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: Wrong Answer)

#include <stdio.h>
int main(void){
  int N;
  int A[2000010];
  scanf("%d",&N);
  int max;
  int max2;
  int i;
  for(i=0;i<N;i++){
    scanf("%d",&A[i]);
    if(max<A[i]){
      max=A[i];
    }
  }
  for(i=0;i<N;i++){
    if((max2<A[i])&&(A[i]<max)){
      max2=A[i];
    }
  }
  for(i=0;i<N;i++){
    if(A[i]==max){
      if(max2==0){
        printf("%d\n",max);
      }
      else{
        printf("%d\n",max2);
      }
    }
    else{
      printf("%d\n",max);
    }
  }
  return 0;
}