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The entries a ij of matrix A are computed according to the formula: a ij = 1 for i = 1, j > 1, a
The entries aij of matrix A are computed according to the formula:
aij = 1 for i = 1, j > 1,
aij = 0 for i > 1, j = 1,
aij = (ai-1, j + ai, j-1)/2 for i > 1, j > 1
(a) Estimate the number of operations + that are necessary to compute aij. Apply dynamic programming approach similar to the treatment of Pascals triangle.
(b) What are the minimal space resources required for your computation. i.e. how many computed values do you need to keep in order to compute aij?
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