In order that the calendar for the year 2003 and 2014 be the same, 1st January of both the years must be on the same day of the week.
For this, the number of odd days between 31st Dec., 2002 and 31st Dec., 2013 must be the same.
We know that an ordinary year has 1 odd day and a leap year has 2 odd days. During this period, there are 3 leap years, namely 2004, 2008 and 2012 and 8 ordinary years.
Total number of odd days (68) days= 0 odd day.
Hence, the calendar for 2003 will serve for the year 2014.