>When no more interesting kata can be resolved, I just choose to create the new kata, to solve their own, to enjoy the process  --myjinxin2015 said

# Description:

```if:javascript
Given an array `arr` that contains some integers(positive, negative or 0), and a `range` list such as `[[start1,end1],[start2,end2],...]`, start and end are the index of `arr` and start always less than end. Your task is to calculate the sum value of each range (start index and end index are both inclusive), and return the maximum sum value.
```
```if:ruby
Given an array (`arr`) of integers and an array (`ranges`) of ranges (e.g. `[[1, 32], [16, 24],...]`), which represent an index range of `arr`, calculate the sum of each range (start index and end index are both inclusive) of `arr`, and return the maximum sum.
```
```if:php
Given an array `$a` that contains some integers and a `$range` list such as `[[$start1, $end1], [$start2, $end2], ... ]` where `$start(n)` and `$end(n)` are valid keys of the non-associative array `$a` and `$start(n)` is always guaranteed to be strictly less than `$end(n)`.  Your task is to calculate the sum value of each range (start index and end index are both inclusive) and return the maximum sum value.
```
```if:haskell
Given a list `arr` that contains some integers(positive, negative or 0), and a `range` list such as `[(start1,end1),(start2,end2),...]`, start and end are the index of `arr` and start always less than end. Your task is to calculate the sum value of each range (start index and end index are both inclusive), and return the maximum sum value.
```

For example:
 
# Note:

 - `arr`/`$a` always has at least 5 elements;
 - `range`/`$range`/`ranges` always has at least 1 element;
 - All inputs are valid;
 - This is a simple version, if you want some challenge, please [try the challenge version](https://www.codewars.com/kata/the-maximum-sum-value-of-ranges-challenge-version/).

# Some Examples

```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 itertools import accumulate\n\ndef max_sum(arr, ranges): \n    xs = list(accumulate(arr)) + [0]\n    return max(xs[j] - xs[i-1] for i, j in ranges)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'max_sum'
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: 5804