b*****w
发帖数: 79 | 1 During the third interview : imagine an infinite chess board. If the horse
from 1 case, in how many cases can he possibly ends after 10 moves. You
actually don't have to give a number but a 95% confidence interval. pen and
paper allowed.
想了很久也没想出来。有人会吗？
谢谢 |
H*****l
发帖数: 445 | |
w*******x
发帖数: 489 | 3 想不清。。。
要很快猜个95%range的话, 估算最多 1600 = 20*20*4 （最大能跑到的区间，每个方
向最多２０）
然后最小的话我会猜个４００，猜测基本４个点能占一个。
[qi-lius-macbook-2:practice/]>>./hourse.x
8
33
76
129
196
277
372
481
604
741
and
【在 b*****w 的大作中提到】
: During the third interview : imagine an infinite chess board. If the horse
: from 1 case, in how many cases can he possibly ends after 10 moves. You
: actually don't have to give a number but a 95% confidence interval. pen and
: paper allowed.
: 想了很久也没想出来。有人会吗？
: 谢谢
|
x**********2
发帖数: 169 | 4 After 10 jumps, the horse could cover an octagon shaped area. The vertices
of this octagon is located at (+/-10, +/-20), (+/-20, +/-10).This is twelve
10by10 squares and four half squares. So, the area is 1400.However, every
time the horse jumps, the color where it lands alternate, the horse
therefore could only lands on the same color as it starts after even number
of jumps. This havles the number of squares where it could land. ~700 should
be the answer. |
C***m
发帖数: 120 | 5 Love this method. Plus a missing cross with size 4*20+1. Xiaoxiao's method
is incredibly accurate 700+81/2=740.5 AMAZING!!!
twelve
number
should
【在 x**********2 的大作中提到】
: After 10 jumps, the horse could cover an octagon shaped area. The vertices
: of this octagon is located at (+/-10, +/-20), (+/-20, +/-10).This is twelve
: 10by10 squares and four half squares. So, the area is 1400.However, every
: time the horse jumps, the color where it lands alternate, the horse
: therefore could only lands on the same color as it starts after even number
: of jumps. This havles the number of squares where it could land. ~700 should
: be the answer.
|
P****d
发帖数: 369 | 6 I really don't like Jane Street's interview. |
w*******x
发帖数: 489 | 7 数漏了半个。
确实能到范围内所有偶数点都可以到，这个好像不显然？只能说上限是７４１
481
604
741
x x x x x x x x x x o x o x o x o x o x o x o x o x o x o x o x x x x x x x
x x x
x x x x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x x x x x x
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o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
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o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
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x o x
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o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x x
x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x x x
x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
x x x
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x x x
x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x x x
x x x
x x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x x x x
x x x
x x x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x x x x x
x x x
x x x x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x x x x x x
x x x
x x x x x x x x x x o x o x o x o x o x o x o x o x o x o x o x x x x x x x
x x x
【在 C***m 的大作中提到】
: Love this method. Plus a missing cross with size 4*20+1. Xiaoxiao's method
: is incredibly accurate 700+81/2=740.5 AMAZING!!!
:
: twelve
: number
: should
|
L*****k
发帖数: 327 | 8 JSC感觉部分题还有些意思，但不少实在是太无聊了
感觉他们不是想要招最好的人，而是招他们喜欢的，比如ivy的小本
【在 P****d 的大作中提到】
: I really don't like Jane Street's interview.
|
k*****y
发帖数: 744 | 9 Great answer.
Also need to prepare for the question: what is your truely 95% confidence
interval?
【在 C***m 的大作中提到】
: Love this method. Plus a missing cross with size 4*20+1. Xiaoxiao's method
: is incredibly accurate 700+81/2=740.5 AMAZING!!!
:
: twelve
: number
: should
|
P****d
发帖数: 369 | 10 答案和推理过程都没有什么随机性..不用问confidence了吧。。。 |
|
|
k*****y
发帖数: 744 | 11 Well, I think they might probably ask:
Would you like to bet 20:1 on your answer 741 is correct?
Are you truely 95% confident that 741 is correct?
I think if you are only 95% confident, you should not make the bet; though
if you are more than 96% confident, then you should.
I don't know how to answer this kind of questions. But to be safe, I think I
might find a rigorous lowerbound A and upperbound B, so hopefully [A, B] is
my almost 100% confidence interval, and take 95% percent middle part(or
whatever part) of [A,B] as my 95% confidence interval. However the question
is how confident you are on your calculation on A and B, especially under
pressure.
【在 P****d 的大作中提到】
: 答案和推理过程都没有什么随机性..不用问confidence了吧。。。
|
C***m
发帖数: 120 | 12 Base on my experience, if they ask this question, it means I am wrong......
【在 P****d 的大作中提到】
: 答案和推理过程都没有什么随机性..不用问confidence了吧。。。
|
P****d
发帖数: 369 | 13 Then want bid/ask machine.
【在 L*****k 的大作中提到】
: JSC感觉部分题还有些意思，但不少实在是太无聊了
: 感觉他们不是想要招最好的人，而是招他们喜欢的，比如ivy的小本
|
b*****w
发帖数: 79 | 14 During the third interview : imagine an infinite chess board. If the horse
from 1 case, in how many cases can he possibly ends after 10 moves. You
actually don't have to give a number but a 95% confidence interval. pen and
paper allowed.
想了很久也没想出来。有人会吗？
谢谢 |
H*****l
发帖数: 445 | |
w*******x
发帖数: 489 | 16 想不清。。。
要很快猜个95%range的话, 估算最多 1600 = 20*20*4 （最大能跑到的区间，每个方
向最多２０）
然后最小的话我会猜个４００，猜测基本４个点能占一个。
[qi-lius-macbook-2:practice/]>>./hourse.x
8
33
76
129
196
277
372
481
604
741
and
【在 b*****w 的大作中提到】
: During the third interview : imagine an infinite chess board. If the horse
: from 1 case, in how many cases can he possibly ends after 10 moves. You
: actually don't have to give a number but a 95% confidence interval. pen and
: paper allowed.
: 想了很久也没想出来。有人会吗？
: 谢谢
|
x**********2
发帖数: 169 | 17 After 10 jumps, the horse could cover an octagon shaped area. The vertices
of this octagon is located at (+/-10, +/-20), (+/-20, +/-10).This is twelve
10by10 squares and four half squares. So, the area is 1400.However, every
time the horse jumps, the color where it lands alternate, the horse
therefore could only lands on the same color as it starts after even number
of jumps. This havles the number of squares where it could land. ~700 should
be the answer. |
C***m
发帖数: 120 | 18 Love this method. Plus a missing cross with size 4*20+1. Xiaoxiao's method
is incredibly accurate 700+81/2=740.5 AMAZING!!!
twelve
number
should
【在 x**********2 的大作中提到】
: After 10 jumps, the horse could cover an octagon shaped area. The vertices
: of this octagon is located at (+/-10, +/-20), (+/-20, +/-10).This is twelve
: 10by10 squares and four half squares. So, the area is 1400.However, every
: time the horse jumps, the color where it lands alternate, the horse
: therefore could only lands on the same color as it starts after even number
: of jumps. This havles the number of squares where it could land. ~700 should
: be the answer.
|
w*******x
发帖数: 489 | 19 数漏了半个。
确实能到范围内所有偶数点都可以到，这个好像不显然？只能说上限是７４１
481
604
741
x x x x x x x x x x o x o x o x o x o x o x o x o x o x o x o x x x x x x x
x x x
x x x x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x x x x x x
x x x
x x x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x x x x x
x x x
x x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x x x x
x x x
x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x x x
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x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
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o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
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o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
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o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x o
x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x o x
x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
o x x
x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o
x x x
x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x
x x x
x x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x x
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x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x o x x x
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x x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x o x o x x x x
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x x x
x x x x x x x x x o x o x o x o x o x o x o x o x o x o x o x o x x x x x x
x x x
x x x x x x x x x x o x o x o x o x o x o x o x o x o x o x o x x x x x x x
x x x
【在 C***m 的大作中提到】
: Love this method. Plus a missing cross with size 4*20+1. Xiaoxiao's method
: is incredibly accurate 700+81/2=740.5 AMAZING!!!
:
: twelve
: number
: should
|
L*****k
发帖数: 327 | 20 JSC感觉部分题还有些意思，但不少实在是太无聊了
感觉他们不是想要招最好的人，而是招他们喜欢的，比如ivy的小本
【在 P****d 的大作中提到】
: I really don't like Jane Street's interview.
|
|
|
k*****y
发帖数: 744 | 21 Great answer.
Also need to prepare for the question: what is your truely 95% confidence
interval?
【在 C***m 的大作中提到】
: Love this method. Plus a missing cross with size 4*20+1. Xiaoxiao's method
: is incredibly accurate 700+81/2=740.5 AMAZING!!!
:
: twelve
: number
: should
|
P****d
发帖数: 369 | 22 答案和推理过程都没有什么随机性..不用问confidence了吧。。。 |
k*****y
发帖数: 744 | 23 Well, I think they might probably ask:
Would you like to bet 20:1 on your answer 741 is correct?
Are you truely 95% confident that 741 is correct?
I think if you are only 95% confident, you should not make the bet; though
if you are more than 96% confident, then you should.
I don't know how to answer this kind of questions. But to be safe, I think I
might find a rigorous lowerbound A and upperbound B, so hopefully [A, B] is
my almost 100% confidence interval, and take 95% percent middle part(or
whatever part) of [A,B] as my 95% confidence interval. However the question
is how confident you are on your calculation on A and B, especially under
pressure.
【在 P****d 的大作中提到】
: 答案和推理过程都没有什么随机性..不用问confidence了吧。。。
|
C***m
发帖数: 120 | 24 Base on my experience, if they ask this question, it means I am wrong......
【在 P****d 的大作中提到】
: 答案和推理过程都没有什么随机性..不用问confidence了吧。。。
|
P****d
发帖数: 369 | 25 Then want bid/ask machine.
【在 L*****k 的大作中提到】
: JSC感觉部分题还有些意思，但不少实在是太无聊了
: 感觉他们不是想要招最好的人，而是招他们喜欢的，比如ivy的小本
|
EM
发帖数: 715 | 26 什么意思？展开讲讲
【在 P****d 的大作中提到】
: Then want bid/ask machine.
|
P****d
发帖数: 369 | 27 “好”有很多种解读，他们喜欢想机器一样精确的人，不是贬义，是说能够用人脑来完
成概率分析，有非常快的反应速度。来作market maker. |
