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 Pascal (FPC 2.6.2) (judge verdict: Accepted)

var
	N,i:Longint;
	A,L,R:Array[1..200000]of Longint;
begin
	read(N);
	for i:=1 to N do read(A[i]);
	for i:=2 to N do begin
		L[i]:=L[i-1];
		if A[i-1]>L[i] then L[i]:=A[i-1];
	end;
	for i:=N-1 downto 1 do begin
		R[i]:=R[i+1];
		if A[i+1]>R[i] then R[i]:=A[i+1];
	end;
	for i:=1 to N do if L[i]>R[i] then writeln(L[i]) else writeln(R[i]);
end.