Four-digit palindromes start with `[1001,1111,1221,1331,1441,1551,1551,...]` and the number at position `2` is `1111`.  

You will be given two numbers `a` and `b`. Your task is to return the `a-digit` palindrome at position `b` if the palindromes were arranged in increasing order. 

Therefore, `palin(4,2) = 1111`, because that is the second element of the `4-digit` palindrome series.

More examples in the test cases. Good luck!

If you like palindrome Katas, please try:

[Palindrome integer composition](https://www.codewars.com/kata/599b1a4a3c5292b4cc0000d5)

[Life without primes](https://www.codewars.com/kata/59f8750ac374cba8f0000033)

```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 palin(a,b):\n    res = int('1' + ('0' * (a-1))) + 1\n    q = a//2\n    step = ('1' + (q*'0'), '11'+ ((q-1)*'0'))[a%2==0]\n    l = []\n    while b>0:\n        temp = len(str(res))//2\n        res = str(res)\n        res = res[:-temp] + res[:temp][::-1]\n        if len(res) > a:\n            a = len(str(res))\n            q = a // 2\n            step = ('1' + (q * '0'), '11' + ((q - 1) * '0'))[a % 2 == 0]\n        if l and l[-1] == 99:\n            l.append(101)\n        if res == res[::-1]:\n            b-=1\n            l.append(int(res))\n        res = int(res)\n        if str(res + int(step))[:temp-1] != str(res)[:temp-1]:\n            temp_res = int(str(res)) + 1\n            while str(temp_res) != str(temp_res)[::-1]:\n                temp_res += 1\n            b -= 1\n            if b >= 0:\n                l.append(temp_res)\n        res += int(step)\n    return l[-1]"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'palin'
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: 6500