You are the "computer expert" of a local Athletic Association (C.A.A.).
Many teams of runners come to compete. Each time you get a string of 
all race results of every team who has run.
For example here is a string showing the individual results of a team of 5 runners:

` "01|15|59, 1|47|6, 01|17|20, 1|32|34, 2|3|17" `

Each part of the string is of the form: ` h|m|s `
where h, m, s (h for hour, m for minutes, s for seconds) are positive or null integer (represented as strings) with one or two digits.
There are no traps in this format.

To compare the results of the teams you are asked for giving
three statistics; **range, average and median**.

`Range` : difference between the lowest and highest values. 
In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, 
so the range is 9 − 3 = 6.

`Mean or Average` : To calculate mean, add together all of the numbers 
in a set and then divide the sum by the total count of numbers.

`Median` : In statistics, the median is the number separating the higher half 
of a data sample from the lower half. 
The median of a finite list of numbers can be found by arranging all 
the observations from lowest value to highest value and picking the middle one 
(e.g., the median of {3, 3, 5, 9, 11} is 5) when there is an odd number of observations. 
If there is an even number of observations, then there is no single middle value; 
the median is then defined to be the mean of the two middle values
(the median of {3, 5, 6, 9} is (5 + 6) / 2 = 5.5).

Your task is to return a string giving these 3 values.  For the example given above,
the string result will be

`"Range: 00|47|18 Average: 01|35|15 Median: 01|32|34"`

of the form:

`"Range: hh|mm|ss Average: hh|mm|ss Median: hh|mm|ss"`

where hh, mm, ss are integers (represented by strings) with *each 2 digits*.

*Remarks*: 

1. if a result in seconds is ab.xy... it will be given **truncated** as ab.

2. if the given string is "" you will return ""

```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 statistics import median, mean\n\ndef stat(s):\n    if not s: return ''\n\n    t = [itime(w) for w in s.split(',')]\n    return 'Range: {} Average: {} Median: {}'.format(stime(max(t) - min(t)), stime(int(mean(t))), stime(int(median(t))))\n\ndef itime(w):\n    return sum([int(c) * 60**i for i, c in enumerate(w.split('|')[::-1])])\n    \ndef stime(n):\n    return '{:02d}|{:02d}|{:02d}'.format(n // 3600, (n % 3600) // 60, n % 60)"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'stat'
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: 12842