You are given a length of string and two thumbtacks. On thumbtack goes into the focus point *F₀* with coordinates *x₀* and *y₀*, and the other does into point *F₁* with points *x₁* and *y₁*. The string is then tied at the ends to the thumbtacks and has length *l* excluding the knots at the ends. If you pull the string taught with a pencil and draw around the plane you'll have an ellipse with focuses at *F₀* and *F₁*. Given a new point *P*, determine if it falls inside of the ellipse.

You must write a function that takes arguments `f0`, `f1`, `l`, and `p` and returns `true` or `false` depending on whether or not `p` falls inside the ellipse. 

Each of `f0`, `f1`, and `p` has has properties `x` and `y` for its coordinates.

You will never be given the case where the string is too short to reach between the points.

```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 ellipse_contains_point(f0, f1, l, p): \n    x1, x2, y1, y2 = f0['x'], f1['x'], f0['y'], f1['y']\n    c = (((x1-x2)**2 + (y1-y2)**2)**.5)/2\n    h, k = (x1 + x2)/2, (y1 + y2)/2\n    a = c + (l-2*c)/2\n    b = ((l/2)**2 - c)**.5\n    return ((p['x'] - h)**2)/ a**2 + ((p['y'] - k)**2)/ b**2 <=1 and c<l/2.\n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'ellipse_contains_point'
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: 5934