cp/usaco/bronze/sorting/kayaking.cc
2025-04-30 16:28:40 -04:00

93 lines
1.9 KiB
C++

#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
template <typename T> constexpr T MIN = std::numeric_limits<T>::min();
template <typename T> constexpr T MAX = std::numeric_limits<T>::max();
template <typename T> [[nodiscard]] static T sc(auto &&x) {
return static_cast<T>(x);
}
template <typename T> [[nodiscard]] static T sz(auto &&x) {
return static_cast<T>(x.size());
}
#endif
static void NO() { std::cout << "NO\n"; }
static void YES() { std::cout << "YES\n"; }
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
long long findMinScore(std::vector<int> &a) {
int n = a.size() / 2;
long long S = 0;
for (int i = 0; i < 2 * n; i += 2) {
S += a[i + 1] - a[i];
}
long long min_score = S;
for (int i = 0; i < 2 * n - 1; i++) {
long long diff = a[i + 1] - a[i];
long long score = (i % 2 == 0) ? S - diff : S + diff;
min_score = std::min(min_score, score);
}
long long adjust = a[1] - a[0];
for (int k = 1; k < n; k++) {
adjust += a[2 * k + 1] - 2LL * a[2 * k] + a[2 * k - 1];
}
min_score = std::min(min_score, S - adjust);
return min_score;
}
void solve() {
u32 n;
cin >> n;
vector<i32> a(n * 2);
for (auto &e : a)
cin >> e;
sort(all(a));
cout << findMinScore(a);
}
int main() { // {{{
cin.tie(nullptr)->sync_with_stdio(false);
cin.exceptions(cin.failbit);
u32 tc = 1;
// cin >> tc;
for (u32 t = 0; t < tc; ++t) {
solve();
}
return 0;
}
// }}}