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 C (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
#include <stdlib.h>

int main (void)
{
	// variables for main process
	unsigned int maxloc_1st;
	unsigned int maxval_1st;
	unsigned int maxval_2nd;
	unsigned int len_sequence;
	unsigned int val_sequence;

	// support variables for main process
	register signed int rtvl;

	// STEP.01
	// read out the given data
	// (the length of the given sequence)
	rtvl = scanf("%d", &len_sequence);

	// STEP.02
	// initialize the variables to calculate the answer of this task
	maxval_1st = 0U;
	maxval_2nd = 0U;

	// STEP.03
	// calculate & output the answer of this task
	for (register unsigned int itr = 0; itr < len_sequence; itr++)
	{
		// STEP.03.01
		// read out the value of the given sequence
		rtvl = scanf("%d", &val_sequence);

		// STEP.03.02
		// update the maximum values of the given sequence
		if (maxval_1st < val_sequence)
		{
			maxval_2nd = maxval_1st;
			maxval_1st = val_sequence;
			maxloc_1st = itr;
		}
		else if (maxval_2nd < val_sequence)
		{ maxval_2nd = val_sequence; }
		else
		{ continue; }
	}

	// STEP.04
	// output the answer of this task
	for (register unsigned int itr = 0; itr < len_sequence; itr++)
	{
		if (itr == maxloc_1st) { printf("%d\n", maxval_2nd); }
		else                   { printf("%d\n", maxval_1st); }
	}

	// STEP.END
	return EXIT_SUCCESS;
}