){
T[node]=v;
return;
}
int mid = (l+r)/2;
if(idx<=mid){
upd(2*node,idx,l,mid,v);
}
else{
upd(2*node +1,idx,mid+1,r,v);
}
T[node]=min(T[2*node],T[2*node +1]);
}
int qry(int node,int lx,int rx,int l,int r){
if(lx>rx){
return inf;
}
if(l>rx || r<lx){
return inf;
}
if(l>=lx && r<=rx){
return T[node];
}
int mid= (l+r)/2;
return min(
qry(2*node,lx,rx,l,mid),
qry(2*node +1,lx,rx,mid+1,r)
);
}
};
struct upsmax{
vector<int> T;
upsmax(int n){
T.resize(n*4 +23,-inf);
}
void upd(int node,int idx,int l,int r,int v){
if(l==r){
T[node]=v;
return;
}
int mid = (l+r)/2;
if(idx<=mid){
upd(2*node,idx,l,mid,v);
}
else{
upd(2*node +1,idx,mid+1,r,v);
}
T[node]=max(T[2*node],T[2*node +1]);
}
int qry(int node,int lx,int rx,int l,int r){
if(lx>rx){
return -inf;
}
if(l>rx || r<lx){
return -inf;
}
// cout<<lx<<" "<<rx<<" "<<l<<" "<<r<<endl;
if(l>=lx && r<=rx){
return T[node];
}
int mid= (l+r)/2;
return max(
qry(2*node,lx,rx,l,mid),
qry(2*node +1,lx,rx,mid+1,r)
);
}
};
void fast(){
int n,a,b;
cin>>n>>a>>b;
vector<int> arr(n);
for(int i=0;i<n;i++){
cin>>arr[i];
}
sort(all(arr));
int lx=0;
int rx =2e9;
int ans=0;
ups mins(n+23);
upsmax maxs(n+23);
for(int i=0;i<n;i++){
mins.upd(1,i,0,n-1,arr[i]);
maxs.upd(1,i,0,n-1,arr[i]);
}
// cout<<maxs.qry(1,0,3,0,n-1)<<endl;
while(lx<=rx){
ups dp(n+23);
int mid = (lx+rx)/2;
// cout<<lx<<" "<<rx<<" --- "<<mid<<endl;
dp.upd(1, a-1, 0,n-1, maxs.qry(1,0,a-1,0,n-1) - mins.qry(1,0,a-1,0,n-1) );
// cout<<maxs.qry(1,0,a-1,0,n-1) - mins.qry(1,0,a-1,0,n-1)<<endl;
for(int i=a;i<n;i++){
int r = max((int)0,i - a +1);
int l = max((int)0,i-b +1);
int z = inf;
// cout<<mid<<" "<<l<<" "<<r<<" "<<i<<endl;
// cout<<maxs.qry(1,l,i,0,n-1)- mins.qry(1,l,i,0,n-1)<<endl;
while(l<=r){
// cout<<mid<< " "<<l<<" "<<r<<endl;
int m = (l+r)/2;
if( maxs.qry(1,m,i,0,n-1) - mins.qry(1,m,i,0,n-1) <= mid ){
r = m-1;
z = m;
}
else{
l = m+1;
}
}
// cout<<mid<<" "<<i<<" "<<z<<endl;
if(z!=inf){
int x = dp.qry(1,max((int)0,z-1),max((int)0,i-a),0,n-1);
// cout<<i<<" => "<<x<<endl;
dp.upd(1,i,0,n-1,x);
}
}
// cout<<mid<<" ............ "<<dp.qry(1,n-1,n-1,0,n-1)<<endl;
if(dp.qry(1,n-1,n-1,0,n-1) <= mid){
rx = mid-1;
ans = mid;
}
else{
lx = mid+1;
}
}
putr(ans);
}
signed main(){
// ios::sync_with_stdio(0);
// cin.tie(0);
// cout.tie(0);
int tt = 1;
// cin>>tt;
while(tt--){
fast();
}
return 0;
}
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