Question: 1 . 4 Problem ( 4 [ 1 0 mathrm { pts } ] ) Problem 4 . Given the following directed

1.4 Problem \(4[10\mathrm{pts}]\)
Problem 4. Given the following directed acyclic graph. Use dynamic programming to fill in a one-dimensional lookup table that counts number of paths from each node \( j \) to 14, for \( j \geq 1\). Note that a single vertex is considered a path of length 0. Fill in the lookup table for all vertices 1-14; and in addition, clearly show work for vertices \(9-14\).
Answer.
1 . 4 Problem \ ( 4 [ 1 0 \ mathrm { pts } ] \ )

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