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16.1 Limits and an Introduction to Point Set Topology. Mathematicians have, especially since the 19 th Century, wanted to make the subject of calculus rigorous, which means completely logically defined. We have called a function differentiable at a point if its graph "looks like a straight line" at that point.C program to print a string using various functions such as printf, puts. It terminates with '\0' (NULL character), which is used to mark the end of a string.

# Cs61a hw longest increasing subsequence

A HW or lab submitted to the submit branch by its deadline requires 80% correctness on the release tests for full credit, except HW7, which requires 50% correctness for full credit. A HW submitted after its deadline requires 100% correctness on the secret tests for full credit, except HW1/HW2/HW3 which require 50%.

We construct an increasing subsequence of (an ) by induction; take n0 = 1 and inductively define nk such that ank is greater than a1 , . . . , ank-1 . We assume then that (an ) has no increasing subsequence, and we shall show that instead it has a (perhaps not strictly) decreasing subsequence.

3 Design Paradigms n Greedy n Dynamic Programming n recursive solution, redundant subproblems, few, n do all in careful order and tabulate n Divide & Conquer n superlinear work n balanced subproblems