mathematica calculated
the answere is 8
the answere is 8
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Scorpiour's Modding Queue (Modding Team)
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Are you allowed to round it to an integer? It should be 1 right I don't even math, kill me nowNeta wrote:
it's (√2+ √3)^100 so we should find integer first
(√2+ √3)^8 is 9602. so (√2+ √3)^8 's digit is 2.
Answer : 7
N[(Sqrt[2] + Sqrt[3])^100, 286] = 6.01896 × 10^49
6 i think
6 i think
hue I'm fool
60189565958534864246850581634349698760897425062497
ok I think neta wins
60189565958534864246850581634349698760897425062497
ok I think neta wins
I have no idea about this.
Maybe i'm wrong or not. it's too hard question
Maybe i'm wrong or not. it's too hard question
Topic Starter
ok next game~~
Trying to find out which maps the following three screenshots comes from!
each one may post only once, and no edit allowed!
the first one whose post is completely correct will win a ticket!
for pattern case, you must post DIFF link or MAP link with Correct Diff Name
Trying to find out which maps the following three screenshots comes from!
each one may post only once, and no edit allowed!
the first one whose post is completely correct will win a ticket!
for pattern case, you must post DIFF link or MAP link with Correct Diff Name
Topic Starter
not the best way but pretty close so answer acceptNeta wrote:
it's (√2+ √3)^100 so we should find integer first
(√2+ √3)^8 is 9602. so (√2+ √3)^8 's digit is 2.
and 2^x 's digit goes 2, 4, 8, 6, 2, 4, 8, 6 .....
so (√2+ √3)^96 is 6.
and (√2+ √3)^4 is 97.9897....
(√2+ √3)^96 = 6
6[(√2+ √3)^96's digit] * 97. 9897[(√2+ √3)^4] goes 587, 8382....
so digit is 7
Answer : 7
http://osu.ppy.sh/b/54581 INSANE
http://osu.ppy.sh/s/53451 storyboard
http://osu.ppy.sh/b/110915 extreme
http://osu.ppy.sh/s/53451 storyboard
http://osu.ppy.sh/b/110915 extreme
https://osu.ppy.sh/s/84014
First one, Extreme diff.
https://osu.ppy.sh/s/53451
Second one, Storyboard.
https://osu.ppy.sh/b/54581
Third one, Insane diff.
First one, Extreme diff.
https://osu.ppy.sh/s/53451
Second one, Storyboard.
https://osu.ppy.sh/b/54581
Third one, Insane diff.
Topic Starter
Priti wrote:
https://osu.ppy.sh/s/84014
First one, Extreme diff.
https://osu.ppy.sh/s/53451
Second one, Storyboard.
https://osu.ppy.sh/b/54581
Third one, Insane diff.
that it is
here's some fix about solution.
(√2+ √3)^8 is not integer i got rounding off to the nearest integer
(√2+ √3)^8 is not integer i got rounding off to the nearest integer
if you don't round you get a completely different answer but the unit digit is still 7 I thinkNeta wrote:
here's some fix about solution.
(√2+ √3)^8 is not integer i got rounding off to the nearest integer
I finally give up this one
In spite of 0 pending map, I still want to make it somehow, which turn out to only ask me for trouble.
hopefully Millihiore will come along with the task
In spite of 0 pending map, I still want to make it somehow, which turn out to only ask me for trouble.
hopefully Millihiore will come along with the task
Frostings wrote:
if you don't round you get a completely different answer but the unit digit is still 7 I think
Not a completely different it was almost near to integer. so actually digit doesn't change if i multiple 12 or not
anyway it was my mistake
Topic Starter
that it is, that's why i call his solution is a "tricky way"Frostings wrote:
if you don't round you get a completely different answer but the unit digit is still 7 I thinkNeta wrote:
here's some fix about solution.
(√2+ √3)^8 is not integer i got rounding off to the nearest integer
rezoons
But the unit digit of something rounded is not always the same as the unit digit of the number itself.Scorpiour wrote:
that it is, that's why i call his solution is a "tricky way"Frostings wrote:
here's some fix about solution.
(√2+ √3)^8 is not integer i got rounding off to the nearest integer
if you don't round you get a completely different answer but the unit digit is still 7 I think
Take 7.75. It's unit digit is 7 but if you round it, you get 8.
I'm not sure i follow the logic here.
That's why i pick (√2+ √3)^8. my solution doesn't follow logic when the sing of decimal is over 0.5 because it makes digit goes up like you saidrezoons wrote:
But the unit digit of something rounded is not always the same as the unit digit of the number itself.
Take 7.75. It's unit digit is 7 but if you round it, you get 8.
I'm not sure i follow the logic here.
and it should be really close to integer to find right digit answer
rezoons
Ok, so if i understand your logic.Neta wrote:
That's why i pick (√2+ √3)^8. my solution doesn't follow logic when the sing of decimal is over 0.5 because it makes digit goes up like you saidrezoons wrote:
But the unit digit of something rounded is not always the same as the unit digit of the number itself.
Take 7.75. It's unit digit is 7 but if you round it, you get 8.
I'm not sure i follow the logic here.
and it should be really close to integer to find right digit answer
(√2+ √3)^8 is nearly equal to 2. So you deduce that the unit digit of (√2+ √3)^8x is the unit digit of 2^x
(√2+ √3)^8 is 9602. so (√2+ √3)^8 's digit is 2.Problem is (√2+ √3)^16 is aproximately equal to 92198402.03 and it's unit digit is 2 and not 4 according to your reasoning.
and 2^x 's digit goes 2, 4, 8, 6, 2, 4, 8, 6 .....
so (√2+ √3)^96 is 6.
So, i still don't understand.
We solved everything by PM. I was wrong. Sorry for all the post in the queue.
Are you sure you put √2 and √3? nah you didn't mayberezoons wrote:
So, i still don't understand.
Sorry if i keep insisting but my computer calculate 8 as the unit digit of (√2+ √3)^100 so i'm still not 100% satisfied.
It doesn't matter if your computer calculate 8 or 7. because √2 and √3 doesn't end it's limitless. so it can be 7 and it can be also 8.
here is not Math queue so we'd better stop talking about this here
please PM to me if you can't understand
EDIT : if is there someone think my answer is wrong. here's site for you
http://www.wolframalpha.com/
word : (sqrt(2)+sqrt(3))^100
Topic Starter
New Games is about time ~~
Topic Starter
First game :
try to find out which maps these three screenshots come from, you should list all three correct beatmap links, also you may not edit the post.
the first one who post the correct answer will win a modding ticket
try to find out which maps these three screenshots come from, you should list all three correct beatmap links, also you may not edit the post.
the first one who post the correct answer will win a modding ticket
first one: https://osu.ppy.sh/s/30266 Yue's dff
2nd: https://osu.ppy.sh/s/55000 Paradise Kiss' diff
3rd: https://osu.ppy.sh/s/96338 HW" diff
2nd: https://osu.ppy.sh/s/55000 Paradise Kiss' diff
3rd: https://osu.ppy.sh/s/96338 HW" diff
first: https://osu.ppy.sh/s/38394 storyboard
second: https://osu.ppy.sh/b/100375 storyboard
third: https://osu.ppy.sh/s/96338 storyboard
second: https://osu.ppy.sh/b/100375 storyboard
third: https://osu.ppy.sh/s/96338 storyboard
Topic Starter
correct~~Regou wrote:
first: https://osu.ppy.sh/s/38394 storyboard
second: https://osu.ppy.sh/b/100375 storyboard
third: https://osu.ppy.sh/s/96338 storyboard
DIFF #1:
https://osu.ppy.sh/b/70213
DIFF #2:
http://osu.ppy.sh/b/142462
DIFF #3:
http://osu.ppy.sh/b/173866
https://osu.ppy.sh/b/70213
DIFF #2:
http://osu.ppy.sh/b/142462
DIFF #3:
http://osu.ppy.sh/b/173866
Topic Starter
well, seems i need to prepare the next round
Topic Starter
orz wrong order, maybe you need a reversed ticket =v=Flask wrote:
#1 https://osu.ppy.sh/s/21754
#2 https://osu.ppy.sh/s/41178
#3 https://osu.ppy.sh/s/14561
got itSharlo wrote:
#1 https://osu.ppy.sh/s/41178
#2 https://osu.ppy.sh/s/21754
#3 https://osu.ppy.sh/s/14561
Topic Starter
Okay here is the last quiz:
49 is a special number so that 49 and 1+2+3...+49 are both perfect square. Find the next number that satisfy this property.
(Perfect square is defined as a number which is n * n where n = 1,2,3 ... )
49 is a special number so that 49 and 1+2+3...+49 are both perfect square. Find the next number that satisfy this property.
(Perfect square is defined as a number which is n * n where n = 1,2,3 ... )
40*20