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>
using namespace std;
const int MAXN = 200005;
int n;
vector <int> Ans;
int A[MAXN], ST[4 * MAXN], Lazy[4 * MAXN];
bool Used[MAXN];
vector <int> Can[MAXN];
void Push(int node, int l, int r)
{
if(Lazy[node])
{
ST[node] = Lazy[node];
if(l != r)
{
Lazy[node << 1] = Lazy[node];
Lazy[node << 1 | 1] = Lazy[node];
}
Lazy[node] = 0;
}
}
void Update(int node, int l, int r, int L, int R, int val)
{
Push(node, l, r);
if(l > R or r < L or l > r)
{
return;
}
if(L <= l and r <= R)
{
Lazy[node] = val;
Push(node, l, r);
return;
}
int mid = (l + r) >> 1;
Update(node << 1, l, mid, L, R, val);
Update(node << 1 | 1, mid + 1, r, L, R, val);
ST[node] = max(ST[node << 1], ST[node << 1 | 1]);
}
void Build(int node, int l, int r)
{
Push(node, l, r);
if(l == r)
{
Can[ST[node]].push_back(l);
return;
}
int mid = (l + r) >> 1;
Build(node << 1, l, mid);
Build(node << 1 | 1, mid + 1, r);
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n;
for(int i = 1; i <= n; i++)
{
cin >> A[i];
}
for(int i = 1; i < n; i++)
{
if(A[i] != A[i + 1])
{
if(A[i] < A[i + 1])
{
Update(1, 1, 2 * n - 1, A[i] + 1, A[i + 1] - 1, 2 * i + 2);
}
else
{
Update(1, 1, 2 * n - 1, A[i + 1] + 1, A[i] - 1, 2 * i + 2);
}
}
}
Build(1, 1, 2 * n - 1);
set <int> S;
for(auto x : Can[0])
{
S.insert(x);
}
assert(S.count(A[1]));
Used[A[1]] = true;
S.erase(A[1]);
Ans.push_back(A[1]);
for(int i = 2; i <= n; i++)
{
for(auto x : Can[2 * i])
{
S.insert(x);
}
if(A[i] == A[i - 1])
{
assert(S.size() >= 2);
int id = *S.begin();
assert(id < A[i]);
Used[id] = true;
Ans.push_back(id);
S.erase(*S.begin());
id = *prev(S.end());
assert(id > A[i]);
S.erase(id);
Used[id] = true;
Ans.push_back(id);
}
else
{
if(A[i] > A[i - 1])
{
int tmp = *prev(S.end());
assert(tmp > A[i]);
Ans.push_back(tmp);
Used[tmp] = true;
S.erase(tmp);
if(Used[A[i]])
{
tmp = *prev(S.end());
}
else
{
tmp = A[i];
assert(S.count(A[i]));
}
Used[tmp] = true;
Ans.push_back(tmp);
S.erase(tmp);
}
else if(A[i] < A[i - 1])
{
int tmp = *S.begin();
assert(tmp < A[i]);
Ans.push_back(tmp);
Used[tmp] = true;
S.erase(tmp);
if(Used[A[i]])
{
tmp = *S.begin();
}
else
{
tmp = A[i];
assert(S.count(A[i]));
}
Used[tmp] = true;
Ans.push_back(tmp);
S.erase(tmp);
}
}
}
for(auto x : Ans)
{
cout << x << ' ';
}
cout << '\n';
}
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