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: Wrong Answer)

function Main(input) {
  var dataList = input.split("\n");
  dataList.shift();
  dataList.pop();
  for (var i = 0; i < dataList.length; i++) {
    dataList[i] = Number(dataList[i]);
  }
  for (var i = 0; i < dataList.length; i++) {
    console.log(gatMax(dataList[i]));
  }
  function gatMax(exclude) {
    var max = 0;
    for (var i = 0; i < dataList.length; i++) {
      if (i === 0) max = dataList[i];
      if (dataList[i] == exclude) continue;
      if (dataList[i] > max) max = dataList[i];
    }  
    return max;
  }  
}

//*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"));