We have heard a lot recently about the Y2K problem. According to the doom sayers, planes will fall out of the skies, businesses will crash and the world will enter a major depression as the bugs in software and hardware bite hard. While this panic is a very satisfactory state of affairs for the computing profession, since it is leading to lots of lucrative jobs, it will have a tendency to bring the profession into disrepute when almost no problems occur on 1/1/00. To help avoid this unseemly behaviour on any future occasion, you must write a program which will give the correct date for (almost) any number of future days - in particular, it must correctly predict the date N days ahead of any given date, where N is a number less than 1,000,000,000 and the given date is any date before the year 3000. Remember that in the standard Gregorian calendar we use there are 365 days in a year, except for leap years in which there are 366. Leap years are all years divisible by 4 and not divisible by 100, except for those divisible by 400. Thus 1900 was not a leap year, 1904, 1908 ... 1996 were leap years, 2000 will be a leap year, 2100 will not be a leap year, etc. The number of days in each month in a normal year is 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31; in a leap year, the second month has 29 days. Input Input will consist of lines containing four numbers, separated by one or more spaces. The first number on each line will be the number of days you have to predict (between 0 and 999999999), followed by the date in the format DD MM YYYY where DD is the day of the month (1 to 31), MM is the month (1 to 12), and Y Y Y Y is the year (1998 to 2999), all inclusive. The input will be terminated by a line containing four 0’s. Output For each line of input, one output line should be produced. This line should contain the date which is the required number of days ahead of the input date, written in the same format as the input dates. Sample Input 1 31 12 2999 40 1 2 2004 60 31 12 1999 60 31 12 2999 146097 31 12 1999 999999 1 1 2000 0000 Sample Output 1 1 3000 12 3 2004 29 2 2000 1 3 3000 31 12 2399 27 11 4737