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Matcom Online Grader
Faculty of Mathematics and Computer Science of University of Havana

Matcom Grader Speed Contest - 2019

Ended

B - Basketball

Languages: C, C++, Java, Python, Kotlin, C#
Time & Memory limits: (details)

If they continue playing like this, soon the basketball players of the world's best league, the NBA, will put a ball in the basket every second. So there will no longer be any defence, tactics nor basketball. Let's imagine observing one of these future matches between Team A and Team B. We know how many points both Team A and Team B have scored and the exact second when it happened. Within a second, it will not be possible to score more than one point. King James is observing the task input and wants to answer the following two questions:

  1. How many points have been scored during the first half-time, that is in the first half of the game, if we know that the entire game lasts 4 × 12 minutes?
  2. How many "turnarounds" have happened during the match, i.e. how many times has a team come from a losing situation (has strictly fewer points scored than the other team) to a leading one (has strictly more points scored than the other team)?



Input

The first line contains a positive integer A (1≤A≤2879), the number of points Team A has scored. In the following A lines there are positive integers As (1≤As≤2880), the seconds in which Team A was scoring points ordered from the smallest to the largest number.

In the (A+2)-th line there is a positive integer B (1≤B≤2879), the number of points Team B has scored. In the following B lines there are positive integers Bs (1≤Bs≤2880), the seconds in which Team B was scoring points ordered from the smallest to the largest number.

Output

In the first line print an integer value, the answer to the first question from the text of the task. In the second line print an integer value, the answer to the second question from the text of the task.

Sample test(s)

Input
3 10 1400 1500 2 7 2000
Output
3 1
Input
6 15 30 35 55 60 2065 7 20 25 40 45 50 2070 2075
Output
10 5
Input
11 1402 1412 1428 1430 1441 1444 1453 1483 1485 1489 1490 9 1403 1405 1409 1435 1459 1460 1461 1487 1495
Output
8 2

Hints

Clarification of the second example: