In this Kata, you will be given a number and your task will be to rearrange the number so that it is divisible by `25`, but without leading zeros. Return the minimum number of digit moves that are needed to make this possible. If impossible, return `-1` ( `Nothing` in Haskell ).

For example:

More examples in test cases.

Good luck!

```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 = "def moves(st, ending):\n    s = list(st)\n    \n    steps = 0\n    for i in range(-1, -len(ending) - 1, -1):\n        char = ending[i]\n        while s[i] != char:\n            # Find latest example of the missing char in the string prior to our position\n            actual = [j for j, c in enumerate(s[:i]) if c == char][-1]\n            # Transpose it with the character to its right\n            s[actual], s[actual + 1] = s[actual + 1], s[actual]\n            steps += 1\n\n    while s[0] == '0':\n        # Transpose first non-zero character with character to its left  \n        actual = [j for j, c in enumerate(s) if c != '0'][0]\n        s[actual - 1], s[actual] = s[actual], s[actual - 1]\n        steps += 1\n        \n    return steps\n\n\n\ndef solve(n):\n    print(f'n: {n}')\n    s = str(n)\n    _0, _2, _5, _7 = s.count('0'), s.count('2'), s.count('5'), s.count('7')\n    \n    best = not_possible = len(s) * 2 + 1\n    if _0 > 1:\n        # Enough 0s to end in ..00\n        best = min(best, moves(s, '00'))\n    if _2 and _5:\n        # 2 & 5 present so we can end in ..25\n        best = min(best, moves(s, '25'))\n    if _5 and _0:        \n        # 5 & 0 present so we can end in ..50\n        best = min(best, moves(s, '50'))\n    if _7 and _5:        \n        # 7 & 5 present so we can end in ..75\n        best = min(best, moves(s, '75'))\n\n    if best == not_possible:\n        best = -1\n    return best\n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'solve'
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: 6638