n
r
P
I
⋅
⋅
=
,
F = P
⋅
(1+r
⋅
n),
m
i
P
I
k
⋅
⋅
=
,
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⋅
(1+i
k
⋅
m)
2
1
k
2
k
1
i
k
i
k
⋅
=
⋅
j
l
1
j
j
k
m
i
P
I
∑
=
⋅
⋅
=
,
m
m
l
1
j
j
k
k
j
i
i
∑
=
⋅
=
D
H
= F
⋅
d
⋅
n,
P = F
⋅
(1
−
d
⋅
n),
n
r
1
r
d
⋅
+
=
,
n
d
1
d
r
⋅
−
=
,
r
1
d
1
n
−
=
,
n
r
P
D
H
⋅
=
F
F
P
...
F
F
P
F
F
P
P
n
n
2
2
1
1
⋅
+
+
⋅
+
⋅
=
,
F
F
D
...
F
F
D
F
F
D
D
n
Hn
2
H2
1
H1
H
⋅
+
+
⋅
+
⋅
=
F
F
d
...
F
F
d
F
F
d
d
n
n
2
2
1
1
⋅
+
+
⋅
+
⋅
=
,
P
P
r
...
P
P
r
P
P
r
r
n
n
2
2
1
1
⋅
+
+
⋅
+
⋅
=
)
n
d
(1
F
)
n
d
(1
F
2
2
1
1
⋅
−
⋅
=
⋅
−
⋅
m
k
)
i
(1
P
F
+
⋅
=
,
1]
)
i
[(1
P
I
m
k
−
+
⋅
=
,
n
r)
(1
P
F
+
⋅
=
,
1]
r)
[(1
P
I
n
−
+
⋅
=
k
k
i
k
r
⋅
=
,
k
n
k
k
r
1
P
F
⋅
+
⋅
=
,
n
r
c
e
P
F
⋅
⋅
=
,
1)
(e
P
I
n
r
c
−
⋅
=
⋅
k
k
k
)
i
(1
ρ
+
=
,
r
1
ρ
1
+
=
,
c
r
c
e
ρ
=
,
1
ρ
r
k
ef
−
=
1
1
k
k
)
i
(1
+
2
2
k
k
)
i
(1
+
=
,
2
1
k
k
ρ
ρ
=
,
2
ef,
ef,1
r
r
=
1
1
m
k
m
)
i
(1
P
F
+
⋅
=
,
)
m
i
(1
F
F
2
k
m
1
⋅
+
⋅
=
,
∏
=
+
⋅
=
m
1
j
j
k
)
i
(1
P
F
,
m
m
1
j
j
k
k
)
i
(1
i
1
∏
=
+
=
+
∏
=
+
=
+
m
1
j
j
inf
inf
)
i
(1
f
1
,
m
inf
inf
)
i
(1
f
1
+
=
+
,
1
f
1
i
m
inf
inf
−
+
=
)
i
)(1
i
(1
i
1
inf
real
nom
+
+
=
+
,
inf
inf
nom
real
i
1
i
i
i
+
−
=
0
t
t
0
r)
(1
)
K(t
K(t)
−
+
⋅
=
,
)
t
(t
r
0
0
c
e
)
K(t
K(t)
−
⋅
=
(t)
K
(t)
K
2
1
=
,
2
1
t
2
2
t
1
1
r)
(1
)
(t
K
r)
(1
)
(t
K
−
−
+
⋅
=
+
⋅
,
2
c
1
c
t
r
2
2
t
r
1
1
e
)
(t
K
e
)
(t
K
⋅
−
⋅
−
⋅
=
⋅
∑
=
=
m
1
j
j
(t)
K
K(t)
,
∑
=
=
m
1
j
j
M
(t)
M
(t)
K
,
∑
=
=
n
1
j
j
N
(t)
N
(t)
K
,
(t)
K
(t)
K
N
M
=