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 (
	"bufio"
	"fmt"
	"os"
)

var sc = bufio.NewScanner(os.Stdin)

const inf = 1 << 60
const mod int = 1e9 + 7

func ri() (n int) {
	sc.Scan()
	for _, v := range sc.Bytes() {
		n = n*10 + int(v-48)
	}
	return
}

func maxAndSec(a []int) (int, int) {
	max, sec := -1, -1
	for _, i := range a {
		if max <= i {
			max, sec = i, max
		} else if sec < i {
			sec = i
		}
	}
	return max, sec
}

func main() {
	sc.Split(bufio.ScanWords)
	n := ri()

	a := make([]int, n)
	for i := 0; i < n; i++ {
		a[i] = ri()
	}

	// fmt.Println(a)

	mx, sec := maxAndSec(a)

	ctMx := 0
	for _, aa := range a {
		if aa == mx {
			ctMx++
		}
	}

	// fmt.Println(mx, ctMx)

	if ctMx > 1 {
		for i := 0; i < n; i++ {
			fmt.Println(mx)
		}
		return
	} else { // ctMx == 1
		for _, aa := range a {
			if aa == mx {
				fmt.Println(sec)
			} else {
				fmt.Println(mx)
			}
		}
	}
}