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 JavaScript (node.js v5.12) (judge verdict: Time Limit Exceeded)

// inputに入力データ全体が入る
function Main(input) {
	input = input.split("\n"); // 1行目がinput[0], 2行目がinput[1], …に入る
    // ここに処理を書く
    var N = input[0]
    var array = []
    
    for (var i = 1; i <= input.length-1; i++) {
        array.push(input[i]);
     }
    
     for (var i = 0; i < N; i++) {
        var arr = array.slice();
        arr.splice(i, 1);
        console.log(arr.slice(0).sort(function(a, b) {return b - a;})[0])
     }	
}

// ※この行以降は編集しない (標準入力から一度に読み込みMainを呼び出します)
Main(require("fs").readFileSync("/dev/stdin", "utf8"));