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 provides
//
// File:  main.go
// Author: ymiyamoto
//
// Created on Sat Jul 20 21:12:29 2019
//
package main

import (
	"fmt"
	"sort"
)

func main() {
	var n int
	fmt.Scan(&n)

	arr := make([]int, n)
	m := map[int]int{}
	for i := range arr {
		fmt.Scan(&arr[i])
		m[arr[i]]++
	}

	var nums []int
	for k := range m {
		nums = append(nums, k)
	}
	sort.Ints(nums)
	max := nums[len(nums)-1]
	for i := range arr {
		if arr[i] != max {
			fmt.Println(max)
		} else {
			if m[arr[i]] > 1 {
				fmt.Println(max)
			} else {
				fmt.Println(nums[len(nums)-2])
			}
		}
	}
}