Appy and Chef are participating in a contest. There are $N$ problems in this contest; each problem has a unique problem code between $1$ and $N$ inclusive. Appy and Chef decided to split the problems to solve between them ― Appy should solve the problems whose problem codes are divisible by $A$ but not divisible by $B$, and Chef should solve the problems whose problem codes are divisible by $B$ but not divisible by $A$ (they decided to not solve the problems whose codes are divisible by both $A$ and $B$).
To win, it is necessary to solve at least $K$ problems. You have to tell Appy whether they are going to win or lose.

-----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 four space-separated integers $N$, $A$, $B$ and $K$.

-----Output-----
For each test case, print a single line containing the string "Win" if they can solve at least $K$ problems or "Lose" otherwise (without quotes).

-----Constraints-----
- $1 \le T \le 15$
- $1 \le K \le N \le 10^{18}$
- $1 \le A, B \le 10^9$

-----Subtasks-----
Subtask #1 (15 points):
- $1 \le T \le 15$
- $1 \le K \le N \le 10^6$
- $1 \le A, B \le 10^3$
Subtask #2 (85 points): original constraints

-----Example Input-----
1
6 2 3 3

-----Example Output-----
Win

-----Explanation-----
Example case 1: Appy is solving the problems with codes $2$ and $4$, Chef is solving the problem with code $3$. Nobody is solving problem $6$, since $6$ is divisible by both $2$ and $3$. Therefore, they can solve $3$ problems and win.

```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())\nwhile(t>0):\n n,a,b,k = map(int,input().split())\n prob = 0\n if(a == 1 and b == 1):\n  print("Lose")\n elif(a == 1):\n  rem = n // b\n  prob = n - rem\n  if(prob < k):\n   print("Lose")\n  else:\n   print("Win")\n elif(b == 1):\n  rem = n // a\n  prob = n - rem\n  if(prob < k):\n   print("Lose")\n  else:\n   print("Win")\n else:\n  for i in range(1,n+1):\n   if(i%a ==0 and i%b == 0):\n    continue\n   elif(i%a == 0 and i%b != 0):\n    prob += 1\n    if(prob>=k):\n     print("Win")\n     break\n   elif(i%b == 0 and i%a != 0):\n    prob += 1\n    if(prob>=k):\n     print("Win")\n     break\n  if(prob < k):\n   print("Lose")\n t -= 1'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13395