# Task
 Imagine a standard chess board with only two white and two black knights placed in their standard starting positions: the white knights on b1 and g1; the black knights on b8 and g8.

 There are two players: one plays for `white`, the other for `black`. During each move, the player picks one of his knights and moves it to an unoccupied square according to standard chess rules. Thus, a knight on d5 can move to any of the following squares: b6, c7, e7, f6, f4, e3, c3, and b4, as long as it is not occupied by either a friendly or an enemy knight.

 The players take turns in making moves, starting with the white player. Given the configuration `positions` of the knights after an unspecified number of moves, determine whose turn it is.

# Example

 For `positions = "b1;g1;b8;g8"`, the output should be `true`.

 The configuration corresponds to the initial state of the game. Thus, it's white's turn.

# Input/Output


 - `[input]` string `positions`

    The positions of the four knights, starting with white knights, separated by a semicolon, in the chess notation.


 - `[output]` a boolean value

    `true` if white is to move, `false` otherwise.

```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 whose_turn(positions):\n    positions = positions.split(";")\n    on_white_squares = [is_white_square(pos) for pos in positions]\n\n    # Player\'s knights on black-black or white-white => odd number of moves\n    white_pieces_match = on_white_squares[0] == on_white_squares[1]\n    black_pieces_match = on_white_squares[2] == on_white_squares[3]\n\n    # Equal number of moves => white to move\n    return white_pieces_match == black_pieces_match\n  \n\ndef is_white_square(pos):\n    x, y = ord(pos[0]) - 97, int(pos[1])\n    return x % 2 == y % 2'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'whose_turn'
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: 5996