# Problem

In China，there is an ancient mathematical book, called "The Mathematical Classic of Sun Zi"(《孙子算经》). In the book, there is a classic math problem: “今有物不知其数，三三数之剩二，五五数之剩三，七七数之剩二，问物几何？” 

Ahh, Sorry. I forgot that you don't know Chinese. Let's translate it to English:

There is a unkown positive integer `n`. We know: 

`n % 3 = 2`, and `n % 5 = 3`, and `n % 7 = 2`. 

What's the minimum possible positive integer `n`?

The correct answer is `23`.

# Task

You are given three non-negative integers `x,y,z`. They represent the remainders of the unknown positive integer `n` divided by 3,5,7.

That is: `n % 3 = x, n % 5 = y, n % 7 = z`

Your task is to find the minimum possible positive integer `n` and return it.

# Example

For `x = 2, y = 3, z = 2`, the output should be `23`

`23 % 3 = 2, 23 % 5 = 3, 23 % 7 = 2`

For `x = 1, y = 2, z = 3`, the output should be `52`

`52 % 3 = 1, 52 % 5 = 2, 52 % 7 = 3`

For `x = 1, y = 3, z = 5`, the output should be `103`

`103 % 3 = 1, 103 % 5 = 3, 103 % 7 = 5`

For `x = 0, y = 0, z = 0`, the output should be `105`

For `x = 1, y = 1, z = 1`, the output should be `1`

# Note

- `0 <= x < 3, 0 <= y < 5, 0 <= z < 7`

- Happy Coding `^_^`

```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 = 'find_unknown_number = lambda *a: next(i for i in __import__("itertools").count(1) if all(i % x == a[j] for j, x in enumerate((3, 5, 7))))'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'find_unknown_number'
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: 6778