Элементы дискретной математики. Часть I - 128 стр.

UptoLike

k
x = t
x = t
f
s,t
(x)
f
s,t
(x)=
s
x = t,
0
x = t,
f
s,t
(x)=s+1+max(I
t
(x),k1s)
f(x)
f(x)=max(f
f(0),0
(x),f
f(1),1
(x),...,f
f(k1),k1
(x)).
x =max(f
k1,0
(x),f
k2,1
(x),...,f
0,k1
(x)).
min(x
1
,x
2
)
min(x
1
,x
2
)= max( x
1
, x
2
).
k
V
k
(x
1
,x
2
)
V
k
(x
1
,x
2
)=max(x
1
,x
2
)+1( modk)=max(x
1
,x
2
)=(x
1
x
2
).
V
k
(x
1
,x
2
)
¯x = V
k
(x, x),
max(x
1
,x
2
)+1 = V
k
(x
1
,x
2
), max(x
1
,x
2
)+2 = max(x
1
,x
2
)+1,...
max(x
1
,x
2
)=max(x
1
,x
2
)+k = max(x
1
,x
2
)+(k 1).
k
k
k
K
V (x
1
,x
2
)
K
K
P
k
=[V (x
1
,x
2
)] [K
] [K] P
k
.