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There are one hundred closed lockers in a hallway. A man begins by opening all one hundred lockers. Next, he closes every second locker. Then he goes to every third locker and closes it if it is open or opens it if it is closed (e.g., he toggles every third locker). After his one hundredth pass in the hallway, in which he toggles only locker number one hundred, how many lockers are open?
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Financial Software Developer

Interviewed at Bloomberg

4★
Nov 25, 2011

There are one hundred closed lockers in a hallway. A man begins by opening all one hundred lockers. Next, he closes every second locker. Then he goes to every third locker and closes it if it is open or opens it if it is closed (e.g., he toggles every third locker). After his one hundredth pass in the hallway, in which he toggles only locker number one hundred, how many lockers are open?

Write a program that given a 2D integer matrix (default value: 0) and a coordinate in the matrix, it sets all of the elements diagonal to the coordinate to a value of 1 (so that if you wrote it on a piece of paper there's an X with the coordinate at the center).
avatar

Financial Software Developer

Interviewed at Bloomberg

4★
Jun 9, 2011

Write a program that given a 2D integer matrix (default value: 0) and a coordinate in the matrix, it sets all of the elements diagonal to the coordinate to a value of 1 (so that if you wrote it on a piece of paper there's an X with the coordinate at the center).

This was a question that I already encountered at another company. You have three lightbulbs in one room and three switches in another room. You can play with the switches as much as you want to, but you can only visit the room withthe bulbs once. How can you determine which switch corresponds to which bulb?
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Financial Software Engineer

Interviewed at Bloomberg

4★
Feb 23, 2010

This was a question that I already encountered at another company. You have three lightbulbs in one room and three switches in another room. You can play with the switches as much as you want to, but you can only visit the room withthe bulbs once. How can you determine which switch corresponds to which bulb?

#1: We have a linked list, but it is special in that it can have pointers down, as well as next. Any node can have an arbitrary number of links down as well as across. Write a function that will "flatten" this linked list so that it does not have any down pointers, but all elements remain in order.
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2010 Financial Software Developer

Interviewed at Bloomberg

4★
Feb 26, 2010

#1: We have a linked list, but it is special in that it can have pointers down, as well as next. Any node can have an arbitrary number of links down as well as across. Write a function that will "flatten" this linked list so that it does not have any down pointers, but all elements remain in order.

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