Recurrence, Sorting, Visibility, Probability, And Algorithms
Recurrence in Running Time1 (a) Simplify the expressions
? (n 8(log n) 9 + 4e n (log n) 3 ? 7(log n) 3 )
n 8 (log n) 9 + 4e n (log n) 3 ? 7(log n) 3= n 8. log n 9 + 4e n .log n 3 7.log n. 3
let n8 =K, 4e n=m
log K n+ m.log n 3 7.log n 3
? (( n+k)(log K) + 3m (log n) 10(log n))
?(log (K n+k +n3m)/(n10) )
0(n) =1
0(log n) =lo…
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