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Destin Jones

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Q: What is 0.6 divide by 5?
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Why merge sort is adaptive?

Merge sort is adaptive because it can take advantage of "runs" that are already sorted. We call this algorithm the natural merge sort. Consider the traditional top-down merge sort: Start : 3421758906 Divide: 34217|58906 Divide: 342|17|589|06 Divide: 34|2|1|7|58|9|0|6 Divide: 3|4|2|1|7|5|8|9|0|6 Merge: 34|12|57|89|06 Merge: 1234|5789|06 Merge 12345789|06 Merge: 0123456789 With natural merge sort, we get the following: Start : 3421758906 Divide: 34217|58906 Divide: 342|17|589|06 Divide: 34|2|17|589|06 Merge: 234|15789|06 Merge: 12345789|06 Merge: 0123456789 As you can see, there is one less division and one less merge. However, note that the final division only divides one run (342), all the others are "already sorted" and don't need to be divided any further. With fewer (and longer) runs, there are fewer merges to perform.


How do you turn 0.3125 into a fraction?

0.3125 = 3,125/10,000 Divide both by 5 = 625/2,000 Divide both by 5 = 125/400 Divide both by 5 = 25/80 Divide both by 5 = 5/16


1.125 as a fraction?

1 1/8 125/1000 divide by 5 25/200 divide by 5 again 5/40 divide by 5 again 1/8 OR just divide by 125.