Chef recently learned about ratios and proportions. He wrote some positive integers a, b, c, d on a paper. Chef wants to know whether he can shuffle these numbers so as to make some proportion? Formally, four numbers x, y, z, w are said to make a proportion if ratio of x : y is same as that of z : w.
-----Input-----
Only line of the input contains four space separated positive integers - a, b, c, d.
-----Output-----
Print "Possible" if it is possible to shuffle a, b, c, d to make proportion, otherwise "Impossible" (without quotes).
-----Constraints-----
- 1 ≤ a, b, c, d  ≤ 1000
-----Example-----
Input:
1 2 4 2
Output:
Possible
-----Explanation-----
By swapping 4 and the second 2, we get 1 2 2 4. Note that 1 2 2 4 make proportion as 1 : 2 = 2 : 4. Hence answer is "Possible"
abcd = input()
abcd = abcd.split()
abcd = list(map(int, abcd))
prod = 1
cnt = 0
for item in abcd:
 prod*=item
flo = prod**(0.5)
if int(flo) == flo:
 for i in range(3):
  for j in range(i+1,4):
   if abcd[i]*abcd[j] == flo:
    cnt = 1
    break
  if cnt==1:
   break
 if cnt == 1:
  print("Possible")
 else:
  print("Impossible")
else:
 print("Impossible")
abcd = input()
abcd = abcd.split()
abcd = list(map(int, abcd))
prod = 1
cnt = 0
for item in abcd:
 prod*=item
flo = prod**(0.5)
if int(flo) == flo:
 for i in range(3):
  for j in range(i+1,4):
   if abcd[i]*abcd[j] == flo:
    cnt = 1
    break
  if cnt==1:
   break
 if cnt == 1:
  print("Possible")
 else:
  print("Impossible")
else:
 print("Impossible")