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: Accepted)

// inputに入力データ全体が入る
function Main(input) {
	// 1行目がinput[0], 2行目がinput[1], …に入る
	inputs = input.split("\n");

	var N = parseInt( inputs[0], 10 );
	var max2 = [ 0, 0 ];
	for ( var i = 1; i <= N; i++ ){
		var tmp = parseInt( inputs[i], 10 );
		if ( i == 1 ) {
			max2[0] = tmp;
		} else if ( i == 2 ) {
			if ( tmp >= max2[0] ){
				max2[1] = max2[0];
				max2[0] = tmp;
			} else {
				max2[1] = tmp;
			}
		} else {
			if ( tmp >= max2[0] ) {
				max2[1] = max2[0];
				max2[0] = tmp;
			} else if ( tmp >= max2[1] ) {
				max2[1] = tmp;
			}
		}
	}

	for ( var i = 1; i <= N; i++ ){
		var tmp = parseInt( inputs[i], 10 );
		console.log('%d', tmp == max2[0] ? max2[1] : max2[0]);
	}

}
//*この行以降は編集しないでください（標準入出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"));