secundaria2 b1 operaciones con numeros con signo2
TRANSCRIPT
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Operaciones con nmeros con signo
Subtema: Adicin de Nmeros con signo
Nombre:________________________________________________________________________
1.- 18 + 32 + ( -32 ) + 9 + 37 =
2.- ( -28 ) + 13 + 40 + ( -23 ) + ( -47 ) =
3.- ( -13 ) + ( -31 ) + ( -22 ) + 27 + ( -50 ) =
4.- ( -44 ) + 25 + ( -28 ) + ( -16 ) + ( -17 ) =
5.- ( -45 ) + 10 + ( -20 ) + ( -4 ) + 11 =
6.- 43 + ( -19 ) + ( -28 ) + ( -9 ) + ( -25 ) =
7.- ( -32 ) + 3 + ( -24 ) + ( -44 ) + ( -50 ) =
8.- 6 + ( -40 ) + ( -32 ) + ( -41 ) + 48 =
9.- ( -38 ) + 17 + 22 + ( -22 ) + 19 =
10.- 19.3 + 16.5 + ( -33 ) + ( -4 ) + ( -3.3 ) =
11.- 6 + ( -12.2 ) + 41 + 18.9 + 21 =
12.- 4.3 + ( -28 ) + ( -0.6 ) + 30 + ( -9.6 ) =
13.- 1.8 + 9.9 + 29 + 6 + ( -4.6 ) =
14.- 4 + ( -9.2 ) + ( -45 ) + 14.6 + ( -9 ) =15.- 10.0 + 0 + ( -1.5 ) + ( -26 ) + ( -6.7 ) =
16.- 15.5 + 5.9 + 45 + ( -46 ) + ( -17.0 ) =
17.- ( -4 ) + ( -11.0 ) + ( -15 ) + 4.5 + ( -45 ) =
18.- 7.6 + ( -8 ) + ( -14.0 ) + 33 + ( -7.2 ) =
19.- 8.7 + 17.6 + 41 + 48 + ( -3.5 ) =
20.- 13 + ( -10.6 ) + ( -12 ) + 7.1 + 27 =
21.- 2/4 + 1/4 + ( - 2/4 ) + 1 3/4 + ( - 1/4 ) =
22.- ( - 2/4 ) + 0 + 3/4 + 4 + ( -1 1/4 ) =
23.- 5 + 1/4 + ( -9 ) + ( - 2/4 ) + 1/4 =
24.- ( - 2/4 ) + 9 + 1/4 + 1/4 + ( - 1/4 ) =25.- 2/4 + ( - 3/4 ) + 2/4 + ( - 2/4 ) + ( - 2/4 ) =
26.- ( -1 ) + 2/4 + ( - 2/4 ) + ( - 2/4 ) + 4 =
27.- ( -1 ) + ( - 2/4 ) + 2/4 + ( - 2/4 ) + 1/4 =
28.- 2/4 + 9 + ( - 2/4 ) + ( -4 ) + ( - 2/4 ) =
29.- ( - 1/4 ) + 1 + ( -1 ) + ( - 1/4 ) + 2/4 =
30.- ( - 1/4 ) + ( -7 ) + ( - 2/4 ) + 0 + 2/4 =
31.- ( -43 ) + 27 + 13 + ( -37 ) + 43 =
32.- 45 + 45 + ( -7 ) + ( -20 ) + ( -21 ) =
33.- 40 + 21 + ( -14 ) + ( -22 ) + ( -27 ) =
34.- ( -18 ) + ( -2 ) + 15 + 1 + ( -23 ) =35.- ( -22 ) + ( -16 ) + 25 + 5 + ( -7 ) =
1
2
3
4
5
11 ) 74.7 16 ) 32 2/4 31 )
-45 -147 12 ) -3.88 17 ) -70.53
3.37 21 ) 1 3/4 26 )64 -38
-89 -59 13 ) 42.03 18 ) 11.51 23 )
22 ) 3 27 ) -1 1/4 32 ) 42
-4 28 ) 4 1/4 33 ) 35
-74-80 -2 14 ) -44.7 19 ) 111.80 24 ) 8 3/4
-48 10 -4.417687 15 ) -24.2 -65
6
7
8
9
24.51 25 ) - 3/4 30 ) -7 1/4 35 )20 )
29 ) -0 34 )
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Operaciones con nmeros con signo
Subtema: Sustraccin de Nmeros con signo
Nombre:________________________________________________________________________
1.- 43 - 44 - 2 - 23 - ( -22 ) =
2.- 13 - ( -43 ) - 38 - ( -38 ) - ( -2 ) =
3.- 37 - 32 - ( -30 ) - 45 - 34 =
4.- ( -49 ) - 38 - 45 - ( -16 ) - 35 =5.- ( -5 ) - ( -23 ) - ( -1 ) - ( -26 ) - 29 =
6.- ( -46 ) - 50 - 3 - 48 - 35 =
7.- ( -18 ) - ( -25 ) - 16 - ( -7 ) - ( -15 ) =
8.- ( -2 ) - ( -46 ) - ( -46 ) - ( -13 ) - 49 =
9.- 48 - ( -13 ) - ( -32 ) - ( -19 ) - 30 =
10.- 2.1 - 7.5 - 21 - ( -24 ) - ( -12.9 ) =
11.- 34 - ( -11.5 ) - ( -22 ) - 18.7 - ( -46 ) =
12.- 7.3 - ( -33 ) - ( -8.5 ) - 31 - ( -16.2 ) =
13.- 11.2 - 7.7 - ( -37 ) - 18 - ( -11.7 ) =
14.- ( -27 ) - ( -15.5 ) - 16 - 19.8 - ( -48 ) =15.- 10.6 - 8 - ( -5.5 ) - ( -39 ) - ( -18.8 ) =
16.- 16.8 - 19.5 - 22 - ( -23 ) - ( -5.6 ) =
17.- 10 - ( -13.7 ) - ( -3 ) - 18.8 - ( -50 ) =
18.- 9.9 - 38 - ( -16.8 ) - 5 - ( -19.3 ) =
19.- 2.5 - 0.9 - ( -23 ) - ( -23 ) - ( -5.1 ) =
20.- 11 - ( -2.1 ) - 20 - 2.5 - ( -21 ) =
21.- ( - 1/4 ) - ( - 1/4 ) - ( - 2/4 ) - 2 3/4 - ( - 2/4 ) =
22.- 3/4 - 6 - 2/4 - ( -5 ) - ( - 1/4 ) =
23.- ( -4 ) - 2/4 - 1 - 1/4 - ( -1 ) =
24.- ( - 2/4 ) - ( -2 ) - ( - 3/4 ) - ( - 1/4 ) - ( - 2/4 ) =25.- ( -1 2/4 ) - 1 2/4 - 2/4 - 2/4 - 1 =
26.- ( - 2/4 ) - ( - 2/4 ) - ( - 3/4 ) - 3/4 - 8 =
27.- ( -1 ) - ( - 2/4 ) - ( -3 ) - 2/4 - 2/4 =
28.- ( - 1/4 ) - 3 - ( - 1/4 ) - ( -6 ) - ( - 2/4 ) =
29.- 1 1/4 - 1 3/4 - ( - 2/4 ) - 2/4 - ( - 2/4 ) =
30.- ( - 3/4 ) - ( -8 ) - 3/4 - 0 - ( - 2/4 ) =
31.- 3 - ( -13 ) - 3 - 13 - ( -18 ) =
32.- 5 - ( -5 ) - 25 - ( -3 ) - 24 =
33.- 33 - ( -22 ) - ( -21 ) - 21 - ( -40 ) =
34.- 45 - ( -44 ) - 48 - ( -27 ) - 23 =35.- ( -31 ) - ( -15 ) - ( -11 ) - 38 - ( -49 ) =
1 )
2 )
3 )
4 )
5 )
11 ) 94.8 16 ) 18-8 31 )
58 13 12 ) 34.1 17 ) 57.91
3.86 21 ) -1 3/4 26 )-4 -182
-44 54 13 ) 34.2 18 ) 2.98 23 )
22 ) - 2/4 27 ) 1 2/4 32 ) -36
-4 3/4 28 ) 3 2/4 33 ) 117
47-151 82 14 ) 0.7 19 ) 52.71 24 ) 3
16 10 ) 10.5 15 ) 65.9 -28
6 )
7 )
8 )
9 )
11.61 25 ) -4 3/4 30 ) 7 35 )20 )
29 ) 0 34 )
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Operaciones con nmeros con signo
Subtema: Adicin, Sustraccin, Producto y Cociente de Nmeros con signo
Nombre:________________________________________________________________________
1 )
2 )
3 )
4 )
5 )
6 )
7 ) Si un submarino que se encuentra en la superficie del mar se sumerge a razn de 7.3 m por minuto,
a que profundidad se encuentra despus de transcurrido minutos? Usa una recta numricapara explicar lo sucedido.
A las 7:00 am un termmetro marca 4 C bajo cero, alas 11:00 la temperatura aumento 11 C y para las 6:00
pm descendi 1 C, suponiendo que son las 7:00 pm y la temperatura no vario a cuantos grados estamos
ahora?
De un punto A un mvil recorre 20 m ala derecha para luego retroceder en la misma direccin 18 m, a que
distancia y en que direccin se encuentra el mvil del punto A?
Un automvil recorre 193 m a la derecha de un punto A, luego retrocede 47 m en la misma direccin para
despus recorrer nuevamente a la derecha 113 m a que distancia y direccin se encuentra del punto A?
1 1/2
Jaime tiene 181 ,cobr una deuda de 724 pesos, pago un compromiso por 353 pesos. Cunto dinero le
quedo?
Alfonso tiene tres deudas con diferentes personas, a una le debe 635 pesos, a otra 546 pesos y la tercera le
debe 557 pesos, si recibe 998 pesos de salario y gasta 925 pesos Cul es actualmente su situacin
financiera?Cunto debe todava? O le quedo dinero disponible?
Un comerciante de telas hace una compra por 312 pesos, despus recibe pesos por adelanto de un trabajo,
paga a uno de sus proveedores 744 pesos, y por ultimo recibe 89 pesos por finiquito de otro trabajo,
Cunto dinero tiene?
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Operaciones con nmeros con signo
Subtema: Adicin, Sustraccin, Producto y Cociente de Nmeros con signo
Nombre:________________________________________________________________________
1 ) -8 ( 10 ) ( 20 ) ( 12 ) ( 7 ) - ( 9 9 ) 6 =
2 ) -9 ( 15 ) ( 14 ) ( 17 ) ( 7 ) ( 6 2 ) 7 =
3 ) -3 ( 5 ) ( 3 ) ( 1 ) ( 12 ) ( 16 -7 ) 10 =
4 ) -2 ( 2 ) ( 2 ) ( 1 ) ( 3 ) - ( 8 - 2 ) 6 =
5 ) -7 ( 16 ) ( 2 ) ( 16 ) ( 7 ) ( 11 2 ) 7 =
6 ) -3 ( 13 ) ( 15 ) ( 11 ) ( 2 ) - ( 14 - 6 ) 3 =
7 ) -7 ( 18 ) ( 9 ) ( 4 ) ( 7 ) ( 4 -2 ) 7 =
8 ) -9 ( 11 ) ( 12 ) ( 10 ) ( 20 ) ( 9 -5 ) 4 =
9 ) -4 ( 20 ) ( 3 ) ( 11 ) ( 8 ) ( 9 4 ) 3 =
10 ) -4 ( 11 ) ( 9 ) ( 8 ) ( 15 ) ( 17 -10 ) 3 =
11 ) -5 ( 7 ) ( 2 ) ( 1 ) ( 2 ) ( 10 -2 ) 8 =
12 ) -5 ( 5 ) ( 2 ) ( 3 ) ( 14 ) - ( 3 - -3 ) 10 =
13 ) -1 ( 8 ) ( 3 ) ( 6 ) ( 13 ) - ( 10 -10 ) 1 =
14 ) -8 ( 3 ) ( 2 ) ( 1 ) ( 15 ) - ( 0 0 ) 4 =
15 ) -5 ( 3 ) ( 5 ) ( 8 ) ( 3 ) ( 14 5 ) 1 =
16 ) -6 ( 13 ) ( 2 ) ( 17 ) ( 12 ) ( 15 2 ) 3 =
17 ) -8 ( 9 ) ( 15 ) ( 4 ) ( 1 ) ( 11 1 ) 4 =
18 ) -1 ( 6 ) ( 3 ) ( 3 ) ( 18 ) - ( 18 6 ) 1 =
19 ) -1 ( 4 ) ( 3 ) ( 6 ) ( 19 ) ( 7 - 9 ) 2 =
20 ) -6 ( 20 ) ( 19 ) ( 4 ) ( 20 ) ( 12 - 4 ) 2 =
21 ) -7 ( 9 ) ( 10 ) ( 19 ) ( 13 ) ( 36 - 9 ) 10 =
22 ) -2 ( 13 ) ( 6 ) ( 13 ) ( 17 ) ( 18 4 ) 9 =
23 ) -3 ( 10 ) ( 9 ) ( 2 ) ( 17 ) ( 9 -5 ) 1 =
24 ) -8 ( 7 ) ( 3 ) ( 18 ) ( 14 ) ( 20 -4 ) 5 =
25 ) -2 ( 4 ) ( 3 ) ( 16 ) ( 20 ) ( 6 2 ) 6 =
26 ) -4 ( 17 ) ( 18 ) ( 19 ) ( 17 ) ( 7 4 ) 6 =
27 ) -8 ( 18 ) ( 7 ) ( 3 ) ( 7 ) ( 5 - -1 ) 1 =
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28 ) -9 ( 20 ) ( 2 ) ( 13 ) ( 6 ) - ( 8 6 ) 3 =
29 ) -1 ( 55 ) ( 18 ) ( 16 ) ( 17 ) - ( 10 -4 ) 3 =
30 ) -9 ( 4 ) ( 20 ) ( 14 ) ( 11 ) ( 4 -5 ) 8 =
31 ) -7 ( 7 ) ( 1 ) ( 9 ) ( 8 ) - ( 14 -6 ) 5 =
32 ) -5 ( 4 ) ( 9 ) ( 4 ) ( 13 ) ( 15 4 ) 7 =
33 ) -5 ( 13 ) ( 3 ) ( 13 ) ( 10 ) - ( 0 0 ) 10 =
34 ) -7 ( 18 ) ( 16 ) ( 20 ) ( 17 ) ( 8 -3 ) 6 =
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1
2
3
4 -
+ - * 3 4 1
* + + 1 3 3
+ + 2 3 3
- - - 4 4 4
+ + * 3 3 1
- - - 4 4 4
+ + 2 3 3
+ + 3 3 2
* + * 1 3 1
* + * 1 3 1
+ + * 3 3 1
- - 2 4 4
- - 4 4 2
+ - + 3 4 3
+ * 2 3 1
* + * 1 3 1
* + + 1 3 3
* - + 1 4 3
* + - 1 3 4
+ - 2 3 4
- + - 4 3 4
* + 1 3 2
* + * 1 3 1
* + * 1 3 1
- + * 4 3 1
* + 1 3 2
- + - 4 3 4
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- * 2 4 1
- - * 4 4 1
* + * 1 3 1
- - 4 4 2
- + 4 3 2
- + 2 4 3
+ + 3 3 2
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Operaciones con numeros con signo
Subtema: Adicin
Nombre:________________________________________________________________________
1.- ( -44 ) + ( -14 ) + 19 + 6 + ( -4 ) + ( -27 ) + 43 =
2.- 46 + 26 + ( -8 ) + 32 + 28 + ( -18 ) + ( -26 ) =
3.-5
+22
+4
+3
+ (-45
) +36
+39
=4.- ( -20 ) + 21 + ( -28 ) + 3 + 5 + 32 + ( -30 ) =
5.- 48 + 8 + 25 + 10 + 38 + 41 + 36 =
6.- 42 + 30 + 6 + ( -3 ) + ( -15 ) + 50 + ( -3 ) =
7.- ( -18 ) + 25 + ( -46 ) + 41 + ( -13 ) + 34 + 42 =
8.- 45 + ( -45 ) + 17 + ( -37 ) + 44 + ( -20 ) + 34 =
9.- 33 + ( -27 ) + ( -6 ) + 38 + 33 + 2 + ( -48 ) =
10.- 16 + 17 + ( -25 ) + 26 + ( -25 ) + ( -5 ) + 42 =
11.- ( -2 ) + 48 + 32 + 47 + ( -17 ) + ( -4 ) + ( -24 ) =
12.- ( -26 ) + ( -47 ) + 6 + 10 + 37 + ( -33 ) + ( -33 ) =
13.-( -37 ) + ( -8 ) + 48 + 34 + ( -13 ) + 10 + 49 =
14.- 25 + ( -28 ) + ( -29 ) + 5 + ( -16 ) + ( -7 ) + ( -48 ) =
15.- 40 + ( -16 ) + 32 + ( -8 ) + ( -34 ) + 2 + 26 =
16.- 30 + 40 + ( -39 ) + 13 + 44 + 2 + ( -5 ) =
17.- 29 + ( -27 ) + ( -34 ) + ( -31 ) + 24 + 48 + 41 =
18.- 20 + ( -3 ) + ( -9 ) + ( -9 ) + 15 + 34 + 10 =
19.- 22 + 17 + ( -37 ) + ( -13 ) + ( -40 ) + 11 + ( -34 ) =
20.- ( -5 ) + 18 + 35 + 40 + 35 + ( -6 ) + 2 =
21.- 23 + ( -27 ) + 45 + ( -35 ) + 33 + 15 + ( -28 ) =
22.- ( -16 ) + 24 + 17 + ( -23 ) + ( -11 ) + ( -13 ) + ( -31 ) =
23.- 21 + ( -6 ) + ( -7 ) + ( -39 ) + ( -1 ) + ( -47 ) + 40 =
24.- ( -41 ) + 4 + 33 + 18 + 18 + 7 + ( -12 ) =
25.- ( -1 ) + 42 + 18 + 24 + ( -30 ) + 32 + 12 =
26.- 47 + ( -46 ) + ( -50 ) + ( -33 ) + 40 + 33 + 0 =
27.- ( -18 ) + ( -13 ) + 4 + 26 + ( -18 ) + ( -23 ) + ( -11 ) =
28.- 45 + 43 + ( -31 ) + ( -29 ) + ( -23 ) + ( -44 ) + 23 =
29.- ( -3 ) + 32 + ( -44 ) + 30 + ( -41 ) + 24 + ( -21 ) =
30.- ( -41 ) + 12 + ( -49 ) + ( -45 ) + ( -13 ) + ( -36 ) + ( -28 ) =
31.- ( -39 ) + ( -43 ) + 21 + 4 + ( -46 ) + 46 + 37 =
32.- 34 + ( -24 ) + ( -49 ) + ( -1 ) + 1 + ( -42 ) + 19 =
33.- 14 + ( -48 ) + ( -14 ) + 27 + ( -16 ) + 10 + 5 =
34.- ( -39 ) + 17 + ( -41 ) + 42 + ( -47 ) + ( -6 ) + 30 =
35.- 24 + 30 + ( -42 ) + 38 + 43 + ( -1 ) + 26 =
1.-
2.-
3.-
4.-
5.-
11.-
12.-
13.-
14.-
-21 6.-
7.-
8.-
9.-
107
80
64
-17
65 50
18.- 5838
25
80
-86
83
-98
16.-
17.-
26.-
27.-
28.-
-53
-39
-53
-16
22.-
23.-
24.- 27
32.- -62
33.- -22
34.- -44
206 4610.- 15.- 42 20.- 119
19.- -74
11825.- 97 30.- -200 35.-
85 26 -9 -20 31.-21.-
29.- -23
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Operaciones con numeros con signo
Subtema: Adicin, Sustraccin,Producto y Cociente de Nmeros con signo
Nombre:________________________________________________________________________
1.- 39 + ( -1 ) + 16 + ( -25 ) + ( -30 ) + 10 + 13 =
2.- 12 + 50 + 30 + ( -33 ) + ( -4 ) + ( -31 ) + ( -39 ) =
3.- 38 + 19 + 49 + ( -19 ) + ( -38 ) + ( -18 ) + ( -18 ) =
4.- ( -12 ) + 34 + ( -28 ) + 15 + ( -25 ) + ( -47 ) + ( -38 ) =
5.- 48 + ( -27 ) + ( -40 ) + ( -36 ) + 30 + ( -39 ) + ( -18 ) =
6.- 40 + ( -10 ) + ( -24 ) + 31 + ( -32 ) + 31 + ( -7 ) =
7.- ( -2 ) + 25 + 41 + 21 + 19 + 35 + 6 =
8.- ( -6 ) + ( -24 ) + 13 + ( -11 ) + 14 + 6 + 29 =
9.- 17 + 36 + ( -5 ) + 35 + 25 + ( -2 ) + 19 =
10.- 27 + ( -37 ) + 21 + 48 + 31 + ( -20 ) + 42 =
11.- ( -14 ) + ( -2 ) + 30 + 4 + 18 + ( -49 ) + 25 =
12.- 36 + ( -8 ) + ( -48 ) + ( -46 ) + ( -17 ) + 7 + 46 =
13.- ( -1 ) + 10 + 50 + 43 + ( -40 ) + 23 + ( -45 ) =
14.- ( -40 ) + ( -9 ) + ( -4 ) + 36 + 1 + 3 + 16 =
15.- ( -8 ) + ( -8 ) + 33 + 43 + 1 + ( -7 ) + 37 =
16.- 48 + ( -44 ) + ( -18 ) + ( -7 ) + ( -25 ) + ( -42 ) + 2 =
17.- ( -19 ) + 32 + ( -34 ) + ( -19 ) + 14 + 50 + 9 =
18.- 12 + ( -10 ) + ( -35 ) + 21 + ( -49 ) + ( -32 ) + 24 =
19.- ( -45 ) + 14 + ( -4 ) + 30 + 38 + 49 + ( -8 ) =
20.- ( -34 ) + ( -4 ) + 43 + ( -16 ) + 49 + 47 + ( -25 ) =
21.- 24 + 17 + ( -47 ) + ( -26 ) + ( -17 ) + 10 + 18 =
22.- ( -8 ) + 48 + ( -21 ) + 8 + ( -39 ) + 34 + ( -27 ) =
23.- 50 + ( -8 ) + ( -23 ) + ( -37 ) + 48 + 46 + ( -38 ) =
24.- ( -15 ) + ( -3 ) + ( -49 ) + 12 + ( -8 ) + 16 + ( -14 ) =
25.- 34 + 46 + ( -35 ) + 2 + 17 + ( -48 ) + ( -29 ) =
26.- ( -11 ) + 40 + 4 + ( -27 ) + 43 + 13 + 32 =
27.- ( -22 ) + ( -39 ) + 8 + ( -48 ) + ( -32 ) + 8 + ( -9 ) =
28.- ( -18 ) + ( -11 ) + ( -32 ) + ( -49 ) + 3 + ( -8 ) + 28 =
29.- 49 + ( -11 ) + 13 + 17 + 10 + ( -28 ) + ( -32 ) =
30.- 22 + 28 + 48 + 25 + 25 + ( -37 ) + ( -19 ) =
31.- ( -29 ) + 11 + 26 + 20 + ( -13 ) + 44 + ( -28 ) =
32.- ( -13 ) + 28 + 40 + ( -1 ) + ( -19 ) + ( -32 ) + ( -16 ) =
33.- 17 + 18 + 26 + 10 + 39 + ( -2 ) + 20 =
34.- ( -12 ) + ( -28 ) + ( -49 ) + ( -29 ) + 15 + ( -11 ) + ( -9 ) =
35.- ( -46 ) + ( -13 ) + ( -10 ) + 9 + 35 + 41 + ( -43 ) =
36.- ( -28 ) + 36 + 21 + 37 + ( -36 ) + 4 + ( -37 ) =
37.- 15 + ( -44 ) + 38 + 31 + ( -50 ) + ( -10 ) + ( -35 ) =
38.- ( -12 ) + 26 + 4 + 12 + 49 + 8 + 38 =
39.- 44 + ( -42 ) + ( -47 ) + 5 + ( -48 ) + ( -7 ) + ( -8 ) =
40.- 17 + 39 + 46 + ( -42 ) + 41 + ( -4 ) + ( -16 ) =
41.- ( -23 ) + ( -25 ) + ( -42 ) + ( -46 ) + 12 + ( -7 ) + 15 =
42.- ( -48 ) + ( -2 ) + ( -23 ) + 17 + 13 + ( -50 ) + 29 =
43.- ( -9 ) + 47 + 8 + 48 + ( -48 ) + ( -46 ) + 15 =
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44.- ( -19 ) + ( -13 ) + ( -43 ) + 45 + ( -48 ) + ( -18 ) + ( -40 ) =
45.- ( -7 ) + 9 + ( -27 ) + ( -2 ) + 10 + ( -49 ) + ( -30 ) =
46.- 30 + ( -11 ) + 29 + ( -12 ) + 48 + 0 + 45 =
47.- ( -19 ) + 18 + ( -22 ) + 0 + ( -42 ) + 8 + 6 =
48.- 14 + ( -30 ) + 48 + ( -43 ) + 10 + ( -41 ) + ( -24 ) =
1.-
2.-
3.-
4.-
5.-
6.-
40 19.-
38.- 125
43.-
20.- 60
25.- 31.- 37.-22 7.- 13.-
-103 45.-
44.-
145 74 -13 31 -55
-15 8.- 21 14.- 3
21.- -21 27.-
26.- 94
13 9.- 125 15.- 91 -134 33.- 128 39.-
-13632.- -13
-101 112 16.- -86 22.-
29 -69 48.- 151
38 29.- 18 35.- -27 41.--82 11.- 12 33 23.-
10.-
18.-
17.- -116 47.-
34.- -123 40.- 81 46.--5 28.- -87
24.- -61 30.- 9212.- -30
15
36.- -3 42.- -64
-51
129
-96
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Operaciones con numeros con signo
Subtema: Adicin y Sustraccin de Nmeros con signo
Nombre:________________________________________________________________________
1.- ( 18 ) ( -17 ) = 1.- ( -13.0 ) + ( -0.5 ) =
2.- ( 2 ) ( 17 ) = 2.- ( -6.7 ) - ( -15.7 ) =
3.- ( 10 ) ( -8 ) = 3.- ( -12.4 ) - ( -14.9 ) =4.- ( 11 ) ( -15 ) = 4.- ( -18.3 ) - ( -11.3 ) =
5.- ( 10 ) ( -11 ) = 5.- ( -2.8 ) - ( -16.9 ) =
6.- ( 11 ) ( 14 ) = 6.- ( -0.8 ) - ( -1.5 ) =
7.- ( 5 ) ( -13 ) = 7.- ( 0.6 ) + ( -6.6 ) =
8.- ( 17 ) ( 11 ) = 8.- ( -5.7 ) + ( -16.4 ) =
9.- ( 15 ) ( -1 ) = 9.- ( -4.4 ) + ( -14.2 ) =
10.- ( 20 ) ( 11 ) = 10.- ( -4.0 ) + ( -10.7 ) =
11.- ( 8 ) ( -11 ) = 11.- ( -6.9 ) + ( -14.5 ) =
12.- ( -6 ) ( -15 ) = 12.- ( -2.6 ) + ( -13.9 ) =
13.- ( 4 ) ( -1 ) = 13.- ( -13.8 ) - ( -7.3 ) =
14.- ( 6 ) ( 16 ) = 14.- ( -2.1 ) - ( -15.5 ) =
15.- ( -10 ) ( -8 ) = 15.- ( -10.9 ) - ( -6.4 ) =
16.- ( -14 ) ( 19 ) = 16.- ( -3.8 ) + ( -14.4 ) =
17.- ( -14 ) ( 10 ) = 17.- ( -11.6 ) - ( 0.9 ) =
18.- ( 0 ) ( -3 ) = 18.- ( -0.1 ) + ( -18.6 ) =
19.- ( -8 ) ( 0 ) = 19.- ( -1.3 ) - ( -2.0 ) =
20.- ( -13 ) ( -10 ) = 20.- ( -10.6 ) - ( -13.4 ) =
21.- ( 4/8 ) ( 1/7 ) = 21.- ( 0.9 ) + ( -3.1 ) =
22.- ( 2/8 ) ( 1/2 ) = 22.- ( -14.5 ) + ( -14.0 ) =
23.- ( 3/8 ) ( 1/7 ) = 23.- ( -13.2 ) + ( -5.2 ) =
24.- ( 3/8 ) ( 1/5 ) = 24.- ( -14.7 ) - ( -15.8 ) =25.- ( 2/8 ) ( 1/5 ) = 25.- ( -8.4 ) - ( -5.0 ) =
26.- ( 3/8 ) ( 1/8 ) = 26.- ( -7.0 ) + ( -1.4 ) =
27.- ( 3/8 ) ( 1/9 ) = 27.- ( -5.8 ) + ( -14.1 ) =
28.- ( 2/8 ) ( 1/4 ) = 28.- ( -0.1 ) - ( -10.1 ) =
29.- ( 2/8 ) ( 1/4 ) =
30.- ( 4/8 ) ( 1/3 ) =
31.- ( -18 ) ( -6 ) - ( -12 ) - ( -18 ) =
32.- ( -14 ) + ( -4 ) - ( -14 ) + ( -12 ) =
33.- ( -2 ) + ( -3 ) + ( -19 ) - ( -8 ) =
34.- ( -18 ) - ( -14 ) - ( -13 ) - ( -8 ) =
35.- ( -14 ) + ( -12 ) - ( -2 ) + ( -1 ) =
36.- ( -10 ) + ( -16 ) - ( -13 ) + ( -19 ) =
37.- ( -12 ) - ( -10 ) + ( -15 ) - ( -2 ) =
38.- ( -19 ) - ( -6 ) + ( -11 ) + ( -7 ) =
39.- ( -15 ) + ( -14 ) + ( -11 ) + ( -2 ) =
40.- ( -7 ) - ( -3 ) - ( -13 ) + ( -11 ) =
41.- ( -10 ) + ( -10 ) + ( -6 ) - ( -15 ) =
42.- ( -10 ) + ( -10 ) + ( -9 ) + ( -10 ) =
-
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43.- ( -1 ) + ( -11 ) - ( -18 ) + ( -3 ) =
44.- ( -3 ) + ( -12 ) + ( -18 ) + ( -15 ) =
45.- ( -17 ) - ( -11 ) - ( -11 ) - ( -2 ) =
46.- ( -16 ) - ( -1 ) - ( -16 ) + ( -16 ) =
47.- ( -20 ) - ( -9 ) - ( -2 ) - ( -11 ) =
48.- ( -15 ) - ( -19 ) + ( -17 ) - ( -4 ) =
49.- ( -6 ) + ( -13 ) + ( -20 ) + ( -8 ) =
50.- ( -4 ) - ( -7 ) - ( -3 ) - ( -12 ) =51.- ( -4 ) + ( -15 ) - ( -14 ) - ( -13 ) =
52.- ( -13 ) + ( -17 ) + ( -9 ) + ( -11 ) =
53.- ( -15 ) - ( -13 ) - ( -3 ) - ( -18 ) =
-
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Operaciones con numeros con signo
Subtema: Producto de Nmeros con signo
Nombre:________________________________________________________________________
1.- ( 2 ) ( -3 ) = 1.- ( -2.2 ) * ( -7.1 ) =
2.- ( 14 ) ( -6 ) = 2.- ( -7.4 ) x ( -16.4 ) =3.- ( 6 ) ( -9 ) = 3.- ( -14.5 ) * ( -18.3 ) =
4.- ( 15 ) ( 17 ) = 4.- ( -4.4 ) x ( -4.2 ) =
5.- ( 1 ) ( -11 ) = 5.- ( 0.6 ) * ( -14.1 ) =
6.- ( 14 ) ( -10 ) = 6.- ( -12.2 ) x ( -7.5 ) =
7.- ( 5 ) ( -14 ) = 7.- ( -6.6 ) * ( -5.4 ) =
8.- ( 3 ) ( -1 ) = 8.- ( -14.2 ) x ( -18.9 ) =
9.- ( 11 ) ( -12 ) = 9.- ( -14.5 ) * ( -14.6 ) =
10.- ( 19 ) ( 14 ) = 10.- ( -10.9 ) x ( -0.7 ) =
11.- ( 13 ) ( 2 ) = 11.- ( -15.8 ) * ( -0.1 ) =
12.- ( 6 ) ( -1 ) = 12.- ( -4.3 ) x ( -8.1 ) =
13.- ( -9 ) ( -9 ) = 13.- ( -4.8 ) * ( -4.7 ) =
14.- ( 11 ) ( -4 ) = 14.- ( -3.4 ) x ( -8.7 ) =
15.- ( 9 ) ( 6 ) = 15.- ( -5.9 ) * ( -11.1 ) =
16.- ( -10 ) ( -8 ) = 16.- ( -13.5 ) x ( -5.1 ) =
17.- ( 14 ) ( -5 ) = 17.- ( -8.6 ) * ( -0.7 ) =
18.- ( 8 ) ( 13 ) = 18.- ( -0.6 ) x ( -7.7 ) =
19.- ( 4 ) ( -6 ) = 19.- ( -5.9 ) * ( -6.5 ) =
20.- ( -8 ) ( 8 ) = 20.- ( -13.4 ) x ( -3.1 ) =
21.- ( -13 ) ( -20 ) = 21.- ( -16.4 ) * ( -6.2 ) =
22.- ( -10 ) ( -11 ) = 22.- ( -10.2 ) x ( -4.4 ) =
23.- ( -11 ) ( -15 ) = 23.- ( -7.9 ) * ( -8.6 ) =24.- ( -18 ) ( -9 ) = 24.- ( -3.6 ) x ( -15.0 ) =
25.- ( -20 ) ( -19 ) = 25.- ( -17.6 ) * ( 0.3 ) =
26.- ( -1 ) ( -20 ) = 26.- ( -4.9 ) x ( -16.2 ) =
27.- ( -11 ) ( -5 ) = 27.- ( -16.0 ) * ( -9.2 ) =
28.- ( -11 ) ( -1 ) = 28.- ( -8.5 ) x ( -3.6 ) =
29.- ( -11 ) ( -15 ) =
30.- ( -19 ) ( -20 ) =
31.- ( -3 ) ( -1 ) ( -10 ) ( -4 ) =
32.- ( -13 ) ( -14 ) ( -7 ) ( -8 ) =
33.- ( -12 ) ( -1 ) ( -6 ) ( -12 ) =
34.- ( -10 ) ( -8 ) ( -6 ) ( -16 ) =
35.- ( -18 ) ( -2 ) ( -8 ) ( -12 ) =
36.- ( -6 ) ( -20 ) ( -4 ) ( -7 ) =
37.- ( -19 ) ( -10 ) ( -8 ) ( -13 ) =
38.- ( -18 ) ( -13 ) ( -15 ) ( -3 ) =
39.- ( -9 ) ( -11 ) ( -8 ) ( -2 ) =
40.- ( -14 ) ( -2 ) ( -3 ) ( -8 ) =
41.- ( -10 ) ( -5 ) ( -6 ) ( -16 ) =
42.- ( -5 ) ( -1 ) ( -16 ) ( -12 ) =
-
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43.- ( -11 ) ( -14 ) ( -19 ) ( -6 ) =
44.- ( -3 ) ( -10 ) ( -19 ) ( -20 ) =
45.- ( -13 ) ( -17 ) ( -7 ) ( -8 ) =
46.- ( -11 ) ( -7 ) ( -19 ) ( -14 ) =
47.- ( -5 ) ( -7 ) ( -5 ) ( -8 ) =
48.- ( -3 ) ( -15 ) ( -9 ) ( -13 ) =
49.- ( -9 ) ( -18 ) ( -3 ) ( -4 ) =50.- ( -19 ) ( -7 ) ( -14 ) ( -9 ) =
51.- ( -7 ) ( -13 ) ( -1 ) ( -10 ) =
52.- ( -20 ) ( -1 ) ( -15 ) ( -17 ) =
53.- ( -7 ) ( -6 ) ( -2 ) ( -4 ) =
-
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-0.77938031 8
-0.9148202 10
-0.85838925 2
-0.97846797 10
-0.11044007 8
-0.13914255 6-0.21836603 7
-0.93323902 3
-0.29674876 1
-0.18343115 5
-0.41070473 10
-0.94317997 1
-0.17610877
-0.40747957
-0.24035989
-0.41153245
-0.19481359
-0.35191159
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-0.27388537
-0.02881802
-0.32876807
-0.73656952
-0.87497119
-0.79553471
-0.62867801
-0.28111557
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-0.63297723
-0.36501877
-0.73766101
-0.2474542
-0.52321402
-0.16327115
-0.09395396-0.70254805
-0.87035285
-0.61297728
-0.4861712
-0.15542676
-0.36591537
-0.08722417
-0.71403583
-0.54598258
-0.19702155
-0.93245904
-0.99774637
-0.74694653
-0.39370054
-0.491502
-0.75595254
-0.83497624
-0.54963462
-0.36061168
-0.41977071
-0.91986592-0.46786493
-0.92073146
-0.18553412
-0.91505028
-0.16945301
-0.35541637
-0.42642283
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-0.56047305
-0.11731544
-0.12653466
-0.85787535
-0.24957027
-0.86184068
-0.91873411
-0.98971784
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-0.45042026
-0.18795736
-0.73966232
-0.76073454
-0.37063046
-0.24281644
-0.81039057-0.70794181
-0.31386854
-0.58572807
-0.74731081
-0.29591127
-0.38425025
-0.77150471
-0.37122425
-0.98140881
-0.11975272
-0.64262228
-0.73283443
-0.36636652
-0.23531291
-0.88289383
-0.58533117
-0.67499303
-0.77104656
-0.31919848
-0.47822182
-0.77660683-0.28528552
-0.27215646
-0.06356587
-0.53153842
-0.64505001
-0.87889691
-0.0673009
-0.70585914
-0.73934004
-0.90330077
-0.56152733
-0.10327446
-0.15260063
-0.70019502
-0.46204373
-0.39987735
-0.96676765
-0.51837362
-0.81167383
-
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-0.80763889
-0.65587911
-0.66408761
-0.16865747
-0.98050718
-0.57706844
-0.28413314-0.17467773
-0.89218568
-0.28950465
-0.14199466
-0.17515598
-0.64966818
-0.57611947
-0.58737211
-0.23878797
-0.3230454
-0.31635271
-0.0400332
-0.55547011
-0.32615949
-0.23900983
-0.46323281
-0.60054381
-0.61786239
-0.43239521
-0.7579398
-0.96400375-0.6589072
-0.56280294
-0.21495801
-0.12488129
-0.97055604
-
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10 0.8 0.2 1/5
2 5 0.16666667 1/6
4 0.5 0.14285714 1/7
6 1.66666667 0.5 1/2
2 4 0.11111111 1/9
6 1 0.14285714 1/76 1.16666667 0.14285714 1/7
4 0.75 0.2 1/5
8 0.125 0.14285714 1/7
10 0.5 0.1 1/10
10 1 0.16666667 1/6
2 0.5 0.5 1/2
0.25 1/4
0.11111111 1/9
0.14285714 1/7
0.125 1/8
-
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Operaciones con nmeros con signo
Subtema: Adicin, Sustraccin, Producto y Cociente de Nmeros con signo
Nombre:________________________________________________________________________
1.- ------------ 35.- ------
2.- -------- 36.- --------
3.- ---- 37.- ----------
4.- ------- 38.- -----
5.- ---------- 39.- ---
6.- 40.- -----
7.- ------- 41.- ----
8.- ------ 42.- -----
9.- - 43.- -
10.- ------- 44.- -----
11.- ----- 45.- -------
12.- ----------- 46.- -------
13.- --------- 47.- -----
14.- -------- 48.- ------
15.- ------------ 49.- ---
16.- ------ 50.- ----------
17.- ----- 51.- ----
18.- ---------- 52.- ---
19.- ----- 53.- ---
20.- --- 54.- -----
21.- --- 55.- ----
22.- ------ 56.- -----
23.- --------- 57.- ------
24.- ------- 58.- ----
25.- ----------- 59.- -------
26.- ------ 60.- -------
27.- ----- 61.- --------
28.- ----- 62.- --------
29.- ----- 63.- -------
30.- ------ 64.- -------
31.- -------- 65.- --
32.- ------- 66.- -----
33.- -------- 67.- ------
34.- ----- 68.- -------
-
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------
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-
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-------
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------
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----
---
-----
--
--------
----
----
----------
---------
-------
-------
-------
-----
---
-------
---------
-------
-----
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----------
-------
-------
----
------
-------
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----------
--------
-------
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------
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-
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5 - ( -10 ) - 6 ( -8 ) 16 - ( -3 ) - 7
( -30 ) ( -10 ) - ( -3 ) ( -1 ) 14 - ( 10 ) ( 19
( 20 ) 2 - ( 18 ) ( -11 ) 19 ( -1 ) 7
54 - 18 57 - 19 - ( -17 ) - ( -17 ) ( 19
( -9 ) - ( -3 ) 7 18 ( -6 ) - ( -3 ) ( 11
( 10 ) 14 ( 16 ) ( 2 ) 3 ( 8 ) ( 12
( -60 ) ( -20 ) ( 5 ) ( -14 ) ( -3 ) ( -1 ) ( 17
( 18 ) 16 - 16 8 15 - ( -15 ) - 11
( 1 ) 1 16 8 28 ( 7 ) ( 18
- 72 18 - 2 - 15 - 15 - ( -2 ) ( 6
( -6 ) - ( -3 ) ( 9 ) ( -8 ) 12 - ( 6 ) ( 2
- ( 19 ) ( -2 ) - ( 4 ) ( -7 ) 9 - ( -19 ) - 9
( 4 ) ( -9 ) - 18 - 18 - ( -14 ) - ( -7 ) 16
18 - ( -3 ) - ( 5 ) ( -19 ) 2 ( 1 ) ( 20
28 - 14 - ( -4 ) - ( -1 ) - 17 ( -7 ) 6
( 4 ) 8 - 60 - 15 - 45 - ( 15 ) ( 17
76 - 19 - 8 14 9 ( 8 ) ( 15
( 15 ) ( -1 ) ( -32 ) - ( -8 ) - ( -42 ) - ( -14 ) 12
( 14 ) ( -4 ) 15 - 5 - 8 - ( 2 ) ( 18
5 ( -1 ) - ( 2 ) ( -20 ) 5 ( 18 ) ( 19
( 13 ) 3 9 - 5 - 11 11 36
- ( -60 ) ( -20 ) - ( 17 ) ( 6 ) 54 18 - 1
( -40 ) - ( -20 ) - 4 - 4 - 9 ( -3 ) ( 11
- 9 3 ( -22 ) ( -11 ) ( -18 ) ( -18 ) ( 4
( -4 ) - ( -4 ) 16 - 4 - 19 ( -4 ) - ( -4
17 ( -5 ) ( 20 ) ( -8 ) ( -28 ) - ( -7 ) ( 19
( 2 ) 10 ( -32 ) ( -16 ) 40 10 - 15
( 4 ) 4 ( 10 ) ( 6 ) 15 - ( -4 ) - 17
( 4 ) 5 ( 18 ) ( -18 ) 32 16 - 17
15 - 6 - 36 12 18 - 9 - 1
( 13 ) 20 - ( 3 ) ( -19 ) 4 - ( -5 ) - 9
( 13 ) ( -9 ) ( 5 ) ( 13 ) 7 - ( -15 ) - 5
- ( 15 ) 9 - ( 4 ) ( -9 ) ( -8 ) - ( -8 ) - 6
- 5 ( -14 ) 26 - 13 - 2 ( -18 ) 12
( -15 ) ( -15 ) ( 7 ) ( -16 ) 14 14 80
-
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9 - 9 ( 17 ) ( 17 ) 12 - 3 - ( -3
1 - 7 - ( -60 ) ( -20 ) 15 - ( -8 ) ( 3
18 - ( -8 ) 5 - 8 - 1 - 17 - 5
( 8 ) ( -14 ) 34 17 17 - ( 3 ) ( 9
14 10 ( 15 ) ( 12 ) 20 ( -18 ) ( 13
10 - 18 - 6 - ( -4 ) - 42 ( 14 ) ( 18
16 4 33 11 20 - ( 2 ) ( 6
32 16 - ( 14 ) ( -7 ) 12 ( 4 ) ( 13
11 - 11 ( 5 ) ( 6 ) 18 ( 10 ) ( 14
( 10 ) ( -13 ) 19 - 10 - ( -12 ) ( -4 ) 45
19 3 12 ( -15 ) ( -9 ) - ( -3 ) 10
( -24 ) ( -12 ) 3 - ( -13 ) - ( -36 ) ( -12 ) ( 18
18 18 18 - 16 - 13 - ( -18 ) ( 7
( -27 ) ( -9 ) - 4 - 1 - 14 ( 14 ) ( 13
( 19 ) 12 ( 16 ) ( -8 ) 10 - 6 18
( 6 ) ( -6 ) 1 - ( -10 ) - 6 - 20 - 14
6 7 - 12 ( -5 ) 11 16 20
8 2 ( 9 ) ( -20 ) 7 - 6 3642 14 ( 6 ) ( 4 ) ( -12 ) ( -4 ) ( 5
5 15 11 ( -4 ) 24 - 8 11
( 8 ) 4 ( 10 ) ( -11 ) 36 ( 12 ) ( 11
( 1 ) ( -17 ) ( 13 ) ( -1 ) 4 - ( 19 ) ( 15
14 - ( -13 ) ( 2 ) ( 0 ) ( -45 ) ( -15 ) ( -2
( 14 ) 2 ( 7 ) ( 14 ) ( -8 ) ( -2 ) ( -24
4 - ( -11 ) 14 - 15 - ( -45 ) ( -15 ) ( 3
( -8 ) ( -4 ) 5 - ( -2 ) - 13 - ( -18 ) ( 5
5 - ( -11 ) ( 4 ) ( -14 ) 5 - ( -11 ) - 13
( 15 ) ( -20 ) - 33 11 5 - 16 - 2
14 - ( -14 ) - ( 8 ) ( -1 ) 11 - ( 18 ) ( 14
( 9 ) ( -17 ) - 9 - ( -11 ) - 45 ( 15 ) ( 6
( 15 ) 5 ( 2 ) ( 0 ) 12 ( -13 ) 5
12 ( -11 ) ( 5 ) ( 4 ) 4 ( -2 ) - 28
( 10 ) ( -20 ) - 20 ( -17 ) ( -38 ) - ( -19 ) ( 14
13 - 17 - ( -24 ) ( -6 ) 38 ( 19 ) ( 19
( 7 ) 12 - ( 11 ) ( 11 ) 10 5 ( -1
8 ( -9 ) ( 15 ) ( 14 ) 16 3 8
( 3 ) 6 7 12 2 10 18
( -16 ) - ( -8 ) ( 12 ) ( 20 ) 10 ( -10 ) ( 6
( 10 ) ( -16 ) - 20 - 1 - 20 5 - 1613 - ( -7 ) - ( 9 ) ( 14 ) ( -24 ) ( -12 ) ( 19
( 10 ) ( -17 ) 11 - 13 - 15 ( 5 ) ( 20
9 ( -18 ) ( 7 ) ( -10 ) ( -8 ) - ( -4 ) - 16
( 1 ) ( -15 ) - ( 4 ) ( -19 ) 14 ( -12 ) 18
( -5 ) ( -5 ) 1 - 11 - 13 13 ( -64
( 11 ) 4 ( 14 ) ( -18 ) ( -24 ) ( -12 ) ( 14
19 ( -18 ) 14 ( -4 ) 18 2 - 19
( 8 ) ( -20 ) - ( 20 ) ( -3 ) 20 - ( -15 ) ( 2
( -12 ) ( -3 ) 21 7 3 ( 1 ) ( 18
-
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( -36 ) ( -12 ) - 18 - 10 - 4 - ( 4 ) ( 20
11 11 - ( 4 ) ( -15 ) 19 17 8
( 15 ) ( -15 ) ( 1 ) ( -6 ) 5 - 0 ( -2
17 ( -8 ) - 13 3 ( -6 ) - ( -2 ) ( 18
( -12 ) - ( -4 ) - ( -1 ) - ( -1 ) - ( -24 ) - ( -8 ) 8
( 3 ) ( -15 ) 6 - ( -12 ) - ( -54 ) ( -18 ) 36
( 3 ) ( -10 ) 3 - 3 - ( -4 ) - ( -2 ) 18
14 ( -3 ) - ( 18 ) ( 3 ) 2 ( -16 ) ( 57 - 0 ( 13 ) ( -9 ) 16 ( 8 ) ( 5
( 9 ) ( -18 ) - ( 3 ) ( 15 ) ( -26 ) ( -13 ) ( 3
( 3 ) ( -14 ) - ( -72 ) - ( -18 ) - 14 ( -16 ) ( 1
( 2 ) ( -12 ) 15 - 5 - 4 - ( 11 ) ( 7
( 9 ) 12 ( 18 ) ( -20 ) 24 - 12 6
( -80 ) - ( -20 ) 13 16 19 ( -6 ) 14
( -9 ) ( -3 ) ( 15 ) ( -6 ) 5 ( 5 ) ( 8
10 - ( -20 ) 12 6 5 - 15 ( -8
8 - 0 - ( 14 ) ( -7 ) 17 - ( 2 ) ( 13
( -36 ) ( -12 ) ( 18 ) ( -18 ) 3 - 10 22
( 14 ) ( -5 ) - ( 4 ) ( 12 ) 44 ( 11 ) ( 20
1 ( -6 ) ( 8 ) ( -3 ) 14 ( -15 ) ( 18
( 11 ) 8 - ( 1 ) ( -18 ) ( -6 ) ( -3 ) - 20
( 16 ) 15 - 16 - 4 - 18 - ( 6 ) ( 3
( 19 ) ( -8 ) 14 - ( -18 ) - ( -72 ) ( -18 ) ( 11
( 20 ) ( -19 ) - ( 17 ) ( -18 ) 5 ( 11 ) ( 15
( 6 ) 10 - ( -52 ) - ( -13 ) - 9 ( -17 ) - 36
( 17 ) 17 6 - 6 - 9 - ( -8 ) ( 6
10 0 - ( 13 ) ( -7 ) 57 - ( 19 ) ( 20
45 - 15 - ( 14 ) ( 17 ) 17 ( -20 ) - ( -8
( 2 ) 17 5 - ( -10 ) - 15 - ( -2 ) ( 1( -5 ) - ( -5 ) ( 19 ) ( -15 ) 20 - ( 20 ) ( 15
( 12 ) ( -11 ) ( -60 ) - ( -20 ) - 4 ( -15 ) - 16
54 18 - 3 3 ( -36 ) ( -9 ) ( 20
40 10 - ( 8 ) ( 3 ) 1 - ( -1 ) 14
( 9 ) 19 51 17 ( -24 ) ( -8 ) - 9
60 - 20 - 10 4 2 - 2 - ( -4
( 11 ) ( -6 ) ( -20 ) - ( -20 ) - 36 - 12 - ( -7
( 12 ) ( -6 ) 10 - ( -8 ) - 8 - ( 6 ) ( 15
( 9 ) ( -11 ) ( 11 ) ( 4 ) 39 - ( 13 ) ( 9
6 - 6 - ( 13 ) ( -14 ) 10 - ( 18 ) ( 12
45 15 - 6 - 17 - 3 3 ( -3
9 - ( -20 ) ( 18 ) ( -11 ) 7 - 5 - 6
( 13 ) ( -9 ) ( -44 ) - ( -11 ) - 6 ( -13 ) - 40
( 14 ) 1 - ( 19 ) ( -20 ) ( -48 ) - ( -16 ) ( 5
9 - ( -14 ) - ( 15 ) ( 4 ) ( -2 ) ( -2 ) 16
( 18 ) 3 ( 7 ) ( 1 ) ( -2 ) ( -2 ) ( 6
( 3 ) ( -20 ) - ( 9 ) ( 1 ) ( -24 ) - ( -6 ) - ( -2
( -15 ) - ( -15 ) ( 13 ) ( -9 ) 14 ( -15 ) ( 19
36 18 - ( 20 ) ( 13 ) 17 - ( -5 ) ( -1
-
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5 4 ( 2 ) ( -8 ) 15 ( -19 ) 1
15 15 ( 8 ) ( 4 ) 13 - ( 15 ) ( 2
( 13 ) 4 ( 8 ) ( -20 ) 15 ( -9 ) - 6
( 8 ) 10 - ( 10 ) ( 5 ) 16 - ( 16 ) ( 6
( -51 ) ( -17 ) - 21 7 14 - ( -15 ) ( 20
( -19 ) ( -19 ) ( 15 ) ( -18 ) 12 ( 12 ) ( 18
( 15 ) 14 - ( 9 ) ( -12 ) 9 ( -16 ) ( 18
( 12 ) 2 ( 12 ) ( 2 ) ( -4 ) - ( -2 ) 10( -5 ) ( -5 ) ( 15 ) ( -7 ) 33 11 - 2
( -48 ) - ( -12 ) - ( -28 ) - ( -7 ) - 10 ( 13 ) ( 20
12 - 20 - 13 - 7 - 39 ( 13 ) ( 2
( 3 ) 16 - ( 7 ) ( 12 ) 6 - ( -14 ) ( -3
20 ( -14 ) ( 15 ) ( -4 ) 6 - 2 19
( 17 ) 5 - 4 ( -4 ) 36 - ( 9 ) ( 9
7 1 ( 20 ) ( -15 ) 2 - ( 2 ) ( 1
( -6 ) ( -2 ) - ( 3 ) ( 9 ) ( -18 ) ( -6 ) 30
( -10 ) - ( -5 ) - 3 - 1 - ( -24 ) - ( -8 ) ( 20
33 11 - ( 7 ) ( -10 ) 17 - ( -18 ) ( -1
( 2 ) ( -13 ) - ( 16 ) ( -4 ) 6 ( 1 ) ( 12
16 ( -3 ) 19 ( -3 ) 32 - ( 8 ) ( 19
( 8 ) 1 - ( 11 ) ( -20 ) ( -45 ) - ( -15 ) ( 4
9 20 ( -8 ) - ( -8 ) - 36 - 12 5
18 - ( -7 ) - ( 10 ) ( -2 ) ( -12 ) ( -12 ) 6
( 16 ) 8 17 ( -2 ) ( -60 ) - ( -20 ) ( 9
( 5 ) ( -8 ) - 0 0 12 - 11 ( -3
( 11 ) 11 - ( 16 ) ( -11 ) ( -14 ) - ( -7 ) ( 5
( 5 ) ( -6 ) ( 12 ) ( 20 ) ( -16 ) ( -16 ) ( 3
( 8 ) 9 - ( 20 ) ( -8 ) 20 ( -5 ) ( 19
( 11 ) ( -8 ) - ( 14 ) ( -8 ) 6 - 6 10( 14 ) 1 ( -2 ) ( -1 ) 30 10 - 14
14 ( -13 ) 10 18 54 - 18 20
8 ( -9 ) 51 - 17 - 4 ( -15 ) 20
12 - 13 - 1 - 8 - 19 - 17 - 10
( 12 ) ( -4 ) - ( -28 ) ( -7 ) ( -60 ) ( -15 ) ( 4
13 - 14 19 - 10 - ( -12 ) ( -6 ) ( 18
( 10 ) 7 - ( -15 ) - ( -15 ) - 4 ( 7 ) ( 7
( 16 ) ( -3 ) - ( 19 ) ( -17 ) 8 5 4
15 - 16 - 18 - 11 - 17 - ( -5 ) 4
( -20 ) - ( -5 ) ( 9 ) ( 2 ) ( -3 ) - ( -3 ) - 48
( 19 ) 4 - ( 20 ) ( -9 ) 6 10 14
6 ( -8 ) ( 9 ) ( 11 ) 0 - ( 0 ) ( 11
( 2 ) 14 - 9 3 10 - ( -5 ) ( -3
11 ( -4 ) ( 13 ) ( 14 ) 4 ( -3 ) ( 18
( 14 ) ( -8 ) - ( 13 ) ( -6 ) 18 - ( -6 ) 36
12 ( -13 ) ( 1 ) ( -8 ) 16 ( -8 ) - 48
( -13 ) ( -13 ) 12 - 2 - ( -13 ) ( -13 ) ( 6
( 1 ) 0 ( 15 ) ( -12 ) 40 - ( 20 ) ( 13
36 9 17 - ( -16 ) - 12 - ( 19 ) ( 13
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( -1 ) ( -1 ) ( 14 ) ( -4 ) 3 - ( 4 ) ( 1
( 10 ) 19 ( 12 ) ( 4 ) ( -76 ) ( -19 ) 6
( 18 ) ( -20 ) ( 2 ) ( -15 ) ( -36 ) ( -12 ) ( 4
14 - 8 - 15 - 1 - 2 - ( -19 ) ( 15
1 - 14 - 0 0 11 - ( -12 ) - 12
( 11 ) 8 - ( -24 ) ( -12 ) 60 ( 15 ) ( 18
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2
3
4 -
- ( -17 ) - ( -12 ) ( -12 ) = - - - - - 4 4 3 4 4
( -14 ) - 72 18 = - - - 3 4 3 4 1
2 68 - 17 = - - 2 4 2 3 3
11 2 ( -2 ) = - - - 4 3 4 4 2
0 - ( -52 ) - ( -13 ) = - - - - 4 3 3 4 1
18 ( 1 ) 9 = 2 3 2 3 1
( -3 ) - ( 8 ) 7 = - 3 3 1 3 2
- 8 ( 17 ) ( -9 ) = - - - 1 4 3 4 4
1 - ( 9 ) 14 = - 2 3 3 3 1
20 - 9 - 0 = - - - - - 3 4 4 4 2
12 ( 16 ) 11 = - - 4 3 2 4 2
- ( -17 ) - 19 - ( -14 ) = - - - - - 1 4 1 4 4
10 - 38 - 19 = - - - - - 2 4 4 4 3
( -3 ) - 2 - ( -10 ) = - - - - 4 4 2 3 1
( -10 ) - ( -8 ) - ( -4 ) = - - - - - 4 4 4 3 3
( -18 ) ( 12 ) ( -11 ) = - - - 2 4 4 4 1
( -4 ) - ( 19 ) ( -11 ) = - - - 4 4 3 3 2
( -5 ) ( 1 ) ( -10 ) = - - 1 3 4 4 3
9 - ( 13 ) 8 = - - - 2 3 4 4 2
17 ( 10 ) 12 = - 3 4 2 3 1
12 ( 14 ) ( -1 ) = - 2 3 4 3 3
- 19 14 - 18 = - - - 3 4 2 3 4
( -6 ) ( 1 ) ( -17 ) = - - - 4 4 4 3 1
3 - 19 - ( -15 ) = - - 3 3 3 3 2
- ( -1 ) 36 - 12 = - - - - 4 3 4 3 4
3 - ( 19 ) 5 = - - 3 3 1 4 1
- 8 ( 13 ) ( -3 ) = - 1 3 3 3 4
- 1 ( 8 ) ( -13 ) = - - 1 3 1 4 4
- ( -17 ) - 27 9 = - - 2 3 2 3 4
- 17 ( 3 ) ( -7 ) = - - - - 4 4 3 4 4
- 12 2 - ( -4 ) = - - - - 1 4 1 4 4
- ( -14 ) - ( 9 ) 4 = - - - 1 3 2 4 4
- 2 - 10 15 = - - - - 2 4 1 4 4
( -8 ) ( 11 ) 11 = - 3 3 4 3 3 20 ( 12 ) ( -4 ) = 3 3 2 3 3
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- ( -11 ) ( 15 ) 4 = - - - 4 3 1 4 4
( -14 ) - 6 6 = - - - - 4 4 3 4 2
- ( -15 ) - 10 - 9 = - - - - - - 4 3 4 4 4
( -1 ) - 15 - 18 = - - - 1 3 3 4 2
17 - 16 - 4 = - - 3 3 1 3 2
20 ( 2 ) 0 = - - - 4 4 4 3 2
( -13 ) - ( 8 ) ( -7 ) = - - 3 3 3 4 1
10 - ( -8 ) ( -2 ) = - - 3 4 1 3 2
11 ( 16 ) 9 = - 4 3 1 3 2
15 ( 17 ) ( -2 ) = - 2 3 4 3 3
( -15 ) - 2 ( -14 ) = - - 3 3 3 4 3
18 - 16 - 1 = - - - 3 3 4 3 2
3 ( 3 ) ( -3 ) = - - 3 3 4 4 2
16 - ( 19 ) 9 = - - - 3 4 4 3 2
6 - ( 3 ) 1 = - - 2 3 2 4 3
- ( -17 ) - ( 8 ) ( -8 ) = - - - - 2 3 4 4 4
( -2 ) - ( 10 ) 16 = - - 3 4 3 3 3
18 - 1 1 = - - 3 3 2 4 3 5 - ( 5 ) 18 = - 3 3 2 3 2
( -7 ) - 9 ( -1 ) = - - 3 3 3 4 3
5 - 17 - ( -10 ) = - - 1 3 1 3 2
( -7 ) ( -45 ) ( -15 ) = - 1 3 2 4 1
( -9 ) ( 5 ) 14 = - 4 3 1 3 3
( -8 ) ( 10 ) ( -9 ) = 2 3 2 3 3
5 - ( 9 ) 9 = - - - 4 3 4 3 1
8 ( 9 ) 18 = - - 3 3 4 4 1
- ( -14 ) ( 2 ) 2 = - - - 4 3 2 4 4
- 14 - 9 - ( -15 ) = - - - - - 1 4 3 4 4
( -8 ) 12 - 0 = - - - - 4 4 1 4 1
4 16 - ( -3 ) = - - - 2 4 4 3 2
6 - ( 16 ) 3 = - 2 3 1 3 3
- 7 57 - 19 = - - 3 3 2 3 4
0 16 - 8 = - - - 1 4 3 4 2
( -11 ) - ( -40 ) ( -20 ) = - - - 4 4 3 3 1
( -17 ) ( 11 ) ( -19 ) = - 2 4 2 3 3
6 - ( 20 ) 13 = - 3 3 1 3 3
( -2 ) 8 6 = 1 3 3 3 3
13 - ( 17 ) 20 = - - 4 3 2 3 1
- ( -3 ) ( 12 ) ( -19 ) = - - - 2 4 4 3 4 ( -18 ) - ( 10 ) 12 = - - - 4 4 1 3 2
( -10 ) ( 9 ) 16 = - 2 3 4 3 1
- 4 57 - 19 = - - - 3 3 1 4 4
11 - ( 19 ) 12 = - - 1 4 2 3 3
( -16 ) 20 10 = - 3 3 4 3 3
( -4 ) - ( -6 ) ( -2 ) = - 1 3 1 3 1
- 19 - ( 15 ) ( -13 ) = - - 3 3 3 3 4
1 ( 5 ) 5 = - - 2 4 1 4 1
( -11 ) - 20 10 = - 3 3 3 3 1
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5 ( 12 ) ( -15 ) = - - - 3 4 4 4 2
19 19 ( -11 ) = - 3 4 2 3 3
( -20 ) - ( 6 ) ( -16 ) = - - 2 3 1 4 3
18 - 8 - 8 = - - - - 3 4 3 4 1
( -17 ) - ( 10 ) ( -16 ) = - - - - - 4 4 4 4 3
12 28 14 = - 2 3 4 3 3
( -9 ) - 0 - 0 = - - - - 2 3 4 4 3
5 ( 11 ) ( -1 ) = - 3 4 2 3 1 0 - 12 - 20 = - - - 4 3 1 3 1
13 - ( 8 ) ( -16 ) = - - 1 4 2 3 2
10 - 5 14 = - - - 2 4 4 3 1
3 - ( 19 ) 9 = - - - 1 3 4 4 1
7 - ( 9 ) 7 = - - 2 3 1 4 3
( -8 ) ( -12 ) - ( -3 ) = - - 4 3 3 3 3
20 ( 6 ) ( -18 ) = 3 3 1 3 1
( -4 ) - ( -11 ) ( -11 ) = - - - 4 3 3 4 3
( -4 ) - 4 - ( -14 ) = - - - - - 4 4 1 4 2
11 5 - 19 = - - 3 3 2 4 3
11 - ( 9 ) 9 = - - 2 4 2 3 1
17 - ( 3 ) ( -7 ) = - 3 3 1 3 1
- ( -11 ) ( 8 ) ( -18 ) = - - 2 4 1 3 4
2 - 0 - 0 = - - - - - 1 4 4 4 1
14 - ( 16 ) 2 = - - 2 3 4 3 2
19 ( 12 ) 7 = - 1 4 2 3 1
- 18 - ( 9 ) 8 = - - - - 1 4 4 3 4
0 2 2 = - - 1 3 4 4 1
5 ( -3 ) - ( -1 ) = - - - 3 4 2 4 2
- ( -8 ) - 16 5 = - - - - 4 4 2 3 4
15 ( 11 ) 17 = - - 1 3 4 4 2 ( -15 ) 18 ( -18 ) = - - 4 3 2 4 2
- 8 - 13 ( -3 ) = - - - 1 3 4 3 4
7 - ( 5 ) 11 = - - 3 4 3 3 1
7 - 5 - 5 = - - - - 3 4 2 4 3
- ( -17 ) 3 - 11 = - - 1 3 3 3 4
- ( -2 ) ( 6 ) 11 = - - - - 4 4 3 4 4
- ( -7 ) - 14 3 = - - - - 2 3 4 4 4
( -1 ) - ( 13 ) 9 = - - - 1 3 4 4 1
7 - ( 3 ) ( -13 ) = - - 1 3 1 4 2
8 10 - 20 = - - - - 4 4 2 4 2
( -1 ) - ( 14 ) 9 = - - - 3 4 4 3 3
- 14 - 10 - ( -15 ) = - - - - - 4 3 1 4 4
- 10 ( 2 ) ( -13 ) = - - 1 3 4 3 4
( -1 ) - ( 9 ) 13 = - - - 1 4 2 4 2
16 - 18 9 = - - - 4 4 1 3 3
3 ( 18 ) ( -17 ) = 1 3 2 3 2
- ( -5 ) 4 16 = - - - 2 4 2 4 4
8 18 15 = - 4 3 1 3 2
( -4 ) 9 - 9 = - - - 3 4 2 4 3
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11 - 8 ( -3 ) = - 3 3 1 3 3
( -18 ) - ( 1 ) 7 = - - 3 3 1 4 1
- 6 - ( 14 ) 11 = - - 1 3 1 3 4
16 15 5 = - - 1 4 2 4 1
( -18 ) - ( 15 ) ( -5 ) = - - - 3 4 3 4 1
0 - 12 4 = - 3 3 2 3 2
11 - ( 12 ) 17 = - - 1 4 1 3 1
14 - ( 12 ) 11 = - - 2 3 2 4 3- ( -12 ) ( 5 ) 0 = - 3 3 2 3 4
18 - ( 6 ) 6 = - - - - 4 4 4 3 1
11 - 5 - ( -2 ) = - - - - - 4 4 4 3 1
( -15 ) 16 - ( -19 ) = - - - 1 4 1 4 3
( -7 ) ( -4 ) - ( -4 ) = - - 3 3 1 4 3
( -15 ) 18 ( -18 ) = - - 2 4 3 4 1
( -19 ) 9 2 = - 3 3 2 4 2
15 - 3 - 12 = - - - 3 4 2 3 3
15 ( 11 ) 14 = - - - - 4 4 4 4 2
( -5 ) - 80 20 = - - - 3 4 2 4 3
18 - 12 ( -14 ) = - - 1 4 2 3 1
8 4 20 = - 3 3 3 4 2
( -12 ) - ( -7 ) - ( -7 ) = - - - - 1 4 2 4 1
( -9 ) 30 - 15 = - - - 3 3 4 4 3
6 - ( 16 ) 4 = - - - 4 4 1 3 3
7 12 5 = - 2 3 3 4 1
( -8 ) ( 12 ) ( -16 ) = - - 2 4 3 4 3
1 - ( 9 ) ( -15 ) = - - - 2 4 2 4 1
12 ( -36 ) ( -12 ) = 1 3 2 3 1
9 ( 16 ) 2 = - 1 4 2 3 1
( -3 ) ( 18 ) ( -3 ) = - - 1 4 1 4 3- 7 ( 17 ) ( -18 ) = - 2 3 3 3 4
13 44 - 11 = - - 3 3 3 4 3
13 - ( 17 ) ( -15 ) = - - 3 3 4 3 3
- ( -19 ) - ( 8 ) ( -13 ) = - - - - - - 4 4 4 4 4
3 ( -15 ) ( -15 ) = - 1 4 3 3 2
( -14 ) - ( 19 ) 12 = - - - 4 3 4 3 2
( -10 ) 7 ( -9 ) = - - 2 4 4 3 1
11 - ( 15 ) 5 = - - 1 4 1 3 3
1 - ( 5 ) 2 = - - - - - 4 4 4 4 3
- 16 11 ( -3 ) = - - - 4 3 1 4 4
( -5 ) ( 8 ) 17 = - 2 4 1 3 3
2 - ( 14 ) 7 = - - 3 3 1 4 2
( -9 ) - ( -6 ) ( -2 ) = - - - 2 4 3 4 3
( -9 ) ( 6 ) ( -16 ) = 3 3 2 3 1
9 - ( 5 ) 16 = - - - 1 4 2 4 3
- 12 - ( 12 ) 20 = - - 3 3 1 3 4
11 - ( 12 ) ( -2 ) = - - 3 3 4 3 1
6 ( 10 ) 2 = - 2 3 1 4 2
7 - 15 - 0 = - - - - 3 3 4 4 2
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5 - ( 18 ) 10 = - - 3 3 2 4 2
2 - ( 2 ) ( -12 ) = - 1 3 2 3 3
( -19 ) ( 19 ) ( -16 ) = 1 3 1 3 1
16 14 - ( -18 ) = - - - - - 4 4 4 4 2
- ( -13 ) ( 11 ) 16 = - - - - 4 4 3 4 4
( -20 ) ( 19 ) ( -14 ) = - 1 4 3 3 2
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4 2
4 3
3 4
3 3
4 4
3 2
4 1
3 1
4 2
4 4
3 2
4 4
4 4
4 4
4 4
3 1
4 2
3 1
4 2
3 2
3 1
3 4
3 2
4 4
3 4
4 1
3 2
3 2
4 3
3 2
3 4
4 2
4 3
3 2
3 2
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3 1
4 3
4 4
4 4
4 4
3 2
4 2
4 3
3 1
3 2
4 3
4 4
3 1
4 1
4 2
4 2
4 2
4 34 1
4 3
4 4
3 3
3 1
3 1
4 2
3 1
3 1
4 4
3 4
3 4
4 1
3 4
3 4
4 3
3 2
4 1
3 3
4 2
3 24 2
3 2
3 4
4 1
3 3
4 3
4 2
3 2
4 3
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3 1
3 3
4 1
4 4
4 1
3 3
4 4
3 14 4
4 2
4 3
4 2
4 2
3 4
3 2
4 3
4 4
3 4
4 1
4 2
3 2
4 4
4 2
3 1
4 1
3 3
3 4
4 3
3 23 3
4 3
4 2
4 4
3 4
3 2
4 3
4 1
4 1
3 4
4 2
4 4
3 1
4 1
4 3
3 2
3 3
3 3
3 4
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4 3
4 2
4 2
3 3
4 2
4 3
4 1
4 13 1
4 1
4 4
3 4
3 4
3 3
3 3
4 4
3 1
4 3
4 3
3 3
4 4
3 4
4 1
3 3
3 1
4 2
3 3
3 1
3 13 2
3 4
4 1
4 2
3 3
4 1
3 3
4 1
4 1
3 3
3 2
4 2
4 3
3 1
4 2
4 1
4 2
3 2
4 4
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4 1
4 1
3 1
3 4
3 2
3 1