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 i, j, k;
    int N, A[210000];
    int maxl[210000], maxr[210000];

    scanf("%d", &N);
    for(i=0; i<N; i++){
        scanf("%d", &A[i]);
    }
    maxl[0]=A[0];
    maxr[N-1]=A[N-1];
    for(i=1; i<N; i++){
        if(maxl[i-1]>A[i]){
            maxl[i]=maxl[i-1];
        }else{
            maxl[i]=A[i];
        }
    }
    for(i=N-2; i>=0; i--){
        if(maxr[i+1]>A[i]){
            maxr[i]=maxr[i+1];
        }else{
            maxr[i]=A[i];
        }
    }

    for(i=0;i<N;i++){
        if(i==0){
            printf("%d\n", maxr[i+1]);
        }else if(i==N-1){
            printf("%d\n", maxl[N-2]);
        }else{
            if(maxl[i-1]>maxr[i+1]){
                printf("%d\n",maxl[i-1]);
            }else{
                printf("%d\n", maxr[i+1]);
            }
        }
    }

    return 0;
}