### Task
 Each day a plant is growing by `upSpeed` meters. Each night that plant's height decreases by `downSpeed` meters due to the lack of sun heat. Initially, plant is 0 meters tall. We plant the seed at the beginning of a day. We want to know when the height of the plant will reach a certain level.

### Example

 For `upSpeed = 100, downSpeed = 10 and desiredHeight = 910`, the output should be `10`.
 
 ```
 After day 1 --> 100
 After night 1 --> 90
 After day 2 --> 190
 After night 2 --> 180
 After day 3 --> 280
 After night 3 --> 270
 After day 4 --> 370
 After night 4 --> 360
 After day 5 --> 460
 After night 5 --> 450
 After day 6 --> 550
 After night 6 --> 540
 After day 7 --> 640
 After night 7 --> 630
 After day 8 --> 730
 After night 8 --> 720
 After day 9 --> 820
 After night 9 --> 810
 After day 10 --> 910 
 ```
 
 For `upSpeed = 10, downSpeed = 9 and desiredHeight = 4`, the output should be `1`.
 
 Because the plant reach to the desired height at day 1(10 meters).
 
 ```
 After day 1 --> 10
 ```

### Input/Output

```if-not:sql
 - `[input]` integer `upSpeed`

    A positive integer representing the daily growth.

    Constraints: `5 ≤ upSpeed ≤ 100.`


 - `[input]` integer `downSpeed`

    A positive integer representing the nightly decline.

    Constraints: `2 ≤ downSpeed < upSpeed.`


 - `[input]` integer `desiredHeight`

    A positive integer representing the threshold.

    Constraints: `4 ≤ desiredHeight ≤ 1000.`

 - `[output]` an integer

    The number of days that it will take for the plant to reach/pass desiredHeight (including the last day in the total count).
```
```if:sql
## Input

~~~
-----------------------------------------
|     Table     |    Column      | Type |
|---------------+----------------+------|
| growing_plant | down_speed     | int  |
|               | up_speed       | int  |
|               | desired_height | int  |
-----------------------------------------
~~~

### Columns
* `up_speed`: A positive integer representing the daily growth. Constraints: `5 ≤ up_speed ≤ 100.`
* `down_speed`: A positive integer representing the nightly decline. Constraints: `2 ≤ down_speed < up_speed.`
* `desired_height`: A positive integer representing the threshold. Constraints: `4 ≤ desired_height ≤ 1000.`

## Output

~~~
-------------------
|  Column  | Type |
|----------+------|
| id       | int  |
| num_days | int  |
-------------------
~~~

`num_days` is the number of days that it will take for the plant to reach/pass desiredHeight (including the last day in the total count).
```

```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 = 'def growing_plant(upSpeed, downSpeed, desiredHeight):\n    return 1+sum(upSpeed*d-downSpeed*(d-1) < desiredHeight for d in range(1,699))'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'growing_plant'
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: 5916