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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).

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