Practice Strings and Numbers with the exercise "Cistercian addition"

Learning Opportunities

This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

Statement

Goal

You simply need to provide the result of an addition between two numbers.

However, these numbers are given in the form of the Cistercian numeral system! (https://en.wikipedia.org/wiki/Cistercian_numerals)
This system allows you to encode numbers from 1 to 9999 using a single symbol.

The result of this addition must also be in Cistercian notation.

Those symbols are used to build the visual representation of Cistercian numbers : space, _, ‾, |, /, \
Be aware that the ‾ is not an ASCII character, it's an overline (U+203E → https://en.wikipedia.org/wiki/Overline)

Basic symbols:

┌─────┬─────┬─────┬─────┬─────┬─────┬─────┬─────┬─────┐
│   _ │     │     │     │   _ │     │   _ │     │   _ │
│  |  │  |_ │  |\ │  |/ │  |/ │  | |│  | |│  |_|│  |_|│
│  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │
│  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │
│     │     │     │     │     │     │     │     │     │
│  1  │  2  │  3  │  4  │  5  │  6  │  7  │  8  │  9  │
├─────┼─────┼─────┼─────┼─────┼─────┼─────┼─────┼─────┤
│ _   │     │     │     │ _   │     │ _   │     │ _   │
│  |  │ _|  │ /|  │ \|  │ \|  │| |  │| |  │|_|  │|_|  │
│  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │
│  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │
│     │     │     │     │     │     │     │     │     │
│  10 │  20 │  30 │  40 │  50 │  60 │  70 │  80 │  90 │
├─────┼─────┼─────┼─────┼─────┼─────┼─────┼─────┼─────┤
│     │     │     │     │     │     │     │     │     │
│  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │
│  |  │  |_ │  |  │  |  │  |  │  |  │  |  │  |_ │  |_ │
│  |_ │  |  │  |/ │  |\ │  |\ │  | |│  |_|│  | |│  |_|│
│     │     │     │     │   ‾ │     │     │     │     │
│ 100 │ 200 │ 300 │ 400 │ 500 │ 600 │ 700 │ 800 │ 900 │
├─────┼─────┼─────┼─────┼─────┼─────┼─────┼─────┼─────┤
│     │     │     │     │     │     │     │     │     │
│  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │  |  │
│  |  │ _|  │  |  │  |  │  |  │  |  │  |  │ _|  │ _|  │
│ _|  │  |  │ \|  │ /|  │ /|  │| |  │|_|  │| |  │|_|  │
│     │     │     │     │ ‾   │     │     │     │     │
│ 1000│ 2000│ 3000│ 4000│ 5000│ 6000│ 7000│ 8000│ 9000│
└─────┴─────┴─────┴─────┴─────┴─────┴─────┴─────┴─────┘

Some examples:

┌─────┬─────┬─────┬─────┬─────┐
│ _   │     │ _ _ │   _ │     │
│|_|\ │ _|\ │ \|_|│|_|/ │ /|\ │
│  |_ │  |  │  |_ │  |  │ _|  │
│ _|_|│ /|_|│| | |│|_|  │|_|\ │
│     │     │     │     │     │
│ 1993│ 4723│ 6859│ 7085│ 9433│
└─────┴─────┴─────┴─────┴─────┘

Input

First 5 lines: A loop of 5 strings of 5 characters, visually forming the Cistercian numeral a.
Next 5 lines: A loop of 5 strings of 5 characters, visually forming the Cistercian numeral b.
List of different characters that can be found in a line: space, _, ‾, |, /, \

Output

5 lines: The result of the addition between a and b displayed in Cistercian numerals. Each line should contain 5 characters.

Constraints

1 ≤ a, b ≤ 9998
2 ≤ a + b ≤ 9999

Example

Input

   _ 
  |/ 
  |  
  |  
     
   _ 
  |_|
  |  
  |

Output

 _   
  |/ 
  |  
  |

Solve it

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