| ## Page 1 | |
| 12019 | |
| Doom’s Day Algorithm | |
| No. Doom’s day algorithm is not a method to compute which day the world will end. It is an algorithm | |
| created by the mathematician John Horton Conway, to calculate which day of the week (Monday, | |
| Tuesday, etc.) corresponds to a certain date. | |
| This algorithm is based in the idea of the doomsday, a certain day of the week which always | |
| occurs in the same dates. For example, 4/4 (the 4th of April), 6/6 (the 6th of June), 8/8 (the 8th of | |
| August), 10/10 (the 10th of October) and 12/12 (the 12th of December) are dates which always occur | |
| in doomsday. All years have their own doomsday. | |
| In year 2011, doomsday is Monday. So all of 4/4, 6/6, 8/8, 10/10 and 12/12 are Mondays. Using | |
| that information, you can easily compute any other date. For example, the 13th of December 2011 will | |
| be Tuesday, the 14th of December 2011 will be Wednesday, etc. | |
| Other days which occur on doomsday are 5/9, 9/5, 7/11 and 11/7. Also, in leap years, we have | |
| the following doomsdays: 1/11 (the 11th of January) and 2/22 (the 22nd of Febrary), and in non-leap | |
| years 1/10 and 2/21. | |
| Given a date of year 2011, you have to compute which day of the week it occurs. | |
| Input | |
| The input can contain different test cases. The first line of the input indicates the number of test cases. | |
| For each test case, there is a line with two numbers: M D. M represents the month (from 1 to 12) | |
| and D represents the day (from 1 to 31). The date will always be valid. | |
| Output | |
| For each test case, you have to output the day of the week where that date occurs in 2011. The days | |
| of the week will be: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday. | |
| Sample Input | |
| 8 | |
| 1 6 | |
| 2 28 | |
| 4 5 | |
| 5 26 | |
| 8 1 | |
| 11 1 | |
| 12 25 | |
| 12 31 | |
| Sample Output | |
| Thursday | |
| Monday | |
| Tuesday | |
| Thursday | |
| Monday | |
| Tuesday | |
| Sunday | |
| ## Page 2 | |
| Saturday |