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In the recurrence relation for finding the optimal string distance when transforming the string characters do not match the distance x into the string y. When the d(i,j) equals:
1 + min{ d(i,j−1), d(i−1,j), d(i−1,j−1) } What does the case d(i−1,j−1) correspond to?
As we have seen, every comparison based sorting algorithm must
use at least
O(n log n)comparisons.
This is because the decision tree for the algorithm must have at
least: