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>
// #pragma GCC optimize ("Ofast,unroll-loops")
// #pragma GCC target ("avx2")
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pp;
#define er(args ...) cerr << __LINE__ << ": ", err(new istringstream(string(#args)), args), cerr << endl
#define per(i,r,l) for(int i = (r); i >= (l); i--)
#define rep(i,l,r) for(int i = (l); i < (r); i++)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define pb push_back
#define ss second
#define ff first
void err(istringstream *iss){}template<typename T,typename ...Args> void err(istringstream *iss,const T &_val, const Args&...args){string _name;*iss>>_name;if(_name.back()==',')_name.pop_back();cerr<<_name<<" = "<<_val<<", ",err(iss,args...);}
void IOS(){
cin.tie(0) -> sync_with_stdio(0);
// #ifndef ONLINE_JUDGE
// freopen("in.in", "r", stdin);
// freopen("out.out", "w", stdout);
// #endif
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll mod = 998244353, maxn = 5e4 + 5, lg = 32, inf = ll(1e9) + 5;
ll pw(ll a,ll b,ll md=mod){if(!b)return 1;ll k=pw(a,b>>1ll);return k*k%md*(b&1ll?a:1)%md;}
int a[maxn], n;
vector<int> cand[maxn], dp[maxn][lg];
int get(int u, int x){
return lower_bound(all(cand[u]), x) - begin(cand[u]);
}
void dfs(int r){
int cnt = 0;
if(r<<1 <= n) dfs(r<<1), cnt++;
if(r<<1 < n) dfs(r<<1|1), cnt++;
rep(i,0,sz(cand[r])){
int x = cand[r][i];
if(cnt == 0) dp[r][i].pb(a[x]);
else if(cnt == 1){
dp[r][i].pb(a[x]), dp[r][i].pb(a[r<<1]);
if(a[x] > a[r<<1]) swap(dp[r][i][0], dp[r][i][1]);
}else{
vector<int> mn(sz(dp[r<<1][0]) + sz(dp[r<<1|1][0]) + 1, n+1);
rep(msk,0,4){
int lx = r<<1, rx = r<<1|1, p = x;
if(msk&1) swap(lx, p);
if(msk&2) swap(rx, p);
vector<int> cand{a[p]}, resl = dp[r<<1][get(r<<1, lx)], resr = dp[r<<1|1][get(r<<1|1, rx)];
int ptr1 = 0, ptr2 = 0, st = 0;
while(ptr1 < sz(resl) || ptr2 < sz(resr)){
int k = 1<<st;
while(k && ptr1 < sz(resl)) cand.pb(resl[ptr1++]), k--;
k = 1<<st;
while(k && ptr2 < sz(resr)) cand.pb(resr[ptr2++]), k--;
st++;
}
bool t = true;
rep(i,0,sz(mn)) if(mn[i] - cand[i]) {
t = mn[i] < cand[i];
break;
}
if(!t) mn = cand;
}
dp[r][i] = mn;
}
}
rep(i,0,sz(cand[r<<1])) dp[r<<1][i].clear();
rep(i,0,sz(cand[r<<1])) dp[r<<1|1][i].clear();
}
int main(){ IOS();
cin >> n;
rep(i,1,n+1) cin >> a[i];
rep(i,1,n+1){
cand[i].pb(i);
for(int j = i; j > 1; j >>= 1) cand[i].pb(j>>1), cand[i].pb(j^1);
sort(all(cand[i]));
while(sz(cand[i]) && cand[i].back() > n) cand[i].pop_back();
}
dfs(1);
// rep(i,1,n+1){
// rep(j,0,sz(cand[i])){
// er(i, cand[i][j]);
// for(int c: dp[i][j]) cerr << c << ' '; cerr << '\n';
// }
// }
for(int c: dp[1][0]) cout << c << ' ';
return 0;
}
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