Consider the number `1176` and its square (`1176 * 1176) = 1382976`. Notice that:

* the first two digits of `1176` form a prime.
* the first two digits of the square `1382976` also form a prime.
* the last two digits of `1176` and `1382976` are the same. 

Given two numbers representing a range (`a, b`), how many numbers satisfy this property within that range? (`a <= n < b`)


## Example

`solve(2, 1200) = 1`, because only `1176` satisfies this property within the range `2 <= n < 1200`. See test cases for more examples. The upper bound for the range will not exceed `1,000,000`. 

Good luck!

If you like this Kata, please try:

[Simple Prime Streaming](https://www.codewars.com/kata/5a908da30025e995880000e3)

[Alphabet symmetry](https://www.codewars.com/kata/59d9ff9f7905dfeed50000b0)

[Upside down numbers](https://www.codewars.com/kata/59f7597716049833200001eb)

```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 = 'from itertools import count\n\nPRIMES     = [\'11\', \'13\', \'17\', \'19\', \'23\', \'29\', \'31\', \'37\', \'41\', \'43\', \'47\', \'53\', \'59\', \'61\', \'67\', \'71\', \'73\', \'79\', \'83\', \'89\', \'97\']\nSET_PRIMES = set(PRIMES)\nTAILS      = [\'00\', \'01\', \'25\', \'76\']        # 2 digits numbers that fulfill the condition 11(76)*11(76) = ...(76)\n\ndef solve(a,b):\n    maxMissingDigits = len(str(b))-4\n    matches = 0\n    for nd in range(maxMissingDigits+1):\n        for p in PRIMES:\n            if nd == maxMissingDigits and int(p + \'0\'*(nd+2)) > b:                # All next generated numbers would be > b, so break\n                break\n            for t in TAILS:\n                digs = count(0)\n                while True:\n                    d = ("{:0>"+str(nd)+"}").format(next(digs)) if nd else \'\'     # Digits to insert in the middle of the number\n                    val = int(p+d+t)                                              # val = 2 digits prime + missing digits (up to maxMissingDigits) + 2 digits tail\n                    if val > b or len(d) > nd: break                              # Generated value is too high or if the digits to insert exceed the current number of digits sought for, break\n                    if str(val**2)[:2] in SET_PRIMES and a <= val:\n                        matches += 1\n                    if not d: break                                               # If no digits to insert, the loop has to be broken manually after its first iteration\n    return matches'
_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: 5822