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