A student takes 3 exams and receives a score
to 100 for every one of them.

He passes the exams if he has at least 50/100 on all three exams.

If the student receives at least 50/100 for two of the exams,
his lowest score is at least 40/100 and the sum of all three scores is
at least 150/300, the examination board will let him pass.

In all other cases, the student fails the exams.

### Input

The results of three courses in ascending
order, each on a different line. You may assume that these are integers
from the interval $$[0,100]$$. However, you have to check if the scores are
in ascending order.

### Output

One line. If the scores are not in ascending
order, this line will say "`invalid
input`". Otherwise, it contains the student's result after the
examination board meeting: "`pass`",
"`deliberated`" or "`fail`".
Minimize both the amount of conditions that need to be checked, and the
complexity of every condition.

### Example

**Input:**

50
62
75

**Output:**

pass

### Example

**Input:**

43
52
82

**Output:**

deliberated

### Example

**Input:**

21
32
42

**Output:**

fail

### Example

**Input:**

41
52
53

**Output:**

fail

### Example

**Input:**

50
52
49

**Output:**

invalid input