Given a positive integer n, find the least number of perfect square numbers (for example, 1, 4, 9, 16, ...) which sum to n.

Example 1:


Input: n = 12
Output: 3 
Explanation: 12 = 4 + 4 + 4.

Example 2:


Input: n = 13
Output: 2
Explanation: 13 = 4 + 9.

```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 = 'class Solution:\n \n     @staticmethod\n     def as_a_perfect_square(n):\n         return (n ** 0.5).is_integer()\n \n     @staticmethod\n     def min_perfect_square(i, array):\n         res = 1000\n         for x in range(0, (i // 2) + 1):\n             a = array[x]\n             if a >= res:\n                 continue\n             b = array[(i-1)-x]\n             if a + b < res:\n                 res = a + b\n             if res == 2:\n                 return res\n         return res\n \n     def numSquares(self, n):\n \n         array = [1, 2, 3, 1, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 1, 2, 2, 3, 2, 3, 3, 4, 3, 1, 2, 3, 4, 2, 3, 4, 2, 3, 2, 3, 1, 2, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 3, 1, 2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 1, 2, 3, 3, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 2, 2, 3, 1, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 4, 2, 3, 3, 2, 2, 3, 4, 3, 1, 2, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 1, 2, 2, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 3, 1, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 2, 2, 3, 1, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 1, 2, 3, 3, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 4, 2, 2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 1, 2, 3, 3, 2, 2, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 2, 1, 2, 3, 2, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 2, 3, 3, 3, 1, 2, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 2, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 1, 2, 3, 3, 2, 2, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 1, 2, 3, 4, 2, 3, 4, 4, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 3, 2, 2, 3, 1, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 4, 3, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 1, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 1, 2, 2, 3, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 4, 1, 2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 2, 2, 3, 1, 2, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 2, 3, 2, 3, 2, 2, 3, 4, 3, 1, 2, 3, 4, 2, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 2, 3, 3, 2, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 1, 2, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 1, 2, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 4, 2, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 2, 3, 1, 2, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 4, 1, 2, 3, 2, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 2, 2, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 4, 2, 2, 3, 3, 2, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 1, 2, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 2, 2, 2, 3, 1, 2, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 4, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 1, 2, 3, 3, 2, 2, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 1, 2, 3, 4, 2, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 2, 3, 3, 2, 2, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 2, 3, 3, 3, 1, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 4, 3, 3, 3, 2, 3, 3, 4, 2, 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3, 3, 3, 4, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 3, 1, 2, 3, 3, 2, 3, 4, 4, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 2, 2, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 2, 2, 3, 3, 2, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 4, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 1, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 2, 3, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 4, 2, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 4, 3, 2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 4, 3, 3, 3, 3, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 3, 1, 2, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 4, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 2, 2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 3, 2, 2, 3, 1, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 4, 3, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 3, 3, 2, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 2, 2, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 4, 2, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 3, 1, 2, 3, 3, 2, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 4, 3, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 2, 3, 3, 2, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 1, 2, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 4, 2, 2, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 3, 3, 2, 3, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 4, 1, 2, 3, 3, 2, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 4, 2, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 2, 2, 3, 2, 2, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 3, 3, 2, 3, 1, 2, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 2, 2, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 4, 2, 3, 3, 2, 2, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 1, 2, 3, 4, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 3, 3, 2, 2, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 2, 2, 2, 3, 2, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 4, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 1, 2, 3, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 2, 2, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 4, 2, 2, 3, 2, 3, 3, 4, 3, 1, 2, 3, 3, 2, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 4, 2, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 4, 3, 2, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 2, 3, 3, 1, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 4, 2, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 3, 3, 2, 3, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 1, 2, 3, 2, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 3, 3, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 4, 2, 3, 3, 3, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 1, 2, 3, 3, 2, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 3, 2, 3, 2, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 3, 1, 2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 4, 2, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 2, 2, 3, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 2, 3, 3, 3, 2, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 3, 2, 2, 3, 2, 3, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 2, 2, 3, 1, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 2, 3, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 2, 3, 4, 3, 3, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 3, 2, 3, 3, 4, 2, 3, 4, 4, 2, 3, 3, 2, 3, 3, 4, 3, 2, 3, 3, 3, 2, 3, 4, 2, 3, 3, 3, 2, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 4, 3, 2, 2, 3, 2, 2, 3, 4, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 2, 3, 2, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2, 2, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 2, 3, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 2, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 4, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 2, 3, 4, 4, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 2, 3, 3, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 2, 2, 3, 4, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 4, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 3, 2, 2, 3, 4, 2, 3, 4, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 2, 3, 4, 4, 3, 2, 3, 2, 2, 3, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 2, 2, 3, 3, 3, 3, 4, 2, 3, 3, 3, 3, 2, 3, 4, 1]\n \n         array[0] = 1\n         array[1] = 2\n         array_n = len(array)\n \n         for i in range(array_n, n):\n             if self.as_a_perfect_square(i + 1):\n                 array[array_n] = 1\n                 array_n += 1\n             else:\n                 array[array_n] = self.min_perfect_square(i, array)\n                 array_n += 1\n         return array[n - 1]'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'numSquares'
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: 85074