Bob watches TV every day. He always sets the volume of his TV to $b$. However, today he is angry to find out someone has changed the volume to $a$. Of course, Bob has a remote control that can change the volume.

There are six buttons ($-5, -2, -1, +1, +2, +5$) on the control, which in one press can either increase or decrease the current volume by $1$, $2$, or $5$. The volume can be arbitrarily large, but can never be negative. In other words, Bob cannot press the button if it causes the volume to be lower than $0$.

As Bob is so angry, he wants to change the volume to $b$ using as few button presses as possible. However, he forgets how to do such simple calculations, so he asks you for help. Write a program that given $a$ and $b$, finds the minimum number of presses to change the TV volume from $a$ to $b$.


-----Input-----

Each test contains multiple test cases. The first line contains the number of test cases $T$ ($1 \le T \le 1\,000$). Then the descriptions of the test cases follow.

Each test case consists of one line containing two integers $a$ and $b$ ($0 \le a, b \le 10^{9}$) — the current volume and Bob's desired volume, respectively.


-----Output-----

For each test case, output a single integer — the minimum number of presses to change the TV volume from $a$ to $b$. If Bob does not need to change the volume (i.e. $a=b$), then print $0$.


-----Example-----
Input
3
4 0
5 14
3 9

Output
2
3
2



-----Note-----

In the first example, Bob can press the $-2$ button twice to reach $0$. Note that Bob can not press $-5$ when the volume is $4$ since it will make the volume negative. 

In the second example, one of the optimal ways for Bob is to press the $+5$ twice, then press $-1$ once.

In the last example, Bob can press the $+5$ once, then press $+1$.

```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 = "import sys\nimport math\nimport itertools\nimport collections\n\n\ndef sieve(n):\n    if n < 2: return list()\n    prime = [True for _ in range(n + 1)]\n    p = 3\n    while p * p <= n:\n        if prime[p]:\n            for i in range(p * 2, n + 1, p):\n                prime[i] = False\n        p += 2\n    r = [2]\n    for p in range(3, n + 1, 2):\n        if prime[p]:\n            r.append(p)\n    return r\ndef divs(n, start=1):\n    r = []\n    for i in range(start, int(math.sqrt(n) + 1)):\n        if (n % i == 0):\n            if (n / i == i):\n                r.append(i)\n            else:\n                r.extend([i, n // i])\n    return r\ndef cdiv(n, k): return n // k + (n % k != 0)\ndef ii(): return int(input())\ndef mi(): return list(map(int, input().split()))\ndef li(): return list(map(int, input().split()))\ndef lcm(a, b): return abs(a * b) // math.gcd(a, b)\ndef wr(arr): return ''.join(map(str, arr))\ndef revn(n): return str(n)[::-1]\ndef prime(n):\n    if n == 2: return True\n    if n % 2 == 0 or n <= 1: return False\n    sqr = int(math.sqrt(n)) + 1\n    for d in range(3, sqr, 2):\n        if n % d == 0: return False\n    return True\ndef convn(number, base):\n    newnumber = 0\n    while number > 0:\n        newnumber += number % base\n        number //= base\n    return newnumber\n\n\nt = ii()\nfor _ in range(t):\n    a, b = mi()\n    d = abs(b - a)\n    ans = 0\n    ans += d // 5\n    d %= 5\n    ans += d // 2\n    d %= 2\n    ans += d\n    print(ans)\n"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 14901