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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <cmath>
#include <numeric>
#include <iostream>
#include <sstream>
#include <string>
#include <algorithm>
#include <vector>
#include <map>
#include <queue>
#include <stack>
#include <deque>
#include <list>
#include <unordered_map>
#include <tuple>
#include <complex>


#define FOR(i, a, b)		for(int i = (int)(a); i < (int)(b); ++i)
#define FORE(i, a, b)		for(int i = (int)(a); i <= (int)(b); ++i)
#define REP(i, n)			FOR(i, 0, n)
#define REPE(i, n)			FORE(i, 0, n)
#define ALL(x)				(x).begin(),(x).end()
#define DEBUG_DC(x)			cout << #x << ": " << x << endl
#define VEC_TYPE			int
#define INF					1e5+1

using namespace std;
typedef long long ll;
typedef vector<VEC_TYPE> vdef;
typedef vector<vdef> vvdef;
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmaxE(T& a, T b) { if (a <= b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
template<class T> inline bool chminE(T& a, T b) { if (a >= b) { a = b; return 1; } return 0; }
template<typename T> inline T mygcd(T a, T b) { return b ? mygcd(b, a%b) : a; }
template<typename T> inline T mylcm(T a, T b) { return a * b / mygcd(a, b); }

int main()
{
	int ans = 0;
	int n;
	cin >> n;
	vdef a(n, 0);
	vdef b(n, 0);
	for (int i = 0; i < n; ++i) cin >> a[i];

	b = a;
	sort(ALL(b));
	int max1 = b[n - 1];
	int max2 = b[n - 2];
	for (int i = 0; i < n; ++i)
	{
		if (a[i] != max1) cout << max1 << endl;
		else  cout << max2 << endl;
	}

	//cout << ans << endl;
	return 0;
}