Do this one problem because someone asked me to.

It was really simple...
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Segcolt 2024-11-13 17:01:53 -03:00
parent 368389b596
commit 80e12e9480

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/* Problem URL: https://cses.fi/problemset/task/1092 */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (size_t i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (size_t i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
ll n;
cin >> n;
ll limit = n * (n + 1) / 2;
if (limit % 2 != 0) {
cout << "NO\n";
return 0;
}
limit /= 2;
V<bool> group(n, false);
group.back() = true;
ll sum = n;
for (size_t i = n - 1; i > 0; i--) {
if (sum + i <= limit) {
sum += i;
group[i - 1] = true;
}
}
if (sum != limit) {
cout << "NO\n";
return 0;
}
cout << "YES\n";
vl g1, g2;
for (size_t i = 0; i < n; i++) {
if (group[i]) {
g1.push_back(i + 1);
} else {
g2.push_back(i + 1);
}
}
cout << g1.size() << '\n';
for (auto i : g1) {
cout << i << ' ';
}
cout << '\n';
cout << g2.size() << '\n';
for (auto i : g2) {
cout << i << ' ';
}
cout << '\n';
}