**DESCRIPTION:**

  Your strict math teacher is teaching you about right triangles, and the Pythagorean Theorem --> a^2 + b^2 = c^2 whereas a and b are the legs of the right triangle and c is the hypotenuse of the right triangle. On the test however, the question asks: What are the possible integer lengths for the other side of the triangle, but since you never learned anything about that in class, you realize she meant What are the possible integer lengths for the other side of the right triangle. Because you want to address the fact that she asked the wrong question and the fact that you're smart at math, you've decided to answer all the possible values for the third side EXCLUDING the possibilities for a right triangle in increasing order.
  
**EXAMPLES:**

```
side_len(1, 1) --> [1]
side_len(3, 4) --> [2, 3, 4, 6]
side_len(4, 6) --> [3, 4, 5, 6, 7, 8, 9]
```
**RETURN:**

  Return your answer as a list of all the possible third side lengths of the triangle without the right triangles in increasing order.
  
By the way, after finishing this kata, please try some of my other katas: [Here](https://www.codewars.com/collections/tonylicodings-authored-katas)

NOTE:
  
  When given side_len(x, y), y will always be greater than or equal to x. Also, if a right triangle's legs are passed in, exclude the hypotenuse. If a right triangle's leg and hypotenuse are passed in, exclude the other leg.

```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 math import sqrt\n\ndef side_len(x, y):\n    if y < x: return "for fuck\'s sake"\n    mini = y - x + 1\n    maxi = x + y - 1\n    result = list(range(mini, maxi + 1))\n    hyp = sqrt(x**2 + y**2)\n    leg = sqrt(y**2 - x**2)\n    if hyp.is_integer() and mini <= hyp <= maxi: result.remove(int(hyp))\n    if leg.is_integer() and mini <= leg <= maxi: result.remove(int(leg))\n    return result'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'side_len'
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: 5874