//  ISODateWeekOfYearArrayGenerator.java  Copyright (c) Kari Laitinen

//  http://www.naturalprogramming.com

//  2016-01-27  File created.
//  2020-03-11  File name slightly modified.

/*  The output data of this program is used in ISODate.java
    The output data is also in comments at the end of this file.
    
    The program finds out what is the week number of each day
    in the 400-year Gregorian cycle.

    The program then prints week number calendars, and finds
    out which week number calendar is used in each year.

    This program 'proves' that there are 15 different week number
    calendars, when weeks are numbered according to the system
    described in
        https://en.wikipedia.org/wiki/ISO_week_date


*/


import java.time.* ; // for classes LocalDate, Period
import java.time.temporal.WeekFields ;

import java.util.Scanner ;
import java.util.ArrayList ;

class  ISODateWeekOfYearArrayGenerator
{
   public static void print_week_number_calendar_data( int given_year )
   {
      int month = 1 ;
      int day   = 1 ;

      LocalDate date_to_increment  =  LocalDate.of( given_year, month, day ) ;

      System.out.print( "\n      {" ) ;

      while ( date_to_increment.getYear() == given_year )
      {

         System.out.print( "\n         { " ) ;
   
         while ( date_to_increment.getMonthValue() == month )
         {
            int week_number = date_to_increment.get( 
                                      WeekFields.ISO.weekOfWeekBasedYear() ) ;

            if ( day < date_to_increment.lengthOfMonth() )
            {
               System.out.print( week_number + "," ) ;
            }
            else
            {
               // No comma after the last element in initialization data.

               System.out.print( week_number + "" ) ;
            }
   
            day ++ ;
            date_to_increment = date_to_increment.plusDays( 1 ) ;
         }

         if ( month < 12 )
         {
            System.out.print( " }," ) ;
         }
         else
         {
            System.out.print( " }" ) ;
         }

         day = 1 ;
         month ++ ;
      }

      System.out.print( "\n      }," ) ;

   }

   public static void main( String[] not_in_use )
   {
      Scanner  keyboard  =  new  Scanner( System.in ) ;


      System.out.print( "\n   " ) ;

      ArrayList<Integer> codes_for_week_number_calendars =
                                                   new ArrayList<Integer>() ;

      ArrayList<String> year_data_collection = new ArrayList<String>() ;

      for ( int year = 2001 ;
                year < 2401 ;
                year ++ )
      {

         LocalDate first_day_of_year  =  LocalDate.of( year, 1, 1 ) ;

         int first_week_day = first_day_of_year.getDayOfWeek().getValue() ;

         String year_data = "First day=" + first_week_day ;

         int first_week_number = first_day_of_year.get( 
                                      WeekFields.ISO.weekOfWeekBasedYear() ) ;

         year_data = year_data + " First week=" +  first_week_number ;

         if ( first_day_of_year.isLeapYear() )
         {
            year_data = year_data + " Leap Year " ;
         }
         else
         {
            year_data = year_data + " Common Year " ;
         }

         LocalDate last_day_of_year = LocalDate.of( year, 12, 31 ) ;

         int last_week_number = last_day_of_year.get( 
                                      WeekFields.ISO.weekOfWeekBasedYear() ) ;

         year_data = year_data + "Last week=" + last_week_number ;

         int index_of_year_data = year_data_collection.indexOf( year_data ) ;

         if ( index_of_year_data == -1 )
         {
            // This kind of year has not yet been found.

            year_data_collection.add( year_data ) ;

            codes_for_week_number_calendars.add(
                                          year_data_collection.size() ) ;

            System.out.print( "\n\n      // " + year_data ) ;

            // Here we generate a calendar for this kind of a year

            print_week_number_calendar_data( year ) ;
         }
         else
         {
            codes_for_week_number_calendars.add( index_of_year_data + 1 ) ;
         }
      }

      int number_of_year_codes_on_current_line = 0 ;

      System.out.print( "\n\n   " ) ;

      for ( int calendar_code : codes_for_week_number_calendars )
      {
         System.out.printf( "%3d,", calendar_code  ) ;

         number_of_year_codes_on_current_line ++ ;

         if ( number_of_year_codes_on_current_line >= 20 )
         {
            number_of_year_codes_on_current_line = 0 ;

            System.out.print( "\n   " ) ;
         }
      }
 
      System.out.print( "\n   " ) ;
   }
}


/**

      // The output of this program is the following.
      // It is used in ISODate.java


      // First day=1 First week=1 Common Year Last week=1
      {
         { 1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5 },
         { 5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9 },
         { 9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13,13 },
         { 13,14,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18 },
         { 18,18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22 },
         { 22,22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26,26 },
         { 26,27,27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31,31 },
         { 31,31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35,35 },
         { 35,35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39,39 },
         { 40,40,40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44,44 },
         { 44,44,44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48,48 },
         { 48,48,49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52,1 }
      },

      // First day=2 First week=1 Common Year Last week=1
      {
         { 1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5 },
         { 5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9 },
         { 9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13,13,13 },
         { 14,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18,18 },
         { 18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22,22 },
         { 22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26,26,26 },
         { 27,27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31,31,31 },
         { 31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35,35,35 },
         { 35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39,39,40 },
         { 40,40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44,44,44 },
         { 44,44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48,48,48 },
         { 48,49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52,1,1 }
      },

      // First day=3 First week=1 Common Year Last week=1
      {
         { 1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5 },
         { 5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9 },
         { 9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13,13,13,14 },
         { 14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18,18,18 },
         { 18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22,22,22 },
         { 22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26,26,26,27 },
         { 27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31,31,31,31 },
         { 31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35,35,35,35 },
         { 36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39,39,40,40 },
         { 40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44,44,44,44 },
         { 44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48,48,48,48 },
         { 49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52,1,1,1 }
      },

      // First day=4 First week=1 Leap Year Last week=53
      {
         { 1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5 },
         { 5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,9,9 },
         { 10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13,13,13,14,14,14 },
         { 14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18,18,18,18,18 },
         { 18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22,22,22,22,23 },
         { 23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26,26,26,27,27,27 },
         { 27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31,31,31,31,31,31 },
         { 31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35,35,35,35,36,36 },
         { 36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39,39,40,40,40,40 },
         { 40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44,44,44,44,44,44 },
         { 45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48,48,48,48,49,49 },
         { 49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52,53,53,53,53,53 }
      },

      // First day=6 First week=53 Common Year Last week=52
      {
         { 53,53,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5 },
         { 5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9 },
         { 9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13 },
         { 13,13,13,14,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17 },
         { 17,18,18,18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22 },
         { 22,22,22,22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26 },
         { 26,26,26,27,27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30 },
         { 31,31,31,31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35 },
         { 35,35,35,35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39 },
         { 39,39,40,40,40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44 },
         { 44,44,44,44,44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48 },
         { 48,48,48,48,49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52 }
      },

      // First day=7 First week=52 Common Year Last week=52
      {
         { 52,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5 },
         { 5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9 },
         { 9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13 },
         { 13,13,14,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17 },
         { 18,18,18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22 },
         { 22,22,22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26 },
         { 26,26,27,27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31 },
         { 31,31,31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35 },
         { 35,35,35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39 },
         { 39,40,40,40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44 },
         { 44,44,44,44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48 },
         { 48,48,48,49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52 }
      },

      // First day=2 First week=1 Leap Year Last week=1
      {
         { 1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5 },
         { 5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9 },
         { 9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13,13,13,14 },
         { 14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18,18,18 },
         { 18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22,22,22 },
         { 22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26,26,26,27 },
         { 27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31,31,31,31 },
         { 31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35,35,35,35 },
         { 36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39,39,40,40 },
         { 40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44,44,44,44 },
         { 44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48,48,48,48 },
         { 49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52,1,1,1 }
      },

      // First day=4 First week=1 Common Year Last week=53
      {
         { 1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5,5 },
         { 5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,9 },
         { 9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13,13,13,14,14 },
         { 14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18,18,18,18 },
         { 18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22,22,22,22 },
         { 23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26,26,26,27,27 },
         { 27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31,31,31,31,31 },
         { 31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35,35,35,35,36 },
         { 36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39,39,40,40,40 },
         { 40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44,44,44,44,44 },
         { 44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48,48,48,48,49 },
         { 49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52,53,53,53,53 }
      },

      // First day=5 First week=53 Common Year Last week=52
      {
         { 53,53,53,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4 },
         { 5,5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8 },
         { 9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13 },
         { 13,13,13,13,14,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17 },
         { 17,17,18,18,18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22 },
         { 22,22,22,22,22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26 },
         { 26,26,26,26,27,27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30 },
         { 30,31,31,31,31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35 },
         { 35,35,35,35,35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39 },
         { 39,39,39,40,40,40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43 },
         { 44,44,44,44,44,44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48 },
         { 48,48,48,48,48,49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52 }
      },

      // First day=6 First week=52 Common Year Last week=52
      {
         { 52,52,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5 },
         { 5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9 },
         { 9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13 },
         { 13,13,13,14,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17 },
         { 17,18,18,18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22 },
         { 22,22,22,22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26 },
         { 26,26,26,27,27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30 },
         { 31,31,31,31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35 },
         { 35,35,35,35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39 },
         { 39,39,40,40,40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44 },
         { 44,44,44,44,44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48 },
         { 48,48,48,48,49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52 }
      },

      // First day=7 First week=52 Leap Year Last week=1
      {
         { 52,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5 },
         { 5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9 },
         { 9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13,13 },
         { 13,14,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18 },
         { 18,18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22 },
         { 22,22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26,26 },
         { 26,27,27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31,31 },
         { 31,31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35,35 },
         { 35,35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39,39 },
         { 40,40,40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44,44 },
         { 44,44,44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48,48 },
         { 48,48,49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52,1 }
      },

      // First day=5 First week=53 Leap Year Last week=52
      {
         { 53,53,53,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4 },
         { 5,5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9 },
         { 9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13 },
         { 13,13,13,14,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17 },
         { 17,18,18,18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22 },
         { 22,22,22,22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26 },
         { 26,26,26,27,27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30 },
         { 31,31,31,31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35 },
         { 35,35,35,35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39 },
         { 39,39,40,40,40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44 },
         { 44,44,44,44,44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48 },
         { 48,48,48,48,49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52 }
      },

      // First day=3 First week=1 Leap Year Last week=53
      {
         { 1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5,5,5 },
         { 5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,9 },
         { 9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13,13,13,14,14 },
         { 14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18,18,18,18 },
         { 18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22,22,22,22 },
         { 23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26,26,26,27,27 },
         { 27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31,31,31,31,31 },
         { 31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35,35,35,35,36 },
         { 36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39,39,40,40,40 },
         { 40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44,44,44,44,44 },
         { 44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48,48,48,48,49 },
         { 49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52,53,53,53,53 }
      },

      // First day=1 First week=1 Leap Year Last week=1
      {
         { 1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5,5,5 },
         { 5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9 },
         { 9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13,13,13 },
         { 14,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18,18 },
         { 18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22,22 },
         { 22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26,26,26 },
         { 27,27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31,31,31 },
         { 31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35,35,35 },
         { 35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39,39,40 },
         { 40,40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44,44,44 },
         { 44,44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48,48,48 },
         { 48,49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52,1,1 }
      },

      // First day=6 First week=52 Leap Year Last week=52
      {
         { 52,52,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,5 },
         { 5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9 },
         { 9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,13,13,13,13 },
         { 13,13,14,14,14,14,14,14,14,15,15,15,15,15,15,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17 },
         { 18,18,18,18,18,18,18,19,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22 },
         { 22,22,22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,25,25,25,25,25,25,25,26,26,26,26,26 },
         { 26,26,27,27,27,27,27,27,27,28,28,28,28,28,28,28,29,29,29,29,29,29,29,30,30,30,30,30,30,30,31 },
         { 31,31,31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,34,34,34,34,34,34,34,35,35,35,35 },
         { 35,35,35,36,36,36,36,36,36,36,37,37,37,37,37,37,37,38,38,38,38,38,38,38,39,39,39,39,39,39 },
         { 39,40,40,40,40,40,40,40,41,41,41,41,41,41,41,42,42,42,42,42,42,42,43,43,43,43,43,43,43,44,44 },
         { 44,44,44,44,44,45,45,45,45,45,45,45,46,46,46,46,46,46,46,47,47,47,47,47,47,47,48,48,48,48 },
         { 48,48,48,49,49,49,49,49,49,49,50,50,50,50,50,50,50,51,51,51,51,51,51,51,52,52,52,52,52,52,52 }
      },

     1,  2,  3,  4,  5,  6,  1,  7,  8,  9, 10, 11,  2,  3,  8, 12,  6,  1,  2, 13,
     9, 10,  6, 14,  3,  8,  9, 15,  1,  2,  3,  4,  5,  6,  1,  7,  8,  9, 10, 11,
     2,  3,  8, 12,  6,  1,  2, 13,  9, 10,  6, 14,  3,  8,  9, 15,  1,  2,  3,  4,
     5,  6,  1,  7,  8,  9, 10, 11,  2,  3,  8, 12,  6,  1,  2, 13,  9, 10,  6, 14,
     3,  8,  9, 15,  1,  2,  3,  4,  5,  6,  1,  7,  8,  9, 10, 11,  2,  3,  8,  9,
    10,  6,  1,  7,  8,  9, 10, 11,  2,  3,  8, 12,  6,  1,  2, 13,  9, 10,  6, 14,
     3,  8,  9, 15,  1,  2,  3,  4,  5,  6,  1,  7,  8,  9, 10, 11,  2,  3,  8, 12,
     6,  1,  2, 13,  9, 10,  6, 14,  3,  8,  9, 15,  1,  2,  3,  4,  5,  6,  1,  7,
     8,  9, 10, 11,  2,  3,  8, 12,  6,  1,  2, 13,  9, 10,  6, 14,  3,  8,  9, 15,
     1,  2,  3,  4,  5,  6,  1,  7,  8,  9, 10, 11,  2,  3,  8, 12,  6,  1,  2,  3,
     8,  9, 10, 11,  2,  3,  8, 12,  6,  1,  2, 13,  9, 10,  6, 14,  3,  8,  9, 15,
     1,  2,  3,  4,  5,  6,  1,  7,  8,  9, 10, 11,  2,  3,  8, 12,  6,  1,  2, 13,
     9, 10,  6, 14,  3,  8,  9, 15,  1,  2,  3,  4,  5,  6,  1,  7,  8,  9, 10, 11,
     2,  3,  8, 12,  6,  1,  2, 13,  9, 10,  6, 14,  3,  8,  9, 15,  1,  2,  3,  4,
     5,  6,  1,  7,  8,  9, 10, 11,  2,  3,  8, 12,  6,  1,  2, 13,  9, 10,  6,  1,
     2,  3,  8, 12,  6,  1,  2, 13,  9, 10,  6, 14,  3,  8,  9, 15,  1,  2,  3,  4,
     5,  6,  1,  7,  8,  9, 10, 11,  2,  3,  8, 12,  6,  1,  2, 13,  9, 10,  6, 14,
     3,  8,  9, 15,  1,  2,  3,  4,  5,  6,  1,  7,  8,  9, 10, 11,  2,  3,  8, 12,
     6,  1,  2, 13,  9, 10,  6, 14,  3,  8,  9, 15,  1,  2,  3,  4,  5,  6,  1,  7,
     8,  9, 10, 11,  2,  3,  8, 12,  6,  1,  2, 13,  9, 10,  6, 14,  3,  8,  9, 15,

 
**/