# Task

There are `n` bears in the orchard and they picked a lot of apples. 

They distribute apples like this:

```
The first bear divided the apple into n piles, each with the same number. leaving an apple at last, and the apple was thrown away. Then he took 1 pile and left the n-1 pile.

The second bear divided the apple into n piles, each with the same number. leaving an apple at last, and the apple was thrown away. Then he took 1 pile and left the n-1 pile.

and so on..
```

Hmm.. your task is coming, please calculate the minimum possible number of these apples (before they start distributing)

# Input/Output


`[input]` integer `n`

The number of bears.

`2 <= n <= 9` (JS, Crystal and C)
`2 <= n <= 50` (Ruby and Python)

`[output]` an integer

The minimum possible number of apples.

# Example

For `n = 5`, the output should be `3121`.

```
5 bears distribute apples:

1st bear divided the apples into 5 piles, each pile has 624 apples, and 1 apple was thrown away.
3121 - 1 = 624 x 5
1st bear took 1 pile of apples, 2496 apples left.
3121 - 1 - 624 = 2496

2nd bear divided the apples into 5 piles, each pile has 499 apples, and 1 apple was thrown away.
2496 - 1 = 499 x 5
2nd bear took 1 pile of apples, 1996 apples left.
2496 - 1 - 499 = 1996

3rd bear divided the apples into 5 piles, each pile has 399 apples, and 1 apple was thrown away.
1996 - 1 = 399 x 5
3rd bear took 1 pile of apples, 1596 apples left.
1996 - 1 - 399 = 1596

4th bear divided the apples into 5 piles, each pile has 319 apples, and 1 apple was thrown away.
1596 - 1 = 319 x 5
4th bear took 1 pile of apples, 1276 apples left.
1596 - 1 - 319 = 1276

5th bear divided the apples into 5 piles, each pile has 255 apples, and 1 apple was thrown away.
1276 - 1 = 255 x 5
5th bear took 1 pile of apples, 1020 apples left.
1276 - 1 - 255 = 1020
```

```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 = 'how_many_apples=lambda n:n>2and n**n-n+1or 7'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'how_many_apples'
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: 5300