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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<bitset>
#include<queue>
#define FOR(i,l,r) for(int i=(l),i##R=(r);i<=i##R;i++)
#define DOR(i,r,l) for(int i=(r),i##L=(l);i>=i##L;i--)
#define loop(i,n) for(int i=0,i##R=(n);i<i##R;i++)
#define mms(a,x) memset(a,x,sizeof a)
using namespace std;
typedef long long ll;
template<typename A,typename B>inline void chkmax(A &x,const B y){if(x<y)x=y;}
template<typename A,typename B>inline void chkmin(A &x,const B y){if(x>y)x=y;}
const int N=2e5+5;
int n;
int a[N],p,mx,se;
int main(){
	scanf("%d",&n);
	FOR(i,1,n)scanf("%d",&a[i]);
	FOR(i,1,n){
		if(a[i]>mx)se=mx,mx=a[i],p=i;
		else if(a[i]>se)se=a[i];
	}
	FOR(i,1,n){
		printf("%d\n",p==i?se:mx);
	}
	return 0;
}