Prove that after the execution of Cutting Tool on C(l = 2i ), only the l

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Prove that after the execution of Cutting Tool on C(l = 2i ), only the l − 1 columns C(1),C(2), . . . , C(l − 1) might remain unchanged; all others, including C(l) will have at least n − K/l of the entries +∞.

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