I am coding and making a stopwatch using an LCD module and I am using buttons to stop and start the stopwatch. I was wonder when I start the code do I start coding the LCD module or with the buttons? Also, do I need an Arduino nano? Does it matter if where you put something on a breadboard?

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

Hazel has just finished adding pictures to her holiday newsletter. she decides to crop an image. what is cropping an image?

The a great imaginary circle, or reference line, around earth that is equally distant from the two poles and divides earth into the northern and southern hemispheres.