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)

# 累積和(max)
N = int(input())
a = [int(input()) for _ in range(N)]
lcm = a[:]
rcm = a[:]
for i in range(1, N):
  lcm[i] = max(lcm[i], lcm[i - 1])
for i in range(N - 2, -1, -1):
  rcm[i] = max(rcm[i], rcm[i + 1])
print(rcm[1])
for i in range(1, N - 1):
  print(max(lcm[i - 1], rcm[i + 1]))
print(lcm[N - 2])