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: Accepted)

#include <stdio.h>

int main() {
  int n, max = 0, smax = 0, maxi;
  scanf("%d", &n);
  int a[n];
  for (size_t i = 0; i < n; i++) {
    scanf("%d", a+i);
    if (max<a[i]) {
      smax = max;
      max = a[i];
      maxi = i;
    }else if (smax<a[i]) {
      smax = a[i];
    }
  }
  for (size_t i = 0; i < n; i++) {
    if (i == maxi) {
      printf("%d\n", smax);
    }else {
      printf("%d\n", max);
    }
  }
  return 0;
}