**Story**  
On some island lives a chameleon population. Chameleons here can be of only one of three colors - red, green and blue. Whenever two chameleons of different colors meet, they can change their colors to a third one (i.e. when red and blue chameleons meet, they can both become green). There is no other way for chameleons to change their color (in particular, when red and blue chameleons meet, they can't become both red, only third color can be assumed).  
Chameleons want to become of one certain color. They may plan they meetings to reach that goal. Chameleons want to know, how fast their goal can be achieved (if it can be achieved at all).

**Formal problem**  
*Input:*  
Color is coded as integer, 0 - red, 1 - green, 2 - blue.
Chameleon starting population is given as an array of three integers, with index corresponding to color (i.e. [2, 5, 3] means 2 red, 5 green and 3 blue chameleons). All numbers are non-negative, their sum is between `1` and `int.MaxValue` (maximal possible value for `int` type, in other languages). Desired color is given as an integer from 0 to 2.  
*Output:*  
`Kata.Chameleon` should return *minimal* number of meetings required to change all chameleons to a given color, or -1 if it is impossible (for example, if all chameleons are initially of one other color).  
  
**Notes and hints**  
-- Some tests use rather big input values. Be effective.  
-- There is a strict proof that answer is either -1 or no greater than total number of chameleons (thus, return type `int` is justified). Don't worry about overflow.  
  
**Credits**  
Kata based on "Chameleons" puzzle from braingames.ru: http://www.braingames.ru/?path=comments&puzzle=226 (russian, not translated).

```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 chameleon(chameleons, desiredColor):\n    # rotate a, b, c as a: desiredColor and b ≥ c\n    a, b, c = chameleons[desiredColor:] + chameleons[:desiredColor]\n    if b < c:\n        b, c = c, b\n    # combine a and b to become c x times so that b - x = c + 2x i.e. 3x = b - c\n    if (b - c) % 3 != 0 or a < (b - c) / 3:\n        return -1\n    # combine b and c to become a for (b - x) times or (c + 2x) times\n    # total number of combinations = x + b - x = b\n    return b'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'chameleon'
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: 5500