Comments on: Crouching Terrorist, Leaping Maiden

By: hi :D

hi :D — Fri, 14 Nov 2008 15:04:27 +0000

i know! miss loi! you can turn on your crazy frog! then you wont fall asleep! HAHAHAHHA!

By: Li-Ann ByPassing

Li-Ann ByPassing — Thu, 06 Mar 2008 16:30:08 +0000

Hmmm...i did manually counted the no. of leap years on the list to lessen the mistakesss i will be making hehe.
Its offical...not only do i sucks in maths, my calculator is faulty too....sigh

By: Miss Loi

Miss Loi — Thu, 06 Mar 2008 15:25:58 +0000

FoxTwo, if that really happens, think the first thing the students will say is 鬼啊!!!

By: FoxTwo

FoxTwo — Thu, 06 Mar 2008 11:30:50 +0000

Ah but think of the good you'll do in the future! Students 500 yrs from now who've only read about the famed Miss Loi in history books would be able to be tutored personally by The Legend!

By: Miss Loi

Miss Loi — Wed, 05 Mar 2008 15:41:12 +0000

Michael J. Fox, Miss Loi has pressed and pressed the same buttons on her calculator a few times and the answer is still 73049 days = (10435 weeks x 7 days) + 4 days

And did you really manually counted the number of leap years on the list???!!!

By: Mic J.Fox ByPassing

Mic J.Fox ByPassing — Wed, 05 Mar 2008 15:17:30 +0000

Hmm...I see, i got my first step in counting the numbers of years wrong. No...its no dubious circumstances, I google on the list of leap years in between...hehe. I got 1 entire year missed out hence wrong in the weeks and days...(well, think of the bright side of stucking in 2007, its ur oldself who is doing all the teaching in that timeline, which means more time to shop...)

P.S.Shouldn't 73049/7 = 10435 weeks and 5 days?

By: Miss Loi

Miss Loi — Tue, 04 Mar 2008 15:40:37 +0000

FoxTwo, are you asking Miss Loi to abandon her current batch of students, and at the same time deprive 500-800 years' of student batches their Mathematical Salvation???!!! Such heresy! 5th Grader Bypasser, Miss Loi has marked your assignment (see above in red). Looks like she's gonna be stuck in 2007 for awhile .... arrrrggghhhhh .....

By: FoxTwo

FoxTwo — Mon, 03 Mar 2008 11:24:28 +0000

If I were faced with a real time machine, I'd teleport into the future, maybe like the year 2508 or 2876. So in other words, just anyhow whack some numbers in, as long as it's greater than 10,400 weeks (200 x 52)

Wouldn't want to go too far into the future though. There might be no more humans left on earth (all migrated to other colonies among the stars).

By: 5th Grader ByPassing

5th Grader ByPassing — Mon, 03 Mar 2008 06:21:14 +0000

hmmm... From 1808 to 2008 needs 200 years and there are 50 leap years in between and 150 typical years.

In an Arithmetic Progression with a constant difference of 1 (i.e. 1, 2, 3, ... ), the total number of terms n is T_n - T₁ + 1. For e.g. there are obviously a total of 10 numbers between 1 to 10, so the total number of terms is 10 - 1 + 1. Similarly between 1808 and 2008, there are total 2008 - 1808 + 1 = 201 years!

However, since both 1808 and 2008 are not counted as full years and both are leap years, there will only be 48 leap years.

Yes, you're right that 1808 and 2008 are not included in full calculations, so there are a total of 199 years we're considering in the first part of the calculation.

Out of this 199 years, you should get 199/4 = 49 leap years (round down NOT up) BUT the full criteria that define leap years are:

Year is divisible by 4 AND not divisible by 100.
OR
Year is divisible by 400.

This effectively means that 1900 is NOT a leap year. So number of leap years from 1809 to 2007 is 49-1 = 48 (somehow you got this right under dubious circumstances -_-)

Since teleporting from 1808 Feb 29th, there will be 306 days to complete that year and we still require 60 days to get from 2008 Jan 1st to 2008 Feb 29th. 1 Typical yr = 365 days or 52 weeks and 1 day. 150 Typical yr = 365 X 150 = 54750 days. 1 Typical leap yr = 365 days + 1 (366 days) 48 Typical leap yr = 366 X 48 = 17568 days Days we have up to this point = (306 + 60 + 54750 + 17568) days = 72684 days. 7 days = 1 week. 72684 days = 10383 weeks & 4 days? will you need 10383 weeks & 4 days to teleport? :)

CORRECT ANSWER:

Total no. of typical years = 199-48 = 151
⇒ # of days from typical years = 151 x 365 = 55115 days

Total no. of leap years = 48
⇒ # of days from leap years = 48 x 366 = 17568 days

Days from Mar 1 to Dec 31 1808 = 306 days
Days from Jan 1 to Feb 29 2008 = 60 days

Total number of days = 55115 + 17568 + 306 + 60 = 73049 days

Total # of weeks and days = 73049/7 = 10435 weeks and 4 days.

You sent Miss Loi back to 2 March 2007! She now has to teach the 2007 Syllabus all over again!!! AAAAARGGGHHH!!!!

By: Miss Loi

Miss Loi — Sun, 02 Mar 2008 16:46:00 +0000

Heeee ... the task of saving Miss Loi is never straightforward but it's not that difficult actually. Here're somemore hints:

You cannot treat 1808 as a full year since it's starting at 29 Feb.
Neither can you treat 2008 as a full year since Miss Loi needs to get back to 29 Feb (NOT 31 Dec)!
A typical year has 365 days - what about those NON-typical years? What's the date of this entry?