Question

Data Science

Ques 5 Provide a complete problem formulation for the following. Problem formation should include: initial state, goal test, cost function. They can all be a few words or sentence for each. [20 points]

b) You have a program that outputs the message "illegal input record" when fed a certain file of input records. You know that processing of each record is independent of the of her records. You want to discover what record is illegal.

a) Using only four colors, you have to color a planar map in a way such that no two adjacent regions have same color  Verified ### Question 41127  Data Science

Given the start vertex s = a in the weighted directed graph below, use the following table to show the result of Dijkstra’s Algorithm (reference Section 8.4).(12 Points)

### Question 41126  Data Science

Briefly describe the two different ways to find a path given the start vertex and the end vertex in a graph. (6 Points)

### Question 41125  Data Science

Given a graph G=(V, E), what is its adjacent matrix and what is its incident matrix? (8Points)

### Question 41124  Data Science

Assume that an array has n elements. Prove that the complexity of the binary search isO(log. n). (10 Points)

### Question 41123  Data Science

Assume that an array has n elements. Prove that the complexity of the sequential search isO(n). (10 Points)

### Question 41122  Data Science

Assume that the elements in the integer array a are in ascending order. Complete the recursive binary search function below that returns the index of the target value t: (10Points)

### Question 41121  Data Science

a) What is a priority queue?A priority queue takes item's priority into account. When items in the queue are accessed, the item with the highest priority is accessed first.
. Answer the following questions: (12 Points)
b) What is a binary search tree?
c) What is a heap?

### Question 41120  Data Science

3. Complete the integer queue class defined below: (12 Points)

### Question 41119  Data Science

Complete the integer stack class defined below: (10 Points)

### Question 41118  Data Science

1. Assume that f(n) = 2n² + 3n +1. Figure out M, N>0, when n>N, |f(n)|<M|n²l, i.e.f(n)=O(n³). (10 Points)

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