09 DP3 and Heaps Polygon Triangulation Solutions

09 DP3 and Heaps Polygon Triangulation Solutions - First...

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k k-1 i+1 i j C(i,k) = if k-i 2 (j = i+1) (j = k-1) if i+2 j k-2 C(i,k) = min Exercise: 0 C(i+1, k) + l(i+1,k) C(i, k-1) + l(i, k-1) C(i, j) + C(j, k) + l(i, j) + l(j, k)
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2 Triangulation exercise cont’d In what order should the table entries be entered?
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Unformatted text preview: First, main diagonal and then each successive diagonals in upper triangle 1. Diagonals: C(i,i), C(i,i+1), C(i,i+2) = 0 2. Diagonals: C(i, i+j), j = 3, …, n-i What’s the space and running time of this algorithm? S(n) = Θ (n 2 ) T(n) = Θ (n 3 )...
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