Problem 2732. Construct a precedence graph from a code segment
A hypothetical MATLAB code segment containing n lines is given in the form of a cell array. The i-th cell contains the i-th line of the code. Each of the lines contains simple arithmetic expressions.
Now, construct an adjacency matrix of a graph containing n-vertices. The i-th vertex will represent the i-th line of the code. There should be a directed edge from i-th vertex to j-th vertex only if the values generated at i-th line are used in the j-th line.
All the variables in the code will have single letter names (e.g.: a,b,x,y etc).
Example:
C = {'a=1;' 'b=1;' 'c=a+b;' 'c=c+1;'};
Here, the cell array C contains a code segment. The first two lines are independent in the sense that they do not use values generated at any other lines. The third line uses information generated at line 1 and 2. The fourth line uses information generated at line 1,2 and 3.
Thus the resulting adjacency matrix will be as follows:
mat = [0 0 1 1; 0 0 1 1; 0 0 0 1; 0 0 0 0];
Definition of adjacency matrix: http://en.wikipedia.org/wiki/Adjacency_matrix
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