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Analysis

Let ci = O(c) be the number of cascading cuts
\(\Phi(H')\) = (t(H) + c) + 2(m(H) - c + 2), c-1 unmarked, 1 marked
\(\hat{c_i}\) = O(c) + (t(H) + c) + 2(m(H) - c + 2) - (t(H) + 2m(H))
= O(c) + 4 - c
= O(1)


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