# Task

The function `fold_cube(number_list)` should return a boolean based on a net (given as a number list), if the net can fold into a cube. 
Your code must be effecient and complete the tests within 500ms. 

## Input

Imagine a net such as the one below.

```
@
@ @ @ @
    @
```
Then, put it on the table with each `@` being one cell.

```
--------------------------
|  1 |  2 |  3 |  4 |  5 |
--------------------------
|  6 |  7 |  8 |  9 | 10 |
--------------------------
| 11 | 12 | 13 | 14 | 15 |
--------------------------
| 16 | 17 | 18 | 19 | 20 |
--------------------------
| 21 | 22 | 23 | 24 | 25 |
--------------------------
```
The number list for a net will be the numbers the net falls on when placed on the table. Note that the numbers in the list won't always be in order. The position of the net can be anywhere on the table, it can also be rotated.

For the example above, a possible number list will be `[1, 7, 8, 6, 9, 13]`.

## Output

`fold_cube` should return `True` if the net can be folded into a cube. `False` if not.

---

# Examples

### Example 1:

`number_list` = `[24, 20, 14, 19, 18, 9]`

Shape and rotation of net:
```
  @
  @
@ @ @
  @
```
Displayed on the table:
```
--------------------------
|  1 |  2 |  3 |  4 |  5 |
--------------------------
|  6 |  7 |  8 |  @ | 10 |
--------------------------
| 11 | 12 | 13 |  @ | 15 |
--------------------------
| 16 | 17 |  @ |  @ |  @ |
--------------------------
| 21 | 22 | 23 |  @ | 25 |
--------------------------
```
So, `fold_cube([24, 20, 14, 19, 18, 9])` should return `True`.

### Example 2:

`number_list` = `[1, 7, 6, 17, 12, 16]`

Shape and rotation of net:
```
@
@ @
  @ 
@ @
```
Displayed on the table:
```
--------------------------
|  @ |  2 |  3 |  4 |  5 |
--------------------------
|  @ |  @ |  8 |  9 | 10 |
--------------------------
| 11 |  @ | 13 | 14 | 15 |
--------------------------
|  @ |  @ | 18 | 19 | 20 |
--------------------------
| 21 | 22 | 23 | 24 | 25 |
--------------------------
```
`fold_cube([1, 7, 6, 17, 12, 16])` should return `False`.

#### *Translations appreciated!!*

---

### If you liked this kata.... check out these!             
- [Folding a 4D Cube (Tesseract)](https://www.codewars.com/kata/5f3b561bc4a71f000f191ef7)  
- [Wraping a net around a cube](https://www.codewars.com/kata/5f4af9c169f1cd0001ae764d)

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = "db = [{9, 14, 18, 19, 20, 24}, {13, 14, 15, 16, 17, 18}, {2, 3, 8, 9, 10, 13}, {3, 6, 7, 8, 9, 12}, {4, 7, 8, 9, 10, 14}, {4, 6, 7, 8, 9, 13}, {8, 9, 13, 17, 18, 23}, {5, 10, 14, 15, 19, 24}, {3, 8, 12, 13, 18, 19}, {8, 12, 13, 14, 18, 23}, {7, 11, 12, 13, 17, 22}, {8, 13, 17, 18, 23, 24}, {8, 12, 13, 14, 18, 23}, {3, 8, 12, 13, 18, 19}, {13, 16, 17, 18, 19, 23}, {4, 9, 13, 14, 15, 19}, {2, 7, 8, 11, 12, 16}, {1, 6, 7, 8, 13, 14}, {13, 17, 18, 19, 20, 22}, {8, 12, 13, 14, 15, 18}, {15, 17, 18, 19, 20, 23}, {3, 6, 7, 8, 9, 12}, {8, 13, 17, 18, 19, 24}, {3, 4, 8, 13, 17, 18}, {6, 11, 12, 13, 14, 18}, {8, 12, 13, 18, 19, 24}, {2, 7, 8, 9, 10, 14}, {15, 17, 18, 19, 20, 25}, {10, 14, 15, 18, 19, 24}, {15, 17, 18, 19, 20, 24}, {11, 16, 17, 18, 19, 23}, {4, 8, 9, 14, 15, 19}, {5, 8, 9, 10, 14, 19}, {9, 13, 14, 19, 20, 24}, {8, 13, 14, 19, 20, 24}, {11, 16, 17, 18, 19, 22}, {2, 6, 7, 8, 13, 14}, {8, 12, 13, 18, 19, 23}, {8, 9, 14, 15, 19, 24}, {9, 13, 14, 19, 20, 24}, {3, 8, 12, 13, 14, 18}, {7, 12, 13, 17, 21, 22}, {7, 12, 16, 17, 18, 23}, {1, 2, 3, 7, 12, 17}, {9, 14, 18, 19, 24, 25}, {9, 11, 12, 13, 14, 16}, {14, 17, 18, 19, 20, 24}, {4, 9, 13, 14, 19, 20}, {2, 7, 8, 9, 14, 15}, {2, 3, 8, 9, 10, 13}, {6, 11, 12, 13, 17, 22}, {12, 16, 17, 18, 23, 24}, {7, 12, 16, 17, 18, 21}, {13, 14, 17, 18, 21, 22}, {4, 6, 7, 8, 9, 12}, {12, 17, 18, 19, 21, 22}, {8, 13, 18, 19, 22, 23}, {7, 12, 13, 18, 19, 23}, {1, 2, 7, 8, 9, 12}, {9, 14, 19, 20, 23, 24}, {11, 16, 17, 18, 19, 21}, {8, 13, 14, 17, 18, 23}, {9, 14, 15, 19, 23, 24}, {7, 12, 13, 14, 15, 19}, {6, 11, 12, 13, 17, 22}, {2, 6, 7, 8, 12, 17}, {3, 6, 7, 8, 9, 13}, {4, 5, 7, 8, 9, 12}, {3, 8, 9, 12, 13, 17}, {2, 3, 8, 9, 10, 15}, {6, 11, 12, 17, 22, 23}, {13, 17, 18, 19, 20, 24}, {8, 9, 14, 15, 19, 24}, {6, 7, 12, 13, 17, 22}, {9, 13, 14, 15, 17, 18}, {7, 12, 16, 17, 18, 22}, {8, 9, 14, 15, 19, 24}, {4, 9, 10, 14, 18, 19}, {8, 12, 13, 18, 19, 24}, {3, 4, 9, 10, 14, 19}, {8, 13, 14, 19, 24, 25}, {7, 12, 16, 17, 22, 23}, {8, 11, 12, 13, 17, 22}, {7, 12, 16, 17, 18, 22}, {2, 6, 7, 8, 13, 14}, {3, 4, 6, 7, 8, 12}, {3, 8, 9, 10, 14, 19}, {8, 13, 14, 15, 19, 24}, {4, 8, 9, 10, 12, 13}, {8, 13, 17, 18, 19, 23}, {2, 6, 7, 8, 9, 13}, {13, 16, 17, 18, 19, 23}, {3, 8, 12, 13, 14, 17}, {3, 7, 8, 9, 13, 18}, {9, 14, 15, 18, 19, 24}, {3, 6, 7, 8, 9, 12}, {11, 16, 17, 18, 19, 23}, {8, 9, 11, 12, 13, 18}, {7, 12, 13, 14, 15, 19}, {10, 12, 13, 14, 15, 18}, {8, 13, 17, 18, 23, 24}, {4, 9, 13, 14, 15, 19}, {13, 16, 17, 18, 23, 24}, {1, 2, 3, 7, 12, 17}, {9, 12, 13, 14, 15, 17}, {4, 9, 10, 14, 18, 19}, {12, 13, 18, 19, 24, 25}, {2, 7, 11, 12, 17, 18}, {2, 6, 7, 12, 13, 17}, {3, 7, 8, 9, 10, 13}, {1, 6, 7, 8, 9, 14}, {2, 7, 8, 9, 10, 12}, {3, 7, 8, 9, 10, 13}, {3, 7, 8, 13, 14, 19}, {5, 9, 10, 13, 14, 19}, {8, 13, 14, 17, 18, 23}, {4, 8, 9, 14, 15, 19}, {4, 8, 9, 14, 19, 20}, {3, 7, 8, 13, 14, 19}, {1, 2, 7, 8, 9, 12}, {7, 8, 13, 14, 19, 20}, {14, 15, 17, 18, 19, 23}, {8, 11, 12, 13, 17, 22}, {4, 8, 9, 12, 13, 18}, {4, 8, 9, 14, 19, 20}, {4, 9, 13, 14, 15, 18}, {7, 12, 13, 14, 15, 17}, {2, 7, 8, 11, 12, 16}, {1, 6, 7, 8, 9, 13}, {15, 17, 18, 19, 20, 24}, {8, 9, 10, 11, 12, 13}, {12, 16, 17, 18, 19, 21}, {9, 14, 18, 19, 20, 25}, {3, 4, 8, 12, 13, 18}, {9, 12, 13, 14, 15, 17}, {6, 7, 12, 13, 17, 22}, {10, 14, 15, 18, 19, 24}, {2, 3, 6, 7, 12, 17}, {4, 9, 13, 14, 15, 19}, {2, 7, 8, 9, 13, 18}, {3, 8, 13, 14, 17, 18}, {9, 10, 13, 14, 19, 24}, {3, 8, 9, 12, 13, 18}, {8, 12, 13, 14, 15, 18}, {14, 15, 18, 19, 22, 23}, {12, 16, 17, 18, 19, 21}, {7, 11, 12, 17, 18, 22}, {3, 6, 7, 8, 9, 11}, {7, 8, 12, 16, 17, 22}, {9, 13, 14, 15, 17, 18}, {6, 11, 12, 13, 14, 17}, {13, 17, 18, 19, 21, 22}, {12, 16, 17, 18, 19, 24}, {6, 11, 12, 13, 14, 18}, {14, 16, 17, 18, 19, 23}, {3, 7, 8, 9, 10, 13}, {4, 6, 7, 8, 9, 13}, {9, 12, 13, 14, 15, 20}, {2, 3, 6, 7, 12, 17}, {12, 13, 18, 19, 20, 23}, {8, 9, 10, 11, 12, 13}, {8, 13, 14, 17, 18, 23}, {4, 6, 7, 8, 9, 14}, {9, 12, 13, 14, 15, 19}, {3, 7, 8, 9, 11, 12}, {3, 8, 9, 12, 13, 18}, {9, 14, 15, 18, 19, 23}, {8, 12, 13, 14, 15, 18}, {3, 4, 9, 14, 15, 19}, {4, 8, 9, 14, 15, 20}, {7, 11, 12, 13, 14, 18}, {4, 9, 14, 18, 19, 20}, {2, 6, 7, 12, 13, 18}, {13, 16, 17, 18, 19, 23}, {9, 14, 19, 23, 24, 25}, {6, 11, 12, 13, 14, 18}, {7, 12, 16, 17, 18, 23}, {10, 12, 13, 14, 15, 19}, {4, 8, 9, 10, 14, 19}, {13, 16, 17, 18, 19, 22}, {4, 7, 8, 9, 10, 13}, {14, 17, 18, 19, 20, 23}, {12, 17, 18, 19, 20, 23}, {16, 17, 18, 23, 24, 25}, {8, 11, 12, 13, 14, 18}, {3, 8, 12, 13, 14, 18}, {9, 12, 13, 14, 15, 18}, {9, 13, 14, 19, 20, 25}, {7, 12, 13, 14, 15, 20}, {11, 12, 13, 18, 19, 20}, {7, 8, 13, 14, 18, 23}, {3, 6, 7, 8, 9, 12}, {10, 13, 14, 15, 17, 18}, {6, 7, 12, 13, 17, 22}, {4, 7, 8, 9, 10, 15}, {10, 13, 14, 15, 19, 24}, {8, 9, 11, 12, 13, 16}, {8, 12, 13, 14, 15, 20}, {11, 16, 17, 18, 19, 24}, {2, 7, 8, 9, 10, 12}, {13, 16, 17, 18, 19, 23}, {9, 12, 13, 14, 15, 19}, {4, 6, 7, 8, 9, 12}, {12, 16, 17, 18, 19, 22}, {2, 7, 11, 12, 13, 18}, {14, 15, 17, 18, 19, 22}, {3, 7, 8, 13, 18, 19}, {9, 11, 12, 13, 14, 16}, {9, 10, 12, 13, 14, 17}, {8, 12, 13, 14, 15, 18}, {12, 17, 18, 19, 20, 25}, {4, 7, 8, 9, 10, 14}, {8, 13, 18, 19, 22, 23}, {7, 8, 13, 14, 15, 20}, {12, 16, 17, 18, 19, 23}, {4, 7, 8, 9, 10, 15}, {1, 2, 7, 12, 17, 18}, {3, 7, 8, 13, 14, 18}, {4, 8, 9, 14, 15, 20}, {8, 12, 13, 14, 16, 17}, {4, 7, 8, 9, 10, 14}, {6, 7, 12, 13, 14, 19}, {12, 17, 18, 19, 20, 23}, {14, 17, 18, 19, 20, 23}, {8, 12, 13, 18, 19, 24}, {8, 12, 13, 18, 23, 24}, {8, 12, 13, 14, 15, 19}, {4, 5, 8, 9, 12, 13}, {6, 11, 12, 13, 17, 22}, {7, 11, 12, 13, 14, 19}, {8, 13, 17, 18, 19, 24}, {13, 16, 17, 18, 19, 23}, {2, 6, 7, 8, 12, 17}, {7, 12, 16, 17, 18, 22}, {14, 17, 18, 19, 20, 23}, {4, 8, 9, 10, 14, 19}, {6, 11, 12, 13, 14, 18}, {5, 8, 9, 10, 14, 19}, {9, 14, 18, 19, 20, 24}, {9, 13, 14, 15, 17, 18}, {6, 11, 12, 17, 18, 22}, {7, 11, 12, 17, 22, 23}, {7, 11, 12, 13, 14, 18}, {10, 13, 14, 15, 19, 24}, {12, 13, 18, 19, 20, 23}, {13, 16, 17, 18, 23, 24}, {8, 13, 17, 18, 19, 22}, {12, 16, 17, 18, 19, 23}, {11, 16, 17, 18, 19, 22}, {13, 16, 17, 18, 19, 23}, {14, 15, 17, 18, 19, 23}, {14, 17, 18, 19, 20, 24}, {6, 7, 12, 17, 22, 23}, {8, 11, 12, 13, 18, 19}, {8, 9, 11, 12, 13, 18}, {8, 13, 18, 19, 22, 23}, {18, 19, 20, 21, 22, 23}, {7, 12, 13, 14, 16, 17}, {7, 12, 16, 17, 18, 22}, {3, 4, 6, 7, 8, 13}, {2, 7, 8, 9, 10, 14}, {3, 8, 12, 13, 18, 19}, {9, 11, 12, 13, 14, 17}, {9, 13, 14, 17, 18, 23}, {7, 11, 12, 13, 18, 19}, {9, 11, 12, 13, 14, 16}, {10, 12, 13, 14, 15, 20}, {2, 7, 11, 12, 13, 16}, {14, 17, 18, 19, 20, 22}, {8, 12, 13, 14, 15, 18}, {15, 17, 18, 19, 20, 24}, {13, 17, 18, 19, 24, 25}, {12, 17, 18, 19, 20, 22}, {4, 5, 7, 8, 9, 14}, {9, 14, 18, 19, 24, 25}, {2, 7, 8, 11, 12, 17}, {12, 17, 18, 19, 20, 23}, {3, 8, 9, 13, 17, 18}, {6, 7, 12, 13, 14, 19}, {9, 14, 15, 18, 19, 24}, {10, 14, 15, 18, 19, 23}, {7, 12, 16, 17, 18, 22}, {12, 16, 17, 18, 19, 22}, {15, 17, 18, 19, 20, 22}, {3, 8, 13, 14, 17, 18}, {4, 8, 9, 12, 13, 18}, {7, 11, 12, 13, 18, 19}, {8, 11, 12, 13, 14, 17}, {7, 12, 16, 17, 18, 22}, {14, 17, 18, 19, 21, 22}, {1, 2, 7, 8, 13, 14}, {12, 16, 17, 18, 19, 23}, {2, 6, 7, 8, 9, 12}, {7, 11, 12, 13, 14, 19}, {5, 7, 8, 9, 10, 12}, {5, 7, 8, 9, 10, 15}, {4, 7, 8, 9, 14, 15}, {9, 12, 13, 14, 19, 20}, {3, 4, 9, 14, 15, 19}, {8, 13, 14, 17, 18, 23}, {2, 7, 8, 11, 12, 17}, {2, 7, 8, 13, 18, 19}, {8, 12, 13, 14, 18, 23}, {5, 10, 14, 15, 19, 24}, {4, 7, 8, 9, 10, 15}, {14, 15, 17, 18, 19, 23}, {8, 9, 14, 15, 19, 24}, {3, 7, 8, 9, 10, 13}, {9, 14, 15, 18, 19, 24}, {5, 7, 8, 9, 10, 15}, {7, 12, 17, 21, 22, 23}, {3, 8, 9, 14, 15, 20}, {12, 13, 18, 19, 20, 24}, {8, 13, 17, 18, 19, 23}, {7, 12, 13, 14, 16, 17}, {9, 13, 14, 19, 24, 25}, {8, 12, 13, 14, 16, 17}, {4, 9, 13, 14, 15, 18}, {1, 2, 7, 8, 12, 17}, {8, 9, 11, 12, 13, 16}, {9, 14, 18, 19, 20, 23}, {12, 17, 18, 19, 20, 24}, {3, 8, 12, 13, 17, 22}, {9, 14, 19, 20, 23, 24}, {2, 7, 8, 13, 14, 18}, {9, 14, 19, 23, 24, 25}, {8, 9, 11, 12, 13, 18}, {2, 7, 11, 12, 13, 17}, {1, 6, 11, 12, 17, 22}, {1, 6, 7, 12, 13, 17}, {7, 8, 12, 17, 21, 22}, {14, 16, 17, 18, 19, 24}, {12, 16, 17, 18, 19, 22}, {7, 12, 13, 16, 17, 22}, {8, 13, 14, 17, 18, 23}, {9, 13, 14, 19, 20, 24}, {2, 7, 8, 12, 16, 17}, {3, 4, 6, 7, 8, 13}, {4, 5, 7, 8, 9, 14}, {2, 6, 7, 8, 9, 13}, {7, 12, 16, 17, 22, 23}, {2, 6, 7, 8, 12, 17}, {7, 11, 12, 17, 18, 22}, {9, 10, 14, 18, 19, 23}, {8, 9, 13, 17, 18, 23}, {14, 16, 17, 18, 19, 23}, {7, 8, 12, 17, 21, 22}, {14, 16, 17, 18, 19, 23}, {10, 12, 13, 14, 15, 18}, {3, 6, 7, 8, 9, 12}, {6, 11, 12, 13, 17, 22}, {8, 11, 12, 13, 17, 22}, {8, 12, 13, 14, 15, 19}, {8, 9, 11, 12, 13, 16}, {7, 12, 16, 17, 18, 21}, {8, 11, 12, 13, 17, 22}, {8, 13, 14, 19, 24, 25}, {3, 8, 9, 10, 12, 13}, {6, 11, 12, 13, 17, 22}, {7, 12, 13, 14, 15, 17}, {14, 15, 17, 18, 19, 23}, {4, 9, 10, 13, 14, 18}, {8, 9, 10, 11, 12, 13}, {2, 7, 8, 13, 18, 19}, {3, 8, 12, 13, 18, 19}, {9, 13, 14, 19, 20, 24}, {2, 7, 12, 13, 18, 23}, {6, 11, 12, 17, 18, 23}, {4, 9, 14, 18, 19, 20}, {9, 12, 13, 14, 15, 17}, {6, 11, 12, 13, 14, 16}, {9, 13, 14, 15, 19, 24}, {14, 17, 18, 19, 20, 25}, {14, 17, 18, 19, 21, 22}, {7, 12, 13, 18, 19, 23}, {3, 4, 9, 14, 15, 20}, {2, 6, 7, 8, 9, 13}, {3, 4, 6, 7, 8, 13}, {8, 13, 14, 15, 19, 24}, {13, 16, 17, 18, 19, 22}, {8, 9, 11, 12, 13, 17}, {2, 6, 7, 12, 13, 17}, {1, 2, 7, 8, 9, 12}, {3, 8, 9, 12, 13, 17}, {2, 3, 8, 9, 10, 14}, {13, 16, 17, 18, 19, 23}, {8, 11, 12, 13, 14, 17}, {2, 7, 8, 11, 12, 16}, {6, 7, 12, 13, 14, 17}, {13, 18, 19, 20, 22, 23}, {10, 12, 13, 14, 15, 20}, {1, 6, 11, 12, 17, 22}, {2, 7, 8, 11, 12, 17}, {8, 9, 14, 19, 20, 25}, {2, 7, 11, 12, 17, 18}, {2, 6, 7, 12, 17, 18}, {8, 13, 18, 19, 22, 23}, {4, 8, 9, 10, 14, 19}, {9, 14, 18, 19, 20, 23}, {4, 6, 7, 8, 9, 12}, {14, 17, 18, 19, 20, 24}, {4, 8, 9, 10, 14, 19}, {2, 6, 7, 8, 9, 12}, {13, 17, 18, 19, 20, 25}, {7, 11, 12, 17, 22, 23}, {3, 6, 7, 8, 9, 13}, {7, 11, 12, 13, 14, 17}, {7, 11, 12, 13, 14, 19}, {4, 9, 13, 14, 18, 23}, {7, 12, 13, 16, 17, 22}, {4, 8, 9, 12, 13, 17}, {11, 12, 17, 18, 19, 23}, {12, 16, 17, 18, 19, 23}, {3, 8, 12, 13, 14, 19}, {1, 2, 3, 7, 12, 17}, {8, 9, 11, 12, 13, 18}, {7, 12, 13, 16, 17, 21}, {7, 11, 12, 13, 17, 22}, {2, 7, 11, 12, 13, 18}, {12, 16, 17, 18, 19, 23}, {7, 11, 12, 17, 18, 22}, {3, 8, 9, 10, 12, 13}, {7, 8, 9, 13, 18, 23}, {2, 7, 8, 9, 13, 18}, {11, 12, 13, 18, 19, 20}, {7, 12, 13, 14, 15, 20}, {4, 7, 8, 9, 10, 12}, {2, 7, 11, 12, 13, 17}, {9, 11, 12, 13, 14, 18}, {9, 11, 12, 13, 14, 17}, {9, 11, 12, 13, 14, 19}, {3, 8, 12, 13, 18, 19}, {4, 8, 9, 13, 17, 18}, {12, 13, 18, 19, 24, 25}, {7, 11, 12, 13, 17, 22}, {13, 18, 19, 20, 22, 23}, {6, 11, 12, 13, 17, 22}, {4, 5, 7, 8, 9, 13}, {8, 9, 10, 11, 12, 13}, {8, 9, 11, 12, 13, 17}, {8, 9, 10, 14, 19, 24}, {9, 14, 19, 23, 24, 25}, {13, 17, 18, 19, 20, 23}, {9, 14, 18, 19, 20, 24}, {11, 12, 17, 18, 19, 23}, {13, 16, 17, 18, 19, 23}, {7, 12, 16, 17, 18, 21}, {7, 8, 9, 13, 18, 23}, {5, 8, 9, 10, 12, 13}, {5, 7, 8, 9, 10, 12}, {2, 6, 7, 12, 13, 17}, {9, 12, 13, 14, 15, 19}, {14, 16, 17, 18, 19, 23}, {7, 12, 17, 18, 21, 22}, {16, 17, 18, 23, 24, 25}, {8, 12, 13, 14, 15, 17}, {8, 13, 17, 18, 19, 23}, {2, 3, 8, 9, 10, 14}, {4, 9, 14, 15, 18, 19}, {15, 17, 18, 19, 20, 25}, {4, 9, 10, 14, 18, 19}, {13, 16, 17, 18, 19, 23}, {7, 12, 13, 16, 17, 21}, {9, 11, 12, 13, 14, 19}, {3, 7, 8, 9, 10, 14}, {4, 8, 9, 14, 15, 19}, {2, 7, 12, 13, 16, 17}, {6, 7, 8, 13, 14, 15}, {7, 8, 12, 16, 17, 22}, {8, 9, 14, 15, 19, 24}, {3, 8, 13, 14, 17, 18}, {7, 12, 13, 14, 15, 19}, {15, 17, 18, 19, 20, 24}, {3, 6, 7, 8, 9, 11}, {3, 7, 8, 11, 12, 16}, {8, 12, 13, 16, 17, 22}, {6, 7, 8, 12, 17, 22}, {11, 16, 17, 18, 19, 21}, {8, 13, 14, 15, 19, 24}, {2, 6, 7, 12, 17, 18}, {7, 8, 13, 18, 23, 24}, {3, 6, 7, 8, 9, 13}, {4, 7, 8, 9, 13, 18}, {13, 17, 18, 19, 20, 24}, {3, 7, 8, 9, 10, 12}, {1, 6, 7, 12, 13, 17}, {3, 8, 9, 14, 15, 19}, {13, 16, 17, 18, 19, 22}, {12, 16, 17, 18, 19, 22}, {3, 7, 8, 9, 10, 14}, {14, 17, 18, 19, 20, 22}, {7, 11, 12, 17, 18, 22}, {1, 6, 7, 12, 13, 17}, {1, 6, 7, 8, 12, 17}, {2, 6, 7, 12, 17, 18}, {3, 7, 8, 9, 10, 15}, {7, 12, 13, 16, 17, 21}, {4, 6, 7, 8, 9, 13}, {1, 6, 7, 8, 9, 11}, {2, 7, 11, 12, 13, 17}, {13, 17, 18, 19, 20, 24}, {9, 13, 14, 15, 19, 24}, {8, 9, 13, 17, 18, 23}, {4, 9, 10, 13, 14, 19}, {1, 2, 3, 7, 12, 17},{9, 10, 14, 18, 19, 24}, {7, 12, 13, 14, 15, 18}, {4, 5, 9, 14, 18, 19}, {3, 4, 7, 8, 11, 12}, {8, 13, 18, 22, 23, 24}, {1, 6, 7, 12, 17, 18}, {2, 7, 8, 9, 10, 13}, {3, 6, 7, 8, 9, 14}, {8, 9, 14, 19, 20, 24}, {4, 6, 7, 8, 9, 11}, {9, 12, 13, 14, 18, 23}, {1, 2, 7, 8, 9, 13}, {8, 9, 13, 18, 22, 23}, {2, 3, 8, 13, 14, 18}, {1, 2, 7, 12, 13, 18}, {14, 16, 17, 18, 19, 22}, {1, 2, 7, 12, 13, 17}, {6, 7, 12, 13, 14, 18}, {3, 6, 7, 8, 12, 17}, {3, 7, 8, 11, 12, 17}, {1, 6, 7, 12, 13, 18}, {8, 12, 13, 17, 21, 22}, {4, 5, 8, 9, 14, 19}, {1, 6, 7, 8, 9, 12}, {7, 8, 11, 12, 17, 22}, {13, 16, 17, 18, 19, 21}, {6, 7, 12, 17, 18, 23}, {8, 11, 12, 13, 14, 19}, {2, 7, 11, 12, 16, 21}, {5, 9, 10, 14, 18, 19}, {4, 9, 14, 15, 20, 25}, {7, 8, 12, 16, 17, 21}, {9, 10, 12, 13, 14, 18}, {9, 10, 12, 13, 14, 19}, {2, 3, 7, 11, 12, 17}, {9, 13, 14, 17, 18, 22}, {7, 11, 12, 17, 18, 23}, {13, 14, 16, 17, 18, 23}, {14, 17, 18, 19, 24, 25}, {8, 13, 14, 15, 17, 18}, {7, 11, 12, 13, 14, 16}, {3, 8, 13, 14, 19, 24}, {2, 3, 8, 9, 13, 18}, {3, 4, 7, 8, 13, 18}, {4, 5, 9, 13, 14, 18}, {4, 9, 13, 14, 15, 20}, {2, 3, 8, 13, 14, 19}, {2, 7, 12, 16, 17, 18}, {10, 14, 15, 19, 23, 24}, {5, 7, 8, 9, 10, 14}, {3, 4, 6, 7, 8, 11}, {2, 7, 8, 13, 14, 19}, {3, 6, 7, 8, 13, 14}, {7, 12, 13, 14, 18, 23}, {7, 12, 13, 18, 23, 24}, {2, 3, 8, 13, 18, 19}, {14, 16, 17, 18, 19, 21}, {11, 12, 17, 18, 19, 22}, {8, 9, 12, 13, 18, 23}, {3, 4, 5, 6, 7, 8}, {4, 5, 9, 13, 14, 19}, {8, 9, 12, 13, 16, 17}, {8, 11, 12, 13, 14, 16}, {2, 7, 8, 9, 10, 15}, {4, 7, 8, 9, 11, 12}, {5, 9, 10, 13, 14, 18}, {13, 16, 17, 18, 19, 24}, {14, 18, 19, 20, 22, 23}, {8, 12, 13, 14, 19, 20}, {3, 8, 13, 17, 18, 19}, {3, 4, 9, 14, 19, 20}, {14, 15, 17, 18, 19, 24},{7, 8, 13, 18, 19, 23}, {2, 3, 8, 9, 14, 15}, {6, 7, 12, 17, 18, 22}, {3, 4, 8, 12, 13, 17}, {13, 14, 16, 17, 18, 21}, {2, 3, 7, 12, 16, 17}, {2, 6, 7, 8, 9, 14}, {13, 14, 16, 17, 18, 22}, {2, 3, 7, 11, 12, 16}, {2, 7, 8, 9, 11, 12}, {3, 4, 5, 9, 14, 19}, {8, 9, 13, 17, 18, 22}, {10, 12, 13, 14, 15, 17}, {7, 8, 13, 14, 15, 18}, {7, 12, 13, 14, 19, 20}, {2, 6, 7, 8, 9, 11}, {7, 8, 13, 18, 19, 24}, {3, 7, 8, 9, 14, 15}, {11, 16, 17, 18, 23, 24}, {7, 8, 13, 14, 15, 19}, {2, 3, 4, 8, 13, 18}, {8, 13, 14, 17, 18, 22}, {7, 12, 13, 18, 19, 24}, {9, 13, 14, 18, 22, 23}, {9, 10, 13, 14, 17, 18},{9, 10, 14, 19, 23, 24}, {12, 13, 18, 19, 20, 25}, {6, 11, 12, 13, 14, 19}, {8, 13, 14, 18, 22, 23}, {3, 7, 8, 12, 16, 17}, {1, 2, 7, 8, 9, 14}, {8, 12, 13, 16, 17, 21}, {6, 7, 12, 13, 18, 19}, {9, 12, 13, 14, 16, 17}, {15, 18, 19, 20, 22, 23}, {5, 7, 8, 9, 10, 13}, {6, 11, 12, 13, 18, 19}, {8, 13, 14, 19, 20, 25}, {8, 9, 14, 19, 24, 25}, {12, 17, 18, 19, 24, 25}, {1, 2, 3, 8, 9, 10}, {11, 12, 17, 18, 19, 24}, {3, 8, 9, 14, 19, 20}, {11, 12, 17, 18, 23, 24}]\ndef fold_cube(num_list): return set(num_list) in db\n'''\n⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⣿ wait - that's illegal ⣿⣿⣿⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⡏⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿\n⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⣿\n⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠿⠿⠿⠻⠿⠿⠟⠿⠛⠉⠀⠀⠀⠀⠀⣸⣿⣿\n⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣿⣿⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢰⣹⡆⠀⠀⠀⠀⠀⠀⣭⣷⠀⠀⠀⠸⣿⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠈⠉⠀⠀⠤⠄⠀⠀⠀⠉⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⣿⣿⣿⢾⣿⣷⠀⠀⠀⠀⡠⠤⢄⠀⠀⠀⠠⣿⣿⣷⠀⢸⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠀⠀⠀⠀⠀⢄⠀⢀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿\n⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿\n'''"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'fold_cube'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 5418