Bovine Birthday

Time Limit: 1000ms
Memory Limit: 65536KB
This problem will be judged on PKU. Original ID: 3047
64-bit integer IO format: %lld      Java class name: Main

Description

Bessie asked her friend what day of the week she was born on. She knew that she was born on 2003 May 25, but didn't know what day it was. Write a program to help. Note that no cow was born earlier than the year 1800.

Facts to know:

* January 1, 1900 was on a Monday.

* Lengths of months:
    Jan 31          May 31      Sep 30
Feb 28 or 29 Jun 30 Oct 31
Mar 31 Jul 31 Nov 30
Apr 30 Aug 31 Dec 31

* Every year evenly divisible by 4 is a leap year (1992 = 4*498 so 1992 will be a leap year, but the year 1990 is not a leap year).

* The rule above does not hold for century years. Century years divisible by 400 are leap years, all other are not. Thus, the century years 1700, 1800, 1900 and 2100 are not leap years, but 2000 is a leap year.

Input

* Line 1: Three space-separated integers that represent respectively the year, month (range 1..12), and day of a date.

Output

* Line 1: A single word that is the day of the week of the specified date (from the lower-case list: monday, tuesday, wednesday, thursday, friday, saturday, sunday).

Sample Input

2003 5 25

Hint

INPUT DETAILS:
May 25, 2003

OUTPUT DETAILS:
      May 2003
Su Mo Tu We Th Fr Sa
1 2 3
4 5 6 7 8 9 10
11 12 13 14 15 16 17
18 19 20 21 22 23 24
25 26 27 28 29 30 31

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