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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
//#pragma GCC optimize("Ofast,unroll-loops")
//#pragma GCC target("avx,avx2,fma")
using namespace std;
using namespace __gnu_pbds;
#define fi first
#define se second
#define all(m) (m).begin(), (m).end()
#define rall(m) (m).rbegin(), (m).rend()
#define vec vector
#define sz(a) (int) (a).size()
#define mpp make_pair
#define mt t make_tuple
#define RA ranges
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef pair <ll, ll> pll;
typedef pair <int, int> pii;
typedef tuple <int, int, int> tui;
template <typename T>
using prq = priority_queue <T>;
template <typename T>
using pgq = priority_queue <T, vec <T>, greater <T>>;
template <typename T>
using oset = tree <T, null_type, less <T>, rb_tree_tag, tree_order_statistics_node_update>;
#define ook order_of_key
template <typename T> bool umin(T &a, T b) { return a > b ? a = b, 1 : 0; }
template <typename T> bool umax(T &a, T b) { return a < b ? a = b, 1 : 0; }
inline int solve(){
int n; cin >> n;
vec <int> a(n + 1);
for (int i = 1; i <= n; ++i) cin >> a[i];
auto mrg = [&](int x, vec <int> lf, vec <int> rt){
vec <int> res(1 + sz(lf) + sz(rt));
res[0] = x;
int p1 = 0, p2 = 0;
int st = 1, pt = 1;
while(pt < sz(res)){
for (int i = 0; i < st && p1 < sz(lf) && pt < sz(res); ++i){
res[pt++] = lf[p1++];
}
for (int i = 0; i < st && p2 < sz(rt) && pt < sz(res); ++i){
res[pt++] = rt[p2++];
}
st <<= 1;
}
return res;
};
vec <map <int, vec <int>>> dp(n + 1);
auto _dp = [&](auto &&_dp, int i, int ai) -> vec <int> {
if (dp[i].count(ai)) return dp[i][ai];
int ls = 2 * i, rs = 2 * i + 1;
if (ls > n) return dp[i][ai] = {ai};
if (rs > n) return dp[i][ai] = {min(ai, a[ls]), max(ai, a[ls])};
if (ai < min(a[ls], a[rs])){
return dp[i][ai] = mrg(ai, _dp(_dp, ls, a[ls]), _dp(_dp, rs, a[rs]));
}
if (a[ls] < a[rs]){
return dp[i][ai] = mrg(a[ls], _dp(_dp, ls, ai), _dp(_dp, rs, a[rs]));
}
return dp[i][ai] = min(mrg(a[rs], _dp(_dp, ls, a[ls]), _dp(_dp, rs, ai)),
mrg(a[rs], _dp(_dp, ls, ai), _dp(_dp, rs, a[ls])));
};
vec <int> res = _dp(_dp, 1, a[1]);
for (auto &i: res) cout << i << " ";
return 0;
}
inline void precalc(){}
signed main(){
//ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int tst = 1; //cin >> tst;
precalc();
while(tst--) solve();
return 0;
}
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