Problem10214--CCC '24 J3 - Bronze Count

10214: CCC '24 J3 - Bronze Count

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

After completing a competition, you are struck with curiosity. How many participants were awarded bronze level?

Gold level is awarded to all participants who achieve the highest score. Silver level is awarded to all participants who achieve the second highest score. Bronze level is awarded to all participants who achieve the third highest score.

Given a list of all the scores, your job is to determine the score required for bronze level and how many participants achieved this score.

Input

The first line of input contains a positive integer, $N\ (N\leq 250,000)$, representing the number of participants.

Each of the next $N$ lines of input contain a single integer representing a participant's score.

Each score is between 0 and 75 (inclusive) and there will be at least three distinct scores.

Output

Output a non-negative integer, $S$, and a positive integer, $P$, separated by a single space, where $S$ is the score required for bronze level and $P$ is how many participants achieved this score.

Sample 1 Input

4
70
62
58
73

Sample 1 Output

62 1
The score required for bronze level is 62 and one participant achieved this score.

Sample 2 Input

8
75
70
60
70
70
60
75
70

Sample 2 Output

60 2
The score required for bronze level is 60 and two participants achieved this score.

HINT

CCC24J3

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