Enseirb, Filière Electronique, Semestre 1 Algorithmes et Structures

n A ={e1, e2, . . . , en}
SiE
ci
S1={1,2}, S2={3,4}, S3={1,3,4}, S4={1,4}, S5={2,4}
c1= 5, c2= 3, c3= 5, c4= 4, c5= 2
Si
niui=ci
ni
Siui
ui
ejSi
u1= 2.5, u2= 1.5, u3= 1.666, u4= 2, u5=
1S5, S2, S3, S4, S1
S5S2S3
S3
S5
Si
ejSi
Si

Sj
Si
Sk
ui=ci
n0
i
n0
iSi
S5
n0
i
n0
1=n0 2=n0 4= 1, n0 3= 2
ui
u1= 5, u2= 3, u3=5
2= 2.5, u4= 4
S3
Sj
Sj
1,2,3S1={1}S2={2}
S3={3}S4={1,2,3}1,2,3,5S1
u2= 2, u3= 3, u4= 2.5S2S4
S3

u0, u1,...un−1ui1, ui2, . . . , uip
i1< i2. . . < ipui1< ui2< . . . < uip
2,5,9
2,5,7,8
`i
ui
ui
`j`i
`i=`j+ 1
u= 1,3,4,2,8u4= 8 `3= 2
`4= 4
`i
`i=maxk<=j,uk<ui(1 + `k)
`i

ui
ui
i `i