Problem:
Score : 300 points

Problem Statement

You are given a sequence of length N: A_1, A_2, ..., A_N.
For each integer i between 1 and N (inclusive), answer the following question:

Find the maximum value among the N-1 elements other than A_i in the sequence.

Constraints

2 \leq N \leq 200000

1 \leq A_i \leq 200000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1
:
A_N

Output

Print N lines. The i-th line (1 \leq i \leq N) should contain the maximum value among the N-1 elements other than A_i in the sequence.

Sample Input 1

3
1
4
3

Sample Output 1

4
3
4

The maximum value among the two elements other than A_1, that is, A_2 = 4 and A_3 = 3, is 4.

The maximum value among the two elements other than A_2, that is, A_1 = 1 and A_3 = 3, is 3.

The maximum value among the two elements other than A_3, that is, A_1 = 1 and A_2 = 4, is 4.

Sample Input 2

2
5
5

Sample Output 2

5
5

Solution in C++ (GCC 9.2.1) (judge verdict: Accepted)

//#define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for (int i = 0;i < (int)(n);i++)
using ll = long long;
const ll MOD=1000000007;
//const ll MOD=998244353;
const long long INF = 1LL << 60;
const double pi=acos(-1.0);
int dx[9] = {1, 0, -1, 0, 1, 1, -1, -1, 0};
int dy[9] = {0, 1, 0, -1, 1, -1, -1, 1, 0};

template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }



int main()
{
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  // cout << fixed << setprecision(15);

  ll N; cin>>N;
  vector<ll> A(N); rep(i,N) cin>>A[i];
  
  map<ll,ll> mp;
  for(auto a:A) mp[a]++;
  
  for(auto a:A){
    
    mp[a]--; if(mp[a]==0) mp.erase(a);
    cout<<(*mp.rbegin()).first<<'\n';
    
    mp[a]++;
  }
  
         
  return 0;
}