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 Go (1.6) (judge verdict: Accepted)

package main

import (
  "fmt"
  "os"
  "bufio"
  "strconv"
)

func main() {
  sc := bufio.NewScanner(os.Stdin)
  sc.Split(bufio.ScanWords)

  sc.Scan()
  n, _ := strconv.Atoi(sc.Text())

  a := make([]int, n)

  max := 0
  cnt := 0
  for i := 0; i < n; i++ {
    sc.Scan()
    a[i], _ = strconv.Atoi(sc.Text())

    if a[i] > max {
      max = a[i]
      cnt = 1
    } else if a[i] == max {
      cnt++
    }
  }

  for i := 0; i < n; i++ {
    if a[i] == max && cnt == 1 {
      tmp := 0
      for j := 0; j < n; j++ {
        if i != j {
          if a[j] > tmp {
            tmp = a[j]
          }
        }
      }
      fmt.Println(tmp)
    } else {
      fmt.Println(max)
    }
  }
}