Chef is playing a game with his brother Chefu. He asked Chefu to choose a positive integer $N$, multiply it by a given integer $A$, then choose a divisor of $N$ (possibly $N$ itself) and add it to the product. Let's denote the resulting integer by $M$; more formally, $M = A \cdot N + d$, where $d$ is some divisor of $N$.
Chefu told Chef the value of $M$ and now, Chef should guess $N$. Help him find all values of $N$ which Chefu could have chosen.

-----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 and only line of each test case contains two space-separated integers $A$ and $M$.

-----Output-----
For each test case, print two lines. The first line should contain a single integer $C$ denoting the number of possible values of $N$. The second line should contain $C$ space-separated integers denoting all possible values of $N$ in increasing order.
It is guaranteed that the sum of $C$ over all test cases does not exceed $10^7$.

-----Constraints-----
- $1 \le T \le 100$
- $2 \le M \le 10^{10}$
- $1 \le A < M$

-----Subtasks-----
Subtask #1 (50 points):
- $M \le 10^6$
Subtask #2 (50 points): original constraints

-----Example Input-----
3
3 35
5 50
4 65

-----Example Output-----
1
10
0

3
13 15 16

```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\n# code by RAJ BHAVSAR\n\ndef getdiv(m):\n i = 1\n res = []\n while(i*i <= m):\n  if(m%i == 0):\n   res.append(i)\n   if(m//i != i):\n    res.append(m//i)\n  i += 1\n return res\n\nfor _ in range(int(input())):\n a,m = map(int,input().split())\n div = getdiv(m)\n res = []\n for i in div:\n  n = (m-i)/a\n  if(n>=i and n%1 == 0 and n%i == 0):\n   res.append(int(n))\n res.sort()\n print(len(res))\n for i in res:\n  print(i,end=' ')\n print('')"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13331