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 Python (3.4.3) (judge verdict: Accepted)

from sys import stdin
import numpy as np
from operator import itemgetter

N = int(stdin.readline().rstrip().split()[0])
A = []
for i in range(N):
    A.append(int(stdin.readline().rstrip().split()[0]))

L_max = [0]
R_max = [0]

for i in range(N-1):
    L_max.append(max(L_max[-1], A[i]))

for i in range(N-1,0,-1):
    R_max.append(max(R_max[-1], A[i]))

R_max=R_max[::-1]
noi_max = []
for i in range(N):
    noi_max.append(max(L_max[i], R_max[i]))

for i in range(N):
    print(noi_max[i])