Three questions, two prediction one in time series and regression, one algorithm one.
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How many integers n such that n^n is a perfect square are there in range [100;400] ?
Two tubes (infinite right circular cylinders) A and B of equal radii 3 cross at the angle 90 degrees (i.e. their axial lines cross at that angle). What is the volume of the intersection of A and B?
A man has two children, at least one of them is a boy. What is the probability that he has two boys?
The details of your past projects
Segment a long string into a set of valid words using a dictionary. Return false if the string cannot be segmented. What is the complexity of your solution?
Predict flight_delayed=1,0 from past flight data (airline, lat/long of origin and dest airport, time stamp of departure and arrival time...)
A parting of n is a list P=(a1,a2,a3,....) such that a1<=a2<=a3.... and n=a1+a2+a3+... For example for n=5 the partings are: (1,1,1,1,1), (1,1,1,2),(1,1,3),(1,2,2),(1,4),(2,3),(5) Define X(P) as the number of 1s in a parting and Y(P) as the number of different numbers, for example X(1,1,1,2)=3 and Y(1,1,1,2)=2. For a certain n, show that the sum of all X(P) is equal to the sum of all Y(P), for example for n=5 both are equal to 12
I have a strong intuition of knowing what needs to be done, but not always
How would you investigate a drop in user engagement
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