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6. (10 points) Design and analyze asymptotically a linear-time decrease-conquer algo- rithm for the following problem: INPUT: two strings s and t; OUTPUT: the

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6. (10 points) Design and analyze asymptotically a linear-time decrease-conquer algo- rithm for the following problem: INPUT: two strings s and t; OUTPUT: the longest string w that is both a suffix of s and a suffix of t. EXAMPLE: movement, lament ment.

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