URI Online Judge | 1794 | [PJ]

Laundry

By Cristhian Bonilha, UTFPR BR Brazil

Timelimit: 1

Tired of washing your dirty clothes, your mother decided that, for now on, who washes your clothes is you.

On the laundry room of your home there is a washer and a dryer, each with its own limits of minimum and maximum amount of clothes to be washed and dried per time. Therefore, the washer can only be used if you put at least LA and at most LB clothes inside it, and similarly the dryer can only be used if you put at least SA and at most SB clothes inside it.

You currently have N clothes to be washed and dried, and you want to find out if it is possible to use the washer and dryer to wash and dry all of your clothes, following the rules described above.

Input

On the first line of input there is an integer N (1 ≤ N ≤ 100).

On the second line of input there are two integers LA and LB (1 ≤ LA < LB ≤ 100).

On the third line of input there are two integers SA and SB (1 ≤ SA < SB ≤ 100).

Output

Print the word "possivel" if it is possible to wash and dry all of your clothes following the rules described on the statement, or "impossivel" otherwise.

Input Samples Output Samples

10
8 12
10 14

possivel

12
10 11
12 16

impossivel

20
10 20
20 30

possivel