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 = 'import sys\ndef input(): return sys.stdin.readline().strip()\n\nt = int(input())\nwhile t:\n t -= 1\n a, m = map(int, input().split())\n possible = []\n for i in range(2, int(m**0.5)+1):\n  if not m%i:\n   d = m//i\n   if not (m-d)%(a*d):\n    possible.append((m-d)//a)\n   d = m//d\n   if not (m-d)%(a*d):\n    possible.append((m-d)//a)\n if not(m-1)%a:\n  possible.append((m-1)//a)\n  \n possible.sort()\n print(len(possible))\n for i in possible:\n  print(i, end = " ")\n print()\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13817