Rattrapage - LAMSADE - Université Paris

T(n)n
T(n) = 28T(n/3) + f(n) Θ(·)T(n)
f(n) = 28n2+ 4 log n
f(n)=328n3+ 7n2
f(n) = n4
99
Θ(·)n
c1c2n0
(T,r,p)T r ∈T p
T\ {r}T p k
pk(x) = (x k = 0
p(pk−1(x)) k > 0
(T,r,p)x∈T\ {r}k≥1
pk(x) = rbx/2cx/2
({1,2,4,6,8},1,bx/2c)
({1,2,4,5,6,8},1,bx/2c)
({1,4,5,6,8},1,bx/2c)

Θ(·)m:= n−p
i
m
n
Ω(n)O(n2)
Θ(n)