1
>1.
.
D Q3._.i)‘»..W"r\.l_\/‘\’\Q~/~v~j\V~’,)
CW
%
M
/\
<
N [)
am:
=
0
~-~-——-
=
0
~._.________@
M
~
\*
LL);
X
n\4am_9J>@i;2L9 “\/\€\'\"|Q<\
_,m;W..J.h»~..~J~
°~-1 + ‘PL
‘J
T,
(
Q)
TLUU
Qqg-“A
'
I
‘g A
1
I
1: -3.
FAn~q®
Q:
w:'»»® Q;K-
I
“TM;
0
-0L\¢,\ -\-0\\\ru=
can
°~\
\
»
1):
*~
0.
C5 21;}-.
4‘
5
W1»
Juod-J»
1».
.;
= Q
‘AI;
ck-.iu~“;w\...,i
mu»
‘W
W»
Bu
(KL
'>-Q-.,;g\\o@m<»~1\>\
1»!§k-
wmrw '
)5»
m
W
L.x‘»\1AJ‘-L»
»»,.“\»0s1-Mm,
Pvh
:0
(X\\3,__-(1L\p|
a-\-
0
)~<MJ>
Tb»
~\
d\Ju\Mv;MMk
s%§*'?'1
C“""(J"‘*"/‘--\J‘~-\»-_l!-F,
--1‘
<+/\~<*’%v~\
1-
¢\3»;M ,
m
c..»"<»b,.
W»
-1\#~+ \>\ o\‘w\
01* \_._t
U0)
d.»@
@»~@~@ 1
1
hIC_5__\M)C_L
=
-i 1
4‘
0
»-W-~~»——~-@
'°.
--~———~"‘®
\9
.\3'\lv\/\
-"
3
O.;C3..C1.1,(.;__
Qgb} -¢\;\;\_
4
(Q ‘
.
'#C_"$
—
»-----~~-
£9
r
+~
‘u\C}..\1}'(.\_ V
_¢\ ‘
bl‘)
...i;1
_____________,____________
+
3
+ B1‘) ‘F
.
5
‘<\-vw¢
\\~v=1
@\r.~
\
<----—--———--'*"""‘“"'“‘
0'~\.\)'§--‘-\"5,\'h..
.1
0~|.C1,u;-wiltc-x___‘
°\;_‘n;
-
(7‘~1\>L
1
\-
Anioi
"
LA
\:¢J.,...»,
_._.m__..,..._ Qya,‘b 1—
(\ 1 ‘g;
(9 0qC;_.0\ Q (.. _.__.____1_1_)
;\-\
\>":a_§-1,..\s>'y,C\_
,
L\17_
‘
\, § +
‘
'_
+ C‘
Q1-\>1-°\3\ox
*
0
_
M».
‘-5'\\k\>1_C.;..\>"5(1_)__\:|(Q1Q'; .._¢\3v(1‘) 4.
\_
M,
;._;¢
'v> J>wL¢\
lkk
-
K0.1\;;Q.o,;\)1\
o
TS‘-
4
CM»,;J,)c»,
C_\
J\M4,m..u.
mp.
C.L~....w5,_J..,.
__
*1
Q-1
ox"
AMAB.
-.‘_
V
+4 M~v~+>%;»~~1~= Fn33'*\#-A-;-~j
:1) UM
Awu.
0U\JL \J¢1Ul».~.IL
-{
\’l'1.!-|u\.l»-
MQ.
id.»
l~q,.~x....)<
4;
dwiv-v~1-.,..,<)<
<5».
T*-~..»,‘>.4v.
in
d¢12»'m;w..._x.,
,3
Tb.
‘
. A
‘
L
;‘§!\) ‘Nu. WA
\»\\>M'§
€F»~>-\»¢‘\.~..\
~,;>Q
9%
Hm-3
M QJ) .,%
“kw-.\
-a
9%
J~..w>
-»
<=~
-A.
--
—
C.9,....,_~,.:>
M
in \:<>.L.1
‘Jr
A
‘
--Q.
'\~< Em»
K»
o~ 11»-M
3%»
J1-Mu
~‘~
\1o.Q4.1 '
/'>‘¢-°-A
°>
.
.
.
Mm.
31*»
C09-'-ks-v\\-J)
o~_d1-iu/-~AM.....a‘<
QJWMM
Odd,
1»
4
(__‘;w\.
rm
m
,
<1-kw.“
W1
M;
1'3-4
-}L'qLu)»
#4.”;-Ma
uxbw;-MM: k\1:‘>
vi.
Q\:~u/vw \,j
\..~»mA
A
J\~\.w\.
JxJZ.|jv\
wl
U")
‘Q,
‘
31*»-
Q-QMM“ *“~I~
<
’
"W
"‘~
I
1
5l
L
(v .1.)
‘I
~11-;_
cl,»
‘FLU-..~.1,._i;
d\Li?LI\,4,“_§_~._4-,__Ak
bu :lJLL
on
C\
;
£15-t-§L.
CL.
<\1
h*/‘i=1;
C1
COlS1'\A/v\/\'Y\
’
»\
*5;
A
Q94: .,‘_,\_g' x K1);
“*1
'\ ‘ml
/‘hi-'”~\
\
_<
“K
IO“
bx
C\
Q\
i\
C-
QL
Bk
Cl
an.
{,1
C}
,
bx
C,‘
41}
-{M3
Q]
2.:
n.
J> c0.1.a)\.
C,‘/\‘\/*3
-‘C9
t
Q.-9,-\
u UJF
)2 ow-. 1'.
~{_
'\‘\ wk
4%
“Q1-JL
b\*\-\'-\
R
O\.
_/$J~.b-~\
“
A
A. Lg
0.
,
O
“£1/\.
)\-0 DJ
V (1-QAAJL
Hun.
/\
\-v\..~.U1$‘,1.L
“Q
il)\-
-
°‘ Q
c-_
JR.
V‘
M
»._1
iitlv--{,/X3
(11
.
.---i.._____.._..-—---____ ~
'.’_\_é-_>_+§1:.-_-
\-it
:1--.
¢-1(-1&1.-§*.>"~.
Q1_\
a"l.I"-
be.
0.
2
**“\n
v\_
L\
O\.~\
\
Ba
QfQ,,W
,)\,lu_
A
,_£
,9.-.0,
m
,
’- 2.94.-JJL~j
1*-‘((5
J\
[email protected]~,
-
(A
‘L5
,
u
4
QILWMW,
On.
.
-(“ax
OK
:
(\‘)
eQ(~v_Ll)
Jx
<1“
uh;
.4
A
0».
.P\().
‘
7'
Qi\AL\
1.
0.45 ALL;
‘\' ‘I-Kl P‘i.1. “P ’\'
“L5
—
-
~
~
-_—.-\~ °‘~L1\P\i_"n
*4
Qwx
*’J\¢-.»\.A-5
L
{{4;\.O\MAi M5,
,“_
Th
Q
Q
<=\=1¢-4»;
‘.\\('-far-’\
£‘i£‘.&.
U“
0%
(RU
C~
13"
.4‘
-L,‘&t¢*:v\t¢&
RU)
L“
CLy\\\
'
vkrlm
r)\\J\
~'-.-.
*
.-u!
La-9.~i.C)‘~
-
"
3L»..g~\ "Y\-\‘~z\0~"\
-
—-.(1.L,n
-
dm .
*--(QL|“
Qdl
\
A
“
L-K.“
0
R L3
\‘~1»"-
CU)
u¢~d;)>
\\l'\'\'\.)
“J_
Di/7.
Cl..l‘\}_'.L\‘|‘v\-1;/v\4:>..../\.-1%
L;-H
7)
La
M
\§»'»'\{,)‘“?>¢‘f
Q1"~V~.Al)
km
, I
wlull
o--J><,>-0»
'P\o\j-$..,i:
.')>ftn.AA.L
Voxi
M,
L1
W».
,
um
QQ
5\
.50
0\>1'o\.'.,._|_1
ova.
<~>\¢LuL
31*»
V
w\¢CLAx$_-_
'
\\~.\\1A
omm
'
\..
‘
--~I..w\ @
Y\\Y&
\>».M;A:,¢§
w-.,.lI}¢\-!.»;;l__\°‘)
cum
'
l¢.m.
;.
<\\ 53»'~.».1
-Q
A,
\>.m,¢JJ..\i
LL,
R15
B3
<1.-\z¢.¢_iM
0%,
<§1JQ¢...o.
Wm
CH5.
|
’t. --._..___._.--._._..-_
“>--w~1?>a My
,¢uw\.v- "f\.
,
J'>'u+*’~' _- “'“'*1~F'*'-
'4:
La
-r\¢~»~_
KM
)>¢vJu\M.
vwu.1I_ln$_
Us
Q
i¢-1¢u>4_
1'
’
-
Q
AAQM
I >
’
1
‘
\v~\
vs
v
1
-
.------»-1—-—n
¥
gig
erg
A
B
a,
a2».a--)>-v.u-*J-
~r~d2$.u_Js
~{_ _~'\:lr.AY\
r
W
L
7
(\\
mun»
=
<M<(m-¢hM$>
M
4,,;
1
<mam»4.¢u\\
\x\\;‘ Wm
,3
k
(,w<\w~>,. (3Lli(p\“‘)
wq
<&.a
c
= =
.
Anxun
.
V
-\
1
ws
.7
P L
'
"
7
» 1
ml» we?‘
(<1-*
3
\Z‘.<>wum
sq
"
1
U
Available at www.mathcity.org |=
»
\ %
ML
‘L
u\,
s c.1:
'
W
°*’
L“
.
~-
B3
““‘-
'1
‘F"l1&
C
'm’)\.
C.~..;\J.u\
wm“,
-Yxno.
k")
~41
N mm)
mm £5
?
M1.
\‘u._
‘\£-1'
\\A2'\'\nQ1!/‘I8 M
Q,.u}\~
<»-ii‘
Q
L,‘
W1
QHJK
/1-uu___Q_
é)-Q
KM
ggx’
{L
.,
Wk
6:“;
n
_
q“ Q
OJ}
/3>\'\ra=‘\.u
:1 ,
’
<5~A-\'\P\\
=\‘:
(ink
\J=~4-wcn‘
M
':'\
U“
\--A. ‘F
E)
\>j
'\>-7\»v~k¢L
=9 d.u.9‘_.
%_,;L
1
8‘
wum
‘*
\\<|~_u._
M1‘
e.v_¢<~.~?,Q_4I_
M
P\
G.
(M dd»
U,
“~—'~
(
6
;~_.
A1-Wu‘:
0»
S:
H
PM
hm“
-J1,
J}
all
WM
33>
‘A-5A/\"(
J
H
&O
Mm
>
RAK
,
m
J-1§
"Wrv\,~4j1¢\)\C.-*,.
-\,q,‘,¢_~.$
M
-
H»
7-XL
V
§\K\ $“'“"\"M
mu
W»,
M-
=
F\ __~_,,
Mt
Y‘-P*——>>A~k\m~
‘at.
4
.. w)w\M.\€.1vw\=d,_~\
M
-\,,
M’
M
1~= W4.
V-
wxwx
'
MW
>11
8%
Q-—€)
=
m
<,
*\~\W&
V
~:\-m>U_f\) 3
Q
,3
iv;
=.
(hi W3
(
3X
UML; M
4
‘
Available at www.mathcity.org ’
'
.'
*s~'+>»-..~»..»-¢~r.\-.-,_~....¢=..~_\‘ ,
-.~
.,
mg x
1,
I‘ *
1 L
FQFL
74,,
B‘
aw
’
am;
‘~’-"LLux1I&....._L.
U
'id‘3U\+!;\
5
M
4
en
~
.
\
J4.*(h\+;h§;§§)
=
3:31-
"LR
“kw-\~.
11
~
=;::1~[z
11
:1
>
PM,
|
5
FQ#
“*5
a
$
I
\_¢~h
iakl
Ma)
*3
'\
<1-+v~
"“
~
_
‘m+§
5,3
C+\\
Claw»
_
2
: C\c\-\-d.¥..|,§d_*$l‘_y___$c:_\k_3c_5k N ‘(VJ
dw%
=
&
<1d\~\)C+-$-\(__j\.\
-3
’§-»~®»x@ <,~4»\(A+M
‘““
°\~*<'\-~% rel="nofollow">1
M. L
1;
<14,\A _,|_d‘k‘_
YMm+m]L
=
%
t
!
A
K.
I
1&6
|
§
E 4*.
YEW.
.
{"2 :1 m. 6“,
5
¥;=[k K]
A
_~_
_:
“'~'
S
M
‘\' 1
:1
.
I
I
‘fl
|
-‘r M
i
6‘ 44I 1
4
%
5
W
.
3'
Q
£P\-~
M
*
our
4111
.¥~-\-‘5
<1+§~
ch-\,;
Q-M»,
_\»-H5 .
C».-h
-
'
L
A (AA 9»;
(Q*§>U° *5) “
(a*€\ -(\'v”kc*\‘\
':.
(c+\~\(=1~»',\~(A+\¢)(¢+\\)
(C-'b\\)\‘n'\"))
'\’§§\,d*rVJ
~\<
(<1-;\L)L
s. _l.“~§§+\\>+1)(¢~M
£<»~-~';)&~.+~;\ A-k\¢,-\-'j)kr‘.‘r\‘—§\
L
|
\C+\\‘)(_c\~q,§§+(<1\-\\\(€+\\\
'Hn\»J
M
X <§\+Y~
A
on-Q
-
<1aMf\
=
~) 15
4.
1
.'\'l‘;\.a.\~u\4,.$\-K
.~\¢h.\(rm»\]
¥»,--5
C+\\
(’\+Y~
‘*""§
5*‘)
: \c*k
i‘
\ u
&)t¥nc~\\
-»~...._..*__@
(C4-\»\\¢\~§\+\&~\L\(c~\\)
du(:\+M -[d¢A(¢\~n] d~4J\((\fB\1
.3
I
U
A.v;
Q
.1"
9"“! M \.
1
'§.g
1’,
=
'\ \> ,-\
L
1
V
:~;=..
.:."|!'
1,
,=
1-=
. . -
..
*-1'
iv.-‘Y:
..=
".~
\\ ‘
1.3‘-I-'
-15.‘. U "UL ‘J1 -».*. ~.-,1.
'
>
,
:9“
5 l
“*6
Q.
V
dl_*U,\1_R_%1.§
\‘\~A..».
'
(c~\~1(\n'$)-\-(¢i+\<3
L
1
Lu;
'
K“-~§\\&+~,\~u.v;)ga\+\<)
-
€-»@~\®
S__J_5.
’
\~'§
as-§
= '
.
1
I
~\
\<**‘i>L-U=+"nkc+m
L
\'\'\-\)
.
\>'\-"3
:L
¢*v\r\
-
(H ‘L-XL
_
‘Q1-8'
P\%~$-
.
(cv\.,)U,+” A‘ (d
‘
OQQ
\7+§
c+k
¢+Y~3
.
»
"
'
H 1. % ‘vb
Maw’
5
I
‘"'cvv§
ya“ .\.
‘HQ
b~')
¢
»@
$4-3
J.“
V
Mm
“mm
-um
\<»».;)u.~-n~4\~»,;La+\q
\~M§>L+k\»~m<~»~\
>_
U\*~%‘>)
'
:;_
é;
§.@_J,\,)U»r;n_,\4*»¢\(¢.,\,.\
(c+\O(\»\-5\ + (<>\+v~)‘
9,» 'L
‘
<=>~~%>
'AaikLP\+rb§'
=
Lc~\~>\¢~r,)».\~\~n\<~\_q H
»
<-=»m\=m +u.~m-Mn
» <\-+s>u~\~\
(¢+\~\\\.+;\
* \<>\ +\#)L
1;
-4—-
i
(D
i
1
i
,,~._;
cx
.
1..
I
P‘
Kc.
M
°~
<§~}£<.
03"-+\oC.
ACTCAI
\’
'
<1]
(
0\\ §-MA BC
4-A" 1
wm
1*kkhk
W
'$fM+'3\¢\
mg», am.
' i‘
1§1+5'\'~ 1
é
‘1\~+ K‘
ii»
L
1
@3+\o¢
APE
§-5+-;v~
1-‘
_\_
7.
K
r
»
a\r.+<;¢k
\¢c+-<1‘
‘$\"\*\* J
1\v\§+Y~\\
1
A
Y0}"l"1_'\’
P\q_J‘€;~
"
‘
2
Lc\c+c@l +\\§~v-M
AAA
Vt»;-;»\
<>\\.+\<,.1
‘~
‘")
Uura
&‘-wt +\>c
*
'5\\
<>:'&¢-\-\>'1'*S\\.
<>~¥\\»c\‘»\-[ij .\.§\L
(Ac-»C
¢-\"J\'\
1
‘
1;.
t
%\, '
‘Q
Q
I
Y
Ml’) <1.m\+m‘ 4
‘
"
‘»
wu\‘~».e‘>
--
+51)
3~4)£\P\1+l.P\$
=
d4_k\P\-vQ>§
(\~0\
‘\
-[: ~21
50%-
:1
\’L~.... -
:
P\*t§ N no
‘
Q K
*
:
5
C.-\\
‘kl BE‘)
\_c-».k
>
'
-
\'+)
'\\¢\-§ J,
1
1
Aw.
Lc+k
"\--ss‘+u.+-m¢+\A\
‘L
U\-1:5)
\+§
‘<\~§
1
I
Q-Q‘
‘
(¢~~§>U»~1\+k\@+s\k<M\¢) 1 ‘
<¢+\.»\Q~sm»\m\¢~\\\
<@~\~W-~-ax + k<1~\<>‘
a_
5°
‘
A.liU\+§\
<¢~§m.--,\
(-~s\‘~k\»+->\
:
‘
P‘
:
1
B
_
4
L
‘
‘(c-\,k\(o\+§~)+ \d+v.\\c+\\\ Haw
m, +))(z‘+V~ Y”
‘:1.
5]
Q
3
¢
‘*3 1
“
¥
w
1
s
X“ \'~“
~\-5)
+
(cX+\¢‘)1
(
"H
o§+\a'L
o.\¢+\=>8~
o\¢A+c_l
\>c+A‘
"';‘+:\~
%'>+a~<
1L\\§+\<\\
5\\+v.‘
=
*3
(¢*&\\Un
-
¢
1% ‘
\:x\Yr»\ aux o~§+\,\~_
1:
-L&<1\+c1\\
onga-\|V~
1C.+
K3.-*§.,1.‘\\/~.
1c§~n.M\.
‘
1¢5{4.¥K‘§ 13¢-\--1A\
23"
H30
r
‘In:
v
--
’
\
-
|<,
p
1
§§)Y1f\%*%;_ :1a§+‘»c.
0&4-¥)\3
{1v~§+1bh.
10.3-+lkv.‘$
5+-31]
[§‘~5\~
“N-
:*°~+<4 F‘
A
‘_°‘i*1*‘~
‘L
1-
m
1
“H4
->\~-Hf
A\»+\»¢l+1¢\']+1\a\L§§§¢,3\L
,o\C»~LA+1c§*rL
\
+ \\§».\u~.
.
Mr. +~»~§+1.\§-\+§+3\'_\-
@~
1'><+1~h=
‘
\nc-rd +1161 +L¢l¥.+')\\+\(
L
L. -».
‘Yam
M W‘~1v~r>~§\
°,:*“'*M§ J'U°"‘*§'l*§\“ K
°*""\"\"'1°\"'1+7_\»¥ +§§+5Y~ =
¢
o.c+cA-&1r.1;»,1¢l\\+\~Ii~\L\\
Y
,
\>¢+<£"+1-3c *1-:\\¢~g\~~v.l
_
*6)
%~A<3
ch-*(P~‘+1f\B +2.‘)
<‘*i\*+@>k ¢
\l QM
‘M
F“1~~4~
qM,b)
',
M
.2
"Q
I
Hm
V
-
I
U
L.;,
=~\2 '-‘-
A
%~
i\-“Y1
\(7-'3-Zn)
-
0
=
~L +1&~4
R
-L~w
2.
i\+1\i1\ A-1.L\‘\-~10) %
l!..--Q
AvaiIab!e at A
www.mathcity.org 5
L~\?>\
‘I. -\ M‘ 3 1%
(‘.0 4|
3
0
-—\
C
-\~\
2.
‘>39-1'
4>=\3
Lu;
xx
ax
1_
-\
0
'5
ii; 1
_2_
\
‘
H
o
-\0 -\'5 \‘“ \"\ A-\
+(‘\ -\-H) +(0 +1..)
2_(L_o)
2-U-)-+\'5+1
1;
1
\l
1
11
A
-\-\
\
3
(
+\§
-._...-%_._._.__~..._.._ _.
u\\) ~
-L
( 1.
1'
ii»
_ L
:
A
L
1
S’
‘ N
\$
\
-‘L
H
\€
Lgk
V
-S
(
-
Merging C
S’
(‘*\"“§°\*‘§’ \\~
=
6
+¢
\1
S
\S
-L\ -+1.
Y, IS
S
*1
-S
\
1
((10-'$o_\ -\-LK\s+_‘\»\-\-((_\°__(hb)
=
.‘(-\~\
=-
A
-§
-(.\
?~\
=
4.¢(\-1.)
+ ¢(\=m)
__(>o+Lu'o -£410
-60-+\‘8o
=
\2.o .
'1
:\/33,1:
and maths
W. i v
£355
iv
+>\1~+n»x»~
L
'5
'1
H
U‘)
\
1.
*1
3-\'
‘)1-3%
"‘
-L
5
0
‘*\
‘Q31. ‘- L
4
L_6..t
1.
3
[§>.n1
M
\
r
3
~LH
o
1
1
3
1
L,
\ an
‘
1
:
\o
1
'}»1_
-:.
I
_
‘1
H
S'\ ‘L__H‘ '}
\¢o
R1-R
llibsi 5
x
Q
Q
S
\1
o
u
~1\
\-
\
.. \
Y
0
M»
g
H
'
R"‘7*"'5
l
i
I
u
1.
iv-_\>,,~_,_,;_;,,_Q
S 1.
1».
O-Q *
-as
i1,
\\
\‘L
\\
" 3'!
\\
2.
\u
S
ix‘?
5}‘ \~
a\‘*2‘ is
wc» -—\1.H‘
\\\
$
9~V1-111,
-o
\» g
'1
"“’"*"Y‘?~'~“~
.
\0
\\
\v
s
z.
9
$51 -~\1».»\¢'\\~*r\1\S'S'-Z-»)
\\
'1‘ \“
1-\-‘A
\ \\o
4:-
1L)
H35
-
=
5(--1%-\ ’+n.\'s§) +vH\\1iL)
=
-—\‘\S'o~\-K7-0
'7\\L\
—\
-\*\$o+\\‘-H
2
A
I
:
_1QL —----i.__--i-»--_-
>
K“)
3
1
\L f
._-L’
O
\
\
V
$3.»
L
"\
5
1
\
\
u
0
3
_
\
H
31$?-
uiaz‘-“\\ -100” \
'\
3
\
Z
i
K
1S
-;-1_(_\
\
\*
.»
‘5
>
1"
*
\
‘*
M
K‘ ‘
=-
.-
Ha-1,) —$(\L~\)'+ 1{\1~\) us -sus»-~1&~~\\{
‘E
‘E
= ‘II
‘Z-
_1_K'1--'l§ J,-LL)
-1. °\ 1.
K-MU
‘
'
.
»-—--——--_.-.-.--.---—-——---
Available at www.mathcity.org
1
Ligl;
\-A's—‘1 (\‘\'\)
\\
_
D
\
\
3
0
~1
3
~.c»
\\
...}h \
5&2“
‘\ L423;
A
=
-
-1
M1
3-
0
\
»\
\
\
3
0
-3
;@
-1
3
\
!\
-1
3
0
‘
-\
\
0
€
-3-
\
o
'-'1
k
-‘1
\|‘
'5
R3‘-Q‘
=--.\
=s-x\ -"I .-
\
3
\
\
\
'4
‘
2.
O
—‘\
-u
w
2 1.5-
-:~
R1-§l\
-J1
0
‘\2_
‘
R}*-'R\
?>\
J‘ a
\(,_\L 0 -__-¢_._._...¢_-—i--_-
(N) *
5.2%:
q
‘H
\1
-L
\
*’u
N
...(
1
\\\$
\d'\
-\l
L‘
3.10
\\‘
-1'4
-
Hi-§
'\“3\1.-(.
‘
La 1:>=\ u
~
A
~4-
\Ҥ
\q-¢
_\;_'
7-Jo
ma
~u,
*-4J\.~.l,.j
i_‘
A
__(
n_
\
qr.
IH4
1'
‘L
mi
\
L
N
11¢
mg
1,
'
n.
\
—\
-3
11
0
R141‘
--\L
"\
1‘
O
9\3__"LQ\
H1‘;
o
‘~11 -'..1 i
-Q
‘-\
11
-\
1L
-L -H.
4%,”
-\-1 an
~11
W.‘
\
‘Q
.
¥\‘\1-
=
\
\
L
\
M
A
I» K
""\'\l lo
‘C\,‘c1‘_)Q»1
\
\‘¢v
,
H
\'='L
37
’
W
\~\
\.1
31
-\ _\
-n» P\]..'LQ.\
__\-I
-as
Ra-HR\
<J\\e
~\
t
—\“n.
we
»
W
wa
Q
Q“
;
-~%)--\)"\
(_|.)(-\\'>k¢nu)\1_
=
9._\‘~\R,
.
4-x\r».,._(L_;,i
=
CA1
<11»
,1
E
,\,W__
~\
I
,
-—$
as
\
-\1 -11
'2’ W
YR
‘\1-
1.
\
'Q_\
'
~
~
>
L4?>(>
43
MU)
_v»n_(\'!-9+
,.;
“ -\*=n~\\1»\) in
-3"L.QS“\'L
1».
‘___,__._____.._---—--——
1
1
lw)
\
\
\
..<
\
\
,-\
~\
-\
\
__
\
-\
\
-\
~\
—\
... \
\
.-
\
-\ \
\
\
1
3151
Ln. Y.
A
2.
\
\
\
-\
-\
"\
o
0
-1.
\
.
I
"\
—‘-
\
\
l
L
1>v¢
1
C1-J“
°
Q
_L
U
\
-1
0
u
..,\
0
-'1.
0
__-1
¢-
A
\AJ'.»d<\~MJ:
<*_>L\€¢.~_¢\;_7
\@
C.
,
¢_
_)>\\¢\»
\
K
A\¢.§’~J~°‘-‘J K
R
K
+-C.
I
CI4-C,
U
0
-_-_-__
I
C'1+¢-\
1
(“:C|.,:())
Q
fx
1
\
-\
CA.
.\\")
'"
~\
-_-
‘
'-\
\
aw.
(M
\
"\
\
A
_
\
‘g
J4!
“\
...\
s"\
1‘
'~\
s:_C.K
H-<»d\
H357
¢
.-
Vi
9412:-
"0.
\»
1
A
e
E
3
k
v~
d\
e.
Q
C-A4-'J.u~. ,
AMC
an,
\~\v~‘
*5
.\‘a
Sn
Cu.
.
'1:
M
M
A
o\
‘3
|§
C
B;
’
\1
T)w».J>\>.,Av.
I
0c\><-
¢\,kl
s*~\*
@~\ t..____...__...--._..__.
\o
W)
B‘
on
-0-\>
O
C
-c
O
;
O 4
SQ»
LQA
,_, /'
o@\> ';-OOC. -\»-co -Q
0 -:
<1
b
0 l
-—'\>
Y
-C ‘
C
Q
\-\.A A+b>
:
-A
=0
¥
ck
C.
f)\,|;&A,_)1\i,,);Q
'
:(_\;\“° c\ 0
B3
0
.'
B
(
~,wH _
\c.W
') \{_ \W .
l
€.\v!‘>L _
>%\,1
-.
(45% <
‘E
§_,(I:\ 2
1
:1
O
'=-
O
1 1
A.
J ‘1
\ A
n
D
-AA.
0%
5|
0
5-
-\,_
Q
W“)
2
_
O
0
m
\»
c.
\
£4-Q.
(1
\
C4-a.
\>
\
*1"
\
1
i
:.
D ~
2&2-~ I
Mk
Q
x
¢\»»\-_
C
\
$+(
m
\
$
\
C-um
onkw.
c
\
‘m-'rC-H).
Ox
\
LC+m+\
$
\
‘A~\,+(.
’c
Qka
3
1m+k+¢
C‘-\-C.;_
I
Q
V
*
I
I
1‘.
b
\
c
@(¢a-r\»-\-¢.§\
G.
\
\
k
1
\1
Y
Q‘
2:
C ’
: h1#\+L)(0) A
“4_\°+c_
.
3
C‘:
Q3
\
-
Q
AM»
Q,
\
kw-(L
~
\
<1-vmbx
__-1
Q V
--—_-_i._,----.--i.
Avaiiable at wwwmathcitv-0Y9 .
X-.
L1
‘
Q3
?'
Jwvx
“"3
“'\U\k Cm
m\n
‘nr
‘E
‘pl.
0;
i
5
°
=
C-L
511*: -
A
Led.
=
\»c
CL¢nC1~.\>
_._
.L.
»
1-
<-_
:
j‘ ._ ..
i
\ -(11-Z
be bc of
A
C41
ELM
¢?
.
I '
5°
P\1_
.
_".‘
9~\_:Q~7..
0
mm»
Sc.
.L.
:;'O
-\——~L-’ b Q
cx
.
J
0}
Q“)
”
0\\g>CK
Q‘-
\>
'-'---\—-k°> 06¢ Z11-:'.
-
0L\o
Q"
$1‘
O-Mp
\_(_
(_q~
L- C
C-1».
0.-\>
(I-0.
<-\-
-=
_. 0
\'-1
\»
(
Sm
-
.
L"k'§’:
Q
- ‘D
\,_¢
lC-0;
‘~.-
L
c_¢ (K-Jo
¢- ¢
,
Avaable at
ww'\'rv.n1_athcit),'.org
-1-M
\-L’ Q-
‘»\L\D ,i
':
‘
\-(..+€-¢\~a\-\
‘
JQJ0
C--‘~'3~
o\+m-\+\,-;
C
c'°“
*~¢
'n#b~b-<~c-m
C.\ -\-KC\_+-‘C 13
A
‘ll-¢
<1--5
-
I
La
1
Q
‘
C-(L
‘ .
C-on
-<1-\v
on-M
5-Q
1
I
Q
\
\
_
'
4
s
[;\:'.0
I 3 1
Q-\,
.
5.
v_\C.\':-Q
\>-J.
C-11-
4
\-=.
¢—v~
<*—\°
C-m
0\—\n
\‘-~£
0
=
+—*_____
X
U313
A
Q}
Q/‘L
u.
Q
Hm
‘
O .
‘3Ic.\\,
C
C
.
$4,. ..--
A :
LI.*
0.
0:.
“AL
5
kl
3/ CD-
C
(LL
c/a‘:
0.0-"°}
=\
0. k C
A I
A
I
y
ii"
kg;
ct .
"
-M\..\7-§1»yl(Q3’°"1°“"'-.
E»
cg
.
9)
-
o~\»<_(
\e°" 1';
Q
aw
~»\“““'
043 .
H H
.5.
‘i
0*/kc.
\»
L,‘
\»/C
c_
Q‘
C/(M,
\
,
,.»1‘/5‘
K
:0
0.
_._-__..~._._________
)
QV
It
R“!
\
a
C»,
=6
‘ii~:<%>\Q§-y 9:‘ “V
‘L
C»?
\
<81» _._-.
Ltt
‘$30
\
-G0
QM»
\
<24»
U5-;:."l’
‘
A-':.
ii;-01:
\"I‘»§6
$+}.~\»-\~G:~\»
1
A
‘
\
\
Clo
\
\
G-5*
‘
I
(HEY
‘L
6
5-5&0
\
C: 6
<»i
\
<1;
\
Qqk
\
G:
R\+R.;
w
1
;
‘l’
C:-\
mill
on
<1»
+
=
O
‘MatmIily.0rg|
‘
Merging Man and maths
_
‘J 3
1
3*“-I
0.1.1
1 6.11.14
:
Q1‘? 9:3‘. Y
SJ}. -.-_
Qw
CJY
'0 i
’-ML A
LU.
am M?
=
Gmuk
c.-1
c;,=.?
ab}:-j
Cn1.Y
C-.Y
.
1.
R.
€>;_.Y
Y
C..>.a\
014-$¢.§&
C=.1.\l
Q=>tY-"9'*‘:‘Q
%£:.a
1:
igglw
C-n.Y
‘$314
0.1.;
*1»
Q1‘,
(;.1\>
Q
1:
~
-
*1
QLY
"
CALW
=
Cry-»$;:~6 A
cl 2C3
"3
s.
c\"C\
0:1-S.-iv
-
GM-Y
.‘¥‘~l*
A
Z1.
1
L
C-JA
$;.':.\
C»-wk .
wx my
'1-1~\\
“Y
‘%
clv
cm
~@---i-__-----—-——-
km
\C.:>.1
5-"ML
%»(»\+83
¢.,,\\
~'».\§
2-~\\»+s>
\(,_\,(
‘I:-';-‘(
q>'-““"%3
= 0 ‘
‘%£~&.-
\_a’1:
A
C»;
€»~_.a
O~\¢.
‘S-~:-..\>
i;-AM-S3
-.:
\
QM
I‘
‘kmv
~
.3-'~I~\"'$\
.°~¢-~\""5)
I
MHZ»
F
0'»
)
~*
\
Q»-1
$."...1
$.,;~\(,,$ *¢,Jg;__$
<*-x»
$4»
Mus
0”
5*“
$*~»Y¢-'>8+C.»>\1‘i§;.g
C-u
RML
I
A
A
r. ,.r
+ G.}$;S
i.;..¢c.-,3
C.>,.1
2-Q4
Qdug
Cw
ivy
c,,\,\,<,;\;A3
-Q
1
‘{-
3
1
CW
T-;.YC,5g
‘5-.;.Y
I
Q-bl
$,;,,¢
$V=I\J\
" C-‘ml
f
%°’\‘
W
¢.-Y
9;»:
‘*3’ cu
“"3
"*
Q;._,,,{
<1»?
we
Q?‘
¢>Y
sw
¢,Y\
V
.
Q_;,J_
I
=
C-53(0)
A
j
-.
Q»:
’
two
CJ.~...,_fh 0)»? ._‘_C1;_'j1
O+()
1 4
+%,.\ (o\
0
-.
S.
1
6.}
sq.
s<..(\,,-g)‘
G"
'9*-Y
%;.\v+u
i \J '\'\)
_:_,O
-@
'1
‘QM
J
1
Gm
_
‘~=P
T‘
M-\->
"
1 A
iii
P4
..-Q
O
__
E
%
\ -
'
I
Q_.(d*\))
\ 7
$
my
H
rg
‘~
%
‘T
maths
/
..
Q 0
\c;.~,§§
(§;,¢¢.‘,_ g__“‘$;*?
\
Cub-l
12
’—‘~
my».
95¢
\
Wm
\
¢~..\c.\\-s»..¢s;.§
Q,___\(‘,;,4>C\
vv
c”"'l
—$.'.~.1$,,;,_'§;
\—¢>§.L
<11
fa)‘;
\_c_,}}b
—§.;...L<;;_,_\;
- $;..L{,;._‘Y,
6->1
‘Q.-.344
CM?
- 3,-\.1g,,‘
~kc.».\.;¢\
,
I
I
.
\
0
Q
A
**\'\'-41
I
\$~*--\)k~~v»¢§\
C»).
§;~'~J\
C~\*
—$;..\\
‘Riv.-l
(‘,__
%:v..\_
Cx
7.
'
_;g;__
Q1
--$;»-QL%:v-#\$kCl3
Q3
42z=o ‘D
\
C-ml iC"*\!»
(‘.5
C4»b¢L
’\
C,.>>(,L*\P)
C*.~U.-\,-Q)
:
O
\
i._..,,_.,______._____
Ava£!ab\e at
www.mathcity.org t
‘
f
t
\|\
HHS 1.
‘
gin,‘
(¢\+\»)
;,
(Vm)
as
1
>
1
F"
C4
C_1*_A~L
(cu!)
'2
'L')+\\)L
.
O
:1;
Maaaaaworg
3\'\_,
Merging Man
S-. .11 i
\-¢-’cb.-'
(Q +5);
uf + Q
¢\\;
(Q-H13‘
c.'“-H1‘
cA
§‘3+\\§L
1‘+\r:'
jk
I
I
0~.+\o
i
.,
‘Q1
Cl-\-AL-
Lk
5
5
+u>.\,,
c‘+¢\"-\-2.cJ.
=_
an mat
§L+\:
')\'\.
E
1
, .
*1“
A:
'
:
I
9“
S.
I-<‘-A
C!'+d
1
CA
15k
a‘+\~‘
sh
M»
oC‘+\>"
C\~C1
adv"
¢.¢
c.‘+&"
c4.
5k
5‘ +\'~:'
‘jk.
.1C'MmMV€“Wp:‘ ~
‘
1(0)
1
A
Q5"
<£~+\,‘
-.2
K‘?
Q.‘
Q3)
O
MQ-\-\>)l L¢—\~6~31
\(1~\~x"
0k‘+\>1
CI-\-J}
o\\>
£5
'
4
;
:__
O
1k .-___.-_-—~.--_..._.._._-__.___
Available at www.mathcity.org
l
t
I L.
1*
Hqg u1"~&>i“>‘
<.;r~e1“>‘
4\*“+\3“>1
(\.“_\:“) 1 (J- 5')
an an
\x 3
5'9
(c.'+
W
Y
1(-
=
Q
.,\\,<_
%£: l>L
L
A
QWJC
‘Z
IL
\\>+\>)
<1.
(chi? >1
(ail? )1
¢\>c
@.+w@ 1 \)\'\JT
-\v\
19
-19
\C‘*C— 'L-\
- aka N
£>
1 _.i a\“+cxM_l
\
-19
1?
CL
-1 -
‘_-1&4
+
.
\
\
o~
-
C.|...?_C1v
t
‘L\-\ ..xv\ B_~¥
k1“ ~b~-In
1}
_x$ C + Q
If
_1Q
Q + C
"3
\
C_+c_ ‘Hm
_~u-1.»\
-L
cl + 0.
+1
0. *-0.
-"\-~\
‘-‘~\
+~l
\
.
(M-\>)
\x-~ -1“ .... 050C.
GLBC‘
1
_.“ Z
‘A
‘
A(cl\~;l.“)L‘
kc'“\°L)k°)
1
\
>
‘?
\
‘
C-\ -:
CL
:0. -—--—§———--—--—i_._.____
(*)
\-
J»~ ]_\ ML.
1\
1;
_‘-\ 1‘.
~;_
1‘
H‘
:
\
1[
Am %.»&
0
\
.
L@<-A.-_~,,‘:_"5_‘ ~
ELF
3*.
»_\_ 1‘.
-
O
A
\ R \
R
ow
W
gm‘
,9 %
\ 7 ih~_____ lb I
CL
Warm ‘
_
|\|\||||||‘|l|\
\|\! Q_ °\L0 ‘‘L _ L\
‘\\| ___
'1" °,__\
__“_
v>
301|
7_ L‘C‘0 1 L ‘D _
H
\o_~Uh ‘LIL/u O\L
1‘ HO
\‘|_
L
MW m% MW‘ ‘\\‘lQ _
L__‘_‘\___ L
\ib‘ M _W~ ‘T L‘ 1 L
O ||\ Q ‘K \,0.$ _
_
__ %__ \_o____
AAU _*_Q
_W \__ \_U 1__
v W
____
M
I
RE ‘ ’
LME '1-B
\§J...L..Ci.'..LC.¢L
\>$;..\-c$:..4c,4
7-
0
9~\-C-"~¢--I
0
\»~’C-.'“-L
'
Cam
C‘$;.-Wk
Ry
‘K1... '
‘
Q1.
J5-¢?s=<E.1
$;..n(\>_cc.»-\\
-»
&&¢
<;.~...,\(\.-<".,n’
L
<2,-§i¢\{¢3_cI"
=
\
¢{$;.,';.,\
_¢‘d.\
..\,,‘<;,Q*a -c.‘<;.¢~.10}.x +>_\D¢$.&A_<->»~‘-_
._d<;Q‘..1
_\}$;l.,\ _c5$.-&.\\\-$.-.}a.\
;_Q1/£-~'H.l
._\<,1$~'~1'¢L
*
=
=
{.,z..y*-¢.‘/ +»4‘»;¢7-
i
¢»1‘\&-iok
unwox
‘
C)
\>'~ \'\)
<1.
E»
C.
A
\
bx‘ da
\,
¢
C.
d~
A
ca.
\
on
\>u\_d.C.\
+w.\>c£-E»\.G..\
+c.L¢:.:.L -\-i\>_¢?>;§=L
"L L L $5101 X¢3.'_\>"_c_“+L\>c(k’-'5-c1~'—°-*-A 18 c -
=
[L
._c1‘$:.":~l
1 1_ _*¢_L +=_\,¢c.5.1]s£:¢ [O~.--B
.,,_
'-
g;}“,[(\,'“+<;‘d.L'._ 1\>¢;CJ>.L)-
I. ¢<,;;_:__L
w Q
_<,;.E.L\\>_cC.Ȣ\
*
o
M
V
HHQ ’
'o.\>Ld_\
SA‘
1%
Ld(b_\><-5~o.\
L3~m\>\ J~m\o¢\
‘Bo-d\c\ *+\+C~c1
I =
I
-
.¢
L
¢__d.
’\n+c.+cL\-0.
ck
\
'cx'-
\ \
\
°‘*(°L+‘~s+<>~
¢+¢».M\.
¢\
.1
%$11+-o. +¥-\-¢-
Q.
b
r.
,\+a+J+C
ILL
d~
C
o\+\»~c+A
\>
Q
o\+\=-wu-A
‘lé
d~
0!
\
a-H»-\-c~A
A
ca
\>
\
a+\>+c+A
0k
vb
L
l
|°\+\>+L-\-A
Q
mi
c
\
=(O\-\3'o+C+¢)_\
I
\:
\
i
a@\
\
B
Q
A
\
Q
6.
Q
\
|
A
o.
B
\
\
on
‘v
¢
|
\
o\
A
c_
|
‘\
\
‘
.
I
(cu-\o+C-\—cULo§
__4
Q
CS
O
A: _i__.._%._____
iQl
Available at ~ wwwmathcityfbrg =..
.1
A
‘~§.n._~-,'=_._
'
‘.1
4
‘-(SO 1
_..
\7‘~\\\)
~,
\"~
+\)l
(~v\+ Ur‘
('§))‘
‘:11
Uwq‘
(B-H)‘
U-n)!“
cf‘,
(emf
(¢~'~)'*
(c+x)"
(;A+\)"
(¢1.»;‘
(0
um‘
gig.»
\
%
‘of bur
)
03
A
(u+\f
(a+l)l-
Km-st)‘
\,“
um‘
um)‘
cf
(MN
UH»?
(C+s)L
,0
gdm
Hm‘
c<m>‘i
=
(\»+_%)‘
I
<.»‘n~,\
of+\\u+h~
W:
\:‘+1\,+\
\>‘+\~\-H4
C!‘-Q-ICQ-\
C.
x. (‘_
&+(\u+'\ \»‘+l‘v+‘\
\ -\-‘V1-\-‘Q
‘ c*('c'~‘
a‘».\.A+u
=*‘*'~“*‘*.
Ht
a‘+1=1+\
7i
lA+\
~@+»_
;4+\
L\>~\
us W
LL + H
<5"
1c_+\
ur.+‘1
Lc+°\
J}
13¢-\
\\J.\-R
Lia-"‘\
41
"Lu-+\
L
Q
1_\,+\
‘L
c.‘
1c+\
1.
\,‘~
\
-
\.
‘_ \
.<1‘v1.\-.\
'
‘Q
1¢\+\
=39-1\.~\ c." ‘|
:. 0
1c~\
'c'
c3_c‘ C? ¢~._C,
C3":-C1.
6
c""3c*-
4 \
1
1.
1-1-_ 1-
1-
L -_~
-
C
1.’
141-q-\
'
‘
.
A
“
<1;-_\_;Q\.
'\4.h..;.."5(',.~.~.~Q,w.c_H
Q
‘»|5\
<. .
Q1
¢.‘t~.vc(.~,.LJ.'av\
W4:
3
>\
PM):
4
x
i
L
kc
o.
cu‘
¢¢
\.
5‘
0.K
c
C."
-
\ ‘
‘A
= t
,,\_‘
4
\
s‘
\~‘
\
C}
C}
-r@_~2»
|i'
“oC-ml)-1'
A1
1
Ll-k
C“
,
k
bl.
C'-
,a\\- c
‘
o.\. .
A=__\__ d\\L “Me
'
of‘
3 (A.
M ~.1x~.p..,,.-.‘
vs‘
V
h” Ci
o\\;c
I
V
oi?
c\§\~’
\
M‘
9
\
C.
C.
\
<15
an‘
\
\»‘
5'
|\
\.
C.-
\\ oak “ML
,
A“-.—.
R\,R;,g,\,3 “JUL
\
-
-
<1, ~wv~’4-/~
~.'-¥\l>(-
%\»»\
>
‘
Q
\
i
\
J
C.
S»
_
\"'
°“
°~x-
¢-»
\.
xi‘
i**\\
L
‘\
of
\
Q
\
C-‘L
=
c‘
c.
¢§‘
if
3.
C’ *-——-@_.__-....__..-----—
Q...
‘~\
"\ \\
~*
3 Y
W
‘
~.',\
"*?\
Matn€,2%y@0rg
~L
\
=
Merging Man and maths
v‘
\_
[\,
Y1
.Y
.
=
$5»,
‘\.m§~¢‘ \-¢i¢~"~ \\v~:.m‘ \\
Y
“W1
‘ A
‘
._:,‘4\
‘if’ .
‘v
LISL» Qgi
my‘
Wwm ck
\>
L
d~
_\>
ox
~11
C
»~c.
A
ck
-M
ndk
_r_
B
cm
5,2»
3'1’
'
\°_|.+\°w_*L\_+A‘)1_.
z
\»c_‘d\
~
'-“
‘at.
..\, \.\,\'_
A
<1
b...A
0.
B
of‘
b‘
Q‘
A‘
A-“
M»
-ca
Q1
*"\~'1'+'»>»>~1
-cw.
ot
\uJ\
-\L
ac
-Ml
kc
0\J-
~\:- 5+ J}
C1
;
¢~1
°‘\"
>
0
BA
0
-\,¢_
CA
an
-kl
\,¢
mi C
0\\v
-c.A
\ 1 1.‘) (o»»\-‘=--\-c‘+A
wk
at
axtd
-51;
C
‘D
Q (0‘S&-\=1*vc_‘+8.")' (1..
1'
I
0;‘ .__c_
--6. Gk
b
-
‘
l
\
ouk
-<1-
-‘
-v-Q3 *1-C-*4)‘
.
__\°-
Q‘;/4'-<3~
V
_»5d_
“A
&
.
C.<1
\oL>
Q
§&*w\n\+QL+¢¥‘)
C\-5-(C1
'_‘c‘L
{.*r~\»-w~:l,l,.,-Y
1
.\>~s _.
CL)’
o~.\»uL
—,;
»'.°-1
°\>¥>>c'->6‘
El
O
--‘-——-—~
:
¢~»¢1
~
\-mi.
1:
__¥
~r_
4:
O‘ L
Q
A
'=
--=--‘C-n
—-J\
C.
__\,_
G.
\
‘
&~\-Q
‘I,
CR‘ c\>c'1>c3
C’.-.»-.~'v..~\
"
.
Q“
w\
I
I
H55
'
w
%
w
‘"~\>-4'-;
1
A
=
an
(03-\-\§+<}+A\\ {‘a(oh_\_‘x§_'Vd(a~A_\.q _\_cQb&_‘_Ou_1;;.‘} an
-
§o»~\-\-¢‘~+<}\\{¢1*a\;~+_dAa._"/éa +\y€‘L_\_dc:.} as
=
A
(Oh-\>‘—~
<-‘+d"§§ 0~‘+'\>‘
-§_¢"+
N)
LL I ‘L°\+\a-’r€..+A) L.
._
-
ii__?_.__,__._.,
Q2
Plwv-n_'\’F~»d
UM» £31’ ;
U3
t
of
OLL
‘gmI
\>
¢‘-L
ck
-
3
.
V
s‘
1<*\~<-k¢+\.+¢)
=
(a~\)L
V
$4.. .
Ltk
cm»1.
‘
A2
.1:
bt
.
LL
8'
‘-1;
U» a-Q1
'
1
1L
0
1
Q
\
-
.-
C‘
‘
(t-H») '
-
‘_..
C‘
CI.-Q}
1.
-\v~+H
‘(\+c+¢)(B+<-Q} |
'
'
|
‘
iii.-:“a~‘;*1vPg>»>; 5» .,
m
‘
l
(“J-\.‘ V
<1-Q-\-\»‘)
>
'7”
,
(¢ W)"
-0}
O 1
'
(LL
-
0.‘
Q
._
3
0 \
i I
.
i § »
(cw -mu: -1 _\.)
(c+.+\-5t<~¢-\.) (=’+>-‘~\.>g¢ _-\_\.)
V
‘
&q+»>‘“
M
-
v
1" HS H
.\
‘
~»i ‘
X
g
‘
\
,
A
54..
‘U>~¢.-0-3
O
O
‘¢f,H,;_\,,
k\<;_q-‘»)
(¢-<1-W
kQ.\»h*..(_>.“
f
¢°~
M;{
\,,‘
3~‘1
gM\.;~¢)' cmM.,.,.
2'3
"
M
(owl-3‘
\
L
A
4
0
CLL
CJAJ-,
$1.
in-\-C-¢~ 1
P;
=
?
'
(a+\n.-r_)
\
__1\D
1.
—
\
IQ
R3-
-
-
Q9.\-\-(KL)
7-1*‘
i
ii ‘=
H
“#153
g
I -—1~(ow‘a+L)
\
=-
1?
v
I4
.
~' .n~
4
11-
0
0.
O
c~“~_\‘
\>
m ‘.1\¢,.,\¢L;,_,‘
|
M‘
.-
\>
<1"
I
\n
-15
l
K‘
%_“~_
.=
n
-1-[a~\-\o+L§fJ
=
—-1-\v\+\=+¢3‘\
(‘*5-°\§iQ °~\>)k_C+¢1-B)-0\\ol}
-u
-\-
ofio -\>(_C-\-G-\c)}§
as
vI\¢ 3,»:
.
,
w, GI‘
1*’
I
,
V; :3
(\+
-o\\c_u§\+;(\‘-/U‘) +
of Q-kc. -»o.\=+\,"'
.. 4
a
»:
_']._'J
' ‘ -1\cx+$+c§<“(._oUo3\\»+c_caq(<1-rd.)
.
+(-¢\.)(4¢.c. +o,\.'fA-ad-)}
.
3‘Y * 1
i
‘ax
f’
\-
~
5 ".1." l' ti? 1'
-1K<\+\.+¢‘;4I-¢\,3iU»+¢_q\kc +o\\ + <1c'+
1
out
- dub
I
.2‘
Q’
'l¢_z
Y; V;
51'
5i
.5.
,
+04
1. 1.»\\>La+\>+.<.§L{ kc +<>\)¢.{+;:.i‘-4-;(c. __¢'y£_./llf" =
1o\\>\o\+\,.\.c.;-(\>c +C."'+gL¢§
‘
‘
-J
1 7..0\\>Lk0~\»\p+(_§t(\;.>,.(_+@§
.5‘!
Qt :-
..
..;
A‘
2AD,c,(c\+l.+c)
1
1:: I2:
J
.
Q
q!.
1
$3:
F211
'~;|
Available at www.mathcity.org
1; '
.
1:
mi
-»..
1
*
-Q-
1.. 7.‘.
¥>
LL52)
'
Ii
51>
\\\)
-
-
»
L
c§‘+‘v
C
C
-
C. £1
‘
1
\h
Cfv}
.
0}-‘Vl
C.
C.
C.
Lgkbz
\L+ (L
O.
¢-
CL
xx!»
.
A__
__.V[,
"
k\,
(LL
‘)1.
1
.
.13‘:
C1.
-€,1§i
9~1,Q~1
B3
.C>c14.,\4
funk“-¢
°~
L
'(‘.—\-0..
‘-
t
k
b
I
0.L+\>L- LL
"_“_ ¢\!(.v
Y
'
O
B‘- c‘._o_1
\§"..¢"..41I
$‘-CL -It
‘
'
C‘
O
\
=
I
Q
\>
1.
o\\\.c
\
cK1.
\. 1. o.+\o
\
t‘
'
O‘
O.
'8
A
-
L10-\pQ_
-
C
‘
$3: _.._ .
ck
a~
B
_
1
‘I.
-_t_"_..
0~.
ll
\
0}-\-\:—C.L
\.
=---—
I
I
o
¢
‘
0-L
-
-C
-
3
C1~C;
I.
C-won‘
(‘_l
Q
I
JG. "dc
B‘
'
R3 _
Qt, AL»
z
0\\>c
-
k_;_,,_‘
- C.1.
.1
= 3
—-k
‘
‘
J‘
1. -
__
’o
L
.
_.2.¢-_
.
O
Q1”
‘at;
°LL
cf
0-
.
-1
g
"C-‘)k°-5-"<-1'»-~ 0
o\\o<.
‘l
L &_-ac. 03¢
\v§-\-\»‘
--Q")
__
KAN 11
C...M.,\,.,\
-\-
c-L§°- ¢*}(\>‘w-'1‘-mK))
1.1. Qb'+C‘._¢_'-)} &¢_
wsé, -=
_..
_3~.__..(-o5c.‘~\{9y+\:-(i
+\:+()/~19}
M
H’
onhc.
we
‘ "T'"\“""‘ A
1!
\
\
L\0\\r;Q
_----?..i.._____
Q“
\'k4J'k
?A.rv~.Il.
it
ax
ox
ck
Q1
&
0~
1
:
CLO‘-'Y~G.
_Ul+'5d-\(‘Ala.)3
;o-enema. ‘K
&
ad
5-
O\
7»
(1
Q
(1
X
“.v\+"5c».
ck
oi
OK
§&~‘!,a.
‘A
cm
ck
V14-K0.
0.
"A.
ck
1\+34n.
ck
$.29
L.m..\;
axaax
bx \
M
C» -1'
1
CL
ck
0..
\
1
<1
ok
\
m
\
0_\
1
-\-C1, a-(Lu
\»\+;¢\C......~..;€.._c’\
<1
X
an
\
.~=
(1-F50)
\
m
0
7\-*1
0
u
ox
ex
°
O
1-an
o
.
0
0
o
)
1
0-
\
=\,M-5“)
(51
"K-m
‘"
'
Ra‘ K‘
13-V“ 9“\‘"9*\
L157 '$‘ I
\
J
A
0
K‘A~>\-3o\§\‘A-m§3
-4
\
0‘ §
I
Q
CA
V
(*-
0
hw‘
o
'\
Q
u
0
-
(X
-
-_
OQ
'
Q»\n-.-~
u \
o
0
c, \ 1
I
U-\+1\~<»>3
3‘
L»
..
'
<=
\
'
<-
u
'
H
\
'5
C»
1
1
Q\1._
=1
K\\+‘$d§(‘1 - ax)
“xskk
Skaw
‘f:
.
A
E
\
\
\ \
}
:1
k°L"_‘Y§\‘Y"‘Y\)&\""“L)
Z IA
1,1
§
a
‘»\\\
Suka-
L@»*£>-=..L\;,Y iv‘;
‘*0
:
01‘-
YJ~
\
c>
.4»:
}_~r
k~¢(1-¢n
M1-‘p -1}
C\—C">
Y
C4... C‘;
‘H
.
§-.:>...»
4,
¢.~1~'\5
.
I
\b"Y
‘p(\r~¢)
I
=
R
(.;1-~r§\\>»Y)
-l(Y—\1\ \
" \‘
~
\4\ "'L
ul~‘(
1
H-o\-\ c\'|C-L ‘Q
‘Q-Y
C;f~-.-~-
L4
S
51; \
‘,5 1
ll
L5--Y§(_‘§3._Y)(-.L+‘})
1
A
U‘-})(‘1u-~r)(_Y-J~ )
=
ClL_\_?‘5\-ww
‘V
N\4JK \
\
\nL ‘L3.
\
\
\\‘
Y
v)
Y1
|
Q?--YXHKYI -l\((~l~\l~3 Q-l¢\\1—\<‘()
::
1
l\
S»‘AL
A
>
=
i K
\
\
J
*3
Y
t"
‘,1
Y3
0
0 v_Y
-'1
S.‘
v\
\
\(
I
C\._.C.'5
C-1.-Cs;
.5
A
Y
-_1
\
O
Q
‘p
(cl-Y)
Y
-1'
\
\
y‘-
5K"-Y)(.[+.n'+1") kv-\>(\>‘».';m1) 0
0 =(-1~_\r§{\>-Y7
\ bdl.-..l.~Q
\
\
1
1.
n.
Y
\
k-1-WW - M .
J-t*)‘(~‘:
>
v
i \
QNW;
‘;
c\.;,c1,
1
,>\Ju,\»1
Y
i*‘9<»..&.'.,Q =
\\\~~<§ Q.k~_W.Mf
V
1
\*+}Yw
*-\--lY-oi
_(-J~--‘l3~,
\"
R\ 1‘
kl-1-‘I .~‘{1
4
2‘
~.
~_-
<
.4-w>(‘pp-\r)§
(¢>l-.Y§(
Q1»
-'1)-&]s‘~A.A1-1-vv-_v -L§
F
Ir
H§o\
u_Y)k\,,Y)i\W--OKY-w-1)
A
A ,
QW
k»\-w>W-YSW--1)\\s+.uY\Lv
=
Q?-v)(Y-.u3(..1-\,\\.1+ \‘> m3
Ma .
_
\
\
Q
\
\\.
’}\
\
,
\
.\
,
Merging
'
<1}\
(a"'33(.@—\\1 -.
Z
'
\
\
\o._\\ \_
\\¢\ \| \0l.
Llkx
A
a-"vi
\»\CL\
0.
v
(
‘
I
‘cu-3
‘
\
‘\
\
ow")
ox
\
\
“+1
\
<1
\
11-F}
“
_:(d*_5)
,\
.
‘*\
\
\
\
Q
\
\
\
\
Cl
\
\.\
*\\\'\ '
Q
0.-\
o
0
11>
o
'
'
C
\*'(¢1+Q1+Qw\
\
\
,\
=(¢\~'5\
0
0
an
-\ 0
C"-.~,,\,~,,‘
~
on
Ra-Rn
'
R3"a' Q_R
a-\
Q
om-3
..
“
'
v
G-\
'=\(1+3§
'
L
H]~;F‘:“%#vsr.]
*1
S181‘
“
“wk
5\'\4vo
_'_
3"i
+Y\\1_-;L)1§
=
%
V
O
°_ q_\
>°
°
0
0
'°"\
.
V
C.‘
guwcl
maths
Mao \
'*
15-
L0~*3)Lc\“\)3)' 0
A
-.
°
O
°\
‘
a"\
'
%"_ p~\zP~12k3
c¢-..~..~¢~
>\
o
H
1
((1%-'5§\:14-\)n$
\‘\' ) \
+
\
‘
¢%__’_@»
i
\
\
\
\+\
\
\
\
\
‘\+d\
\
\ \
\
,=
\~¢\
»,¢.1(1_-_\_ _\_ \+¢~\'b+c.+¢l
_\__
ck
\+J\
\
\
S.-l..
M“
\
b»_d
\
\
\
\+\.\
\
\
\
\
\
\+C
.\_ wk-1 J- \+ L
=
@\\or_¢L
‘°
-L
L
Q
ti
J.“ A
A-_
L. %__|)_
.\._
Ag
L
O~;‘b-,C rel="nofollow">&
'0
B
\
-L»
HA
\
\-#3..
\
\-Lz _\_.
.L
=-
~.»~\.~:.L
F4,‘-
H‘
'
L \+d
'-;Q\
P~1,Q~,, tn,
\+{-..ac~%~i
‘*-‘;+l,-_;+l;~§;
\-si--v-&--c
A
J.. in
.L.
‘
\
\L_ *\»
.\_
.L.
\~._\_
_L. ».
»=.
c
<-
(_
.L
_‘__
-L
ck
ax
a.
\ 4,
R\1 t\§'~1:v“\ ‘UL;»'
‘
1'.
M.L'~~¥.
**%:*k
W
Lo~\>(.J~\(\~'--k-*"'\--
+3€~.\;)
\+.\_
.L ‘/<1
‘/4
C_
L\+-L cl
1 \
\
\
\
“_L
tJ~:.-( \\+~k-+ 3‘-+1‘-_-»,‘J _\__~
Q‘-
\q.- 1..
‘I J.
‘M
_\oc>o ’=o.\>c4(\+i;+l‘-+A-t+l-§\/\_
(“Ca
'
4%@>
\
¢
\/(_
‘\
Q
‘/‘Lo 0
Q»
0
b
\_
Q:
O
Llélm
C1—C|
A
'1~\»c.
O
0
\\_~o \ ==»\.<.\§\+A_;+~>;+-)-5+3-)
»
0
O
’
\
f~»M e,
‘*>\\>-~#»g
\
N‘;
0\\>C.&K\+-5‘-+lb--y-.§€q-<.L_; ..._..--___.__.'____------
\-‘L
\
'
\
|
\
SAL.
‘i
Lzkb
\
\ +‘)_
\
\
\
1
-_
\-‘Q
\
\
\
I-3.
\
\
\
\
H-5
I
\
\
o __mv
\
\
_,_
0
\
\
‘j
‘-
~
_
..
-1.
1 Q
cl-Cg "
‘J
<3
1-» <1 ~..
,
§_M-'.,R,
4.1\,.~__,L¢,$-
-1
1
‘
¢»—(\+x)c_.,
‘Q
;
*1
!
\_5
o
K-'~+~m>)
I
\
o
...~;_
5
'
\
\—\-1
_:
\
‘IT’;
1 1. ‘/M‘)
-::.
.
\
.<‘_Id.\'. ~
\
O
,\ 7
-‘A-P)-'n\‘3
'5
5
SLY
1"-"'05
L-r e.
-‘A
0
0
--wk
O ‘I-..
._w\_
‘Q
‘j
-'7\-N1‘)
:
0
L-
“‘
T"
\)
\
'7'
Q
‘)
wk‘
"31
")
-‘»\MI‘.")
-
VA 1:--1 \~* ~*
R\5V
*
-'1l'r\‘j
=
")
*sԤ
Kf>(‘> *)(»—
""1K--3'\.§L§
Z.
11")“
2.
Q6
.
1
1
"M
L
0-
°\
3 ox
o~.+LoL
1o\+\
'5 1
m
0_
"La+\.
m
i
\ \
‘
~\
<>\+L
\
3
1
\
30:
30L
\
\
\
3'9, ~__... “
MA
9-‘ L
=
<1.“-la.
u\+\
<1
7-0--H
m-H.
3
3
;\ ks:-\
I
1
L
°-
'§\o§-O
x 0.-\
an-+L-1-3
a-\
l(¢\_\§
1
‘
V
\
\-
\,*
H1-\') 1L0.-\ 3
Q O
\
ca-\
o
PM-Rx, R1-9~\q 9"$—9_q
'
\>\
3
3
\
‘\e»'i>
.
:
ix}¢-v~vL'-_-1
"
.‘
A
=
Q‘--\
3(o.l-\§
'1 Q-I
¢"+1¢_"5
a-\ I
€-v~
C-‘1
i'3(¢1-Q
Na-»)
1(<1-\)
(1-\
"
(=1-\)Lo$+a\+\\
'S(¢\-\\k¢+\)
Q1-\)LO.-K-|\
(0~+3)("\-\)
a-1
H;
-'5(¢\~I) 7-U1-\)
1(§\_|)
V
q__\
1
‘
1
\ (L411-\-\
361“-Q-V3
3 '
1,
1 (<14)
a+\
A
cx+3'
OL-—\‘ 2_
~
xwm
.
\
2.
»<£-H1-1
W C-\>C17C1
\
sq-z»
o
“
,
“k°“‘)
o\\
1
'
\
L
\
C-I-3C;
o \
‘
5
3
(°\+l)[o\-\)
l: (@—\)
3(¢\-\) .
.
(1_|
M,
g
=
=
O\~|
own.
3
\
\
"-M
MM
aw,‘ Q-1+1 _3)
(<1-\3§o\_\) _
‘
»~
.13-LQ ox-\)
c 4
-
—---Q
-
H
(_%lg:~'g%/\1*'~')\ !\,%,C.‘.,.@... an
4
,AmaM
WWW
(H
'
CM
C~f¢cL\A
’
=
0.5
(;m
=
Mix
,n
1.
-
RB
H
(N3
Cm-P\‘€
W)
\“\F....%G\
QM)
FG‘._C.\J\
(v'{\)
oufn
xmm
kG
mu
qr»
+k\:
2
CB
‘=
§A
I
all
‘
RA
+*jC
=
Q
\'\
'5
\‘I\
3
Q
s
§
-~—-
Q
A»
=
l
\
c R \
l
~
@(\c~§L)~k\¢¥~3§\+1\“§—3¥§
= ‘IL
¢1\=>c..
¢§‘-c\~L+=3k§+3\\§_<3‘\>
I
A : aha +1§\nii N
_ 0~§1'-
151$-C
am.»
Pr
:
\~\
L-\)\
\
N‘
OK
1-h
F
‘
+$F *§C*=° ~»§¥+¢C -=AY
*5 J2»
Hum.
<1>\>,<'->----Q 5-
-Q
Wmk
B(:..-Fl
=\\\\)
W1
a.»_.x\»§‘ -»§<¢
’
A
ea my
x
<_n‘u>¢_;\3
=
\>¢_§‘
1
(_\§‘(¢c_3‘)
=
<>c.~5‘
(__\§(0_'b__R"s
‘v\
1
0~\0-\‘\L'
m
-(\-\)3\_5
1».
(—\§\d~1}"_‘5\¢\§.1-
‘5\\_o\§.
.
>
-I
‘l
;,-,
i-
‘
i"
7
_\‘)""\";
‘
'
H
W}
"
(_\§‘g\~§-5\.)
=
\"‘i~‘5‘°
5
*~>
.
.
_?~;‘ 1-" ._;1_.
‘.1 ‘a =-.
,
'2 .-
H
%
,'
5;
\*.
ac
=
k-Md‘-553
.-
‘
an
1
c\
=\-~> L,
aw:
- 1-4 ..-‘:1-.-_
P.
\n.\-\§
;\r_-
I
-r-‘ ,
3*;-ck
=
%
V
gM_,=><<»~\._»¢~\+ks»~~<#&>‘
L
otkc ..<:.c\\t-<».¥3x.»“}"<\_7:7{\_o\§-\¢v.d~\§3\~
=
-
au:\r\1'-°'\\><)L _o~‘fL + 1¢Q§°>\~
=
ofkc
1
0,\0\\C, -+z§3\~. _o\§"._1"\1 -CHI»
I
'
1
‘:15
BC-FL
'3 C
'
A
5
-i-—-—->__.._.-._
I
,-
* 2!
:
CA—~€\L
w)
‘ 5-1‘
If §
-iii.
<:A._G\"
k‘)_U=¢- ‘$7 '—U~'}
(<»~\»-
'=
a\;'C- -a\\oIiL-_\\L\oC -\,\}/§t_\;"/§L _~=;\>t
=-\>(a\>¢ +1-)‘~\§ -QJYI ~
cm-Q‘
=
’-= =
Ms-\-\*
t
»k~2_J;-‘§\'\\n
Q\\Ԥ
_-._i_______
A5-HI
$3: M»- H‘ ;
')L\v ~
»*
sa,
(M)
-5H1
=
=
Cl}.
L‘ (\><;_§‘)(¢¢_=)'*-)_-(3§_kc)l 1. 1 o\\:CA.-L_<j\>AQ -5i_0.AC-. '
+3/§L-3Y§'“._cf:\\1
c‘.Ko\\@¢+L3\r\§.'_<1li.L__-51\,
ca;
“
._c;\\‘)
-1,
L3“?-C
bl
~
.
.
Si»
Gm I
c\\=- =
u\§-\.na§§-¢\> -
u=>¢-r,*>u\\-<>~%\
?§'o\\-¢-\~‘¥~\*§'§'*3°‘75“
~--/~»- *‘~‘>“i
-§
1-V!
<3~.\-‘<~~AP\F ’
=
7-fjk
=
§(o-we +?.§.3L\ _m§‘-
(Rn-AF
=
._r:%\’“§
-\>§')*
4; (D
~*r<>\\,¢!§ 1
_¢.@§$
M,
-
._ck‘)
3 b
§A
*
A
._.-__.----_--%,____
HF-Q56:
(‘U
:
¢)A
52$)’
‘”“"~‘“* I
“¥'H*~><*>‘~~@\%> —<<>\<-‘J‘><\~‘§-M»)
’
*1
"5
UV‘),
Q> Q,
1. +3\\§”_cJ3\,
.31»
PG.-CH r FA
g
»
’
”
%
+13\/\§_.c\§l'_Q\,\1--3b)
‘§(\<»\\,c
HF»
1_
39‘ -"*§')* TA" '*°‘/~§\r\~o/»§\\ +acj\> “M3 +'"§‘*~€ * 0%“: ~':<\\‘ -33$“
V
$3}
FG-CH
w
:v
=
FQ_Qn
=
--m) _(q\@-\\‘>(°s § _ C.\r\) lkk ‘A L 1 -3 ~¢ §fm%-¢y~»¢mm+M3q“¢h
(‘sh-<1§><\\g Q\3Q\\
_‘_-1})‘/:*§ ‘_d\\A§L__
‘»\Km‘\o('. —\-'L‘§\r\g.._oi'l§L_"'=;“\;
‘
-QM‘)
~
.
‘t
km .---I---_@._..._
cxG\+\»\\73+"}C
KW)
0
=
553:,
C’“G'\'~*r\"F‘Y°§C
=
O~(¥\‘§~\o‘5\+ \/\§‘3\'\-.cx§)+*)(o.\¢._\}\ _ I
“W; 20
=
_.=~;4,-;
-¢y:;
1
J.-A
...3,g\,,
_34\=
L
_.__..__..-_.___-i._.__.
l,v'\'\'\)
$55.
\\G\+\oF+!§-C_
=
Q
~
W
'5".
OQQ
H81
'
MA +\>F +§c:
'
\\U~5-\,;\ +\>\a\~_@.:;\ +s;g¢\,_\H
=
~>/:-
=»~”&-&»~‘>*~
%
O
=:.
A
=
~-‘»§
l
*'jC-\+§F+cC
3(»\;_\,¢)>+:;g5»\_.=\H ,,¢g¢\,-_\{*~)
= (-=
-
=
')k§‘_<3L\=> +7)\\§
mkc
A
]G\—v§~F+cC.»=
Q3
F7‘-\~G\L
\'\'\\
G:
um
\—\‘+\=”
QM
HKSC.
+ H‘
CLQA-\-Y>)
=
P~LB+¢)
%
-L"
?>\4>~+c\
=’
'FG\\—\
M
kw
UM.
ac
..
FR.
C.P\——G:.
1..
\
*
'
‘
&*Md\
§»\¢.~L.L
_,M>,
%
=
“A10
V
l
BC.--F
2.
as-G‘
0\' "S
Ox
=
0
Fl
cf
*
::
¢=*.,¢,'§ F1-*rG\1
Y
'
-y _'
ca
=
= =’
-‘\'Q\OQ.
~¢,\§"
Qw“.
-
'
S» -
04;‘
+;¢=)\é\§ ._o(I§L.._<3L\,‘__
A
_~_
-
€@
:-_
§.q,.
1
+<>~%&
A»
SaQ:-
Us
~»/4%
‘W
»
3G\».-1}?-vcl
UM
,
?>c+cP\ C§5"\'P\)
»
¢i(;,?> M.
¢u>
F**@}
I C(R+%).
6$*~**
=
ml.
mu
-c:@\-G‘
=
A»
sf);
AK“-*C)
Ms-H‘
+
mdk
=
m¢
0'
@>=
5,
%-
0\
C_P\v»G\L-;
'P\$.-H1:
_
O
A
.
G1
=
H‘
=
A
c.
’
I-\%
X
'
AM-my G\L—\*
H1
:
Ch
=
P\kC.~\~Q>)
1
$\(5~\-Q)
1
.
AG\*\"\‘"
¢+v‘
\W>
a\A+¢)
=
um
A).
$21»
\mM~4
ms_»\‘ EC
4
~F’“
M
\>’\-4w-1J~_
,.
Cb
=‘
pm]
_z:>
0
=
P\@,-k-\’*=.o1iA
'$.
ac-F‘ A -
t\AA;~»f
"r (KB
HI"
;
z
F‘.
Wm‘
-
=
Q
X
Ab
acx
A
e>(r\+¢)
i
Wwdi
H(>°\
M I
$.41‘
mac:
=
FC».\~\
/‘I-Mm»
Uu-L
Puk
\‘\'~J(
ac =.F‘ ‘
<'>“_59
._
2G1
CF:
1
56
.
-:
"M
**»~=l'r’-M
~v~~
&Bc)(cm(A&3 '
E
=
A
o\‘e¢¢"
‘F6-\—\;
=
____
»
Qil
1
e? W
=
ABC
.».
I-L
FG1\-\
_
Wvdl
Vxnu c.
C.
O
(L)
Ab
<1
0"
\n
\‘+c‘
1
o
s_.>_t_..
:
‘ado
0&6.
_c;\,
051$‘
Bo» <'_¢
V
‘
Q
c..
\>
1
‘
\.(.\'.A=C_O0~
bcuo
’
"¢H,c.‘».\,‘ °.@Q+¢\>
~
0+0-nu»
<>+<:~c+o
Q3-+0-\-$1
\oc+o—\-0
}.Q.\.qg+q ‘
g‘\-LL
O~¥
\q._
Clh-0:‘
Q“
C.\a
§c+o+u’
1
‘L
\'.~+o\.+0
QC
.
_ ‘
r
'1!
‘a.. ‘i <1
.i‘ |‘I
kc
I
zatk-Q‘ '
________......_,_-
H "I U
3'"
‘Mai
Ԥ\'\.wo
1.
\
Lu
Lu
\
Q‘
1»
”
2
\
Lg
\
Q”
us
U.)-LA)\J\
\4
‘
k.~..)
(Ks
up
Jpawt’
ck
11»
M
pg;
1
\
Q)
X4-"*)Jr‘AL"*’l_0$\'»LA):
0
_._._.____-(z)
Q.
\\
N
u
L4)
MM»
\
q
1.
A
1
"
,0
Lg
an
/L
be
LAJL
'\-Q
\
3
\
b-\
\\
u
LA
L»)
'3'
M
U3
H
L ‘~**
1
\-J
\
\
u
\
{J
\
3 us
L.»
L.)
'
';
\-J
\
\
[,3
(,1
Lu
T
\
L»:
\
w
M
1
\-.
»
-_
w
'-A
1% \+w~-wwn
¥
:
(A,
bu
Lu
0-Lu +u4-\.->
-
‘\
\
L
3 5»
1$"L$\L\1(.:\ . '
\
\‘
H
1»
(.0
\...>
1
1
La
i
1
+w
no
L
‘s
K4
\+w wu.»
1.
1
H
+m+w 1,
w»
I
H M
'1
'
L
~
R
5
‘HQ N
1
w*"‘~'>*‘*>*‘~> .
I
-
V
3
3
_v
“(=9
x
*-
‘dd
1
V-W-J
\+-u+w Q-1.»)
\~w+L.>+u
\
Hug
3
‘S
1
+m
\+'L~)¥—L-J
\~1..>+(.;-L.)
L1
+¢.>-rm
'
3
\+w+w+u>
us +u>
+'u.>+h-\
w+1f>=vm~m
m»}L.(\'+(:»b:; \-\~l-1*») *ruJ
\+L)4rL3+4-)
7'
‘h
b.)»i—L.)_‘\-u-3+-LJV
s'\~\11;_11u'::(
w +-u +1.; +w
L
'3 1 \+=.._a-1.-.>~—w
1'1
H
s
C
1.
‘L-.>+L.:&-L.>4-M
1.
-!\ *'L\JNa-L:\L]-3
L¢4.(,_,+w+(_,_,
L..:+l.o.,\,_,_,_‘_,
L¢~\..>+u+uJ
\+m+u_>+-u é\
'
9°
M ,
bJ+bo+Ld\-L.)
\
\
N
1;
(‘J
1
1.
~
M
2
_
2.
'1 ‘
1
*Q-
-xr
/~»..#<
nu.)
M
n_§
=
W
U)
U0
$";"'\£4.
=L
1
1
W
9*‘)
w
Q
y)
\+\,.,\ ~1..)Ȣu '\
\-+<.n-w+¢.,
'0.
mu
-t
1‘
+L.-.»+c->
H1\ H
R
*#
_g_;
-M.)
-L-0 '1
-W
"
"5
-N
Ru
:
k~)
\
\
\
\
\
\
\
--M
\
-H
\
\
0
o
0
-S’
Q
Q
-5
O
O
..€
o
o
0
o
-s
O
-S
0
0
0
0
Q
_S
...
\
\
\
D
-L»)
\
\
§
2..
-L.J
—-l.-.\
-
h
Ru»
‘L KL.»
1
-‘*3
S\
N5 1
1.
z>="‘*‘
_-,
_..
\'
..¢
\
\
'
Q‘
g.$"gl
Q""9"
gww C‘
S
.
L
Q‘)
3
50°
O
O
—:
.- §
(3-9
1 =
0
-1-
O
-
F
K
50 .
0
o
0
-4'L'$)
.
_-S .
—S
0
-§(o_L$)
[§>x.\1. 5 Available at www.mathcity.org
‘-4 7
-
(g3__r»
~
m
mm
p)\4'\AA
L -
1\\,\-QC‘
2.\|],§C} i
'\))
Mu.
7—¢3v-Q-3%}
m
4.
c\
\$|
C1‘»\
Q3-\-3-(11)
\,_,_ ML;-,;\,1,k
,,_
1&1. +3\>z..
c'1“~'1¢1L
1-‘D1-'\-C)_
(§~.D.'l_,\/$'Y\-l¢v~¢)~/vi
Q.
C1.
‘>1.
M A
an
\I'->1
Q3
. (1 own '%x A
Y
.
34..
C‘-\-la‘
1_\,,\*¢;‘
‘
la‘;-"s\o|
C.-wL»» 1-\n;q-C1,
i‘I.\>;~'1-C‘;
‘V311
C-I
<>on.a-z\n+\-cw.
on; -rib; +\-C-1
t
2JO'3+3‘,3
7-°\\ '\"'5¥*|+ocl.
'10k\-k-Db‘-N-\-cu
Q¢‘,'_7_"i§_\.(‘_‘
"'
2'“-‘L‘\'3kL
Cum.-141].
cx\
B,
c,
Ow;
51.
C-L
1‘*“'3“"+°Q’~
'5<>~»+‘<>\°1+\-CL
"Mu +<5‘<3n\.c1
'
0‘
'5
L
2*
_°
3
2111 + "U01 +°¢1-
k
VA‘
:
‘o,
(-1
0.3.
‘O1
CL
In
‘O;
C1
“¢\\
5|
‘-'-
<>\1_
\>\_
Rx}
‘M
\
\
-
.§0*3Q°_-53 +Z(1-°)
Cl
.
CL‘ Qqlr“) ¢\>
1
E
5"”
r
!
-*
1-173)
a‘
\3-
-4
B,
B;
0&1
x
.
ff},
Cu
C1
\
\'\¢-~Ul
"
U»
ox
wg
\0\1
om»
{.¢
all
\3
V‘,
Q.
“Lg
k s“1I
n.
11>
HH,1';‘\5
'5$,1$11,
Q1-\
\>L
Q. 1
,.
.a,
\-\
C\\
‘:3
‘P3
S-%,'\\L_:,
$0,651}.
~=\z,u(,q'
(1)\_1L
M.
Tkpdc
3S'z_1>_
~_\
‘B
‘\
\
L
1
0
L
5
“L
1
1
H
L
A
=
2.
$1..
‘1
H
1
Sv"\
;
Q
<=\
9
~
6
z.
5'2. .4
‘B
L8 1
1‘
$.11 Q
‘5'
Ham
L
L ,
a.\L\\-.»..\£~§11)»
I\3.
~§'
4
$‘k'\\
H
QMQ
\
N
3-§
‘
_‘\'1/>¢9/won
5
A
X
'
3
'
.
L41‘.
S
R
-V
35.141
R§-\*\°?~\1+\OU?.\;J=~|L'rmR*\-\UOia»R ;
\,\‘J~|§q’
3
.
5,“\\(.
S‘
-- g°)LSL
L
ql)\‘
u\,151,_ 5%,-nu,
4
V
_'\'5
,
4
8u~,6§2.
J»
xx
4 <=\z,um '-J»_<1
_ aJ\,n
(l»-M~»~
L‘ 7
"
.
5
k\¢:...,~c_,-,
Ԥ
1 '4
A.
1
"5
*1
$
\
1
Q
1'Hl4
1
s
wn.
Y
W
\
"\§)l_
Q
s
s
4.>..,\,
I
'
7
.
_
W
K
I).
QLL
‘
-
l
ck
'U>
‘Q
\3.'
.
Vkn\I5<
VA4-+1.
L»-nl
W4)‘
km-t>"\
gxmq
U»-an
(\._1;"
*L¢~=\§”
~
1(Q-\-)k‘»-¢\(¢_¢»u-am-£)\z-1)
=
KC-1)‘
£c~u>L
,‘;‘>JZ\.
L¢J;£>—
~
” La-ML
(»-~»>‘"
(5-av‘
U--H“
(¢—»)1
(_c-1;
(¢—>\\L
K
\
M-E)‘
('1-131
‘\*
‘(I1-IOOKJPI.‘
1
1
‘L.
of-1¢~)-r')_
\>\-“I-\>la-1‘
\o\-l\~;\-‘gt
C1-1€.1*\-‘it
c‘..>.c-;+~;'
1
(1
-16.
\
$1
-l\p
\
QL
11>.
‘1
'_
»
¥\>~»~
¢\1.HL1\\3
Sn
31
_z¢
'
\
of-'l¢1+};L g-I-\»1~T."
C.‘-7-Ci‘.~\-EL
\
\
1
‘)
1.
5"
{L
1‘
u
\
'
.
H75 |
A‘
1
'Lq_
-"Lon.
l
b1
z_\,
\
1
\
1
6.
J
6‘.
_
L
1.
-o~*<1\
~
':--'2_ ?
1.
-
\>
\»
\
CL
Q
\
l
=-?-
I
L
g
\
c\-Q
0
51¢; -'\>-c
.0
0“-C. ‘
L
L
-‘
R1 - K 1
¢
¢-
\
§x¥-L{ 1
"I--I
“M~»¢i
m~c
1
Q-L
\ »"»<.‘
\»-<_
‘ —1\a-c)(bQc)
Q
R"e‘3
-\- C.
'
__\
‘
A-4. b +C.
\
*1“
\
=
A\
—tkq-C-)(b—c)(Q‘\-¢*¥_%5 ~7*§°\-WU»-<_§(C—0u) \.
=
*
’
Al‘ \
»
\
\
7*
")
1\
5
0
w 4
12
l »
-C
C
1
'
2‘
a-1
1-1
5_
X-IL
5- 1|;
\
I
?uMJ
1’
_c
Q
L
ix§~M¢&*
‘L
4
1‘
-1.1»-1 1-1
L
Q
.
1
I.
1
Q
\
V
Q
1:.
_
%‘~
..
_ ‘Fi
k_c
‘$““MM.
3
Ry »:~
Q9
,
‘—:7é, .
\
in : (1--t)(’3~l:)\
M
u
;;,,,1_:_(v\_~»)L~;_1)k2-1) VMXL:-lg
A
\1o-Jl».v>
Q13
'
e..’,1>L
0-!‘
'3-KG-\>\k\o-L§
Ix
R“
Q)
(¢-¢)(v\~‘>)(‘o-1)\'£-13
“mu-JK
0}
L\¢-L-
(‘.1
0k
of
0.
‘
;
-
-
A.
A.
\>
"51
1¢,_\:
C}
ldlu-..c
__¢
C.
\.__
c
Q
"ck
on
._\,
.
5
-C.
C
\>
Z
I (Q}+\B+_C-'5d-\0£
¢ c \~
.1.
3
‘
on
'
L
53.. ‘
L4.>k1I».=
1
--<1C.\O
C
O.
\o
B
a
C.
ck
\>
0.
B
Q
<1--\><1 --G
an
1.
C.
"Q"
,_
5-
C
0.
__\Q/c‘H:*\/C
__Ac +?(c_*\;~
:
—C
-\»‘+c¢+<.¢
-°>X° +c_‘+‘§’6
A
-'9‘
..o,%-»a_%\-c."
’-oz"-1-\>c+\,,¢
‘1.\>-1-0:“
I1‘
\,
$
¢_\
$2
-c.
\n¢a_(-)c C.
I
R1
3
kw-h\\u_i)k~>->1)
=
5'1 c"“““"” Q“- M‘
St
'
K1-1 )(‘>~1)(‘J+/I - 1-,1
=
,
U” *1’ .
5+1
mm-E
'
.
\
L C.
1“-\§ I
a
I
-—¢(C+\>‘+q/<.
")“- *K¢ +1‘ 1.
_c+¢-\n
"
+o\\n
L
B
J lab-<.L
M
T
(177 P\-yd.»
C”-M’-KM.
O\.A\
A
2
‘)..
Qvk o\\o
B
c
A INA»
-_
<1-
\
_
A\-A1.
1
(1
\>
___._-.__@
C.
.3
A":-
.
b
Q
M
§_~,_‘”_____L;_‘
R‘;
1
»~u»-m~\»u»--¢> ¢bC ..-(L -E \ -Q-Q~¥(_
=
1.
1
M
1
Y
C.
=
'8 3 —C_3-\-3a,¥‘Q --0.-\>
=
1 1 ~Ko\"+b +c. -"$¢‘oc‘)
1
C
--0~
B1
+@<@~»-m
=-bane E
r~
I
-ckcx 1'
.
1
“"'°oK°&'\°°\‘¢K“°‘\° *\A"1.-lT‘>‘\'\>\-\>L+a\v:.\ 1 1 +¢\,< —0~+°\\oC+a\>c-c3-\> -
=-A
3
'"°'~
=
A1
- 0.-—
*'$o\\>L~
Q-1'
- \<>~"+\§’+c"__1..\_,¢)
=
.
V\’...‘k
b=(
R...
Q-‘"‘\'¥-\-‘\'C-.;-'§a~¥(s].
"
I
1;
(_. 5 f"
\-M-V4.1
1
I
‘C-0»
it c.
\.‘
\
\
.‘L
C.
‘
mu-M
J
ml
"
=
0..
LA.-c."
h
.
L
\,_f;_ ¢_
-L
:c= a.
¥ ¢_
"C 5
1*
¢i|
.c'.‘v'" x
Avai|ab!>e at '
i
www.mathcity.org
1' 3. 1 =' (Q-\.b_~,.c,>___'5c'_‘~\}t-
L
L17 S
'
'
. %_
r'\";-~A
\'> *3
-,
”nAdjA,LCA$ '.
“~11
r»-Pr
M
1.
\
\
\
7.
\
\
\
W‘ *mM*AJt
Hwkmk .’
<*
*1‘-»4L
1
Laji \.»J '&.
P‘
1
\
\
"),_
‘
L
\
\
\ X
V
.
L
\'L*k
/“h-4v»»J
59
.“‘*’>’t
=
%®
.
\@~\
2_\\
New
\~=\~
;_R\
%,,,_,,
\1_\) +\\\-1.)
2 1_K\1_\‘)._\
1("s§—£\\ +(~\§
=
L—\ -x
~.
\;.,\ Nam.»
I
1
7»
M
4-
\\
z.\\ ‘}\
L‘
Pw¢\5P\:‘\\
\‘
‘\2-
\\\ 1
\.
|
8. .}\\.
U
it
‘
1
L\
1.
\
¢,,;,b*;b
U
\\§
"1\‘ |\l\ \\
‘2.~\' ‘2. \
\ \
'1
\1
\
\ ‘
\‘ 1 '
\
"
.
I
'
$13.. l
.
y‘
\
\
_'_;
'
Y;
‘Lw"'L“~
‘HQ
-U-H
‘*~l
H—\
-L1-\\
-U.-\\
H-\
'-(1-U
=
\-L s
rx3
___\
__\
-\
3
—\
L-\
‘~\
75
=
t
\_1
$1
.
.
’1
I
v
43
I
P\J~j.P\
*
s. (X
—\
-\
3
-\
§-\
—\
3
'3
T
I
-\
—\
1
A-\
-\ ~\' _
_}‘_
—\'
3
;_-
...\_
N
:
A
‘
@‘
?.._,
-\
So
"3 -\
.
H
*1
‘Q
-_;. --
Y
H
I
i_I_.i.i_._......._-.-_._-_.
1
,3 ‘I
W --
.
,. ,.
5.1-.
if
§
B
_c ¥
L‘:
|
“.1. -.<
n
k
-
',
D
=
..
a
N0.
é
»~..-V
3‘\
CL
“
1
'5
'5
>
15
ouh
1"-Iv~¢vJ
»\
Q
q
5
¥
<2
AVa"aiT=§$ at
_‘!\’\'V\/\/,<.-¢'1A1,i=1"i§f“|cag';:;y,,¢;,¢g V
\‘k4J(
f-~. K .
H
-I
5‘
.\
1.; ,;
.x_i
r.
-2“
\».
..__-1,
\
L .,
A;M?*
(D
_
-
_»), _img. '4: 5
.;J=
Hi
1:.
-
.
;
2
"
,-
y\
3
=1
>
:2, 415" 4
'-
,..
‘: .;_,
1»
'
" I
I
~ ~!
%
%
3,
"
H30 Haul
¢f~\r\ \D\
‘MM
=
\
'55’
M
4.x‘?¢~....L'-1
1»
. uL\\c-§‘)-\~(¢-\»~')H+‘1U\§—55§ ¢\\c__aJ;‘_.C.\\L+')\\§+j\n§_'L\n as
,_
\\>\
L
.
Nev-‘
1;
+13»\§_~=~§—‘-\'\
a~\c-
x‘
_‘\~‘%\
§¢
,
Mp -1_
H1
kg
4
‘1 c
k
,\
’\¢-§
=
.'
\v\-
\-
45
1.
_.
\
5
‘Y
‘Q
‘l\‘
_\c_\\ .-13;)
ac-‘)1
\,\§__3\
..(¢\§_-1k)
+.
\\§-sh
-<¢»~~~m
'
-’(°\§ o\\o
A
-5“) -\\" 1
U <-g‘
55-0“
as-Ck
‘C-3L
\n§-')\n
1"\—°'~§
g¢,§‘
MD
em‘-*'x"’
W
L.
-
*'"-
.»~@é*, |o_
..--
"'
"'
‘- 3K‘,
1\
5
D
l
_t_
._
__'
.
‘F0 (QM)
W
11;
\-\
L..-
L -15
...\
,
3.§_c.\¢\_
3§_c~\_
QC-ah
“s,-av
¢)k_$§
K
W;-3k
’Q
1
\
u ~‘?
‘*5
‘kl
\r\§ .-5X
d\\_,\\'4.
*'
HEM
»
s.1%,w,Q)
V
be-§‘ \
.L\ 1
D
=
(“$1-1.5\\§-4>~§
L"')5~L\~ -ck‘-3%)
L‘
‘
;
W
.
,.
kg -5»,
<>\¢~‘)L
5\\~¢§
-;\\_o~§
¢\--\\.L
I
§Y
______,__,___._.._-.-Q----——-—--
{\
(\'\'\) A
-\
2.
1
\
-\
>
1"
-1
X
.
" -
\
'
\
1-
\1'cP\‘1_\——\
i
I
'sA1.~1" \,.;q_
X-.n.¢
\‘k¢J<
If
$155
as
I
\P\\
.
“M
\
\P~\
~\
1
11-1--
L
1-
.
-\
\
T
€-.,v.,.
P~\
: \(-1+1_§+\Q~‘1+3§+1(H_-'5) O-\-Q-L
2
=\ #0
-\5\\
,. Y
B
i. iv v.
~~
E
‘A. Ma‘ '
-
\::;\ --\1
I
H
QL
Q.Rl.kk»‘>‘
R‘
-\:::\\:;\ ‘ \
-1‘
‘I
)1‘ .1
-\;
D1
t"
,vJ@‘»
i
1
~ \
sa.
Ii
Q
\'\Ii-5\;
j§_C_\»
L -'L
,
1
1!
-\ l
J3
1-
5:;
H ‘<51
t
F-
"'3-’\L
_(-L\4-33
—£1~\\)
"'- -L
- \-1
_\-pa)
=
"‘A~5§"‘
0 1.
\
’
Q
L
\
~%
€1\5-~
1
‘
~\ Y
-i
h\ gu
\-n.
-3
Ԥ
\
~.»;&\=\
\
'3-5
"A
L.
1
_.\1.-+1)
\\
r’
'--\._
3
(D
O2.-I A
-
,, P‘
xly
-
.1_..§@
1
‘
{Q \
L\
‘B
Y
-Y
1
1
~\
-as
s
—
§
3
_~__*;_______
_i.
.N Merging Mzm
an maths
O9