http://osu.ppy.sh/s/17275 DystopiaGround - Silence, In the Rubble
Storyboard
Storyboard
Looks a little far fetchedOniJAM wrote:
17275
good you got itOniJAM wrote:
http://osu.ppy.sh/s/17275 DystopiaGround - Silence, In the Rubble
Storyboard
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
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
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.
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
Frostings wrote:
if you don't round you get a completely different answer but the unit digit is still 7 I think
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
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
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.
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 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.
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.
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
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