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 Lua (5.3.2) (judge verdict: Accepted)

local N = io.read("n")
local A = {}
for i=1,N do
    A[i] = io.read("n")
end
local max_ltoi = {}
local max_itor = {}
max_ltoi[0] = -1
max_itor[N+1] = -1
for i=1,N do
    max_ltoi[i] = math.max(max_ltoi[i-1], A[i])
end
for i=N,1,-1 do
    max_itor[i] = math.max(max_itor[i+1], A[i])
end
for i=1,N do
    local m = math.max(max_ltoi[i-1], max_itor[i+1])
    print(m)
end