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")
#pragma GCC optimize("unroll-loops")
#define endl "\n"
#define ll long long
#define mp make_pair
#define ins insert
#define lb lower_bound
#define pb push_back
#define ub upper_bound
#define lll __int128
#define fi first
#define se second
using namespace std;
using namespace __gnu_pbds;
typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_multiset;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;
const int inf = 1e9;
int main() {
ios_base::sync_with_stdio(0); cin.tie(NULL);
int n;
cin >> n;
int a[n + 1];
for(int i = 1; i <= n; ++i)
cin >> a[i];
// for each int, we need to know it's pair
vector<int> v[n + 1];
bool to_par[n + 1];
memset(to_par, 0, sizeof(to_par));
// go to parent with the values you have and find whether it is possible
// fi -> idx, se -> moment when split
int res[n + 1];
v[1].pb(a[1]);
// have counter of how many allowed to go to parent, so -- instead?
for(int i = 1; i <= n; ++i) {
pair<int, int> mn = mp(inf, inf);
int cur = i;
cerr << i << endl;
while(true) {
// mark where we should stop, the child of that should be not allowed to go
// cerr << "AT PARENT " << cur << endl;
if(v[cur].size()) {
mn = min(mn, mp(v[cur].back(), cur));
}
// cerr << "DEBUG " << cur << endl;
if(!to_par[cur])
break;
cur >>= 1;
}
// keep in mind that we can use both left and right childs too
// left child -> to_par[right] false
if(2 * i <= n) {
mn = min(mn, mp(a[2 * i], 2 * i));
}
if(2 * i + 1 <= n) {
mn = min(mn, mp(a[2 * i + 1], 2 * i + 1));
}
// cerr << "FOUND MN " << mn.fi << " " << mn.se << endl;
// cerr << "TO_PAR " << to_par[i] << endl;
res[i] = mn.fi;
if(mn.se == 2 * i) {
// use a[2 * i] here
to_par[2 * i] = 1;
// push right if exists
if(2 * i + 1 <= n)
v[2 * i + 1].pb(a[2 * i + 1]);
}
else if(mn.se == 2 * i + 1) {
// use a[2 * i + 1] here
// whatever in v[i] or parents of it can go to both directions
to_par[2 * i] = to_par[2 * i + 1] = 1;
v[i].pb(a[2 * i]);
if(v[i].size() == 2)
if(v[0] < v[1])
swap(v[0], v[1]);
}
else {
// any child can not go to parent
// set in our direction that it is not allowed (unless it is at current, then it doesn't matter)
if(2 * i <= n)
v[2 * i].pb(a[2 * i]);
if(2 * i + 1 <= n)
v[2 * i + 1].pb(a[2 * i + 1]);
if(mn.se != i) {
int cur = i;
// cerr << cur << " " << mn.se << endl;
while(cur != mn.se) {
to_par[cur] = 0;
cur >>= 1;
}
// cerr << "DELETE " << mn.se << endl;
v[mn.se].pop_back();
}
}
}
for(int i = 1; i <= n; ++i)
cout << res[i] << " ";
cout << endl;
return 0;
}
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