# Task
Your task is to find the sum for the range `0 ... m` for all powers from `0 ... n.

# Example

 For `m = 2, n = 3`, the result should be `20`
 
 `0^0+1^0+2^0 + 0^1+1^1+2^1 + 0^2+1^2+2^2 + 0^3+1^3+2^3 = 20`
 
 Note, that no output ever exceeds 2e9.

# Input/Output


 - `[input]` integer m

  `0 <= m <= 50000`


 - `[input]` integer `n`

  `0 <= n <= 9`


 - `[output]` an integer(double in C#)

  The sum value.

```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 S2N(m, n):\n    amounts = (lambda x: x + 1,\n               lambda x: x * (x+1)/2,\n               lambda x: x * (x+1) * (2*x + 1) / 6,\n               lambda x: x**2 * (x+1)**2 / 4,\n               lambda x: x * (x+1) * (2*x + 1) * (3*x**2 + 3*x - 1) / 30,\n               lambda x: x**2 * (x+1)**2 * (2*x**2 + 2*x - 1) / 12,\n               lambda x: x * (x+1) * (2*x + 1) * (3*x**4 + 6*x**3 - 3*x + 1) / 42,\n               lambda x: x**2 * (x+1)**2 * (3*x**4 + 6*x**3 - x**2 - 4*x + 2) / 24,\n               lambda x: x * (x+1) * (2*x + 1) \\\n                         * (5*x**6 + 15*x**5 + 5*x**4 - 15*x**3 - x**2 + 9*x - 3) / 90,\n               lambda x: x**2 * (x+1)**2 * (x**2 + x - 1) \\\n                         * (2*x**4 + 4*x**3 - x**2 - 3*x + 3) / 20)\n    return sum(amounts[i](m) for i in range(n+1))\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'S2N'
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: 7602