Max registrations they asked?

You're given a record of students with their registration dates from 01/01/2011 to 01/05/2021. You're also given with the marks scored by each of the students in Physics, Chemistry, and Mathematics. You need to find out the month that observed the maximum registrations. Then return the average marks scored in each subject. In case of a tie, select the month that comes later.

Input Format
Total five lines, each element in a line is space-separated. First line contains the Registration dates, followed by Registration IDs, and marks scores in Physics, Chemistry and Mathematics respectively in the next lines. You need to take STDIN and make use of Pandas library to return the answer.

Output Format
Output will be one single line containing the name of the month in abbreviations followed by the number of registrations and average marks in each subjects.

Sample Input

2015-12-06 2011-12-27 2015-09-07 2012-12-21 2020-02-13 2015-06-09 2013-03-21 2012-09-22 2013-06-19 2016-03-05 2017-08-27 2012-06-24 2018-11-20 2018-05-24 2019-08-17 2018-08-22 2021-02-07 2016-09-01 2015-03-11 2011-06-30 2019-11-15 2016-11-30 2019-05-19 2012-03-26 2020-08-11 2014-09-12 2014-12-11 2013-12-16 2017-02-28 2011-04-01 2011-01-01 2017-11-25 2014-03-16 2014-06-14 2013-09-17 2020-05-13 2018-02-23 2019-02-18 2011-09-28 2016-06-03 2020-11-09 2017-05-29

498 721 375 464 813 853 918 422 380 403 445 665 43 281 730 39 63 560 56 901 802 3 247 863 223 510 89 813 940 800 292 289 429 241 745 796 529 9 909 495 373 397

22 45 1 65 22 17 12 51 37 40 36 58 0 53 33 13 39 53 18 46 68 30 37 56 3 63 40 18 40 25 36 12 39 8 32 69 21 43 10 9 31 56

52 56 32 50 24 61 17 0 28 39 56 33 19 10 38 14 41 7 59 1 50 8 6 10 20 19 68 46 13 1 54 2 40 66 14 39 6 51 23 20 11 68

63 37 68 62 43 42 56 36 50 7 20 21 44 55 10 4 18 24 27 67 59 56 17 56 45 66 21 10 27 39 64 32 8 3 1 8 1 50 33 19 6 41

Sample Output

SEP 6 35.0 15.83 38.0

Notes

• Round up to 2 decimal points.
• Refer to 3-letter abbreviations for each month, i.e. JAN for January, FEB for February, and so on.