Problem:
Score : 300 points

Problem Statement

You are given an integer sequence of length n, a_1, ..., a_n.
Let us consider performing the following n operations on an empty sequence b.

The i-th operation is as follows:

Append a_i to the end of b.

Reverse the order of the elements in b.

Find the sequence b obtained after these n operations.

Constraints

1 \leq n \leq 2\times 10^5

0 \leq a_i \leq 10^9

n and a_i are integers.

Input

Input is given from Standard Input in the following format:

n
a_1 a_2 ... a_n

Output

Print n integers in a line with spaces in between.
The i-th integer should be b_i.

Sample Input 1

4
1 2 3 4

Sample Output 1

4 2 1 3

After step 1 of the first operation, b becomes: 1.

After step 2 of the first operation, b becomes: 1.

After step 1 of the second operation, b becomes: 1, 2.

After step 2 of the second operation, b becomes: 2, 1.

After step 1 of the third operation, b becomes: 2, 1, 3.

After step 2 of the third operation, b becomes: 3, 1, 2.

After step 1 of the fourth operation, b becomes: 3, 1, 2, 4.

After step 2 of the fourth operation, b becomes: 4, 2, 1, 3.

Thus, the answer is 4 2 1 3.

Sample Input 2

3
1 2 3

Sample Output 2

3 1 2

As shown above in Sample Output 1, b becomes 3, 1, 2 after step 2 of the third operation. Thus, the answer is 3 1 2.

Sample Input 3

1
1000000000

Sample Output 3

1000000000

Sample Input 4

6
0 6 7 6 7 0

Sample Output 4

0 6 6 0 7 7

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <set>
#include <string>
#include <iostream>
#include <vector>
#include <algorithm>
#include <stack>
#include <queue>
#include <limits>
#include <map>
#include <numeric>
#include <list>
#define ll long long
using namespace std;
static ll imin = std::numeric_limits<ll>::min();
static ll imax = std::numeric_limits<ll>::max();
#define rep(i, n) for(ll i = 0; (i)<(n); ++(i))
#define rep1(i, n) for(ll i = 1; (i)<(n); ++(i))
#define rev_rep(i, n) for(ll i = (n) - 1; (i) >= 0; --(i))
#define range(a, i, b) for(ll i = (a); (i) < (b); ++(i))
#define dump(x) cout << #x << ":" << x << "\n";
#define all(v) v.begin(), v.end()
#define readl(N) ll N; cin >> N
#define readlv(N, vec) vector<ll> vec(N); rep(i, N){cin >> vec[i];}
#define greater_than [](ll l, ll r){return l > r;}
template<class T1, class T2>
std::ostream& operator << (std::ostream& os, std::map<T1, T2>& mp);
template<class T1, class T2>
std::ostream& operator << (std::ostream& os, std::pair<T1, T2>& pair);
template<class T>
std::ostream& operator << (std::ostream& os, std::vector<T>& vec);
template<class T1, class T2>
std::ostream& operator << (std::ostream& os, std::pair<T1, T2>& pair){
  os << '(' << pair.first << ',' << pair.second << ')';
  return os;
}

template<class T>
std::ostream& operator << (std::ostream& os, std::vector<T>& vec){
  std::size_t n = vec.size();
  if(n == 0){
    return os;
  }
  os << " ";
  for(ll i = 0; i<n - 1; ++i){
    os << vec[i] << " ";
  }
  os << vec[n - 1];
  os << std::endl;
  return os;
}

template<class T1, class T2>
std::ostream& operator << (std::ostream& os, std::map<T1, T2>& mp){
  std::size_t n = mp.size();
  if(n == 0){
    return os;
  }
  os << " ";
  for(auto && x:mp){
    os << x << " ";
  }
  os << std::endl;
  return os;
}

template<class T>
std::ostream& operator << (std::ostream& os, std::set<T>& mp){
  std::size_t n = mp.size();
  if(n == 0){
    return os;
  }
  os << " ";
  for(auto && x:mp){
    os << x << " ";
  }
  os << std::endl;
  return os;
}

template<class T> inline bool chmin(T& a, T const b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template<class T> inline bool chmax(T& a, T const b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}

ll fact(ll n){
  ll res=1;
  while(n>=0){
    res*=n;
    n--;
  }
  return res;
}
    
ll pow(ll i, ll n){
  ll res=1;
  while(n>=0){
    res*=i;
    n--;
  }
  return res;
}

ll gcd(ll l, ll r){
  if(l<r){
    return gcd(r, l);
  }
  if(r == 0){
    return l;
  }
  return gcd(r, l % r);
}

template<class T>
vector<T> accum_sum(vector<T> a){
  vector<T> b(a.size() + 1);
  b[0] = a[0];
  rep(i, a.size()){
    b[i + 1] = b[i] + a[i];
  }
  return b;
}

#ifndef BOOST_TEST_MAIN
int main(int const argc, char const** argv){
  readl(n);
  list<ll> a;
  
  bool before;
  if(n % 2){
    before = true;
  }else{
    before = false;
  }
  
  rep(i, n){
    ll x;
    cin >> x;
    if(before){
      a.push_front(x);
    }else{
      a.push_back(x);
    }
    before = !before;
  }
  rep(i, n){
    cout << a.front() << " ";
    a.pop_front();
  }
  cout << endl;
}
#endif