Desítka a její řešení

Ke hře jsou potřeba alespoň 4 sady čísel od jedné do deseti. Děti se seskupí kolem stolu. Zamícháme balíček karet a na stůl vyložíme čtyři karty. Z nich hráči sestavují příklad. Vyložená čísla kombinují s použitím všech matematických operací, libovolného přeskupování a závorkování tak, aby byl výsledek vždy 10.

Seznam Řešení Desítky není úplný. Jde to otevřenou záležitost, kterou si i sami můžete upravovat a doplňovat. Původně vznikl jako pomocník při řešení sporů, zda daná čtveřice má řešení jiné než mocninné. Nová nalezená řešení nám, prosím, zašlete na e-mail: vlada@abaku.org.

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Řešení Desítky

1 1 1 1 11-1*1

1 1 1 2 11+1-2 12-1-1 21-11

1 1 1 3 3^{1+1}+1

1 1 1 4 (1+1)*(1+4)

1 1 1 5 (1+1)*1*5

1 1 1 6 (1+1)*(6-1)

1 1 1 7 1+1+1+7

1 1 1 8 1*1+1+8

1 1 1 9 1*1*1+9

1 1 1 10 1*1*1*10

1 1 2 2 (1+2)^2+1 12-2*1 (21-1)/2 11-2/2

1 1 2 3 (1+1)*(2+3) 3^2+1*1 31-21 12+1-3

1 1 2 4 1+1+2*4 1*2*(1+4)

1 1 2 5 1*1*2*5 

1 1 2 6 2*6-1-1 (6-1)*2*1 1+1+2+6

1 1 2 7 1*1+2+7 (1+1)*(7-2)

1 1 2 8 1*1*2+8 

1 1 2 9 2-1*1+9 {11+9}\over2

1 1 2 10 2-1-1+10 10*2/(1+1)

1 1 3 3 3*3+1*1 13-3*1 11-3/3 (31-1)/3

1 1 3 4 41-31 3*4-1-1 13+1-4 14-3-1 11+3-4 (4+1)*(3-1)

1 1 3 5 1+1+3+5 (3-1)*1*5 13+1+1-5 (3!-1)*1+5 (5\over3)*1*1

1 1 3 6 1*1+3+6 (6-1)*(3-1) 3!+6-1-1

1 1 3 7 1*1*3+7 11-7+3! ({7-1-1}\over3)

1 1 3 8 8+3-1*1 (8-3)*(1+1)

1 1 3 9 9+3-1-1 

1 1 3 10 (3-1-1)*10

1 1 4 4 (41-1)/4 1+1+4+4 14-4*1 11-4/4

1 1 4 5 1*1+4+5 14+4-5 51-41 (5nad4)*1*1 (4-1)!+5-1

1 1 4 6 1*1*4*6 ({6-1}nad{4-1})

1 1 4 7 4+7-1*1 

1 1 4 8 4+8-1-1

1 1 4 9 (1+1)*(9-4)

1 1 4 10 (1-1)*4+10

1 1 5 5 1-1+5+5 15-5*1 (5nad{5-1-1}) (51-1)/5 11-5/5

1 1 5 6 5+6-1*1 61-51 (5nad{6/1+1}) 11+5-6 

1 1 5 7 5+7-1-1

1 1 5 8 1^5+1+8 (1^8+1)*5

1 1 5 9 (5nad{(1+1)SQR9}) 1*1^5+9

1 1 5 10 (1-1)*5+10 10/(1+1)+5 (10-5)*(1+1)

1 1 6 6 (61-1)/6 6+6-1-1 16-6*1 11-6/6

1 1 6 7 71-61 6/(1+1)+7 11+6-7 17-6-1 16+1-7

1 1 6 8 8/(1+1)+6 (1+1)*8-6

1 1 6 9 1*1^6+9 6^(1-1)+9

1 1 6 10 (1-1)*6+10

1 1 7 7 (71-1)/7 1*17-7 11-7/7 

1 1 7 8 17+1-8 18-1-7 81-71

1 1 7 9 (1+1)SQR9+7 9nad(7+1)+1 1*1^7+9

1 1 7 10 (1-1)*7+10 7^(1-1)*10 10nad(7+1+1)

1 1 8 8 (81-1)/8 18-8*1 11-8/8

1 1 8 9 11+8-9 91-81 19-8-1 18+1-9

1 1 8 10 (1-1)*8+10 

1 1 9 9 (91-1)/9 9^(1-1)+9 19-9*1 11-9/9

1 1 9 10 (1-1)*9+10 10*9^(1-1) 11+9-10 19+1-10 101-91

1 1 10 10 (1-1)*10+10 (1+1)*10-10 (10+10)/(1+1)  

1 2 2 2 22-12 22/2-1 2^(2+1)+2

1 2 2 3 3^2+2-1 (3+2)*2*1 2^3+2*1

1 2 2 4 12+2-4 14-2-2 4*2+2*1 12-4/2 12/2+4

1 2 2 5 (2-1)*2*5 1+2+2+5 (2/2+1)*5

1 2 2 6 1*2+2+6 2*6-2*1 (6+1-2)*2

1 2 2 7 7+2+2-1 (7-2)*2*1 

1 2 2 8 (8+2)*(2-1) 2/2+1+8 (12+8)/2

1 2 2 9 2/2*1+9 9-2+2+1 

1 2 2 10 (2-2)*1+10 10*2/2*1 

1 2 3 3 3*3+2-1 2^3+3-1 23-13 (3+3-1)*2

1 2 3 4 1+2+3+4 3*4-2*1 3^(4-2)+1

1 2 3 5 5*(3+1-2) 12+3-5 15-2-3 1*2+3+5 2*3+5-1

1 2 3 6 2*6+1-3 3*6/2+1 12/3+6

1 2 3 7 (3*7-1)/2 (3+7)*(2-1) (7-2)*(3-1) 2*7-3-1 (13+7)/2

1 2 3 8 3-2+1+8 (8-3)*2*1 

1 2 3 9 1^2*3+9 2sqr9*3+1 (9/3)^2+1 (3-2)*1+9 9-2+3*1

1 2 3 10 3-2-1+10 2*10/(3-1) 3*10/(2+1)

1 2 4 4 1*2+4+4 

1 2 4 5 4*5/2*1 2+4+5-1 (4-2)*5*1 

1 2 4 6 12+4-6 16-4-2 14+2-6 (4+6)*(2-1) (6-1)*(4-2) (16+4)/2

1 2 4 7 4+7+1-2 2*7-4*1 12/4+7

1 2 4 8 8+4-2*1 12-8/4

1 2 4 9 (9-4)*2*1 4-2-1+9

1 2 4 10 (10-4-1)*2 10/2+4+1 (4-2-1)*10

1 2 5 5 5+5*(2-1) (5-1)/2*5 25-15

1 2 5 6 5+6+1-2 (12/6)*5 (6/2-1)*5

1 2 5 7 5+7-2*1 12-7+5 17-2-5 15+2-7 7*2+1-5 

1 2 5 8 8/2+1+5 5+8-1-2 2*8-5-1

1 2 5 9 (9+1)/2+5 (2SQR9-1)*5

1 2 5 10 10/2+5*1 (10-5)*2*1

1 2 6 6 6+6-2*1 26-16

1 2 6 7 6+7-2-1 

1 2 6 8 12+6-8 16+2-8 18-2-6 2*8-6*1

1 2 6 9 (9-6)^2+1

1 2 6 10 10/2+6-1

1 2 7 7 27-17

1 2 7 8 8/2-1+7 2*8+1-7 72:8+1

1 2 7 9 12+7-9 17+2-9 19-2-7 2*9+1-7

1 2 7 10 (10-7)^2+1 

1 2 8 8 28-18

1 2 8 9 2*9-8*1

1 2 8 10 12+8-10 

1 2 9 9 29-19 (9+9)/2+1

1 2 9 10 2*10-9-1

1 2 10 10 2*10-10*1

1 3 3 3 1+3+3+3 33/3+1

1 3 3 4 3*4+1-3 

1 3 3 5 3+3+5-1 (3/3+1)*5

1 3 3 6 13+3-6 16-3-3 3^(6/3)+1

1 3 3 7 (7-3+1)nad3 (7nad3!)+3*1 (1^3)*3+7

1 3 3 8 3^(3SQR8)+1 8+3/3+1 (8-3)*(3-1)

1 3 3 9 (9/3)*3+1 3/3+9*1 13-9/3 (9+1)*3/3

1 3 3 10 (3-3)*1+10 10*3/3*1

1 3 4 4 4+4+1-3 

1 3 4 5 5*(4-3+1) 3*5-4-1 4*5/(3-1) (5-3)*(4+1)

1 3 4 6 3^(6-4)+1 (4+1)*(6/3)

1 3 4 7 13+4-7 14+3-7 17-4-3 

1 3 4 8 8-3+4+1

1 3 4 9 (9-4)*(3-1) 9-3+4*1 

1 3 4 10 10*(4-3)*1 4*10/(3+1) 10+4-3-1

1 3 5 5 (5-3)*5*1 15/3+5 3*5-5*1

1 3 5 6 (6/3)*1*5 (6-3-1)*5 3*5+1-6

1 3 5 7 5+7+1-3 3^(7-5)+1 

1 3 5 8 13+5-8 15+3-8 18-3-5 8-3+5*1

1 3 5 9 9+5-3-1 (9/3-1)*5

1 3 5 10 10*(5-3-1) (10-5)*(3-1)

1 3 6 6 6+6+1-3 (6/3)*(6-1) 

1 3 6 7 6+7-3*1 6/3+1+7 3*6-1-7

1 3 6 8 3*6-8*1 8+6-3-1 6/3+8+1 8/(3-1)+6

1 3 6 9 13+6-9 16+3-9 19-3-6 3*6+1-9 9/3+1+6 6:3-1+9

1 3 6 10 10*(6:3-1)

1 3 7 7 7+7-1-3

1 3 7 8 3SQR8+1+7 (8+1)/3+7

1 3 7 9 9/3+7*1 

1 3 7 10 13+7-10 (10-7)*3+1 3*7-1-10

1 3 8 8 8-3!+8*1 3SQR8+8*1

1 3 8 9 9/3-1+8

1 3 8 10 3^(10-8)+1 

1 3 9 9 log3(9)-1+9 

1 3 9 10 (log3(9)-1)*10

1 3 10 10 (3-1)*10-10 

1 4 4 4 44:4-1 

1 4 4 5 (4:4+1)*5

1 4 4 6 (1+4)*(6-4) 4*4-6*1

1 4 4 7 4*4+1-7 (1+4)nad(7-4)

1 4 4 8 8+4:4+1 14+4-8 18-4-4 

1 4 4 9 4-4+1+9 9+4:4*1

1 4 4 10 (4-4)*1+10 

1 4 5 5 5*(5-4+1) 45:5+1

1 4 5 6 (6-4)*5*1 6:(4-1)*5 

1 4 5 7 5*(7-4-1) (7-5)*(4+1)

1 4 5 8 (8-4+1+5 8:4*1*5

1 4 5 9 9-4+5*1 14+5-9 15+4-9 19-4-5 4*5-1-9 

1 4 5 10 10+5-1-4 4*5-10*1

1 4 6 6 (6-1)*(6-4) 6*6:4+1

1 4 6 7 7+6+1-4 

1 4 6 8 6+8-4*1 (6-1)*(8:4)

1 4 6 9 9+6-1-4 

1 4 6 10 10*(6-4-1) 14+6-10

1 4 7 7 7-4+7*1

1 4 7 8 8:4+1+7 14:7+8*1 8+7-1-4

1 4 7 9 (9-7)*(1+4)

1 4 7 10 10*1^(4+7)

1 4 8 8 8*1+8:4

1 4 8 9 9+8:4-1

1 4 8 10 10*(8:4-1) (1+4)*(10-8)

1 4 9 9 1^(4+9)+9

1 4 9 10 10*1^(4+9)

1 4 10 10 10*1^(4+10)

1 5 5 5 5*(5:5+1) 5*5-15 55:5-1

1 5 5 6 (6-5+1)*5 

1 5 5 7 (7-5)*5*1

1 5 5 8 (8-5-1)*5

1 5 5 9 9-5+1+5 

1 5 5 10 (5-5)*1+10 15+5-10

1 5 6 6 (6:6+1)*5

1 5 6 7 (7-5)*(6-1)

1 5 6 8 6-5+1+8 (8-6)*5*1

1 5 6 9 (9+1)*(6-5) 6+9-5*1 (9-6-1)*5

1 5 6 10 10+6-5-1

1 5 7 7 (7:7+1)*5 7-5+1+7 (7*7+1):5

1 5 7 8 7+8-5*1 (8-7+1)*5

1 5 7 9 (9-7)*5*1 7-5-1+9

1 5 7 10 10*(7-5-1) (10-7-1)*5

1 5 8 8 8-5-1+8 (8:8+1)*5

1 5 8 9 (9-8+1)*5 

1 5 8 10 (10-8)*5*1

1 6 6 6 66:6-1

1 6 6 7 NELZE

1 6 6 8 8+6:6+1

1 6 6 9 6-6+1+9 6:6+9*1 9*6:6+1

1 6 6 10 (6-6)*1+10

1 6 7 7 17-(7nad6)

1 6 7 8 8+7+1-6

1 6 7 9 9+1*(6-7)

1 6 7 10 10+7-6-1

1 6 8 8 8+8-6*1 16:8+8

1 6 8 9 9+8-6-1

1 6 8 10 10*(8-6-1)

1 6 9 9 6!:(9*(9-1))

1 6 9 10 1^(6*9)*10

1 6 10 10 10*1^(6*10)

1 7 7 7 77:7-1

1 7 7 8 7:7+1+8

1 7 7 9 7-7+1+9

1 7 7 10 (7-7)*1+10

1 7 8 8 8+8+1-7

1 7 8 9 (8-7)*1+9

1 7 8 10 10*7+1-8

1 7 9 9 9+9-7-1

1 7 9 10 10*(9-7-1)

1 7 10 10 1^(7*10)*10

1 8 8 8 8+8:8+1 88:8-1

1 8 8 9 9+8:8*1 9-8+8+1 18:9+8

1 8 8 10 (8-8)*1+10 8:8*1*10

1 8 9 9 9:(8+1)+9 9:9+1+8

1 8 9 10 10+9-8-1

1 8 10 10 10:10+1+8 (10-8-1)*10

1 9 9 9 99:9-1 9:9*1+9 1+9-9+9

1 9 9 10 (9-9)*1+10 9*10:9*1

1 9 10 10 10+10-9-1 10:10*1+9

1 10 10 10 1*10-10+10

2 2 2 2 (22-2):2 2*2*2+2

2 2 2 3 3^2+2:2 32-22 3*2+2+2

2 2 2 4 2+2+2+4 24:2-2 2*(4+2:2)

2 2 2 5 2:2*2*5 5*2+2-2 (2SQR25)*2

2 2 2 6 (6:2+2)*5 (6-2)*2+2

2 2 2 7 7+2+2:2 

2 2 2 8 8+2+2-2 8*2:2+2 

2 2 2 9 (2SQR9+2)*2 9+2-2:2

2 2 2 10 (2-2)*2+10 22-2-10

2 2 3 3 2+2+3+3 3^2+3-2 (32-2):3 (23-3):2 3*3+2:2

2 2 3 4 42-32 24:3+2 

2 2 3 5 (3-2)*2*5

2 2 3 6 32:2-6 26:2-3 (3*6+2):2

2 2 3 7 3+7+2-2 (3+7)*2:2 

2 2 3 8 (8+2)*(3-2) 8+3-2:2 (28+2):3

2 2 3 9 2+2-3+9

2 2 3 10 (2-2)*3+10 (2+2-3)*10

2 2 4 4 4*4:2+2 (24-4):2 (42-2):4

2 2 4 5 52-42 2:2+4+5

2 2 4 6 (4+6)*2:2 2*6+2-4

2 2 4 7 4+7-2:2 (7-4+2)*2

2 2 4 8 (8-4)*2+2 28:2-4 (4!:2+8):2

2 2 4 9 (2SQR9)*4-2

2 2 4 10 (2-2)*4+10 4*10:(2+2)

2 2 5 5 (25-5):2 2-2+5+5 (2SQR25)+5

2 2 5 6 5+6-2:2 6:2+2+5 62-52

2 2 5 7 22-5-7 

2 2 5 8 8:(2+2)*5 (8-5+2)*2

2 2 5 9 9-2-2+5 (2SQR9)+2+5 (9-5)*2+2

2 2 5 10 (2-2)*5+10 2*10-2*5 (10+2*5):2

2 2 6 6 (26-6):2 (62-2):6 

2 2 6 7 72-62 7*2+2-6

2 2 6 8 8+6-2-2 

2 2 6 9 2*9-2-6 9-2+6:3

2 2 6 10 (2-2)*6+10

2 2 7 7 7+7-2-2 (27-7):2 (72-2):7

2 2 7 8 82-72 

2 2 7 9 ((7*2-2)nad9) 9+7^(2-2) 72:9+2

2 2 7 10 (2-2)*7+10

2 2 8 8 (28-8):2 (82-2):8 2*8+2-8 

2 2 8 9 (8-(2SQR9))*2 92-82 

2 2 8 10 (2-2)*8+10 2*10-2-8

2 2 9 9 (29-9):2 (92-2):9 (9+9+2):2

2 2 9 10 (2-2)*9+10 102-92 (2SQR9-2)*10 2*9+2-10

2 2 10 10 (2-2)*10+10 10:2+10:2 (102-2):10

2 3 3 3 3*3+3-2 33-23 3^2+3:3

2 3 3 4 2*(4+3:3) 3^2+4-3

2 3 3 5 5*2*3:3 3*5-2-3 2*5+3-3 (5-3)^3+2

2 3 3 6 3*6-2^3 3+3+6-2 2^3+6:3 36:3-2

2 3 3 7 (3+7)*(3-2) 7+2+3:3 (3^3-7):2

2 3 3 8 8+2+3-3 3:3*(8+2)

2 3 3 9 2-3:3+9 

2 3 3 10 (3-3)*2+10 23-3-10

2 3 4 4 34-24 3^2+4:4 4*3-4:2 

2 3 4 5 3-2+4+5 3^2+5-4 2*5*(4-3)

2 3 4 6 (4+6)*(3-2) 2*4+6:3 3*6-2*4 6*4:3+2

2 3 4 7 4-3+2+7

2 3 4 8 (4-3)*2+8 3SQR8+2*4 (3*8-4):2

2 3 4 9 2+3-4+9 2SQR49+3

2 3 4 10 (2+3-4)*10 

2 3 5 5 35-25 (5+5)*(3-2) 3^2+5:5 

2 3 5 6 3^2+6-5 5+6+2-3 6-3!+5*2

2 3 5 7 (7-3):2+5 3*5+2-7

2 3 5 8 8-3nad2+5

2 3 5 9 2*9-3-5 

2 3 5 10 10+2+3-5 

2 3 6 6 6*3-2-6 2+6:3+6 36-26  

2 3 6 7 (7-2)*6:3

2 3 6 8 3SQR8+2+6 36:2-8

2 3 6 9 9+6-3-2 2*3:6+9

2 3 6 10 10+6-2*3 ((10*3):6)*2

2 3 7 7 3^2+7:7 37-27 3SQR27+7

2 3 7 8 7+8-2-3 

2 3 7 9 (2+3)*(9-7) (9-7+3)*2 (9*3-7):2

2 3 7 10 2*10-3-7

2 3 8 8 3^2+8:8 38-28

2 3 8 9 (3+8+9):2 2*8+3-9

2 3 8 10 (10-8+3)*2

2 3 9 9 3^2+9:9

2 3 9 10 10+9-3^2 (9:3-2)*10 2SQR9:3*10

2 3 10 10 3*10-2*10 3^2+10:10

2 4 4 4 (4*4+4):2 24:4+4

2 4 4 5 2*5*4:4

2 4 4 6 (6-4)*4+2 

2 4 4 7 2+4:4+7 ((4+4)nad7)+2

2 4 4 8 2*4:4+8 2+8+4-4 (2+8)*4:4 48:4-2

2 4 4 9 (9-4)*(4-2) 9+2-4:4 2SQR(4*9)+4

2 4 4 10 (2-4:4)*10 (4-4)*2+10 24-4-10

2 4 5 5 2*5*(5-4) 2*(4+5:5)

2 4 5 6 (6+4-5)*2 (2*4-6)*5 

2 4 5 7 2*4+7-5 2+5+7-4

2 4 5 8 5*4-2-8 (2+8)*(5-4) (48+2):5

2 4 5 9 9+2+4-5 

2 4 5 10 10*(2+4-5) 4*10:5+2 25*4:10

2 4 6 6 24:6+6 6+6+2-4 (4+6:6)*2

2 4 6 7 (7-2)*(6-4) (6*7-2):4

2 4 6 8 2*4+8-6 (8^2-4):6 6*8:4-2

2 4 6 9 (6-4):2+9

2 4 6 10 2*10-4-6 10+6-4-2 (4+6+10):2

2 4 7 7 (4+7:7)*2 24-7-7

2 4 7 8 24:8+7 (8-7+4)*2 (4*7-8):2

2 4 7 9 7+9-2-4 (7+9+4):2

2 4 7 10 (7-4-2)*10

2 4 8 8 2*(4+8:8) (8-4):2+8 8+8-2-4

2 4 8 9 2*4:8+9 

2 4 8 10 10+2*4-8

2 4 9 9 2*(4+9:9)

2 4 9 10 10*(9-2*4) (4-2SQR9)*10 9-4+10:2

2 4 10 10 (10+10):(4-2) 2*(4+10:10) 4*10:2-10

2 5 5 5 2*5*5:5 (5*5-5):2 2*5+5-5

2 5 5 6 2*5*(6-1) 5*6:2-5

2 5 5 7 2+5:5+7

2 5 5 8 2+5-5+8 5*8:5+2

2 5 5 9 5*(9-5):2 2+9-5:5

2 5 5 10 2*(5-5)+10 2*(5+5)-10 (5+5+10):2 25-5-10

2 5 6 6 (6:6)*2*5 6:(6:2)*5

2 5 6 7 2*5*(7-6) 56:7+2

2 5 6 8 (6*8+2):5 (2+8)*(6-5) (58+2):6

2 5 6 9 2+5-6+9 25-6-9 5^2-6-9

2 5 6 10 (2-(6-5))*10 5*6-2*10 6*10:5-2

2 5 7 7 2*5*7:7 (7-2)*(7-5) 

2 5 7 8 2*5*(8-7) 5^2-7-8 25-7-8 (5+7+8):2

2 5 7 9 (7-5):2+9

2 5 7 10 10+5+2-7 10*5:(7-2)

2 5 8 8 2*5*8:8 2*5+8-8

2 5 8 9 2*5*(9-8) 8+9-2-5

2 5 8 10 5*8:2-10 

2 5 9 9 2*5*9:9 2*5+9-9

2 5 9 10 (2*5-9)*10 2*5*(10-9)  

2 5 10 10 2*5*10:10

2 6 6 6 2*(6-6:6)

2 6 6 7 2+6:6+7

2 6 6 8 2+6+6-8 6*6:2-8

2 6 6 9 2+9-6:6

2 6 6 10 2*(6-6)+10 26-6-10 

2 6 7 7 2*(6-7:7) 7+7+2-6

2 6 7 8 2*(6+7-8) (2+8)*(7-6)

2 6 7 9 2*6+7-9 9*2:6+7 2+9+6-7

2 6 7 10 (2+6-7)*10 

2 6 8 8 2*(6-8:8) (6:2)SQR8+8 2SQR(8+8)-6

2 6 8 9 (8-6):2+9 (8+6-9)*2 9*8:6-2

2 6 8 10 2+6-8+10 10*(2+6):8 10*(8-6):2

2 6 9 9 9-6-2+9

2 6 9 10 10*(9-6-2)

2 6 10 10 2*(6-10:10) (6-10:2)*10

2 7 7 7 2+7:7+7

2 7 7 8 (8+2)*7:7 2+8+7-7

2 7 7 9 27:9+7 2+9-7:7

2 7 7 10 2*(7-7)+10 27-7-10  

2 7 8 8 2+7+8:8 (2+8)*(8-7)

2 7 8 9 2+7+9-8 

2 7 8 10 10*(2+7-8)

2 7 9 9 2+7+9:9

2 7 9 10 2+7-9+10

2 7 10 10 10*(10-2-7) 2+7+10:10

2 8 8 8 2+8+8-8 (2+8)*8:8

2 8 8 9 (2+8)*(9-8) 2+9-8:8

2 8 8 10 28-8-10 (2-8:8)*10 2*(8-8)+10

2 8 9 9 2+8+9-9 (2+8)*9:9 

2 8 9 10 (2+8)*(10-9)

2 8 10 10 2+8+10-10

2 9 9 9 2+9-9:9 

2 9 9 10 2+9+9-10 29-9-10 2*(9-9)+10

2 9 10 10 2+9-10:10

2 10 10 10 2*(10-10)+10 

3 3 3 3 (33-3):3 3*3+3:3 (3^3+3):3

3 3 3 4 3*3+4-3 43-33

3 3 3 5 (3-3:3)*5

3 3 3 6 3:3+3+6

3 3 3 7 3-3+3+7

3 3 3 8 3+8-3:3

3 3 3 9 39:3-3 (3*9+3):3

3 3 3 10 (3-3)*3+10

3 3 4 4 (34-4):3 (43-3):4 4*4-3-3 3*3+4:4

3 3 4 5 3:3+4+5 53-43 3*4+3-5

3 3 4 6 3-3+4+6 3:3*(4+6)

3 3 4 7 4+7-3:3

3 3 4 8 3+8+3-4 3*4-3SQR8

3 3 4 9 3+4+9:3

3 3 4 10 (3-3)*4+10

3 3 5 5 3*3+5:5 3+5+5-3 (5+5)*3:3 (53-3):5 (35-5):3 35:5-3

3 3 5 6 3*3+6-5 63-53 5+6-3:3

3 3 5 7 (3*3-7)*5 

3 3 5 8 (8-3)*(5-3) 3*5+3-8

3 3 5 9 (9-3):3*5

3 3 5 10 (3-3)*5+10

3 3 6 6 (36-6):3 (63-3):6 3*3-6:6

3 3 6 7 73-63 3*3+7-6 6-3!+3+7

3 3 6 8 (8-3)*6:3

3 3 6 9 (3+3):6+9 

3 3 6 10 (3-3)*6+10 6*10:(3+3)

3 3 7 7 (73-3):7 (37-7):3 3*3+7:7

3 3 7 8 3*3+8-7 83-73

3 3 7 9 (3*7+9):3

3 3 7 10 (3-3)*7 +10 10*(7-3-3) 3^3-7-10

3 3 8 8 (38-8):3 (83-3):8 8+8-3-3 3*3-8:8

3 3 8 9 93-83 9+3-3SQR8 3+3+9-8

3 3 8 10 10*(3*3-8) (3-3)*8+10 

3 3 9 9 (39-9):3 (93-3):9 3*3+9:9

3 3 9 10 103-93 9-3*3+10 9:3:3*10

3 3 10 10 (103-3):10 3*3+10:10 10*(3-3)+10

3 4 4 4 44-34 

3 4 4 5 (3-4:4)*5

3 4 4 6 (6+4)*(4-3) 4+4+6:3

3 4 4 7 3+7+4-4 (3+7)*4:4

3 4 4 8 3*4-8:4 3+8-4:4 3SQR(4+4)+8

3 4 4 9 (4nad3):4+9 

3 4 4 10 3*(4-4)+10

3 4 5 5 (4-3)*(5+5) 5*4:(5-3) 4:(5-3)*5 (4+3-5)*5 45:3-5 45-35

3 4 5 6 5+6+3-4 

3 4 5 7 (3+7)*(5-4) 4*5-3-7

3 4 5 8 3+4-5+8 (5+3):4+8 8:4+3+5

3 4 5 9 3*5+4-9 (9-4-3)*5

3 4 5 10 3*10-4*5 (10-4)*5:3 10:5*3+4

3 4 6 6 46-36 

3 4 6 7 4*7-3*6

3 4 6 8 3*4+6-8 (8-3)*(6-4) 3*4:6+8

3 4 6 9 (9-4)*6:3

3 4 6 10 (3+4-6)*10

3 4 7 7 47-37 

3 4 7 8 (8+4-7)nad3

3 4 7 9 (3+4):7+9 (7-4):3+9 49:7+3

3 4 7 10 3+4-7+10 7:(3+4)*10

3 4 8 8 48-38 

3 4 8 9 3-8:4+9 9+8-4-3

3 4 8 10 (3-8:4)*10 3*4+8-10 (10-4):3+8 10*(8-4-3)

3 4 9 9 49-39 

3 4 9 10 (4-9:3)*10

3 4 10 10 4*10-3*10

3 5 5 5 (3-5:5)*5 5*5-3*5

3 5 5 6 (3+5-6)*5 3+6+5:5

3 5 5 7 (5*7-5):3 3+7+5-5 (3+7)*5:5 35:7+5

3 5 5 8 3+8-5:5

3 5 5 9 (5-9:3)*5

3 5 5 10 10+(5-5)*3 3*5+5-10

3 5 6 6 6+6+3-5 (3-6:6)*5

3 5 6 7 (3+7)*(6-5) (3+6-7)*5 3*7-5-6

3 5 6 8 8:(5-3)+4 3+8+5-6 56:8+3

3 5 6 9 (6*3:9)*5 

3 5 6 10 10*3:6+5

3 5 7 7 (3-7:7)*5 

3 5 7 8 (8-3)*(7-5) (3+7-8)*5 

3 5 7 9 57:3-9 3+5-7+9 

3 5 7 10 (3+5-7)*10 (7-3)*5-10 

3 5 8 8 (3-8:8)*5 

3 5 8 9 (3+8-9)*5

3 5 8 10 3+5-8+10 10:(3SQR8)+5

3 5 9 9 (3-9:9)*5

3 5 9 10 (9-5-3)*10

3 5 10 10 (5-3)*10-10 (3-10:5)*10 (10+10):(5-3) 

3 6 6 6 3+6+6:6 (6*6-6):3

3 6 6 7 (3+7)*6:6 3+6+7-6

3 6 6 8 3+8-6:6 6*8:3-6

3 6 6 9 36:9+6 

3 6 6 10 3*(6-6)+10

3 6 7 7 3+6+7:7 

3 6 7 8 8+6+3-7

3 6 7 9 (6:3)SQR9+7 9:(6-3)+7

3 6 7 10 (3!-6)*7+10 

3 6 8 8 3+6+8:8 

3 6 8 9 3+6+9-8 3*6:9+8

3 6 8 10 (3+6-8)*10

3 6 9 9 3+6+9:9

3 6 9 10 3+6-9+10

3 6 10 10 3+6+10:10 (10-3-6)*10

3 7 7 7 3+7+7-7 (3+7)*7:7 7*7:7+3

3 7 7 8 (3+7)*(8-7)

3 7 7 9 3^(7-7)+9

3 7 7 10 3*(7-7)+10

3 7 8 8 (3+7)*8:8 3+7+8-8

3 7 8 9 (3+7)*(9-8) (3SQR8)SQR9+7

3 7 8 10 (8-3)nad(10-7)

3 7 9 9 (3+7)*9:9 3+7+9-9 

3 7 9 10 3*9-7-10 (3+7)*(10-9)

3 7 10 10 3+7+10-10 (3+7)*10:10

3 8 8 8 3+8-8:8

3 8 8 9 3+8+8-9

3 8 8 10 3*(8-8)+10 (8-3)*(10-8)

3 8 9 9 3+8-9:9

3 8 9 10 3+8+9-10

3 8 10 10 3+8-10:10

3 9 9 9 3^(9-9)+9

3 9 9 10 3*(9-9)+10

3 9 10 10 (log9přizákladu3)*10-10

3 10 10 10 3*(10-10)+10

4 4 4 4 (44-4):4 

4 4 4 5 4:4+4+5 54-44

4 4 4 6 4+4-4+6 

4 4 4 7 4+7-4:4

4 4 4 8 4+4+8:4

4 4 4 9 (4*9+4):4

4 4 4 10 (4-4)*4+10 4*4+4-10

4 4 5 5 (45-5):4 (54-4):5 5+5+4-4

4 4 5 6 4*5-4-6 5+6-4:4 (4+6)*(5-4) (44+6):5

4 4 5 7 4+7+4-5 

4 4 5 8 (4-8:4)*5 4*4*5:8

4 4 5 9 5^(4-4)+9 

4 4 5 10 5*(4-4)+10

4 4 6 6 (46-6):4 (64-4):6 (6*6+4):4

4 4 6 7 74-64 

4 4 6 8 4+4+8-6 

4 4 6 9 (6-4)*(9-5)

4 4 6 10 6*(4-4)+10

4 4 7 7 (47-7):4 (74-4):7 

4 4 7 8 84-74 

4 4 7 9 4+4-7+9 

4 4 7 10 7*(4-4)+10 

4 4 8 8 (48-8):4 (84-4) 4+8-8:4 4*4:8+8

4 4 8 9 (9-4)*(8:4) 8:(4+4)+9

4 4 8 10 8*(4-4)+10 8*10:(4+4) 4*10:(8-4) 4+4+10-8

4 4 9 9 (49-9):4 (94-4):9 9+9-4-4

4 4 9 10 9*(4-4)+10 (9-4-4)*10

4 4 10 10 10*(4-4)+10 (104-4):10

4 5 5 5 4+5+5:5 (45+5):5 55-45 4*5-5-5

4 5 5 6 4+6+5-5 5*6:5+4 (4+6)*5:5 

4 5 5 7 4+4-5:5 

4 5 5 8 (5nad4)nad(8-5)

4 5 5 9 45:9+5

4 5 5 10 4*(5-5)+10 

4 5 6 6 (4+6)*(6-5) 56-46 4+5-6:6

4 5 6 7 4+7+5-6 

4 5 6 8 (8+4):6*5 5nad(6*4:8)

4 5 6 9 (9*6-4):5

4 5 6 10 (6-4)*(10-5) 4*10-5*6

4 5 7 7 57-47 4+5+7:7 (5+7):4+3 

4 5 7 8 4+5+7-8 5+7-8:4

4 5 7 9 4*5:(9-7)

4 5 7 10 7*10:5-4

4 5 8 8 58-48 4+5+8:8 8:(8-4)*5

4 5 8 9 4+5+8-9 

4 5 8 10 (4+5-8)*10 (10-5)*8:4

4 5 9 9 59-49 4+5+9:9

4 5 9 10 4+5-9+10

4 5 10 10 (10-4-5)*10 5+10-4*10

4 6 6 6 4+6+6-6 (4+6)*6:6 6*4-6-6

4 6 6 7 (4+6)*(7-6)

4 6 6 8 6+6-8:4

4 6 6 9 (9+6)*4:6

4 6 6 10 4*(6-6)+10 

4 6 7 7 (4+6)*7:7 4+6+7-7 6*4-7-7

4 6 7 8 (4+6)*(8-7) 4*6:8+7 

4 6 7 9 (9nad7):6+4 

4 6 7 10 ((7-6)^4)*10 4nad(10-7)+6

4 6 8 8 4+6+8-8 8*8:4-6 4:(8-6)+8 (4+6)*8:8

4 6 8 9 (4+6)*(9-8)

4 6 8 10 (4!:8)!-6+10 4^(10-8)-6

4 6 9 9 4+6+9-9 (4+6)*10:10

4 6 9 10 (4+6-9)*10 

4 6 10 10 4+6+10-10 (4+6)*10:10 

4 7 7 7 4+7-7:7 

4 7 7 8 4+7+7-8 

4 7 7 9 (9-7)*7-4 (7*7-9):4

4 7 7 10 4*(7-7)+10

4 7 8 8 4+7-8:8

4 7 8 9 4+7+8-9 (8:4)SQR9+8

4 7 8 10 (8-7)^4*10

4 7 9 9 4+7-9:9

4 7 9 10 4+7+9-10

4 7 10 10 4+7-10:10

4 8 8 8 8:(8-4)+8 

4 8 8 9 4^(8-8)+9 

4 8 8 10 4*(8-8)+10

4 8 9 9 (9-8)^4+9

4 8 9 10 (9-8)^4*10

4 8 10 10 10*8:4-10

4 9 9 9 4^(9-9)+9

4 9 9 10 4*(9-9)+10

4 9 10 10 4^(10-10)+9

4 10 10 10 4*(10-10)+10

5 5 5 5 5+5+5-5 (55-5):5 5+5:5+5 

5 5 5 6 (5+5)*(6-5) 65-55 (55+5):6

5 5 5 7 75:5-5 

5 5 5 8 (5+5-8)*5

5 5 5 9 (9*5+5):5

5 5 5 10 5*(5-5)+10

5 5 6 6 (56-6):5 (65-5):6 5+5+6-6 (5+5)*6:6 

5 5 6 7 (5+5)*(7-6) 75-65

5 5 6 8 5*6:(8-5) 5*8-5*6

5 5 6 9 (5+6-9)*5 

5 5 6 10 6*(5-5)+10 

5 5 7 7 (57-7):5 (75-5):7 (5+5)*7:7 5+5+7-7

5 5 7 8 (5+5)*(8-7) 85-75 5*5-7-8

5 5 7 9 5*9-5*7

5 5 7 10 (10-5)*(7-5) 7*(5-5)+10

5 5 8 8 (58-8):5 (85-5):8 5+5+8-8 (5+5)*8:8

5 5 8 9 (5+5)*(9-8) 95-85

5 5 8 10 8*(5-5)+10 

5 5 9 9 (59-9):5 (95-5):9 5+5+9-9 (5+5)*9:9

5 5 9 10 9*(5-5)+10

5 5 10 10 (5-5)*10+10 5+5+10-10 (10-5)*(10:2) (105-5):10 

5 6 6 6 65-55 5+6-6:6 (6+6):6*5 

5 6 6 7 5+6+6-7 

5 6 6 8 5nad(6:(8-6)) 

5 6 6 9 6:(9-6)*5

5 6 6 10 5*(6-6)+10 6+6-10:5

5 6 7 7 67-57 5+6-7:7 

5 6 7 8 5+6+7-8 (7*8-6):5

5 6 7 9 5nad(6:(9-7)) (7-6)^5+9

5 6 7 10 5*6:10+7 6:(10-7)*5

5 6 8 8 58-58 5+6-8:8 5*(6SQR(8*8)

5 6 8 9 5+6+8-9

5 6 8 10 10:(8-6)+5 5*8:10+6

5 6 9 9 69-59 5+6-9:9 

5 6 9 10 5+6+9-10 9*10:6-5

5 6 10 10 5+6-10:10 6*10-5*10 5*6-10-10

5 7 7 7 (7+7):7*5 

5 7 7 8 8nad7+7-5 

5 7 7 9 5+7+7-9 

5 7 7 10 5*(7-7)+10

5 7 8 8 NEJDE

5 7 8 9 (8-7)^5+9 

5 7 8 10 5+7+8-10

5 7 9 9 5nad((9-7)SQR9)

5 7 9 10 (10-5)*(9-7) 10:(9-7)+5

5 7 10 10 10*(7-5)-10 

5 8 8 8 (8+8):8*5 (8-5)SQR8+8  

5 8 8 9 8:(9-5)+8

5 8 8 10 5*(8-8)+10

5 8 9 9 (9-8)^5+9

5 8 9 10 (9-8)^5*10

5 9 9 9 (9+9):9*5

5 9 9 10 5*(9-9)+10

5 9 10 10 (10-9)^5*10

5 10 10 10 5*(10-10)+10 (10+10):10*5

6 6 6 6 (66-6):6

6 6 6 7 76-66

6 6 6 8 6+6+6-8

6 6 6 9 6*6:9+6 (6*9+6):5

6 6 6 10 6*(6-6)+10

6 6 7 7 (67-7):6 (76-6):7 

6 6 7 8 86-76 6:(8-6)+7

6 6 7 9 6+6+7-9 

6 6 7 10 7*(6-6)+10

6 6 8 8 (68-8):6 (86-6):8 6+8:(8-6)

6 6 8 9 96-86

6 6 8 10 6+6+8-10 8*(6-6)+10

6 6 9 9 (69-9):6 (96-6):9 

6 6 9 10 9*(6-6)+10 

6 6 10 10 (106-6):10

6 7 7 7 77-67

6 7 7 8 NEJDE

6 7 7 9 6:(9-7)+7 6^(7-7)+9 

6 7 7 10 6*(7-7)+10 6+7+7-10

6 7 8 8 78-68 

6 7 8 9 6+8:(9-7) (8-6)SQR9+7

6 7 8 10 6:(10-8)+7

6 7 9 9 79-69 9:(9-6)+7

6 7 9 10 10nad9*(7-6) (6-7)^9*10

6 7 10 10 7*10-6*10

6 8 8 8 6SQR(8*8)+8

6 8 8 9 6^(8-8)+9 (9-6)SQR8+8

6 8 8 10 6*(8-8)+10

6 8 9 9 (9-8)^6+9 

6 8 9 10 (9-8)^6*10

6 8 10 10 10*(8-6)-10

6 9 9 9 6^(9-9)+9

6 9 9 10 6*(9-9)*10

6 9 10 10 6^(10-10)+9 

6 10 10 10 6*(10-10)+10

7 7 7 7 (77-7):7 

7 7 7 8 87-77

7 7 7 9 (7*9+7):7  

7 7 7 10 7*(7-7)+10

7 7 8 8 (78-8):7 (87-7):8 

7 7 8 9 97-87

7 7 8 10 8*(7-7)+10 

7 7 9 9 (79-9):7 (97-7):9 (9-7)SQR9+7

7 7 9 10 9*(7-7)+10

7 7 10 10 10*(7-7)+10 (107-7):10

7 8 8 8 88-87

7 8 8 9 7^(8-8)+9 

7 8 8 10 7*(8-8)+10

7 8 9 9 89-79

7 8 9 10 (9-8)^7*10 (10-8)SQR9+7

7 8 10 10 8*10-7*10

7 9 9 9 7^(9-9)+9

7 9 9 10 7*(9-9)+10

7 9 10 10 (10-9)^7*10

7 10 10 10 7*(10-10) +10

8 8 8 8 (88-8):8

8 8 8 9 98-88 (9*8+8):8

8 8 8 10 8*(8-8)+10

8 8 9 9 (89-9):8 (98-8):9 

8 8 9 10 9*(8-8)+10

8 8 10 10 (108-8):10

8 9 9 9 99-89

8 9 9 10 8*(9-9)+10

8 9 10 10 9*10-8*10

8 10 10 10 8*(10-10)+10

9 9 9 9 (99-9):9

9 9 9 10 9*(9-9)+10

9 9 10 10 10*(9-9)+10 (109-9):10

9 10 10 10 9*(10-10)+10

10 10 10 10 10*(10-10)+10

HOTOVO!!!!