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: Wrong Answer)

#include <stdio.h>
#define FOR(i,L,R) for (int i = L; i < R; i++)
#define READ(n) int (n); scanf("%d",&(n))
#define getInt(a) scanf("%d", &a)

int main(){
    READ(n);
    int arr[n], max = 0, secMax = 0, maxCnt = 0;
    FOR(i, 0, n){
        getInt(arr[i]);
        if (arr[i] == max)
            maxCnt++;
        else if (arr[i] > max){
            max = arr[i];
            maxCnt = 0;
            continue;
        }
        if (arr[i] > secMax && arr[i] < max)
            secMax = arr[i];
    }
            
    FOR(i, 0, n){
        if (arr[i] == max && maxCnt != 1)
            printf("%d\n", secMax);
        else
            printf("%d\n", max);
    }
}