--discreteMath let’s examine FSAs whose transition functions are FULL BINARY TREES. We can call these objects FBTSAs to help you remember that they are full binary trees. The alphabet of an FBTSA is Σ = {0, 1}, the start state is at the root, transition arrows must go away from the root and toward the leaves, and all transitions out of the leaves are to a fail state (not drawn). Like a normal FSA, any state can be either accepting or rejecting, except the fail state, which always rejects.   Draw an FBTSA and give an English description of the language

--discreteMath let’s examine FSAs whose transition functions are FULL BINARY TREES. We can call these objects FBTSAs to help you remember that they are full binary trees. The alphabet of an FBTSA is Σ = {0, 1}, the start state is at the root, transition arrows must go away from the root and toward the leaves, and all transitions out of the leaves are to a fail state (not drawn). Like a normal FSA, any state can be either accepting or rejecting, except the fail state, which always rejects.   Using big-O notation, give an upper bound for the word length in the language of any FBTSA in terms of the number of states |S|. Please explain your answer.

1. A student wants to know the effect of 2 parameter settings (Number of iterations and learning rate) on the computation time of an algorithm. Experiments were carried out by trying 3 different values for each parameter, then seeing the response to computation time. If we know the experimental results as shown in the following figure, what information can we get? Boxplot of Speed (sec) Boxplot of Speed (sec) 0,8 0,8- 0,7 0,7- 0,6 0.6 0,5 0,5- 0,4 0,4- 0,3 0,3- 0,2 0,2- 0,50 learning rate 500 1000 1500 0,05 0,95 Niteration Speed (sec)

Please do all the questiosn if possible, that would be very helpful and apprecaited.

Please answer only the highlighted question.

Suppose the following Branch-and-Bound tree is obtained for a pure integer maximization LP: