drummyfish/less_retarded_wiki
5
1
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity

Update

Browse source
This commit is contained in:
Miloslav Ciz 2024-12-10 20:41:11 +01:00
parent c5b4bdd5dc
commit 63ed9985ce
20 changed files with 1896 additions and 1861 deletions
Download patch file Download diff file Expand all files Collapse all files

8
exercises.md
View file

@ -224,7 +224,9 @@ Bear in mind this is not a school test that's supposed to decide if you get to a
117. We keep hearing about "first world" and "third world", but what about "second world"? Why is that term not used?
118. [Jara Cimrman](jara_cimrman.md) invented a brilliant self-powered mine elevator design that worked as follows. When miners came to start a new shift in the mine, two of them would enter a down-coming lift, which by the weight of the two workers started to move down and lifted another lift up; in the up-coming lift one miner, ending his shift in the mine, would come up (as he was lighter than the two miners in the down-coming lift). However they soon realized this system had one fatal flaw. What was it?
119. Use only the logical function [NAND](nand.md) (which gives a negated result of [AND](and.md)) to implement the [XOR](xor.md) logical function.
120. Did you enjoy this quiz?
120. We have a rubber rope 1 meter long. On one side there is an ant. He starts moving over the rubber towards its other end by the speed of 1 cm/s, however as he starts to move we start stretching the rubber also by the speed of 1 cm/s, so that after 1 second it's 101 cm long, after 2 seconds it's 102 cm long etc. The ant keeps the same speed. Will he ever reach the end? How long would it take him?
121. Today in [slavery](work.md) I tried to fix 6 computers: I ended up destroying twice as many of them than I fixed. Every time I destroyed a computer my boss told me I'm a retard. How many times did my boss repeat I'm a retard?
122. Did you enjoy this quiz?
### Answers
@ -348,7 +350,9 @@ sin(x) / cos(x) - log2(2) = tg(x) - 1*, so we get *tg(x) >= 1*. So that will hol
117. The term "second world" used to exist -- during the Cold War "first world" was used for the "western world", countries allied with US/NATO; the "second world" meant the "USSR world", and "third world" everyone else. After dissolution of Soviet Union the second world basically stopped existing, or rather merged with the first world, and since then the terms got more of an economical meaning rather than political.
118. Two miners were coming down but only one up, more workers were entering the mine than were leaving, so the workers started to pile up in the mine. Cimrman solved this by advising the workers to eat a lot before the shift and then work hard to lose some weight so that two heavy miners would be able to lift two lighter ones.
119. a XOR b = (a OR b) AND NOT(a AND b) = ((a NAND a) NAND (b NAND b)) AND (a NAND b) = (((a NAND a) NAND (b NAND b)) NAND (a NAND b)) NAND (((a NAND a) NAND (b NAND b)) NAND (a NAND b)).
120. yes
120. Let *p* be the ant's relative position on the rubber, i.e. the fraction of the rubber he has already traveled; when *p = 1* he'll be in the finish. At the beginning his speed in fractions of the rubber per second is *v = 1/100*. As the rubber expands, the fractional speed decreases (he keeps moving at 1 cm/s but the total number of cm to be traveled increases): we can write the speed as a function of time: *v = 1/(100 + t)*. Now the fractional position *p* over time is an [integral](integral.md) of speed, i.e. *p = integrate 1/(100 + t) dt = log(100 + t) + C* and the initial position is *p = 0*, i.e. *C = -log(100)*, so *p = log(100 + t) - log(100)*. Now we just have to compute when *p* reaches 1, i.e. *log(100 + t) - log(100) = 1*, which gives us *t = 100 * (e - 1) ~= 171.83*. So the ant will reach the end in nearly 3 minutes.
121. 3: I destroyed 4 computers, so he told me 4 times I'm a retard, i.e. he first told me I'm a retard (this was not a repetition) and then repeated it three times.
122. yes
## Other