Problem: A sequence of square brackets is regular if by inserting symbols "+" and "1" into it, you can get a regular mathematical expression from it. For example, sequences "[[]][]", "[]" and "[[][[]]]" — are regular, at the same time "][", "[[]" and "[[]]][" — are irregular. 

Draw the given sequence using a minimalistic pseudographics in the strip of the lowest possible height — use symbols '+', '-' and '|'. For example, the sequence "[[][]][]" should be represented as: 
    
    
      
    +-        -++- -+      
    |+- -++- -+||   |  
    ||   ||   |||   |  
    |+- -++- -+||   |  
    +-        -++- -+  
    

Each bracket should be represented with the hepl of one or more symbols '|' (the vertical part) and symbols '+' and '-' as on the example which is given above.

Brackets should be drawn without spaces one by one, only dividing pairs of consecutive pairwise brackets with a single-space bar (so that the two brackets do not visually merge into one symbol). The image should have the minimum possible height. 

The enclosed bracket is always smaller than the surrounding bracket, but each bracket separately strives to maximize the height of the image. So the pair of final brackets in the example above occupies the entire height of the image.

Study carefully the examples below, they adequately explain the condition of the problem. Pay attention that in this problem the answer (the image) is unique. 

Input

The first line contains an even integer n (2 ≤ n ≤ 100) — the length of the sequence of brackets.

The second line contains the sequence of brackets — these are n symbols "[" and "]". It is guaranteed that the given sequence of brackets is regular. 

Output

Print the drawn bracket sequence in the format which is given in the condition. Don't print extra (unnecessary) spaces. 

Examples

Input

8
[[][]][]


Output

+-        -++- -+
|+- -++- -+||   |
||   ||   |||   |
|+- -++- -+||   |
+-        -++- -+


Input

6
[[[]]]


Output

+-     -+
|+-   -+|
||+- -+||
|||   |||
||+- -+||
|+-   -+|
+-     -+


Input

6
[[][]]


Output

+-        -+
|+- -++- -+|
||   ||   ||
|+- -++- -+|
+-        -+


Input

2
[]


Output

+- -+
|   |
+- -+


Input

4
[][]


Output

+- -++- -+
|   ||   |
+- -++- -+

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
namespace std {
template <typename _Key, typename _Hash = std::hash<_Key>>
using hash_set = std::unordered_set<_Key, _Hash>;
template <typename _Key, typename _Hash = std::hash<_Key>>
using hash_mset = std::unordered_multiset<_Key, _Hash>;
template <typename _Key, typename _Val, typename _Hash = std::hash<_Key>>
using hash_map = std::unordered_map<_Key, _Val, _Hash>;
template <typename _Key, typename _Hash = std::hash<_Key>>
using hash_mmap = std::unordered_multimap<_Key, _Hash>;
template <typename _Key, typename _Cmp = std::less<_Key>>
using mset = std::multiset<_Key, _Cmp>;
template <typename _Key, typename _Val, typename _Cmp = std::less<_Key>>
using mmap = std::multimap<_Key, _Val, _Cmp>;
template <typename _Key>
using rset = std::set<_Key, std::greater<_Key>>;
template <typename _Key>
using rmset = std::multiset<_Key, std::greater<_Key>>;
template <typename _Key, typename _Val>
using rmap = std::map<_Key, std::greater<_Key>>;
template <typename _Key, typename _Val>
using rmmap = std::multimap<_Key, _Val, std::greater<_Key>>;
static std::ostream& fdeb = cerr;
struct NullOstream {};
template <typename T>
NullOstream& operator<<(NullOstream& out, const T&) {
  return out;
}
NullOstream& operator<<(NullOstream& out, std::ostream& (*)(std::ostream&)) {
  return out;
}
static NullOstream deb;
static NullOstream debl;
template <int _Ind, typename... _Args>
struct __TuplePrinter {
  static void print(ostream& out, const tuple<_Args...>& t) {
    __TuplePrinter<_Ind - 1, _Args...>::print(out, t);
    out << ' ' << get<_Ind>(t);
  }
};
template <typename... _Args>
struct __TuplePrinter<0, _Args...> {
  static void print(ostream& out, const tuple<_Args...>& t) {
    out << '(' << get<0>(t);
  }
};
template <typename... _Args>
ostream& operator<<(ostream& out, const tuple<_Args...>& t) {
  __TuplePrinter<sizeof...(_Args) - 1, _Args...>::print(out, t);
  out << ')';
  return out;
}
template <typename _T1, typename _T2>
ostream& operator<<(ostream& out, const pair<_T1, _T2>& p) {
  return out << '(' << p.first << ' ' << p.second << ')';
}
using uchar = unsigned char;
using ushort = unsigned short;
using uint = unsigned int;
using lld = long long;
using ulld = unsigned long long;
static const int MOD = 1e9 + 7;
static const int INF = MOD;
static const lld HASHP = 37;
}  // namespace std
using namespace std;
struct BraceInfo {
  char s;
  int x;
  int d = 0;
};
int main() {
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  int N;
  std::cin >> N;
  std::cin >> std::ws;
  std::vector<BraceInfo> braces(N);
  int maxDepth = 0;
  int currentDepth = 0;
  int currentX = 0;
  for (int i = 0; i < N; ++i) {
    auto& binfo = braces[i];
    binfo.s = std::cin.get();
    binfo.x = currentX++;
    if (binfo.s == ']') {
      if (braces[i - 1].s == '[') {
        binfo.x = (currentX += 2);
        ++currentX;
      }
      binfo.d = --currentDepth;
    } else {
      binfo.d = currentDepth++;
    }
    maxDepth = std::max(maxDepth, currentDepth);
  }
  for (const auto& v : braces) {
    deb << v.x;
  }
  debl;
  int maxH = (maxDepth - 1) * 2 + 3;
  debl << maxH;
  for (int ry = 0; ry < maxH; ++ry) {
    int y = std::min(ry, maxH - ry - 1);
    debl << ry << y;
    int bindex = 0;
    for (int x = 0; x <= braces.back().x; ++x) {
      const auto& cbrace = braces[bindex];
      deb << cbrace.x << x << y;
      if (cbrace.x != x || y < cbrace.d) {
        const BraceInfo* pbrace = (bindex > 0 ? &braces[bindex - 1] : nullptr);
        const BraceInfo* nbrace =
            (bindex + 1 < braces.size() ? &braces[bindex + 1] : nullptr);
        if (pbrace && pbrace->x == x - 1 && pbrace->d == y &&
            pbrace->s == '[') {
          std::cout.put('-');
        } else if (nbrace && nbrace->x == x + 1 && nbrace->d == y &&
                   nbrace->s == ']') {
          std::cout.put('-');
        } else if (pbrace && pbrace->s == '[' && cbrace.s == ']' &&
                   cbrace.d == y && cbrace.x == x + 1) {
          std::cout.put('-');
        } else {
          std::cout.put(' ');
        }
      } else if (y == cbrace.d) {
        std::cout.put('+');
      } else {
        std::cout.put('|');
      }
      if (cbrace.x == x) {
        ++bindex;
      }
    }
    std::cout << '\n';
  }
  std::cout << std::flush;
  return 0;
}