# Task
John was in math class and got bored, so he decided to fold some origami from a rectangular `a × b` sheet of paper (`a > b`). His first step is to make a square piece of paper from the initial rectangular piece of paper by folding the sheet along the bisector of the right angle and cutting off the excess part.



After moving the square piece of paper aside, John wanted to make even more squares! He took the remaining (`a-b`) × `b` strip of paper and went on with the process until he was left with a square piece of paper.

 Your task is to determine how many square pieces of paper John can make.

# Example:

 For: `a = 2, b = 1`, the output should be `2`.
 
 Given `a = 2` and `b = 1`, John can fold a `1 × 1` then another `1 × 1`. 
 
 So the answer is `2`.
 
 For: `a = 10, b = 7`, the output should be `6`.
 
 We are given `a = 10` and `b = 7`. The following is the order of squares John folds: `7 × 7, 3 × 3, 3 × 3, 1 × 1, 1 × 1, and 1 × 1`.
 
 Here are pictures for the example cases.



# Input/Output


 - `[input]` integer `a`

  `2 ≤ a ≤ 1000`


 - `[input]` integer `b`

  `1 ≤ b < a ≤ 1000`


 - `[output]` an integer

  The maximum number of squares.

```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\ndef folding(a, b):\n    for c in count(0):\n        if a == 1: return c + b\n        if b == 1: return c + a\n        if a == b: return c + 1\n        a, b = abs(a-b), min(a, b)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'folding'
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: 5448