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 5.4.1) (judge verdict: Time Limit Exceeded)

#include<stdio.h>
int main (void){
int N,i,j,k,max_;
scanf("%d",&N);
int A[N+1],max[N+1];
for(i=0;i<N;i++){
scanf("%d",&A[i]);
}
for(i=0;i<N;i++){
max_=0;
for(j=0;j<i;j++){
if(max_<=A[j]){
max_=A[j];
}
}
for(k=i+1;k<N;k++){
if(max_<=A[k]){
max_=A[k];
}
}
max[i]=max_;
}
for(i=0;i<N;i++){
printf("%d\n",max[i]);
}
return 0;
}