# Task

The game starts with `n` people standing in a circle. The presenter counts `m` people starting with the first one, and gives `1` coin to each of them. The rest of the players receive `2` coins each. After that, the last person who received `1` coin leaves the circle, giving everything he had to the next participant (who will also be considered "the first in the circle" in the next round). This process continues until only 1 person remains.

Determine the `number` of this person and how many `coins` he has at the end of the game.

The result should be a pair of values in the format: `[person, coins]`.

## Example:

```
n = 8, m = 3

People
1 2 3      1 2 ∙      1 2 ∙      ∙ 2 ∙       ∙  2 ∙       ∙ ∙  ∙       ∙ ∙  ∙
8   4  =>  8   4  =>  8   4  =>  8   4  =>   8    4  =>   8    4  =>   ∙    4  =>  7
7 6 5      7 6 5      7 ∙ 5      7 ∙ 5       7  ∙ ∙       7 ∙  ∙       7 ∙  ∙

Coins
0 0 0      1 1 ∙      3 3 ∙      ∙ 9 ∙       ∙ 10 ∙       ∙ ∙  ∙       ∙ ∙  ∙   
0   0  =>  2   3  =>  4   4  =>  5   6  =>   7    7  =>   8   20  =>   ∙   30  =>  51
0 0 0      2 2 2      7 ∙ 3      8 ∙ 5      16 ∙  ∙      17 ∙  ∙      18 ∙  ∙ 
```

## Notes:

* The presenter can do several full circles during one counting.
* In this case, the same person will receive `1` coin multiple times, i.e. no matter how many people are left in the circle, at least `m` coins will always be distributed among the participants during the round.
* If a person had already received `1` coin (possibly multiple times), he won't receive any additional `2` coins **at once(!)** during that round.
* People are counted starting with `1`.
* `m` can be **bigger** than `n` at start

```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 collections import deque\n\ndef find_last(n, m):\n    circle = deque(range(1, n+1))\n    coin = 0\n    for _ in range(1, n):\n        coin += m if len(circle) <= m else (2 * len(circle)) - m\n        circle.rotate(-(m-1))\n        circle.popleft()\n    return (circle[0], coin)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'find_last'
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: 6080