The Mayan Long Count calendar is a counting of days with these units: "* The Maya name for a day was k'in. Twenty of these k'ins are known as a winal or uinal. Eighteen winals make one tun. Twenty tuns are known as a k'atun. Twenty k'atuns make a b'ak'tun.*". Essentially, we have this pattern:
The long count date format follows the number of each type, from longest-to-shortest time measurement, separated by dots. As an example, '12.17.16.7.5' means 12 baktun, 17 katun, 16 tun, 7 uinal, and 5 kin. This is also the date that corresponds to January 1st, 1970. Another example would be December 21st, 2012: '13.0.0.0.0'. This date is completely valid, though shown here as an example of a "roll-over" date.
Write a function that accepts a year, month, and day and returns the Mayan Long Count corresponding to that date. You must remember to take into account leap-year logic, but only have to convert dates after the 1st of January, 1970.
Input Description:
Through standard console, expect an integer N, then a new-line, followed by N lines which have three integers each: a day, month, and year. These integers are guaranteed to be valid days and either on or after the 1st of Jan. 1970.
Output Description:
For each given line, output a new line in the long-form Mayan calendar format: <Baktun>.<Katun>.<Tun>.<Uinal>.<Kin>.
Sample Input:
3 1 1 1970 20 7 1988 12 12 2012Sample Output:
12.17.16.7.5 12.18.15.4.0 12.19.19.17.11
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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 | import java.text.SimpleDateFormat;import java.util.Calendar;import java.util.Date;import java.util.Scanner;public class MayanLongCount { private static class MayanCalendar { private final int kin; private final int uinal; private final int tun; private final int katun; private final int baktun; public MayanCalendar(int baktun, int katun, int tun, int uinal, int kin) { this.baktun = baktun; this.katun = katun; this.tun = tun; this.uinal = uinal; this.kin = kin; } @Override public String toString() { return baktun + "." + katun + "." + tun + "." + uinal + "." + kin; } } private static Date epochTime() { Calendar cal = Calendar.getInstance(); cal.setTime(new Date(0)); return cal.getTime(); } private static long getNumberOfDays(Date date1, Date date2) { return ((date2.getTime() - date1.getTime()) / (1000 * 60 * 60 * 24)); } private static MayanCalendar toMayanCalendar(long numberOfDays) { long numOfMayanDaysBeforeEpoch = 0; int[] mayanEpoch = new int[]{12, 17, 16, 7, 5}; int[] mayan = new int[]{20*20*18*20, 20*18*20, 18*20, 20, 1}; for (int i = 0; i < mayan.length; i++) { numOfMayanDaysBeforeEpoch += mayan[i] * mayanEpoch[i]; } int[] result = new int[mayan.length]; long remainder = numberOfDays + numOfMayanDaysBeforeEpoch; for (int i = 0; i < mayan.length; i++) { int value = (int) (remainder / mayan[i]); if (value > 0) { remainder = remainder % mayan[i]; } result[i] = value; } return new MayanCalendar( result[0], result[1], result[2], result[3], result[4]); } public static void main(String[] args) throws Exception { Scanner scanner = null; try { scanner = new Scanner(System.in); int n = Integer.parseInt(scanner.nextLine()); for (int i = 0; i < n; i++) { Date epoch = epochTime(); Date input = new SimpleDateFormat("dd MM yyyy") .parse(scanner.nextLine()); long numberOfDays = getNumberOfDays(epoch, input); MayanCalendar mc = toMayanCalendar(numberOfDays); System.out.println(mc); } } finally { scanner.close(); } }} |
