# Explanation

It's your first day in the robot factory and your supervisor thinks that you should start with an easy task. So you are responsible for purchasing raw materials needed to produce the robots.

A complete robot weights `50` kilogram. Iron is the only material needed to create a robot. All iron is inserted in the first machine; the output of this machine is the input for the next one, and so on. The whole process is sequential. Unfortunately not all machines are first class, so a given percentage of their inputs are destroyed during processing.

# Task

You need to figure out how many kilograms of iron you need to buy to build the requested number of robots.

# Example

Three machines are used to create a robot. Each of them produces `10%` scrap. Your target is to deliver `90` robots.  
The method will be called with the following parameters:

```
CalculateScrap(scrapOfTheUsedMachines, numberOfRobotsToProduce)
CalculateScrap(int[] { 10, 10, 10 }, 90)
```

# Assumptions

* The scrap is less than `100%`.
* The scrap is never negative.
* There is at least one machine in the manufacturing line.
* Except for scrap there is no material lost during manufacturing.
* The number of produced robots is always a positive number.
* You can only buy full kilograms of iron.

```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 fractions import Fraction\nfrom functools import reduce\nfrom math import ceil\nfrom operator import mul\n\ndef calculate_scrap(scraps, n):\n    return ceil(n * 50 * reduce(mul, (Fraction(100, 100-scrap) for scrap in scraps)))'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'calculate_scrap'
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: 8921