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>
#include <boost/multiprecision/cpp_int.hpp>

#define repd(i, a, b) for (ll i = (a); i < (b); i++)
#define rep(i, n) repd(i, 0, n)

using namespace std;

namespace mp = boost::multiprecision;
using Bint = mp::cpp_int;

using ll = long long;
ll mod = pow(10, 9) + 7;

template <typename T> void output(T, ll);
ll gcd(ll, ll);
ll lcm(ll, ll);
Bint comb(Bint, Bint);
void prime_map(map<ll, ll> &, ll);

int main() {
    // source
    int n;
    cin >> n;
    int a[n];
    rep(i, n) { cin >> a[i]; }

    int index_0 = 0, index_1 = 0;
    int num_0 = 0, num_1 = 0;

    rep(i, n) {
        if (a[i] >= num_0) {
            num_0 = a[i];
            index_0 = i;
        }
    }
    rep(i, n) {
        if (i == index_0) {
            continue;
        }
        if (a[i] >= num_1) {
            num_1 = a[i];
            index_1 = i;
        }
    }

    rep(i, n) {
        if (i != index_0) {
            cout << num_0 << endl;
        } else {
            cout << num_1 << endl;
        }
    }
    return 0;
}

Bint comb(Bint a, Bint b) {
    Bint ans = 1;

    if (a < b) {
        return 0;
    }

    rep(i, b) {
        ans *= a - i;
        ans /= i + 1;
    }

    return ans;
}

template <typename T> void output(T a, int precision) {
    if (precision > 0) {
        cout << setprecision(precision) << a << "\n";
    } else {
        cout << a << "\n";
    }
}

template <typename T> T min(T a, T b) {

    if (a < b) {
        return a;
    } else {
        return b;
    }
}

ll gcd(ll a, ll b) {
    if (b == 0) {
        return a;
    }
    return gcd(b, a % b);
}

ll lcm(ll a, ll b) { return a * b / gcd(a, b); }

void prime_map(map<ll, ll> &m, ll num) {
    ll cache = num;
    repd(i, 2, sqrt(num) + 2) {
        if (num % i == 0) {
            if (m[i] == 0) {
                m[i] = 1;
            } else {
                m[i]++;
            }

            num /= i;
            break;
        }
    }

    if (cache == num) {
        if (m[num] == 0) {
            m[num] = 1;
        } else {
            m[num]++;
        }
        return;
    } else {
        prime_map(m, num);
    }
}