eaeaioiinoe;
a) iao?eoeo aania.
ae) Aeey a?aoa Gi? auienaoue iao?eoeo niaaeiinoe.
Ioia?aoeey aa?oei – ni. ?en 1
a) V={0,1,2,3,4,5,6,7,8,9}
X={{0,1},{0,2},{0,3},{1,2},{1,4},{1,5},{1,6},{1,7},{2,3},{2,5},{3,8},{3
,9},{4,5},{4,6},{5,3},{5,6},{5,8},{6,9},{7,8},{7,9},{8,9}}
A aeaeueiaeoai ?aa?a aoaeoo iaicia/aoueny iiia?aie a oeacaiiii ii?yaeea
ia/eiay n ioey.
a) A0={1,2,3};
A1={0,2,4,5,6,7};
A2={0,1,3,5};
A3={0,2,5,8,9};
A4={1,5,6};
A5={1,2,3,4,6,8};
A6={1,4,5,9};
A7={1,8,9};
A8={1,3,5,7,9};
A9={3,6,7,8};
a) Ioia?aoeey aa?oei e ?aaa? niioaaonoaaiii i. a)
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
3
0
0
1
0
0
0
0
0
1
0
1
1
0
0
1
0
0
0
0
0
0
4
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
5
0
0
0
0
0
1
0
0
0
1
0
0
1
0
1
1
1
0
0
0
0
6
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
1
0
0
0
7
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
8
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
1
9
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
1
a) Iieacaia aa?oiyy iieiaeia iao?eoeu, o.e. iao?eoea aania
iai?eaioe?iaaiiiai a?aoa neiiao?e/ia ioiineoaeueii aeaaiie aeeaaiiaee.
0
1
2
3
4
5
6
7
8
9
0
SYMBOL 165 \f “GreekMathSymbols”
8
3
5
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
1
SYMBOL 165 \f “GreekMathSymbols”
1
SYMBOL 165 \f “GreekMathSymbols”
2
2
4
5
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
2
SYMBOL 165 \f “GreekMathSymbols”
2
SYMBOL 165 \f “GreekMathSymbols”
5
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
3
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
1
6
4
SYMBOL 165 \f “GreekMathSymbols”
4
2
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
5
SYMBOL 165 \f “GreekMathSymbols”
2
SYMBOL 165 \f “GreekMathSymbols”
1
SYMBOL 165 \f “GreekMathSymbols”
6
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
2
7
SYMBOL 165 \f “GreekMathSymbols”
1
1
8
SYMBOL 165 \f “GreekMathSymbols”
6
9
SYMBOL 165 \f “GreekMathSymbols”
ae) Iao?eoea niaaeiinoe aeey a?aoa Gi?.
0
1
2
3
4
5
6
7
8
9
0
SYMBOL 165 \f “GreekMathSymbols”
1
1
1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
1
-1
SYMBOL 165 \f “GreekMathSymbols”
1
SYMBOL 165 \f “GreekMathSymbols”
1
1
1
1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
2
-1
-1
SYMBOL 165 \f “GreekMathSymbols”
1
SYMBOL 165 \f “GreekMathSymbols”
1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
3
-1
SYMBOL 165 \f “GreekMathSymbols”
-1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
-1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
1
1
4
SYMBOL 165 \f “GreekMathSymbols”
-1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
1
1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
5
SYMBOL 165 \f “GreekMathSymbols”
-1
-1
1
-1
SYMBOL 165 \f “GreekMathSymbols”
1
SYMBOL 165 \f “GreekMathSymbols”
1
SYMBOL 165 \f “GreekMathSymbols”
6
SYMBOL 165 \f “GreekMathSymbols”
-1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
-1
-1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
1
7
SYMBOL 165 \f “GreekMathSymbols”
-1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
1
1
8
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
-1
SYMBOL 165 \f “GreekMathSymbols”
-1
SYMBOL 165 \f “GreekMathSymbols”
-1
SYMBOL 165 \f “GreekMathSymbols”
1
9
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
-1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
-1
-1
-1
SYMBOL 165 \f “GreekMathSymbols”
Caaea/a 2 Iaeoe aeeaiao? D(G), ?aaeeon R(G), eiee/anoai oeaio?ia Z(G)
aeey a?aoa G ; oeacaoue aa?oeiu, yaeythueany oeaio?aie a?aoa G.
D(G)=2
R(G)=2
Z(G)=10
Ana aa?oeiu a?aoa G(V,X) yaeythony oeaio?aie.
Caaea/a 3 Ia?aioia?iaaoue aa?oeiu a?aoa G, eniieuecoy aeai?eoiu:
a) “iienea a aeoaeio”;
a) “iienea a oe?eio”.
Enoiaeiay aa?oeia – SYMBOL 97 \f “Symbol” .
a)
a)
Caaea/a 4 Eniieuecoy aeai?eoi I?eia iaeoe inoia ieieiaeueiiai aana
a?aoa G. auienaoue eiae oeeaaeee ia ieineinoe iaeaeaiiiai aea?aaa,
i?eiya ca ei?iaaoth aa?oeio SYMBOL 97 \f “Symbol” .
Aan iaeaeaiiiai aea?aaa – 14.
Eiae oeeaaeee aea?aaa: 000011000001111111.
Caaea/a 5 Eniieuecoy aeai?eoi Aeaeeno?a iaeoe aea?ai e?ao/aeoeo iooae
ec aa?oeiu SYMBOL 97 \f “Symbol” a?aoa G.
Aan iaeaeaiiiai iooe – 8.
Caaea/a 6 Eniieuecoy aeai?eoi Oi?aea – Oaeea?niia, iaeoe iaeneiaeueiue
iioie ai acaaoaiiie aeaoiiethniie i?eaioe?iaaiiie naoe {Gi? , SYMBOL 97
\f “Symbol” , w}. Oeacaoue ?ac?ac ieieiaeueiiai aana.
Iineaaeiaaoaeueiinoue ianuuaiey naoe (ianuuaiiua ?aa?a ioia/aiu
e?oaea/eaie):
1-e oaa
2-e oaa
3-e oaa
4-e oaa
5-e oaa
6-e oaa
7-e oaa
Ieii/aoaeueii eiaai:
Eae aeaeii ec ?enoiea, ?aa?a {6,9},{7,9},{3,9}, ieoathuea aa?oeio
SYMBOL 119 \f “GreekMathSymbols” , ianuuaiiu, a inoaaoaany ?aa?i {8,9},
ieoathuaany io aa?oeiu 8, ia iiaeao iieo/eoue aieueoaa cia/aiea aaniaie
ooieoeee, oae eae ianuuaiiu ana ?aa?a, ieoathuea aa?oeio 8. Ae?oaeie
neiaaie – anee ioa?ineoue ana ianuuaiiua ?aa?a, oi aa?oeia SYMBOL 119
\f “GreekMathSymbols” iaaeinoeaeeia, /oi yaeyaony i?eciaeii
iaeneiaeueiiai iioiea a naoe.
Iaeneiaeueiue iioie a naoe ?aaai 12.
Ieieiaeueiue ?ac?ac naoe ii /eneo ?aaa?: {{0,1},{0,2},{0,3}}. Aai
i?iioneiay niiniaiinoue ?aaia 16
Ieieiaeueiue ?ac?ac naoe ii i?iioneiie niiniaiinoe: {{6,9}, {7,9},
{3,9}, {3,8}, {5,8}, {7,8}}. Aai i?iioneiay niiniaiinoue ?aaia 12.
Caaea/a 7 (Caaea/a i ii/oaeueiia) Auienaoue noaiaiioth
iineaaeiaaoaeueiinoue aa?oei a?aoa G.
a) Oeacaoue a a?aoa G Yeea?iao oeaiue. Anee oaeiaie oeaie ia nouanoaoao,
oi a a?aoa G aeiaaaeoue iaeiaiueoaa /enei ?aaa? oaeei ia?acii, /oiau a
iiaii a?aoa iiaeii auei oeacaoue Yeea?iao oeaiue.
a) Oeacaoue a a?aoa G Yeea?ia oeeee. Anee oaeiai oeeeea ia nouanoaoao,
oi a a?aoa G aeiaaaeoue iaeiaiueoaa /enei ?aaa? oaeei ia?acii, /oiau a
iiaii a?aoa iiaeii auei oeacaoue Yeea?ia oeeee.
Noaiaiiay iineaaeiaaoaeueiinoue aa?oei a?aoa G:
(3,6,4,5,3,6,4,3,4,4)
a) Aeey nouanoaiaaiey Yeea?iaie oeaie aeiionoeii oieueei aeaa aa?oeiu n
ia/aoiuie noaiaiyie, iiyoiio iaiaoiaeeii aeiaaaeoue iaeii ?aa?i, neaaeai
iaaeaeo aa?oeiaie 4 e 7.
Iieo/aiiay Yeea?iaa oeaiue:
0,3,2,0,1,2,5,1,4,5,6,1,7,4,6,9,7,8,9,3,8,5,3.
Noaia Yeea?iaie oeaie (aeiaaaeaiiia ?aa?i iieacaii ioieoe?ii):
a) Aiaeiae/ii ioieoo a) aeiaaaeyai ?aa?i {3,0}, caiueay Yeea?iao oeaiue
(i?e yoii auiieiyy oneiaea nouanoaiaaiey Yeea?iaa oeeeea – /aoiinoue
noaiaiae anao aa?oei). ?aa?i {3,0} e?aoiia, /oi ia i?ioeai?a/eo
caaeaieth, ii i?e iaiaoiaeeiinoe iiaeii aaanoe ?aa?a {0,7} e {4,3}
aianoi ?aiaa aaaaeaiiuo.
Iieo/aiiue Yeea?ia oeeee:
0,3,2,0,1,2,5,1,4,5,6,1,7,4,6,9,7,8,9,3,8,5,3,0.
Noaia Yeea?iaa oeeeea (aeiaaaeaiiua ?aa?a iieacaiu ioieoe?ii):
Caaea/a 8
a) Oeacaoue a a?aoa Gi? Aaieeueoiiia iooue. Anee oaeie iooue ia
nouanoaoao, oi a a?aoa Gi? eciaieoue i?eaioaoeeth iaeiaiueoaai /enea
?aaa? oaeei ia?acii, /oiau a iiaii a?aoa Aaieeueoiiia iooue iiaeii auei
oeacaoue.
a) Oeacaoue a a?aoa Gi? Aaieeueoiiia oeeee. Anee oaeie oeeee ia
nouanoaoao, oi a a?aoa Gi? eciaieoue i?eaioaoeeth iaeiaiueoaai /enea
?aaa? oaeei ia?acii, /oiau a iiaii a?aoa Aaieeueoiiia oeeee iiaeii auei
oeacaoue.
a) Aaieeueoiiia iooue (?aa?a n eciaiaiiie i?eaioaoeeae iieacaiu
ioieoe?ii):
a) Aaieeueoiiia oeeee (?aa?a n eciaiaiiie i?eaioaoeeae iieacaiu
ioieoe?ii):
. Auiieieoue ?enoiie.
Enoiaeiay oaaeeoea.
x1
x2
x3
x4
x5
x6
x1
SYMBOL 165 \f “GreekMathSymbols”
3
7
2
SYMBOL 165 \f “GreekMathSymbols”
11
x2
8
SYMBOL 165 \f “GreekMathSymbols”
06
SYMBOL 165 \f “GreekMathSymbols”
4
3
x3
6
05
SYMBOL 165 \f “GreekMathSymbols”
7
SYMBOL 165 \f “GreekMathSymbols”
2
x4
6
SYMBOL 165 \f “GreekMathSymbols”
13
SYMBOL 165 \f “GreekMathSymbols”
5
SYMBOL 165 \f “GreekMathSymbols”
x5
3
3
3
4
SYMBOL 165 \f “GreekMathSymbols”
5
x6
8
6
SYMBOL 165 \f “GreekMathSymbols”
2
2
SYMBOL 165 \f “GreekMathSymbols”
14
x1
x2
x3
x4
x5
x6
x1
SYMBOL 165 \f “GreekMathSymbols”
1
5
01
SYMBOL 165 \f “GreekMathSymbols”
7
2
x2
8
SYMBOL 165 \f “GreekMathSymbols”
01
SYMBOL 165 \f “GreekMathSymbols”
4
1
x3
6
00
SYMBOL 165 \f “GreekMathSymbols”
7
SYMBOL 165 \f “GreekMathSymbols”
00
x4
1
SYMBOL 165 \f “GreekMathSymbols”
8
SYMBOL 165 \f “GreekMathSymbols”
01
SYMBOL 165 \f “GreekMathSymbols”
5
x5
01
00
00
1
SYMBOL 165 \f “GreekMathSymbols”
00
3
x6
6
4
SYMBOL 165 \f “GreekMathSymbols”
00
00
SYMBOL 165 \f “GreekMathSymbols”
2
2
Ae?iaei ii ia?aoiaeo x2-x3:
23 SYMBOL 229 \f “GreekMathSymbols” =14+0=14
x1
x2
x4
x5
x6
x1
SYMBOL 165 \f “GreekMathSymbols”
1
01
SYMBOL 165 \f “GreekMathSymbols”
7
x3
6
SYMBOL 165 \f “GreekMathSymbols”
7
SYMBOL 165 \f “GreekMathSymbols”
06
x4
1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
01
SYMBOL 165 \f “GreekMathSymbols”
x5
01
01
1
SYMBOL 165 \f “GreekMathSymbols”
00
x6
6
4
00
00
SYMBOL 165 \f “GreekMathSymbols”
23 SYMBOL 229 \f “GreekMathSymbols” =14+1=15
x1
x2
x3
x4
x5
x6
x1
SYMBOL 165 \f “GreekMathSymbols”
1
5
01
SYMBOL 165 \f “GreekMathSymbols”
7
x2
7
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
3
03
1
x3
6
00
SYMBOL 165 \f “GreekMathSymbols”
7
SYMBOL 165 \f “GreekMathSymbols”
00
x4
1
SYMBOL 165 \f “GreekMathSymbols”
8
SYMBOL 165 \f “GreekMathSymbols”
01
SYMBOL 165 \f “GreekMathSymbols”
x5
01
00
05
1
SYMBOL 165 \f “GreekMathSymbols”
00
x6
6
4
SYMBOL 165 \f “GreekMathSymbols”
00
00
SYMBOL 165 \f “GreekMathSymbols”
23. Ae?iaei ii ia?aoiaeo x3-x6:
23E36 SYMBOL 229 \f “GreekMathSymbols” =14+0=14
x1
x2
x4
x5
x1
SYMBOL 165 \f “GreekMathSymbols”
1
01
SYMBOL 165 \f “GreekMathSymbols”
x4
1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
01
x5
01
01
1
SYMBOL 165 \f “GreekMathSymbols”
x6
6
SYMBOL 165 \f “GreekMathSymbols”
00
00
36 SYMBOL 229 \f “GreekMathSymbols” =14+6=20
x1
x2
x4
x5
x6
x1
SYMBOL 165 \f “GreekMathSymbols”
1
01
SYMBOL 165 \f “GreekMathSymbols”
7
x3
01
SYMBOL 165 \f “GreekMathSymbols”
1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
6
x4
1
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
01
SYMBOL 165 \f “GreekMathSymbols”
x5
00
01
1
SYMBOL 165 \f “GreekMathSymbols”
07
x6
6
4
00
00
SYMBOL 165 \f “GreekMathSymbols”
36. Ae?iaei ii ia?aoiaeo x4-x5:
45 SYMBOL 229 \f “GreekMathSymbols” =14+0=14
x1
x2
x4
x1
SYMBOL 165 \f “GreekMathSymbols”
1
01
x5
01
01
1
x6
6
SYMBOL 165 \f “GreekMathSymbols”
00
45 SYMBOL 229 \f “GreekMathSymbols” =14+1=15
x1
x2
x4
x5
x1
SYMBOL 165 \f “GreekMathSymbols”
1
01
SYMBOL 165 \f “GreekMathSymbols”
x4
00
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
SYMBOL 165 \f “GreekMathSymbols”
1
x5
01
01
1
SYMBOL 165 \f “GreekMathSymbols”
x6
6
SYMBOL 165 \f “GreekMathSymbols”
00
00
45. Ae?iaei ii ia?aoiaeo x5-x1:
51 SYMBOL 229 \f “GreekMathSymbols” =14+1=15
x2
x4
x1
1
SYMBOL 165 \f “GreekMathSymbols”
1
x6
SYMBOL 165 \f “GreekMathSymbols”
00
51 SYMBOL 229 \f “GreekMathSymbols” =14+6=20
x1
x2
x4
x1
SYMBOL 165 \f “GreekMathSymbols”
1
01
x5
SYMBOL 165 \f “GreekMathSymbols”
01
SYMBOL 165 \f “GreekMathSymbols”
x6
0
SYMBOL 165 \f “GreekMathSymbols”
00
6
Ieii/aoaeueii eiaai Aaieeueoiiia eiioo?: 2,3,6,4,5,1,2.
I?aaea?aai ?acaeaiee:
Caaea/a 10 (Caaea/a i iacia/aieyo) Aeai iieiue aeaoaeieueiue a?ao Knn n
aa?oeiaie ia?aie aeiee x1, x2,…xn.e aa?oeiaie ae?oaie aeiee y1,
y2,…yn..Aan ?aa?a {xi,yj} caaeaaony yeaiaioaie vij iao?eoeu aania.
Eniieuecoy aaiaa?neee aeai?eoi, iaeoe niaa?oaiiia ia?ini/aoaiea
ieieiaeueiiai (iaeneiaeueiiai aana). Auiieieoue ?enoiie.
Iao?eoea aania aeaoaeieueiiai a?aoa K55 :
y1
y2
y3
y4
y5
x1
2
0
0
0
0
x2
0
7
9
8
6
x3
0
1
3
2
2
x4
0
8
7
6
4
x5
0
7
6
8
3
Ia?aue yoai – iieo/aiea ioeae ia ioaeai, o. e. ioee oaea anoue ai anao
no?ie e noieaoeao.
Aoi?ie yoai – iaoiaeaeaiea iieiiai ia?ini/aoaiey.
y1
y2
y3
y4
y5
x1
2
0
0
0
0
x2
0
7
9
8
6
x3
0
1
3
2
2
x4
0
8
7
6
4
x5
0
7
6
8
3
O?aoee yoai – iaoiaeaeaiea iaeneiaeueiiai ia?ini/aoaiey.
y1
y2
y3
y4
y5
x1
2
0
0
0
0
X
x2
0
7
9
8
6
X
x3
0
1
3
2
2
x4
0
8
7
6
4
x5
0
7
6
8
3
X
X
*aoaa?oue yoai – iaoiaeaeaiea ieieiaeueiie iii?u.
y1
y2
y3
y4
y5
x1
2
0
0
0
0
x2
0
7
9
8
6
5
x3
0
1
3
2
2
1
x4
0
8
7
6
4
2
x5
0
7
6
8
3
3
4
Iyoue yoai – aiciiaeiay ia?anoaiiaea iaeioi?uo ioeae.
y1
y2
y3
y4
y5
x1
3
0
0
0
0
x2
0
6
8
7
5
5
x3
0
0
2
1
1
1
x4
0
7
6
5
3
2
x5
0
6
5
7
2
3
4
?aoaiea n iaioeaaui cia/aieai. Ia?aoiae ei aoi?iio yoaio.
Iieiia ia?ini/aoaiea:
y1
y2
y3
y4
y5
x1
3
0
0
0
0
x2
0
6
8
7
5
x3
0
0
2
1
1
x4
0
7
6
5
3
x5
0
6
5
7
2
Iaeneiaeueiia ia?ini/aoaiea:
y1
y2
y3
y4
y5
x1
3
0
0
0
0
X
x2
0
6
8
7
5
X
x3
0
0
2
1
1
x4
0
7
6
5
3
x5
0
6
5
7
2
X
X
Ieieiaeueiay iii?a:
y1
y2
y3
y4
y5
x1
3
0
0
0
0
6
x2
0
6
8
7
5
7
x3
0
0
2
1
1
1
x4
0
7
6
5
3
2
x5
0
6
5
7
2
3
4
5
Ia?anoaiiaea ioeae:
y1
y2
y3
y4
y5
x1
3
0
0
0
0
6
x2
0
6
8
7
5
7
x3
0
0
2
1
1
1
x4
0
7
6
5
3
2
x5
0
6
5
7
2
3
4
5
Iieiia ia?ini/aoaiea:
y1
y2
y3
y4
y5
x1
3
0
0
0
0
6
x2
0
6
8
7
5
7
x3
0
0
2
1
1
1
x4
0
7
6
5
3
2
x5
0
6
5
7
2
3
4
5
Iaeneiaeueiia ia?ini/aoaiea:
y1
y2
y3
y4
y5
x1
3
0
0
0
0
X
x2
0
6
8
7
5
x3
0
0
2
1
1
X
x4
0
7
6
5
3
X
x5
0
6
5
7
2
X
X
X
Ieieiaeueiay iii?a:
y1
y2
y3
y4
y5
x1
3
0
0
0
0
x2
0
6
8
7
5
1
x3
0
0
2
1
1
x4
0
7
6
5
3
x5
0
6
5
7
2
2
3
Ia?anoaiiaea ioeae:
y1
y2
y3
y4
y5
x1
5
0
0
0
0
x2
0
4
6
5
3
1
x3
2
0
2
1
1
x4
2
7
6
5
3
x5
0
4
3
5
0
2
3
Iieiia ia?ini/aoaiea:
y1
y2
y3
y4
y5
x1
5
0
0
0
0
x2
0
4
6
5
3
x3
2
0
2
1
1
x4
2
7
6
5
3
x5
0
4
3
5
0
Iaeneiaeueiia ia?ini/aoaiea:
y1
y2
y3
y4
y5
x1
5
0
0
0
0
X
x2
0
4
6
5
3
X
x3
2
0
2
1
1
X
x4
2
7
6
5
3
x5
0
4
3
5
0
X
X
X
X
X
Ieieiaeueiay iii?a:
y1
y2
y3
y4
y5
x1
5
0
0
0
0
x2
0
4
6
5
3
x3
2
0
2
1
1
x4
2
7
6
5
3
1
x5
0
4
3
5
0
Ia?anoaiiaea ioeae:
y1
y2
y3
y4
y5
x1
5
0
0
0
0
x2
0
4
6
5
3
x3
2
0
2
1
1
x4
0
5
4
3
1
1
x5
0
4
3
5
0
Iieiia ia?ini/aoaiea:
y1
y2
y3
y4
y5
x1
5
0
0
0
0
x2
0
4
6
5
3
x3
2
0
2
1
1
x4
0
5
4
3
1
1
x5
0
4
3
5
0
Iaeneiaeueiia ia?ini/aoaiea:
y1
y2
y3
y4
y5
x1
5
0
0
0
0
X
x2
0
4
6
5
3
X
x3
2
0
2
1
1
X
x4
0
5
4
3
1
x5
0
4
3
5
0
X
X
X
X
X
Ieieiaeueiay iii?a:
y1
y2
y3
y4
y5
x1
5
0
0
0
0
x2
0
4
6
5
3
3
x3
2
0
2
1
1
x4
0
5
4
3
1
1
x5
0
4
3
5
0
2
Ia?anoaiiaea ioeae:
y1
y2
y3
y4
y5
x1
6
0
0
0
0
x2
0
3
5
4
2
3
x3
3
0
2
1
1
x4
0
4
3
2
0
1
x5
1
4
3
5
0
2
Iieiia ia?ini/aoaiea:
y1
y2
y3
y4
y5
x1
6
0
0
0
0
x2
0
3
5
4
2
3
x3
3
0
2
1
1
x4
0
4
3
2
0
1
x5
1
4
3
5
0
2
Iaeneiaeueiia ia?ini/aoaiea:
y1
y2
y3
y4
y5
x1
6
0
0
0
0
X
x2
0
3
5
4
2
X
x3
3
0
2
1
1
X
x4
0
4
3
2
0
x5
1
4
3
5
0
X
X
X
X
X
Ieieiaeueiay iii?a:
y1
y2
y3
y4
y5
x1
6
0
0
0
0
x2
0
3
5
4
2
4
x3
3
0
2
1
1
x4
0
4
3
2
0
1
x5
1
4
3
5
0
5
2
3
A ?acoeueoaoa eiaai:
y1
y2
y3
y4
y5
x1
6
0
0
0
0
x2
0
1
3
2
2
4
x3
3
0
2
1
1
x4
0
2
1
0
0
1
x5
1
4
3
5
0
5
2
3
Enoiaeiue a?ao
Aan iaeaeaiiiai niaa?oaiiiai ia?ini/aoaiey = 12.
Caaea/a 11 ?aoeoue caaea/o 10, eniieuecoy aeai?eoi aaoaae e a?aieoe
(ioiaeaeanoaea aa?oeiu xi e yj).
Oaaeeoea A (enoiaeiay). No?iee – xi , noieaoeu – yj. SYMBOL 229 \f
“GreekMathSymbols” =0
1
2
3
4
5
1
2
01
03
02
02
2
06
7
9
8
6
3
01
1
3
2
2
4
04
8
7
6
4
5
03
7
6
8
3
Ae?iaei ii ia?aoiaeo x2 – y1:
Oaaeeoea A21 SYMBOL 229 \f “GreekMathSymbols” =0+8=8
2
3
4
5
1
00
02
01
00
3
01
2
1
1
1
4
4
3
2
02
4
5
4
3
5
03
3
21 SYMBOL 229 \f “GreekMathSymbols” =0+6=6
1
2
3
4
5
1
2
01
03
02
00
2
SYMBOL 165 \f “GreekMathSymbols”
1
3
2
01
6
3
01
1
3
2
2
4
04
8
7
6
4
5
03
7
6
8
3
21:
Ae?iaei ii ia?aoiaeo x4 – y1:
21A41 SYMBOL 229 \f “GreekMathSymbols” =6+4=10
2
3
4
5
1
00
02
01
00
2
1
3
2
01
3
01
2
1
1
1
5
4
3
5
03
3
41 SYMBOL 229 \f “GreekMathSymbols” =6+4=10
1
2
3
4
5
1
2
01
03
02
00
2
SYMBOL 165 \f “GreekMathSymbols”
1
3
2
01
3
01
1
3
2
2
4
SYMBOL 165 \f “GreekMathSymbols”
4
3
2
02
4
5
03
7
6
8
3
I?iaeieaeaai ii A21:
Ae?iaei ii ia?aoiaeo x5 – y5:
Oaaeeoea A21A55 SYMBOL 229 \f “GreekMathSymbols” =8+2=10
2
3
4
1
00
01
00
3
01
2
1
4
2
1
01
2
55 SYMBOL 229 \f “GreekMathSymbols” =8+3=11
2
3
4
5
1
00
02
01
00
3
01
2
1
1
4
4
3
2
02
5
1
01
2
SYMBOL 165 \f “GreekMathSymbols”
3
I?iaeieaeaai ii A21A55:
Ae?iaei ii ia?aoiaeo x3 – y2:
Oaaeeoea A21A55A32 SYMBOL 229 \f “GreekMathSymbols” =10+0=10
3
4
1
01
00
4
1
01
Aeaeaa ?aoaiea i/aaeaeii: x1 – y3 e x4 – y4. Yoi ia oaaee/eo ioeaieo.
A eoiaa eiaai niaa?oaiiia ia?ini/aoaiea n ieieiaeueiui aanii:
I?aaea?aai ?acaeaiee:
hSymbols”
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