Programming Assignment 1 Solution

$30.00 $24.00

Requirements This rst assignment lets you get familar with submission of a simple (but correct and e cient) algorithm to the CompSci 320 automated marker. This assignment tests your ability to process and model input for a real-world-like problem. You should already have su cient algorithmic skills from the prerequisite course CompSci 220 to complete…

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Description

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Requirements

This rst assignment lets you get familar with submission of a simple (but correct and e cient) algorithm to the CompSci 320 automated marker. This assignment tests your ability to process and model input for a real-world-like problem. You should already have su cient algorithmic skills from the prerequisite course CompSci 220 to complete this assignment.

It is worth 5% of your total course marks. (Note future programming assignments will require much more work to obtain the same number of marks so you are encouraged to make a serious attempt on this one.)

Problem: Shortest Cost Route to Navigate a Grid

Consider a grid where each cell has a di erent cost to travel across the regions. Assume we can only travel and stop in straight lines between the corners of these cells. Note that the cost to travel along a border between two cells is the cheapest of the two. We want to nd the cheapest route from the lower-left corner to the upper-right corner of the grid under these constraints.

For example in the following 3 3 grid, one of the cheapest routes of cost 2+3+4+2=11 is highlighted.

We will read in a sequence of problem instances. The rst line will contain two positive integers n and m, both at most 400, denoting the dimensions of the grid; here the number of rows is n and the number of columns is m. We then are given n lines of m non-negative integers representing the costs for the cells. All integers will be separated by spaces. The last problem instance will have values of n = m = 0, which is not processed.

The input should be taken from keyboard/stdin/System.in.

Sample Input:

3

3

0

6

2

1

8

4

2

3

7

3

5

1

3

9

9 1

5

10

1 8

4

2 7

8 2

6

0

0

The output for each instance should be a single integer (one per line) denoting the minimum cost to travel. Print these to the console/stdout/System.out.

Sample Output:

11

17

1

Submission

For this assignment you need to submit a single Python source program. There will be three inputs of several test cases of increasing di culty. You can resubmit up to 10 times to http://www.automarker. cs.auckland.ac.nz/. There are two marks awarded for test cases 1 and 2 and one mark awwarded for test case 3.

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Programming Assignment 1 Solution
$30.00 $24.00