This question is similar to the $"Operation$ $on$ $a$ $Tuple"$ problem in this month's Long Challenge but with a slight variation.

Consider the following operations on a triple of integers. In one operation, you should:

- Choose a positive integer $d>0$ and an arithmetic operation - in this case, it will only be addition.

- Choose a subset of elements of the triple.

- Apply arithmetic operation to each of the chosen elements.

For example, if we have a triple $(3,5,7)$, we may choose to add $3$ to the first and third element, and we get $(6,5,10)$ using one operation.

You are given an initial triple $(p,q,r)$ and a target triple $(a,b,c)$. Find the maximum number of operations needed to transform $(p,q,r)$ into $(a,b,c)$ or say the conversion is impossible .
Input:
- The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows.
- The first line of each test case contains three space-separated integers p, q and r.
- The second line contains three space-separated integers a, b and c.Output:
For each test case, print a single line containing one integer ― the maximum required number of operations(if the conversion is possible), or else print "-1"

Constraints:
- $1 \leq T \leq 1,000$
- $2 \leq |p|,|q|,|r|,|a|,|b|,|c| \leq 10^9$Sample Input:
	1

	2 2 1

	3 3 2

Sample Output:
	3

```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 = 'for i in range(int(input())):\n    giv=[int(i) for i in input().split()]\n    tar=[int(i) for i in input().split()]\n    diff=set()\n    f=0\n    c=0\n    s=0\n    for i in range(3):\n        if tar[i]-giv[i]==0:\n            c+=1\n        elif tar[i]-giv[i]<0:\n            f=1\n            break\n        else:\n            s+=tar[i]-giv[i]\n    if f==1:\n        print(-1)\n    else:\n        print(s)'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13199