#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
int n, arr[N], dif, cur, nxt;
bool vis[N];
vector<int> a, b, ansa, ansb;
bool check(vector<int> v){
for(int i = 2; i < v.size(); i++) if(arr[v[i]] - arr[v[i - 1]] != arr[v[1]] - arr[v[0]]) return false;
return true;
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(NULL);
cin >> n;
for(int i = 1; i <= n; i++) cin >> arr[i];
sort(arr + 1, arr + n + 1);
if(arr[1] != arr[2]){
a.clear(), b.clear(); memset(vis, 0, sizeof(vis));
a.push_back(1); a.push_back(2);
vis[1] = vis[2] = true;
dif = arr[2] - arr[1];
cur = 2;
while(true){
nxt = lower_bound(arr + 1, arr + n + 1, arr[cur] + dif) - arr;
if(nxt > n || arr[nxt] != arr[cur] + dif) break;
vis[nxt] = true;
a.push_back(nxt);
cur = nxt;
}
cur = -1;
for(int i = 1; i <= n; i++){
if(!vis[i]){
if(b.size() < 2){
b.push_back(i);
cur = i;
}
}
}
if(b.size() == 2){
dif = arr[b[1]] - arr[b[0]];
while(true){
nxt = lower_bound(arr + 1, arr + n + 1, arr[cur] + dif) - arr;
if(nxt > n || arr[nxt] != arr[cur] + dif) break;
else if(vis[nxt]){
if(nxt + 1 <= n && arr[nxt + 1] == arr[nxt]) nxt++;
else{
while(a.back() >= nxt){
vis[a.back()] = false;
a.pop_back();
}
}
}
vis[nxt] = true;
b.push_back(nxt);
cur = nxt;
}
}
if(check(a) && check(b) && a.size() + b.size() == n) ansa = a, ansb = b;
}
else{
a.clear(), b.clear();
for(int i = 1; i <= n; i++){
if(arr[i] == arr[1]) a.push_back(i);
else b.push_back(i);
}
if(check(a) && check(b) && a.size() + b.size() == n) ansa = a, ansb = b;
}
if(n >= 3 && arr[1] != arr[3]){
a.clear(), b.clear(); memset(vis, 0, sizeof(vis));
a.push_back(1); a.push_back(3);
vis[1] = vis[3] = true;
dif = arr[3] - arr[1];
cur = 3;
while(true){
nxt = lower_bound(arr + 1, arr + n + 1, arr[cur] + dif) - arr;
if(nxt > n || arr[nxt] != arr[cur] + dif) break;
vis[nxt] = true;
a.push_back(nxt);
cur = nxt;
}
cur = -1;
for(int i = 1; i <= n; i++){
if(!vis[i]){
if(b.size() < 2){
b.push_back(i);
cur = i;
}
}
}
if(b.size() == 2){
dif = arr[b[1]] - arr[b[0]];
while(true){
nxt = lower_bound(arr + 1, arr + n + 1, arr[cur] + dif) - arr;
if(nxt > n || arr[nxt] != arr[cur] + dif) break;
else if(vis[nxt]){
if(nxt + 1 <= n && arr[nxt + 1] == arr[nxt]) nxt++;
else{
while(a.back() >= nxt){
vis[a.back()] = false;
a.pop_back();
}
}
}
vis[nxt] = true;
b.push_back(nxt);
cur = nxt;
}
}
if(check(a) && check(b) && a.size() + b.size() == n) ansa = a, ansb = b;
}
if(n >= 3 && arr[2] != arr[3]){
a.clear(), b.clear(); memset(vis, 0, sizeof(vis));
a.push_back(2); a.push_back(3);
vis[2] = vis[3] = true;
dif = arr[3] - arr[2];
cur = 3;
while(true){
nxt = lower_bound(arr + 1, arr + n + 1, arr[cur] + dif) - arr;
if(nxt > n || arr[nxt] != arr[cur] + dif) break;
vis[nxt] = true;
a.push_back(nxt);
cur = nxt;
}
cur = -1;
for(int i = 1; i <= n; i++){
if(!vis[i]){
if(b.size() < 2){
b.push_back(i);
cur = i;
}
}
}
if(b.size() == 2){
dif = arr[b[1]] - arr[b[0]];
while(true){
nxt = lower_bound(arr + 1, arr + n + 1, arr[cur] + dif) - arr;
if(nxt > n || arr[nxt] != arr[cur] + dif) break;
else if(vis[nxt]){
if(nxt + 1 <= n && arr[nxt + 1] == arr[nxt]) nxt++;
else{
while(a.back() >= nxt){
vis[a.back()] = false;
a.pop_back();
}
}
}
vis[nxt] = true;
b.push_back(nxt);
cur = nxt;
}
}
if(check(a) && check(b) && a.size() + b.size() == n) ansa = a, ansb = b;
}
else if(n >= 3){
a.clear(), b.clear();
for(int i = 1; i <= n; i++){
if(arr[i] == arr[2]) a.push_back(i);
else b.push_back(i);
}
if(check(a) && check(b) && a.size() + b.size() == n) ansa = a, ansb = b;
}
if(ansb.size() > ansa.size()) swap(ansb, ansa);
if(ansa.size() == 0) cout << -1;
else{
if(ansb.size() == 0) ansb.push_back(ansa.back()), ansa.pop_back();
cout << ansa.size() << "\n";
for(auto i : ansa) cout << arr[i] << " ";
cout << "\n";
cout << ansb.size() << "\n";
for(auto i : ansb) cout << arr[i] << " ";
cout << "\n";
}
}