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 <bits/stdc++.h>

using namespace std;

typedef pair<int, int> P;
typedef long long ll;
#define rep(i, n) for(int i=0;i<n;i++)
#define rep2(i, m, n) for(int i=m;i<n;i++)
#define rrep(i, n, m) for(int i=n;i>=m;i--)
using Graph = vector<vector<int>>;
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
const ll MOD = 1000000007;
#ifdef __DEBUG

#include "cpp-pyprint/pyprint.h"

#endif

void Main() {
    int N;
    cin >> N;
    vector<int> A;
    for (int i = 0; i < N; ++i) {
        int a;
        cin >> a;
        A.push_back(a);
    }
    vector<int> B;
    copy(A.begin(), A.end(), back_inserter(B));
    sort(B.begin(), B.end());

    for (int j = 0; j < N; ++j) {
        if (A[j] != B[N-1]) {
            cout << B[N-1] << endl;
        } else {
            cout << B[N-2] << endl;
        }
    }

}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    Main();
}