I just want to Find the minimum path sum in matrix. The minimum path is sum of all elements from first row to last row where you are allowed to move only down or diagonally to left or right. You can start from any element in first row.Program should be in C language.     First we ask the user for the number of rows and columns of the matrix, and then we generate a matrix of random numbers between 0 and 9 according to this number of rows and columns, and we find the smallest total path in this matrix. The rules are stated above.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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 I just want to Find the minimum path sum in matrix. The minimum path is sum of all elements from first row to last row where you are allowed to move only down or diagonally to left or right. You can start from any element in first row.Program should be in C language.

 

 

First we ask the user for the number of rows and columns of the matrix, and then we generate a matrix of random numbers between 0 and 9 according to this number of rows and columns, and we find the smallest total path in this matrix. The rules are stated above.

 

 

Example  outputs :

Enter number of rows (0 to exit): 3
Enter number of columns: 5

9 7 8 [3] 8
8 6 [1] 2 3
4 7 5 [0] 8

Minimum sum:4

Enter number of rows (0 to exit): 5
Enter number of columns: 7

6 4 8 9 1 [0] 3
3 0 5 9 [3] 4 2
3 0 8 1 [1] 3 3
4 2 0 7 [0] 9 3
7 5 9 9 3 [0] 3

Minimum sum: 4

Enter number of rows (0 to exit): 5
Enter number of columns: 10

5 1 6 4 9 8 [0] 3 0 1
8 4 7 2 8 4 [2] 5 3 7
6 7 7 2 9 6 6 [0] 8 4
3 2 2 6 1 9 4 [2] 6 7
2 8 0 7 6 6 6 [1] 2 9

Minimum sum: 5

Enter number of rows (0 to exit): 10
Enter number of columns: 10

1 8 1 7 6 [1] 2 5 8 6
9 6 6 4 8 [2] 7 1 4 0
1 1 9 5 [0] 7 8 6 9 7
8 5 5 8 [1] 3 7 3 3 8
1 8 9 3 [2] 6 4 0 5 6
7 0 9 3 0 [0] 9 5 7 8
2 5 6 0 7 3 [0] 8 3 4
5 4 7 6 9 3 [1] 5 3 4
2 8 1 2 9 8 5 [2] 7 1
4 1 6 4 6 5 [1] 9 5 8

Minimum sum: 10

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