Question

given a square matrix of N rows and N columns (1 <= N <= 1000) containing positive and negative integers with absolute value not larger than 1000. You are required to compute the greatest sum achievable by walking a path, starting at any cell of the matrix and always moving downwards or rightwards. Additionally, you have to report the number of times that value is achievable. N will be in the first line of the input. N lines follow with N integers each. You should output a single line with two integers separated by a single blank space: first one is the greatest sum, second one is the number of times this value can be reached.

Case 1:

For the input provided as follows:

5
3 1 -2 1 1
-6 -1 4 -1 -4
1 1 1 1 1
2 2 2 2 2
1 1 1 1 1

Output of the program will be:

15 1

Case 2:

For the input provided as follows:

3
1 1 1
2 2 2
3 3 3

Output of the program will be:

12 1
Write a python program for thsi question
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Answer 1

Answer:

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