Today is Chef's birthday. His mom has surprised him with truly fruity gifts: 2 fruit baskets. The first basket contains N apples, and the second one contains M oranges. Chef likes apples and oranges very much but he likes them equally, and therefore, wants to have the minimum possible difference between the number of apples and oranges he has. To do so, he can purchase 1 apple or 1 orange by paying exactly 1 gold coin (that's some expensive fruit, eh?). Chef can purchase fruits at most K times (as he has only K gold coins in his pocket) to make the difference the minimum possible.
Our little Chef is busy in celebrating his birthday to the fullest, and therefore, he has handed this job to his best friend — you. Can you help him by finding the minimum possible difference he can achieve between the number of apples and orange he owns?

-----Input-----
The first line of input contains a single integer T denoting the number of test cases. The first and only line of each test case contains 3 space separated integers — N, M and K — denoting the number of apples, number of oranges, and number of gold coins our little Chef has.

-----Output-----
For each test case, output the minimum possible difference between the number of apples and oranges that Chef can achieve.

-----Constraints-----
- 1 ≤ T ≤ 100
- 1 ≤ N, M, K ≤ 100

-----Example-----Input
3
3 4 1
5 2 1
3 4 3

Output
0
2
0

-----Explanation-----
- Test 1: Chef will buy 1 apple by paying 1 gold coin and will have equal number of apples and oranges. 
- Test 2: Chef will buy 1 orange by paying 1 gold coin and will have 5 apples and 3 oranges.

```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

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = '# cook your dish here\nT = int(input())\n\nfor t in range(T):\n apples, oranges, coins = input().split()\n apples = int(apples)\n oranges = int(oranges)\n coins = int(coins)\n while coins > 0:\n  if apples > oranges:\n   oranges += 1 \n   coins -= 1\n  elif oranges > apples:\n   apples += 1\n   coins -= 1\n  else:\n   if coins % 2 == 0:\n    half = int(coins / 2)\n    apples = apples + half\n    oranges = oranges + half\n    coins = 0\n    break\n   else:\n    half = int(coins / 2)\n    #coins = coins - half\n    apples = apples + half\n    oranges = oranges + half\n    coins = 1\n    break\n print(int(abs(apples-oranges))) \n #print(int(apples - oranges) if apples >= oranges else int(oranges - apples\xa0\xa0\xa0\xa0\xa0\xa0\xa0\xa0))\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13225