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 int ll;
const int MAXN = 1e5+10;
int n, a[MAXN], dif[MAXN];
bool good[MAXN], done = false;
vector <int> x, y;
int pt, difx, dify;
inline void pre1(){
x.clear(); y.clear();
x.push_back(a[0]); x.push_back(a[1]);
pt = 2; difx = abs(a[1]-a[0]); dify = 0;
return;
}
inline void pre2(){
x.clear(); y.clear();
x.push_back(a[0]); y.push_back(a[1]); x.push_back(a[2]);
pt = 3; difx = abs(a[2]-a[0]); dify = 0;
return;
}
inline void pre3(){
x.clear(); y.clear();
y.push_back(a[0]); x.push_back(a[1]); x.push_back(a[2]);
pt = 3; difx = abs(a[2]-a[1]); dify = 0;
return;
}
inline bool ok(){
if(!good[pt]) return false;
if(y.empty()) return true;
if((int)y.size()>=2&&abs(a[pt]-y.back())!=dify) return false;
if(dif[pt]!=-1&&abs(a[pt]-y.back())!=dif[pt]) return false;
return true;
}
inline void ch(){
if(pt>=n){
done = true;
return;
}
while(pt<n){
if(ok()){
done = true;
for(int i = pt; i < n; i++) y.push_back(a[i]);
return;
}
if(difx==abs(a[pt]-x.back())){
x.push_back(a[pt]); pt++;
continue;
}
if((int)y.size()>=2&&dify!=abs(a[pt]-y.back())) return;
if(!y.empty()) dify = abs(a[pt]-y.back());
y.push_back(a[pt]); pt++;
}
return;
}
int main()
{
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> n;
for(int i = 0; i < n; i++) cin >> a[i];
sort(a, a+n);
good[n-1] = good[n-2] = true; dif[n-1] = -1;
dif[n-2] = abs(a[n-1]-a[n-2]);
for(int i = n-3; i>=0; i--){
good[i] = (good[i+1]&&(dif[i+1]==abs(a[i+1]-a[i])));
dif[i] = dif[i+1];
}
if(good[0]){
cout << n-1 << '\n';
for(int i = 0; i < n-1; i++) cout << a[i] << " ";
cout << '\n' << 1 << '\n' << a[n-1] << '\n';
return 0;
}
pre1(); ch();
if(!done){
pre2(), ch();
}
if(!done){
pre3(), ch();
}
if(!done){
cout << -1 << '\n';
}
else{
cout << (int)x.size() << '\n';
for(int i: x) cout <<i << " ";
cout << '\n' << (int)y.size() << '\n';
for(int i: y) cout << i << " ";
cout << '\n';
}
return 0;
}
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