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In the description of lecture 2 you make a small, but important error.
You say f(n) = O(n^2) means function f(n) is always smaller than or equal to n^2, but that's not exactly right. For example, 2*n^2 is O(n^2), but it is always greater than n^2. So f(n) = O(n^2) means f(n) is smaller than c*n^2 for some constant c. Also, it is important to note that f(n) only needs to be greater than c*n^2 for large values of n. For example, n > n^2 if -1
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