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 PyPy3 (7.3.0) (judge verdict: Accepted)

from sys import stdin
import sys
import math
from functools import reduce
import functools
import itertools
from collections import deque,Counter,defaultdict
from operator import mul
import copy
# ! /usr/bin/env python
# -*- coding: utf-8 -*-
import heapq
sys.setrecursionlimit(10**6)
# INF =  float("inf")
INF = 10**18
import bisect
import statistics
mod = 10**9+7
# mod = 998244353

N = int(input())

A = []
for i in range(N):
    A.append(-int(input()))

B = copy.deepcopy(A)
heapq.heapify(B)

for i in range(N):
    b = heapq.heappop(B)
    if b == A[i]:
        c = b
        b = heapq.heappop(B)
        heapq.heappush(B,c)
    heapq.heappush(B,b)
    print(-b)