Optimal encoder and encoding method for dual stream system

Information

  • Patent Grant
  • 8050346
  • Patent Number
    8,050,346
  • Date Filed
    Wednesday, July 19, 2006
    18 years ago
  • Date Issued
    Tuesday, November 1, 2011
    13 years ago
Abstract
Provided are a method of estimating an encoder for dual stream transmission, and an encoder using the same. The method includes the steps of: a) setting up the number of memories required for an encoder, a free distance condition for robust data, and a free distance condition for mixed stream of robust data and normal data; b) obtaining ½ rate encoder combinations that sustain backward compatibility with a typical trellis encoder; c) obtaining encoder combinations H that satisfy the free distance condition for the robust data and the free distance condition for the mixed stream from the ½ rate encoder combinations; d) obtaining relations between memories and input/output signals, which satisfy the encoder combinations H; and e) configuring an encoder according to the obtained relation between the memories and the input/output signals.
Description
TECHNICAL FIELD

The present invention relates to a trellis coded modulation (TCM); and more particularly, to a TCM encoder estimating method for transmitting dual stream and an optimal encoder using the same.


BACKGROUND ART

Trellis coded modulation (TCM) is a modulation scheme designed through combining an encoding scheme and a modulation scheme, which improves transmission efficiency while minimizing the loss of a frequency width. Dual stream transmission scheme is a transmission scheme for improving transmission efficiency while sustaining backward compatibility with a conventional encoding scheme. That is, the dual stream transmission scheme transmit data stream by interposing a stream encoded by a code having a superior code gain compared to a conventional coding scheme.


Although a TCM encoder using a single stream was introduced, a TCM encoder for dual stream is not developed yet.


DISCLOSURE
Technical Problem

It is, therefore, an object of the present invention to provide a method for estimating an optimal ½ rate encoder and an optimal ¼ rate encoder for a dual stream transmission scheme that is introduced to improve a performance for a standard 8-VSB, and an encoder using the same.


Technical Solution

In accordance with one aspect of the present invention, there is provided a method of estimating an encoder for dual stream transmission, including the steps of: a) setting up the number of memories required for an encoder, a free distance condition for robust data, and a free distance condition for mixed stream of robust data and normal data; b) obtaining ½ rate encoder combinations that sustain backward compatibility with a conventional trellis encoder; c) obtaining encoder combinations H that satisfy the free distance condition for the robust data and the free distance condition for the mixed stream from the ½ rate encoder combinations; d) obtaining relations between memories and input/output signals, which satisfy the encoder combinations H; and e) configuring an encoder according to the obtained relation between the memories and the input/output signals.


In accordance with another aspect of the present invention, there is provided an encoder for dual stream transmission including: an input terminal; three output terminals; and four memories connected to the input terminal and the output terminals to satisfy an equation:







[




st
4






st
3






st
2






st
1






ot
2






ot
1






ot
0




]

=


[




h
6

(
4
)





h
6

(
3
)





h
6

(
2
)





h
6

(
1
)





h
6

(
0
)







h
5

(
4
)





h
5

(
3
)





h
5

(
2
)





h
5

(
1
)





h
5

(
0
)







h
4

(
4
)





h
4

(
3
)





h
4

(
2
)





h
4

(
1
)





h
4

(
0
)







h
3

(
4
)





h
3

(
3
)





h
3

(
2
)





h
3

(
1
)





h
3

(
0
)







h
2

(
4
)





h
2

(
3
)





h
2

(
2
)





h
2

(
1
)





h
2

(
0
)







h
1

(
4
)





h
1

(
3
)





h
1

(
2
)





h
1

(
1
)





h
1

(
0
)







h
0

(
4
)





h
0

(
3
)





h
0

(
2
)





h
0

(
1
)





h
0

(
0
)





]



[



in





st
4






st
3






st
2






st
1




]






where st4, st3, st2, and st1 denote states of memories, ot2, ot1 and ot0 denote outputs of an encoder, in denotes an input of encoder, and hj is an octal number.


Advantageous Effects

The method for estimating an encoder for dual stream transmission and an encoder using the same according to the present invention reduce a signal-to-noise ratio (SNR) that satisfies a threshold of visibility (TOV) by improving the receiving performance for normal data as well as robust stream.





DESCRIPTION OF DRAWINGS

The above and other objects and features of the present invention will become apparent from the following description of the preferred embodiments given in conjunction with the accompanying drawings, in which:



FIG. 1 is a flowchart of a method for estimating a TCM encoder in accordance with the present invention;



FIG. 2 shows a typical trellis encoder;



FIG. 3 is a block diagram showing an encoder having an enhanced encoding unit;



FIGS. 4 and 5 are views for estimating an encoding structure from encoder combinations H in Table 1;



FIG. 6 is a block diagram showing a dual stream transmission encoder with an encoder shown in FIG. 5;



FIG. 7 is a block diagram showing a ¼ rate encoder in accordance with an embodiment of the present invention;



FIG. 8 is a view showing a typical convolution encoder; and



FIG. 9 is a diagram illustrating an encoder having the largest free distance, for example, 692, for a robust stream among encoder combinations described in Table 4.





BEST MODE FOR THE INVENTION

Other objects and aspects of the invention will become apparent from the following description of the embodiments with reference to the accompanying drawings, which is set forth hereinafter.



FIG. 1 is a flowchart of a TCM encoder estimating method in accordance with the present invention. Herein, encoder estimation is a process for obtaining a relational equation between memories and input/output signals to satisfy a predetermined condition and configuring an encoder to satisfy the obtained relational equation in order to design a TCM encoder for dual stream transmission.


Referring to FIG. 1, in order to estimate an encoder, a free distance condition for robust stream or robust data and a free distance condition for mixed stream composed of normal stream or normal data and robust stream or robust data are set-up at step S100. In the present embodiment, an encoder is configured to have 16 states of a lattice diagram for decoding by including four memories.


At step S120, it obtains a ½ rate encoder combination h that satisfies Eq. 1 and sustains backward compatibility with a conventional encoder. In Eq. 1, st4, st3, st2, and st1 denote the states of the memories, ot2, ot1, and ot0 denote the outputs of the encoder, and the input of the encoder is in.










[




st
4






st
3






st
2






st
1






ot
2






ot
1






ot
0




]

=


[




h
6

(
4
)





h
6

(
3
)





h
6

(
2
)





h
6

(
1
)





h
6

(
0
)







h
5

(
4
)





h
5

(
3
)





h
5

(
2
)





h
5

(
1
)





h
5

(
0
)







h
4

(
4
)





h
4

(
3
)





h
4

(
2
)





h
4

(
1
)





h
4

(
0
)







h
3

(
4
)





h
3

(
3
)





h
3

(
2
)





h
3

(
1
)





h
3

(
0
)







h
2

(
4
)





h
2

(
3
)





h
2

(
2
)





h
2

(
1
)





h
2

(
0
)







h
1

(
4
)





h
1

(
3
)





h
1

(
2
)





h
1

(
1
)





h
1

(
0
)







h
0

(
4
)





h
0

(
3
)





h
0

(
2
)





h
0

(
1
)





h
0

(
0
)





]



[



in





st
4






st
3






st
2






st
1




]






Eq
.




1







Herein, the conventional encoder is a typical trellis encoder shown in FIG. 2. In order to sustain the backward compatibility with the encoder shown in FIG. 2, the encoder according to the present embodiment includes an enhanced encoder 10 disposed front of a free coding block 20 and a trellis encoding block as shown in FIG. 3 with a free coding block and a trellis encoding block shown in FIG. 2 fixed. An encoder in ‘½ rate encoder’ or ‘encoding combinations’ denotes the enhanced coder 10.


In Eq. 1, all of the operations are a modulo 2 operation, simply,







h
i

=



j




h
j

(
j
)





2
j

.








When hj is expressed as octal numbers, hj must be fixed as h4=1, h3=6, and h0=1 in order to sustain the backward compatibility with the conventional encoder. Therefore, a ½ rate encoder that sustains the backward compatibility with the conventional encoder is estimated using h=[h6, h5, h2, h0] with h4, h3, and h1 cancelled. Herein, the ½ rate encoder means that one symbol transmits one bit data.


After calculating the encoder combinations h at step S120, it obtains encoder combinations H that satisfy a free distance condition for robust data and another free distance condition for mixed stream of robust data and normal data from the encoder combinations h. In the present embodiment, the free distance condition R for the robust stream is setup as 164 and 168, and the free distance condition R+N for the mixed stream of the normal steam and the robust stream is setup as a below Table 1.


Table 1 shows 2688 optimal ½ rate encoders H, where R denotes a free distance for a robust stream and R+N denotes a free distance for a robust stream and a normal stream.













TABLE 1









h = [2 20 24 15]
R: 164
R + N: 44



h = [2 20 27 14]
R: 164
R + N: 44



h = [2 20 31 4]
R: 164
R + N: 44



h = [2 20 31 15]
R: 164
R + N: 44



h = [2 20 33 5]
R: 164
R + N: 44



h = [2 20 33 14]
R: 164
R + N: 44



h = [2 20 35 4]
R: 164
R + N: 44



h = [2 20 36 5]
R: 164
R + N: 44



h = [2 21 25 15]
R: 164
R + N: 44



h = [2 21 26 14]
R: 164
R + N: 44



h = [2 21 30 4]
R: 164
R + N: 44



h = [2 21 30 15]
R: 164
R + N: 44



h = [2 21 32 5]
R: 164
R + N: 44



h = [2 21 32 14]
R: 164
R + N: 44



h = [2 21 34 4]
R: 164
R + N: 44



h = [2 21 37 5]
R: 164
R + N: 44



h = [2 22 25 14]
R: 164
R + N: 44



h = [2 22 26 15]
R: 164
R + N: 44



h = [2 22 31 5]
R: 164
R + N: 44



h = [2 22 31 14]
R: 164
R + N: 44



h = [2 22 33 4]
R: 164
R + N: 44



h = [2 22 33 15]
R: 164
R + N: 44



h = [2 22 34 5]
R: 164
R + N: 44



h = [2 22 37 4]
R: 164
R + N: 44



h = [2 23 24 14]
R: 164
R + N: 44



h = [2 23 27 15]
R: 164
R + N: 44



h = [2 23 30 5]
R: 164
R + N: 44



h = [2 23 30 14]
R: 164
R + N: 44



h = [2 23 32 4]
R: 164
R + N: 44



h = [2 23 32 15]
R: 164
R + N: 44



h = [2 23 35 5]
R: 164
R + N: 44



h = [2 23 36 4]
R: 164
R + N: 44



h = [2 24 20 15]
R: 164
R + N: 44



h = [2 24 23 14]
R: 164
R + N: 44



h = [2 24 31 4]
R: 164
R + N: 44



h = [2 24 32 5]
R: 164
R + N: 44



h = [2 24 35 4]
R: 164
R + N: 44



h = [2 24 35 15]
R: 164
R + N: 44



h = [2 24 37 5]
R: 164
R + N: 44



h = [2 24 37 14]
R: 164
R + N: 44



h = [2 25 21 15]
R: 164
R + N: 44



h = [2 25 22 14]
R: 164
R + N: 44



h = [2 25 30 4]
R: 164
R + N: 44



h = [2 25 33 5]
R: 164
R + N: 44



h = [2 25 34 4]
R: 164
R + N: 44



h = [2 25 34 15]
R: 164
R + N: 44



h = [2 25 36 5]
R: 164
R + N: 44



h = [2 25 36 14]
R: 164
R + N: 44



h = [2 26 21 14]
R: 164
R + N: 44



h = [2 26 22 15]
R: 164
R + N: 44



h = [2 26 30 5]
R: 164
R + N: 44



h = [2 26 33 4]
R: 164
R + N: 44



h = [2 26 35 5]
R: 164
R + N: 44



h = [2 26 35 14]
R: 164
R + N: 44



h = [2 26 37 4]
R: 164
R + N: 44



h = [2 26 37 15]
R: 164
R + N: 44



h = [2 27 20 14]
R: 164
R + N: 44



h = [2 27 23 15]
R: 164
R + N: 44



h = [2 27 31 5]
R: 164
R + N: 44



h = [2 27 32 4]
R: 164
R + N: 44



h = [2 27 34 5]
R: 164
R + N: 44



h = [2 27 34 14]
R: 164
R + N: 44



h = [2 27 36 4]
R: 164
R + N: 44



h = [2 27 36 15]
R: 164
R + N: 44



h = [2 30 21 4]
R: 164
R + N: 44



h = [2 30 21 15]
R: 164
R + N: 44



h = [2 30 23 5]
R: 164
R + N: 44



h = [2 30 23 14]
R: 164
R + N: 44



h = [2 30 25 4]
R: 164
R + N: 44



h = [2 30 26 5]
R: 164
R + N: 44



h = [2 30 34 15]
R: 164
R + N: 44



h = [2 30 37 14]
R: 164
R + N: 44



h = [2 31 20 4]
R: 164
R + N: 44



h = [2 31 20 15]
R: 164
R + N: 44



h = [2 31 22 5]
R: 164
R + N: 44



h = [2 31 22 14]
R: 164
R + N: 44



h = [2 31 24 4]
R: 164
R + N: 44



h = [2 31 27 5]
R: 164
R + N: 44



h = [2 31 35 15]
R: 164
R + N: 44



h = [2 31 36 14]
R: 164
R + N: 44



h = [2 32 21 5]
R: 164
R + N: 44



h = [2 32 21 14]
R: 164
R + N: 44



h = [2 32 23 4]
R: 164
R + N: 44



h = [2 32 23 15]
R: 164
R + N: 44



h = [2 32 24 5]
R: 164
R + N: 44



h = [2 32 27 4]
R: 164
R + N: 44



h = [2 32 35 14]
R: 164
R + N: 44



h = [2 32 36 15]
R: 164
R + N: 44



h = [2 33 20 5]
R: 164
R + N: 44



h = [2 33 20 14]
R: 164
R + N: 44



h = [2 33 22 4]
R: 164
R + N: 44



h = [2 33 22 15]
R: 164
R + N: 44



h = [2 33 25 5]
R: 164
R + N: 44



h = [2 33 26 4]
R: 164
R + N: 44



h = [2 33 34 14]
R: 164
R + N: 44



h = [2 33 37 15]
R: 164
R + N: 44



h = [2 34 21 4]
R: 164
R + N: 44



h = [2 34 22 5]
R: 164
R + N: 44



h = [2 34 25 4]
R: 164
R + N: 44



h = [2 34 25 15]
R: 164
R + N: 44



h = [2 34 27 5]
R: 164
R + N: 44



h = [2 34 27 14]
R: 164
R + N: 44



h = [2 34 30 15]
R: 164
R + N: 44



h = [2 34 33 14]
R: 164
R + N: 44



h = [2 35 20 4]
R: 164
R + N: 44



h = [2 35 23 5]
R: 164
R + N: 44



h = [2 35 24 4]
R: 164
R + N: 44



h = [2 35 24 15]
R: 164
R + N: 44



h = [2 35 26 5]
R: 164
R + N: 44



h = [2 35 26 14]
R: 164
R + N: 44



h = [2 35 31 15]
R: 164
R + N: 44



h = [2 35 32 14]
R: 164
R + N: 44



h = [2 36 20 5]
R: 164
R + N: 44



h = [2 36 23 4]
R: 164
R + N: 44



h = [2 36 25 5]
R: 164
R + N: 44



h = [2 36 25 14]
R: 164
R + N: 44



h = [2 36 27 4]
R: 164
R + N: 44



h = [2 36 27 15]
R: 164
R + N: 44



h = [2 36 31 14]
R: 164
R + N: 44



h = [2 36 32 15]
R: 164
R + N: 44



h = [2 37 21 5]
R: 164
R + N: 44



h = [2 37 22 4]
R: 164
R + N: 44



h = [2 37 24 5]
R: 164
R + N: 44



h = [2 37 24 14]
R: 164
R + N: 44



h = [2 37 26 4]
R: 164
R + N: 44



h = [2 37 26 15]
R: 164
R + N: 44



h = [2 37 30 14]
R: 164
R + N: 44



h = [2 37 33 15]
R: 164
R + N: 44



h = [3 20 24 17]
R: 164
R + N: 56



h = [3 20 26 16]
R: 168
R + N: 48



h = [3 20 27 16]
R: 164
R + N: 48



h = [3 20 27 17]
R: 168
R + N: 56



h = [3 20 30 7]
R: 164
R + N: 56



h = [3 20 30 16]
R: 168
R + N: 48



h = [3 20 30 17]
R: 168
R + N: 56



h = [3 20 31 16]
R: 164
R + N: 48



h = [3 20 32 6]
R: 164
R + N: 48



h = [3 20 33 6]
R: 168
R + N: 48



h = [3 20 33 7]
R: 168
R + N: 56



h = [3 20 33 17]
R: 164
R + N: 56



h = [3 20 34 6]
R: 164
R + N: 48



h = [3 20 34 7]
R: 168
R + N: 56



h = [3 20 35 6]
R: 168
R + N: 48



h = [3 20 37 7]
R: 164
R + N: 56



h = [3 21 25 17]
R: 164
R + N: 56



h = [3 21 26 16]
R: 164
R + N: 48



h = [3 21 26 17]
R: 168
R + N: 56



h = [3 21 27 16]
R: 168
R + N: 48



h = [3 21 30 16]
R: 164
R + N: 48



h = [3 21 31 7]
R: 164
R + N: 56



h = [3 21 31 16]
R: 168
R + N: 48



h = [3 21 31 17]
R: 168
R + N: 56



h = [3 21 32 6]
R: 168
R + N: 48



h = [3 21 32 7]
R: 168
R + N: 56



h = [3 21 32 17]
R: 164
R + N: 56



h = [3 21 33 6]
R: 164
R + N: 48



h = [3 21 34 6]
R: 168
R + N: 48



h = [3 21 35 6]
R: 164
R + N: 48



h = [3 21 35 7]
R: 168
R + N: 56



h = [3 21 36 7]
R: 164
R + N: 56



h = [3 22 24 16]
R: 168
R + N: 48



h = [3 22 25 16]
R: 164
R + N: 48



h = [3 22 25 17]
R: 168
R + N: 56



h = [3 22 26 17]
R: 164
R + N: 56



h = [3 22 30 6]
R: 164
R + N: 48



h = [3 22 31 6]
R: 168
R + N: 48



h = [3 22 31 7]
R: 168
R + N: 56



h = [3 22 31 17]
R: 164
R + N: 56



h = [3 22 32 7]
R: 164
R + N: 56



h = [3 22 32 16]
R: 168
R + N: 48



h = [3 22 32 17]
R: 168
R + N: 56



h = [3 22 33 16]
R: 164
R + N: 48



h = [3 22 35 7]
R: 164
R + N: 56



h = [3 22 36 6]
R: 164
R + N: 48



h = [3 22 36 7]
R: 168
R + N: 56



h = [3 22 37 6]
R: 168
R + N: 48



h = [3 23 24 16]
R: 164
R + N: 48



h = [3 23 24 17]
R: 168
R + N: 56



h = [3 23 25 16]
R: 168
R + N: 48



h = [3 23 27 17]
R: 164
R + N: 56



h = [3 23 30 6]
R: 168
R + N: 48



h = [3 23 30 7]
R: 168
R + N: 56



h = [3 23 30 17]
R: 164
R + N: 56



h = [3 23 31 6]
R: 164
R + N: 48



h = [3 23 32 16]
R: 164
R + N: 48



h = [3 23 33 7]
R: 164
R + N: 56



h = [3 23 33 16]
R: 168
R + N: 48



h = [3 23 33 17]
R: 168
R + N: 56



h = [3 23 34 7]
R: 164
R + N: 56



h = [3 23 36 6]
R: 168
R + N: 48



h = [3 23 37 6]
R: 164
R + N: 48



h = [3 23 37 7]
R: 168
R + N: 56



h = [3 24 20 17]
R: 164
R + N: 56



h = [3 24 22 16]
R: 168
R + N: 48



h = [3 24 23 16]
R: 164
R + N: 48



h = [3 24 23 17]
R: 168
R + N: 56



h = [3 24 30 6]
R: 164
R + N: 48



h = [3 24 30 7]
R: 168
R + N: 56



h = [3 24 31 6]
R: 168
R + N: 48



h = [3 24 33 7]
R: 164
R + N: 56



h = [3 24 34 7]
R: 164
R + N: 56



h = [3 24 34 16]
R: 168
R + N: 48



h = [3 24 34 17]
R: 168
R + N: 56



h = [3 24 35 16]
R: 164
R + N: 48



h = [3 24 36 6]
R: 164
R + N: 48



h = [3 24 37 6]
R: 168
R + N: 48



h = [3 24 37 7]
R: 168
R + N: 56



h = [3 24 37 17]
R: 164
R + N: 56



h = [3 25 21 17]
R: 164
R + N: 56



h = [3 25 22 16]
R: 164
R + N: 48



h = [3 25 22 17]
R: 168
R + N: 56



h = [3 25 23 16]
R: 168
R + N: 48



h = [3 25 30 6]
R: 168
R + N: 48



h = [3 25 31 6]
R: 164
R + N: 48



h = [3 25 31 7]
R: 168
R + N: 56



h = [3 25 32 7]
R: 164
R + N: 56



h = [3 25 34 16]
R: 164
R + N: 48



h = [3 25 35 7]
R: 164
R + N: 56



h = [3 25 35 16]
R: 168
R + N: 48



h = [3 25 35 17]
R: 168
R + N: 56



h = [3 25 36 6]
R: 168
R + N: 48



h = [3 25 36 7]
R: 168
R + N: 56



h = [3 25 36 17]
R: 164
R + N: 56



h = [3 25 37 6]
R: 164
R + N: 48



h = [3 26 20 16]
R: 168
R + N: 48



h = [3 26 21 16]
R: 164
R + N: 48



h = [3 26 21 17]
R: 168
R + N: 56



h = [3 26 22 17]
R: 164
R + N: 56



h = [3 26 31 7]
R: 164
R + N: 56



h = [3 26 32 6]
R: 164
R + N: 48



h = [3 26 32 7]
R: 168
R + N: 56



h = [3 26 33 6]
R: 168
R + N: 48



h = [3 26 34 6]
R: 164
R + N: 48



h = [3 26 35 6]
R: 168
R + N: 48



h = [3 26 35 7]
R: 168
R + N: 56



h = [3 26 35 17]
R: 164
R + N: 56



h = [3 26 36 7]
R: 164
R + N: 56



h = [3 26 36 16]
R: 168
R + N: 48



h = [3 26 36 17]
R: 168
R + N: 56



h = [3 26 37 16]
R: 164
R + N: 48



h = [3 27 20 16]
R: 164
R + N: 48



h = [3 27 20 17]
R: 168
R + N: 56



h = [3 27 21 16]
R: 168
R + N: 48



h = [3 27 23 17]
R: 164
R + N: 56



h = [3 27 30 7]
R: 164
R + N: 56



h = [3 27 32 6]
R: 168
R + N: 48



h = [3 27 33 6]
R: 164
R + N: 48



h = [3 27 33 7]
R: 168
R + N: 56



h = [3 27 34 6]
R: 168
R + N: 48



h = [3 27 34 7]
R: 168
R + N: 56



h = [3 27 34 17]
R: 164
R + N: 56



h = [3 27 35 6]
R: 164
R + N: 48



h = [3 27 36 16]
R: 164
R + N: 48



h = [3 27 37 7]
R: 164
R + N: 56



h = [3 27 37 16]
R: 168
R + N: 48



h = [3 27 37 17]
R: 168
R + N: 56



h = [3 30 20 7]
R: 164
R + N: 56



h = [3 30 20 16]
R: 168
R + N: 48



h = [3 30 20 17]
R: 168
R + N: 56



h = [3 30 21 16]
R: 164
R + N: 48



h = [3 30 22 6]
R: 164
R + N: 48



h = [3 30 23 6]
R: 168
R + N: 48



h = [3 30 23 7]
R: 168
R + N: 56



h = [3 30 23 17]
R: 164
R + N: 56



h = [3 30 24 6]
R: 164
R + N: 48



h = [3 30 24 7]
R: 168
R + N: 56



h = [3 30 25 6]
R: 168
R + N: 48



h = [3 30 27 7]
R: 164
R + N: 56



h = [3 30 34 17]
R: 164
R + N: 56



h = [3 30 36 16]
R: 168
R + N: 48



h = [3 30 37 16]
R: 164
R + N: 48



h = [3 30 37 17]
R: 168
R + N: 56



h = [3 31 20 16]
R: 164
R + N: 48



h = [3 31 21 7]
R: 164
R + N: 56



h = [3 31 21 16]
R: 168
R + N: 48



h = [3 31 21 17]
R: 168
R + N: 56



h = [3 31 22 6]
R: 168
R + N: 48



h = [3 31 22 7]
R: 168
R + N: 56



h = [3 31 22 17]
R: 164
R + N: 56



h = [3 31 23 6]
R: 164
R + N: 48



h = [3 31 24 6]
R: 168
R + N: 48



h = [3 31 25 6]
R: 164
R + N: 48



h = [3 31 25 7]
R: 168
R + N: 56



h = [3 31 26 7]
R: 164
R + N: 56



h = [3 31 35 17]
R: 164
R + N: 56



h = [3 31 36 16]
R: 164
R + N: 48



h = [3 31 36 17]
R: 168
R + N: 56



h = [3 31 37 16]
R: 168
R + N: 48



h = [3 32 20 6]
R: 164
R + N: 48



h = [3 32 21 6]
R: 168
R + N: 48



h = [3 32 21 7]
R: 168
R + N: 56



h = [3 32 21 17]
R: 164
R + N: 56



h = [3 32 22 7]
R: 164
R + N: 56



h = [3 32 22 16]
R: 168
R + N: 48



h = [3 32 22 17]
R: 168
R + N: 56



h = [3 32 23 16]
R: 164
R + N: 48



h = [3 32 25 7]
R: 164
R + N: 56



h = [3 32 26 6]
R: 164
R + N: 48



h = [3 32 26 7]
R: 168
R + N: 56



h = [3 32 27 6]
R: 168
R + N: 48



h = [3 32 34 16]
R: 168
R + N: 48



h = [3 32 35 16]
R: 164
R + N: 48



h = [3 32 35 17]
R: 168
R + N: 56



h = [3 32 36 17]
R: 164
R + N: 56



h = [3 33 20 6]
R: 168
R + N: 48



h = [3 33 20 7]
R: 168
R + N: 56



h = [3 33 20 17]
R: 164
R + N: 56



h = [3 33 21 6]
R: 164
R + N: 48



h = [3 33 22 16]
R: 164
R + N: 48



h = [3 33 23 7]
R: 164
R + N: 56



h = [3 33 23 16]
R: 168
R + N: 48



h = [3 33 23 17]
R: 168
R + N: 56



h = [3 33 24 7]
R: 164
R + N: 56



h = [3 33 26 6]
R: 168
R + N: 48



h = [3 33 27 6]
R: 164
R + N: 48



h = [3 33 27 7]
R: 168
R + N: 56



h = [3 33 34 16]
R: 164
R + N: 48



h = [3 33 34 17]
R: 168
R + N: 56



h = [3 33 35 16]
R: 168
R + N: 48



h = [3 33 37 17]
R: 164
R + N: 56



h = [3 34 20 6]
R: 164
R + N: 48



h = [3 34 20 7]
R: 168
R + N: 56



h = [3 34 21 6]
R: 168
R + N: 48



h = [3 34 23 7]
R: 164
R + N: 56



h = [3 34 24 7]
R: 164
R + N: 56



h = [3 34 24 16]
R: 168
R + N: 48



h = [3 34 24 17]
R: 168
R + N: 56



h = [3 34 25 16]
R: 164
R + N: 48



h = [3 34 26 6]
R: 164
R + N: 48



h = [3 34 27 6]
R: 168
R + N: 48



h = [3 34 27 7]
R: 168
R + N: 56



h = [3 34 27 17]
R: 164
R + N: 56



h = [3 34 30 17]
R: 164
R + N: 56



h = [3 34 32 16]
R: 168
R + N: 48



h = [3 34 33 16]
R: 164
R + N: 48



h = [3 34 33 17]
R: 168
R + N: 56



h = [3 35 20 6]
R: 168
R + N: 48



h = [3 35 21 6]
R: 164
R + N: 48



h = [3 35 21 7]
R: 168
R + N: 56



h = [3 35 22 7]
R: 164
R + N: 56



h = [3 35 24 16]
R: 164
R + N: 48



h = [3 35 25 7]
R: 164
R + N: 56



h = [3 35 25 16]
R: 168
R + N: 48



h = [3 35 25 17]
R: 168
R + N: 56



h = [3 35 26 6]
R: 168
R + N: 48



h = [3 35 26 7]
R: 168
R + N: 56



h = [3 35 26 17]
R: 164
R + N: 56



h = [3 35 27 6]
R: 164
R + N: 48



h = [3 35 31 17]
R: 164
R + N: 56



h = [3 35 32 16]
R: 164
R + N: 48



h = [3 35 32 17]
R: 168
R + N: 56



h = [3 35 33 16]
R: 168
R + N: 48



h = [3 36 21 7]
R: 164
R + N: 56



h = [3 36 22 6]
R: 164
R + N: 48



h = [3 36 22 7]
R: 168
R + N: 56



h = [3 36 23 6]
R: 168
R + N: 48



h = [3 36 24 6]
R: 164
R + N: 48



h = [3 36 25 6]
R: 168
R + N: 48



h = [3 36 25 7]
R: 168
R + N: 56



h = [3 36 25 17]
R: 164
R + N: 56



h = [3 36 26 7]
R: 164
R + N: 56



h = [3 36 26 16]
R: 168
R + N: 48



h = [3 36 26 17]
R: 168
R + N: 56



h = [3 36 27 16]
R: 164
R + N: 48



h = [3 36 30 16]
R: 168
R + N: 48



h = [3 36 31 16]
R: 164
R + N: 48



h = [3 36 31 17]
R: 168
R + N: 56



h = [3 36 32 17]
R: 164
R + N: 56



h = [3 37 20 7]
R: 164
R + N: 56



h = [3 37 22 6]
R: 168
R + N: 48



h = [3 37 23 6]
R: 164
R + N: 48



h = [3 37 23 7]
R: 168
R + N: 56



h = [3 37 24 6]
R: 168
R + N: 48



h = [3 37 24 7]
R: 168
R + N: 56



h = [3 37 24 17]
R: 164
R + N: 56



h = [3 37 25 6]
R: 164
R + N: 48



h = [3 37 26 16]
R: 164
R + N: 48



h = [3 37 27 7]
R: 164
R + N: 56



h = [3 37 27 16]
R: 168
R + N: 48



h = [3 37 27 17]
R: 168
R + N: 56



h = [3 37 30 16]
R: 164
R + N: 48



h = [3 37 30 17]
R: 168
R + N: 56



h = [3 37 31 16]
R: 168
R + N: 48



h = [3 37 33 17]
R: 164
R + N: 56



h = [4 20 30 4]
R: 164
R + N: 44



h = [4 20 32 5]
R: 164
R + N: 48



h = [4 20 34 4]
R: 164
R + N: 44



h = [4 20 37 5]
R: 164
R + N: 48



h = [4 21 31 4]
R: 164
R + N: 44



h = [4 21 33 5]
R: 164
R + N: 48



h = [4 21 35 4]
R: 164
R + N: 44



h = [4 21 36 5]
R: 164
R + N: 48



h = [4 22 30 5]
R: 164
R + N: 48



h = [4 22 32 4]
R: 164
R + N: 44



h = [4 22 35 5]
R: 164
R + N: 48



h = [4 22 36 4]
R: 164
R + N: 44



h = [4 23 31 5]
R: 164
R + N: 48



h = [4 23 33 4]
R: 164
R + N: 44



h = [4 23 34 5]
R: 164
R + N: 48



h = [4 23 37 4]
R: 164
R + N: 44



h = [4 24 30 4]
R: 164
R + N: 44



h = [4 24 33 5]
R: 164
R + N: 48



h = [4 24 34 4]
R: 164
R + N: 44



h = [4 24 36 5]
R: 164
R + N: 48



h = [4 25 31 4]
R: 164
R + N: 44



h = [4 25 32 5]
R: 164
R + N: 48



h = [4 25 35 4]
R: 164
R + N: 44



h = [4 25 37 5]
R: 164
R + N: 48



h = [4 26 31 5]
R: 164
R + N: 48



h = [4 26 32 4]
R: 164
R + N: 44



h = [4 26 34 5]
R: 164
R + N: 48



h = [4 26 36 4]
R: 164
R + N: 44



h = [4 27 30 5]
R: 164
R + N: 48



h = [4 27 33 4]
R: 164
R + N: 44



h = [4 27 35 5]
R: 164
R + N: 48



h = [4 27 37 4]
R: 164
R + N: 44



h = [4 30 20 4]
R: 164
R + N: 44



h = [4 30 22 5]
R: 164
R + N: 48



h = [4 30 24 4]
R: 164
R + N: 44



h = [4 30 27 5]
R: 164
R + N: 48



h = [4 31 21 4]
R: 164
R + N: 44



h = [4 31 23 5]
R: 164
R + N: 48



h = [4 31 25 4]
R: 164
R + N: 44



h = [4 31 26 5]
R: 164
R + N: 48



h = [4 32 20 5]
R: 164
R + N: 48



h = [4 32 22 4]
R: 164
R + N: 44



h = [4 32 25 5]
R: 164
R + N: 48



h = [4 32 26 4]
R: 164
R + N: 44



h = [4 33 21 5]
R: 164
R + N: 48



h = [4 33 23 4]
R: 164
R + N: 44



h = [4 33 24 5]
R: 164
R + N: 48



h = [4 33 27 4]
R: 164
R + N: 44



h = [4 34 20 4]
R: 164
R + N: 44



h = [4 34 23 5]
R: 164
R + N: 48



h = [4 34 24 4]
R: 164
R + N: 44



h = [4 34 26 5]
R: 164
R + N: 48



h = [4 35 21 4]
R: 164
R + N: 44



h = [4 35 22 5]
R: 164
R + N: 48



h = [4 35 25 4]
R: 164
R + N: 44



h = [4 35 27 5]
R: 164
R + N: 48



h = [4 36 21 5]
R: 164
R + N: 48



h = [4 36 22 4]
R: 164
R + N: 44



h = [4 36 24 5]
R: 164
R + N: 48



h = [4 36 26 4]
R: 164
R + N: 44



h = [4 37 20 5]
R: 164
R + N: 48



h = [4 37 23 4]
R: 164
R + N: 44



h = [4 37 25 5]
R: 164
R + N: 48



h = [4 37 27 4]
R: 164
R + N: 44



h = [5 20 30 4]
R: 164
R + N: 48



h = [5 20 32 5]
R: 164
R + N: 44



h = [5 20 34 4]
R: 164
R + N: 48



h = [5 20 37 5]
R: 164
R + N: 44



h = [5 21 31 4]
R: 164
R + N: 48



h = [5 21 33 5]
R: 164
R + N: 44



h = [5 21 35 4]
R: 164
R + N: 48



h = [5 21 36 5]
R: 164
R + N: 44



h = [5 22 30 5]
R: 164
R + N: 44



h = [5 22 32 4]
R: 164
R + N: 48



h = [5 22 35 5]
R: 164
R + N: 44



h = [5 22 36 4]
R: 164
R + N: 48



h = [5 23 31 5]
R: 164
R + N: 44



h = [5 23 33 4]
R: 164
R + N: 48



h = [5 23 34 5]
R: 164
R + N: 44



h = [5 23 37 4]
R: 164
R + N: 48



h = [5 24 30 4]
R: 164
R + N: 48



h = [5 24 33 5]
R: 164
R + N: 44



h = [5 24 34 4]
R: 164
R + N: 48



h = [5 24 36 5]
R: 164
R + N: 44



h = [5 25 31 4]
R: 164
R + N: 48



h = [5 25 32 5]
R: 164
R + N: 44



h = [5 25 35 4]
R: 164
R + N: 48



h = [5 25 37 5]
R: 164
R + N: 44



h = [5 26 31 5]
R: 164
R + N: 44



h = [5 26 32 4]
R: 164
R + N: 48



h = [5 26 34 5]
R: 164
R + N: 44



h = [5 26 36 4]
R: 164
R + N: 48



h = [5 27 30 5]
R: 164
R + N: 44



h = [5 27 33 4]
R: 164
R + N: 48



h = [5 27 35 5]
R: 164
R + N: 44



h = [5 27 37 4]
R: 164
R + N: 48



h = [5 30 20 4]
R: 164
R + N: 48



h = [5 30 22 5]
R: 164
R + N: 44



h = [5 30 24 4]
R: 164
R + N: 48



h = [5 30 27 5]
R: 164
R + N: 44



h = [5 31 21 4]
R: 164
R + N: 48



h = [5 31 23 5]
R: 164
R + N: 44



h = [5 31 25 4]
R: 164
R + N: 48



h = [5 31 26 5]
R: 164
R + N: 44



h = [5 32 20 5]
R: 164
R + N: 44



h = [5 32 22 4]
R: 164
R + N: 48



h = [5 32 25 5]
R: 164
R + N: 44



h = [5 32 26 4]
R: 164
R + N: 48



h = [5 33 21 5]
R: 164
R + N: 44



h = [5 33 23 4]
R: 164
R + N: 48



h = [5 33 24 5]
R: 164
R + N: 44



h = [5 33 27 4]
R: 164
R + N: 48



h = [5 34 20 4]
R: 164
R + N: 48



h = [5 34 23 5]
R: 164
R + N: 44



h = [5 34 24 4]
R: 164
R + N: 48



h = [5 34 26 5]
R: 164
R + N: 44



h = [5 35 21 4]
R: 164
R + N: 48



h = [5 35 22 5]
R: 164
R + N: 44



h = [5 35 25 4]
R: 164
R + N: 48



h = [5 35 27 5]
R: 164
R + N: 44



h = [5 36 21 5]
R: 164
R + N: 44



h = [5 36 22 4]
R: 164
R + N: 48



h = [5 36 24 5]
R: 164
R + N: 44



h = [5 36 26 4]
R: 164
R + N: 48



h = [5 37 20 5]
R: 164
R + N: 44



h = [5 37 23 4]
R: 164
R + N: 48



h = [5 37 25 5]
R: 164
R + N: 44



h = [5 37 27 4]
R: 164
R + N: 48



h = [7 20 30 7]
R: 168
R + N: 56



h = [7 20 32 6]
R: 168
R + N: 48



h = [7 20 33 6]
R: 164
R + N: 48



h = [7 20 33 7]
R: 164
R + N: 56



h = [7 20 34 6]
R: 168
R + N: 48



h = [7 20 34 7]
R: 164
R + N: 56



h = [7 20 35 6]
R: 164
R + N: 48



h = [7 20 37 7]
R: 168
R + N: 56



h = [7 21 31 7]
R: 168
R + N: 56



h = [7 21 32 6]
R: 164
R + N: 48



h = [7 21 32 7]
R: 164
R + N: 56



h = [7 21 33 6]
R: 168
R + N: 48



h = [7 21 34 6]
R: 164
R + N: 48



h = [7 21 35 6]
R: 168
R + N: 48



h = [7 21 35 7]
R: 164
R + N: 56



h = [7 21 36 7]
R: 168
R + N: 56



h = [7 22 30 6]
R: 168
R + N: 48



h = [7 22 31 6]
R: 164
R + N: 48



h = [7 22 31 7]
R: 164
R + N: 56



h = [7 22 32 7]
R: 168
R + N: 56



h = [7 22 35 7]
R: 168
R + N: 56



h = [7 22 36 6]
R: 168
R + N: 48



h = [7 22 36 7]
R: 164
R + N: 56



h = [7 22 37 6]
R: 164
R + N: 48



h = [7 23 30 6]
R: 164
R + N: 48



h = [7 23 30 7]
R: 164
R + N: 56



h = [7 23 31 6]
R: 168
R + N: 48



h = [7 23 33 7]
R: 168
R + N: 56



h = [7 23 34 7]
R: 168
R + N: 56



h = [7 23 36 6]
R: 164
R + N: 48



h = [7 23 37 6]
R: 168
R + N: 48



h = [7 23 37 7]
R: 164
R + N: 56



h = [7 24 30 6]
R: 168
R + N: 48



h = [7 24 30 7]
R: 164
R + N: 56



h = [7 24 31 6]
R: 164
R + N: 48



h = [7 24 33 7]
R: 168
R + N: 56



h = [7 24 34 7]
R: 168
R + N: 56



h = [7 24 36 6]
R: 168
R + N: 48



h = [7 24 37 6]
R: 164
R + N: 48



h = [7 24 37 7]
R: 164
R + N: 56



h = [7 25 30 6]
R: 164
R + N: 48



h = [7 25 31 6]
R: 168
R + N: 48



h = [7 25 31 7]
R: 164
R + N: 56



h = [7 25 32 7]
R: 168
R + N: 56



h = [7 25 35 7]
R: 168
R + N: 56



h = [7 25 36 6]
R: 164
R + N: 48



h = [7 25 36 7]
R: 164
R + N: 56



h = [7 25 37 6]
R: 168
R + N: 48



h = [7 26 31 7]
R: 168
R + N: 56



h = [7 26 32 6]
R: 168
R + N: 48



h = [7 26 32 7]
R: 164
R + N: 56



h = [7 26 33 6]
R: 164
R + N: 48



h = [7 26 34 6]
R: 168
R + N: 48



h = [7 26 35 6]
R: 164
R + N: 48



h = [7 26 35 7]
R: 164
R + N: 56



h = [7 26 36 7]
R: 168
R + N: 56



h = [7 27 30 7]
R: 168
R + N: 56



h = [7 27 32 6]
R: 164
R + N: 48



h = [7 27 33 6]
R: 168
R + N: 48



h = [7 27 33 7]
R: 164
R + N: 56



h = [7 27 34 6]
R: 164
R + N: 48



h = [7 27 34 7]
R: 164
R + N: 56



h = [7 27 35 6]
R: 168
R + N: 48



h = [7 27 37 7]
R: 168
R + N: 56



h = [7 30 20 7]
R: 168
R + N: 56



h = [7 30 22 6]
R: 168
R + N: 48



h = [7 30 23 6]
R: 164
R + N: 48



h = [7 30 23 7]
R: 164
R + N: 56



h = [7 30 24 6]
R: 168
R + N: 48



h = [7 30 24 7]
R: 164
R + N: 56



h = [7 30 25 6]
R: 164
R + N: 48



h = [7 30 27 7]
R: 168
R + N: 56



h = [7 31 21 7]
R: 168
R + N: 56



h = [7 31 22 6]
R: 164
R + N: 48



h = [7 31 22 7]
R: 164
R + N: 56



h = [7 31 23 6]
R: 168
R + N: 48



h = [7 31 24 6]
R: 164
R + N: 48



h = [7 31 25 6]
R: 168
R + N: 48



h = [7 31 25 7]
R: 164
R + N: 56



h = [7 31 26 7]
R: 168
R + N: 56



h = [7 32 20 6]
R: 168
R + N: 48



h = [7 32 21 6]
R: 164
R + N: 48



h = [7 32 21 7]
R: 164
R + N: 56



h = [7 32 22 7]
R: 168
R + N: 56



h = [7 32 25 7]
R: 168
R + N: 56



h = [7 32 26 6]
R: 168
R + N: 48



h = [7 32 26 7]
R: 164
R + N: 56



h = [7 32 27 6]
R: 164
R + N: 48



h = [7 33 20 6]
R: 164
R + N: 48



h = [7 33 20 7]
R: 164
R + N: 56



h = [7 33 21 6]
R: 168
R + N: 48



h = [7 33 23 7]
R: 168
R + N: 56



h = [7 33 24 7]
R: 168
R + N: 56



h = [7 33 26 6]
R: 164
R + N: 48



h = [7 33 27 6]
R: 168
R + N: 48



h = [7 33 27 7]
R: 164
R + N: 56



h = [7 34 20 6]
R: 168
R + N: 48



h = [7 34 20 7]
R: 164
R + N: 56



h = [7 34 21 6]
R: 164
R + N: 48



h = [7 34 23 7]
R: 168
R + N: 56



h = [7 34 24 7]
R: 168
R + N: 56



h = [7 34 26 6]
R: 168
R + N: 48



h = [7 34 27 6]
R: 164
R + N: 48



h = [7 34 27 7]
R: 164
R + N: 56



h = [7 35 20 6]
R: 164
R + N: 48



h = [7 35 21 6]
R: 168
R + N: 48



h = [7 35 21 7]
R: 164
R + N: 56



h = [7 35 22 7]
R: 168
R + N: 56



h = [7 35 25 7]
R: 168
R + N: 56



h = [7 35 26 6]
R: 164
R + N: 48



h = [7 35 26 7]
R: 164
R + N: 56



h = [7 35 27 6]
R: 168
R + N: 48



h = [7 36 21 7]
R: 168
R + N: 56



h = [7 36 22 6]
R: 168
R + N: 48



h = [7 36 22 7]
R: 164
R + N: 56



h = [7 36 23 6]
R: 164
R + N: 48



h = [7 36 24 6]
R: 168
R + N: 48



h = [7 36 25 6]
R: 164
R + N: 48



h = [7 36 25 7]
R: 164
R + N: 56



h = [7 36 26 7]
R: 168
R + N: 56



h = [7 37 20 7]
R: 168
R + N: 56



h = [7 37 22 6]
R: 164
R + N: 48



h = [7 37 23 6]
R: 168
R + N: 48



h = [7 37 23 7]
R: 164
R + N: 56



h = [7 37 24 6]
R: 164
R + N: 48



h = [7 37 24 7]
R: 164
R + N: 56



h = [7 37 25 6]
R: 168
R + N: 48



h = [7 37 27 7]
R: 168
R + N: 56



h = [14 20 24 14]
R: 164
R + N: 44



h = [14 20 26 15]
R: 164
R + N: 48



h = [14 20 30 14]
R: 164
R + N: 44



h = [14 20 33 15]
R: 164
R + N: 48



h = [14 21 25 14]
R: 164
R + N: 44



h = [14 21 27 15]
R: 164
R + N: 48



h = [14 21 31 14]
R: 164
R + N: 44



h = [14 21 32 15]
R: 164
R + N: 48



h = [14 22 24 15]
R: 164
R + N: 48



h = [14 22 26 14]
R: 164
R + N: 44



h = [14 22 31 15]
R: 164
R + N: 48



h = [14 22 32 14]
R: 164
R + N: 44



h = [14 23 25 15]
R: 164
R + N: 48



h = [14 23 27 14]
R: 164
R + N: 44



h = [14 23 30 15]
R: 164
R + N: 48



h = [14 23 33 14]
R: 164
R + N: 44



h = [14 24 20 14]
R: 164
R + N: 44



h = [14 24 22 15]
R: 164
R + N: 48



h = [14 24 34 14]
R: 164
R + N: 44



h = [14 24 37 15]
R: 164
R + N: 48



h = [14 25 21 14]
R: 164
R + N: 44



h = [14 25 23 15]
R: 164
R + N: 48



h = [14 25 35 14]
R: 164
R + N: 44



h = [14 25 36 15]
R: 164
R + N: 48



h = [14 26 20 15]
R: 164
R + N: 48



h = [14 26 22 14]
R: 164
R + N: 44



h = [14 26 35 15]
R: 164
R + N: 48



h = [14 26 36 14]
R: 164
R + N: 44



h = [14 27 21 15]
R: 164
R + N: 48



h = [14 27 23 14]
R: 164
R + N: 44



h = [14 27 34 15]
R: 164
R + N: 48



h = [14 27 37 14]
R: 164
R + N: 44



h = [14 30 20 14]
R: 164
R + N: 44



h = [14 30 23 15]
R: 164
R + N: 48



h = [14 30 34 14]
R: 164
R + N: 44



h = [14 30 36 15]
R: 164
R + N: 48



h = [14 31 21 14]
R: 164
R + N: 44



h = [14 31 22 15]
R: 164
R + N: 48



h = [14 31 35 14]
R: 164
R + N: 44



h = [14 31 37 15]
R: 164
R + N: 48



h = [14 32 21 15]
R: 164
R + N: 48



h = [14 32 22 14]
R: 164
R + N: 44



h = [14 32 34 15]
R: 164
R + N: 48



h = [14 32 36 14]
R: 164
R + N: 44



h = [14 33 20 15]
R: 164
R + N: 48



h = [14 33 23 14]
R: 164
R + N: 44



h = [14 33 35 15]
R: 164
R + N: 48



h = [14 33 37 14]
R: 164
R + N: 44



h = [14 34 24 14]
R: 164
R + N: 44



h = [14 34 27 15]
R: 164
R + N: 48



h = [14 34 30 14]
R: 164
R + N: 44



h = [14 34 32 15]
R: 164
R + N: 48



h = [14 35 25 14]
R: 164
R + N: 44



h = [14 35 26 15]
R: 164
R + N: 48



h = [14 35 31 14]
R: 164
R + N: 44



h = [14 35 33 15]
R: 164
R + N: 48



h = [14 36 25 15]
R: 164
R + N: 48



h = [14 36 26 14]
R: 164
R + N: 44



h = [14 36 30 15]
R: 164
R + N: 48



h = [14 36 32 14]
R: 164
R + N: 44



h = [14 37 24 15]
R: 164
R + N: 48



h = [14 37 27 14]
R: 164
R + N: 44



h = [14 37 31 15]
R: 164
R + N: 48



h = [14 37 33 14]
R: 164
R + N: 44



h = [15 20 25 14]
R: 164
R + N: 48



h = [15 20 27 15]
R: 164
R + N: 44



h = [15 20 31 14]
R: 164
R + N: 48



h = [15 20 32 15]
R: 164
R + N: 44



h = [15 21 24 14]
R: 164
R + N: 48



h = [15 21 26 15]
R: 164
R + N: 44



h = [15 21 30 14]
R: 164
R + N: 48



h = [15 21 33 15]
R: 164
R + N: 44



h = [15 22 25 15]
R: 164
R + N: 44



h = [15 22 27 14]
R: 164
R + N: 48



h = [15 22 30 15]
R: 164
R + N: 44



h = [15 22 33 14]
R: 164
R + N: 48



h = [15 23 24 15]
R: 164
R + N: 44



h = [15 23 26 14]
R: 164
R + N: 48



h = [15 23 31 15]
R: 164
R + N: 44



h = [15 23 32 14]
R: 164
R + N: 48



h = [15 24 21 14]
R: 164
R + N: 48



h = [15 24 23 15]
R: 164
R + N: 44



h = [15 24 35 14]
R: 164
R + N: 48



h = [15 24 36 15]
R: 164
R + N: 44



h = [15 25 20 14]
R: 164
R + N: 48



h = [15 25 22 15]
R: 164
R + N: 44



h = [15 25 34 14]
R: 164
R + N: 48



h = [15 25 37 15]
R: 164
R + N: 44



h = [15 26 21 15]
R: 164
R + N: 44



h = [15 26 23 14]
R: 164
R + N: 48



h = [15 26 34 15]
R: 164
R + N: 44



h = [15 26 37 14]
R: 164
R + N: 48



h = [15 27 20 15]
R: 164
R + N: 44



h = [15 27 22 14]
R: 164
R + N: 48



h = [15 27 35 15]
R: 164
R + N: 44



h = [15 27 36 14]
R: 164
R + N: 48



h = [15 30 21 14]
R: 164
R + N: 48



h = [15 30 22 15]
R: 164
R + N: 44



h = [15 30 35 14]
R: 164
R + N: 48



h = [15 30 37 15]
R: 164
R + N: 44



h = [15 31 20 14]
R: 164
R + N: 48



h = [15 31 23 15]
R: 164
R + N: 44



h = [15 31 34 14]
R: 164
R + N: 48



h = [15 31 36 15]
R: 164
R + N: 44



h = [15 32 20 15]
R: 164
R + N: 44



h = [15 32 23 14]
R: 164
R + N: 48



h = [15 32 35 15]
R: 164
R + N: 44



h = [15 32 37 14]
R: 164
R + N: 48



h = [15 33 21 15]
R: 164
R + N: 44



h = [15 33 22 14]
R: 164
R + N: 48



h = [15 33 34 15]
R: 164
R + N: 44



h = [15 33 36 14]
R: 164
R + N: 48



h = [15 34 25 14]
R: 164
R + N: 48



h = [15 34 26 15]
R: 164
R + N: 44



h = [15 34 31 14]
R: 164
R + N: 48



h = [15 34 33 15]
R: 164
R + N: 44



h = [15 35 24 14]
R: 164
R + N: 48



h = [15 35 27 15]
R: 164
R + N: 44



h = [15 35 30 14]
R: 164
R + N: 48



h = [15 35 32 15]
R: 164
R + N: 44



h = [15 36 24 15]
R: 164
R + N: 44



h = [15 36 27 14]
R: 164
R + N: 48



h = [15 36 31 15]
R: 164
R + N: 44



h = [15 36 33 14]
R: 164
R + N: 48



h = [15 37 25 15]
R: 164
R + N: 44



h = [15 37 26 14]
R: 164
R + N: 48



h = [15 37 30 15]
R: 164
R + N: 44



h = [15 37 32 14]
R: 164
R + N: 48



h = [17 20 24 16]
R: 164
R + N: 48



h = [17 20 24 17]
R: 164
R + N: 56



h = [17 20 25 16]
R: 168
R + N: 48



h = [17 20 27 17]
R: 168
R + N: 56



h = [17 20 30 17]
R: 168
R + N: 56



h = [17 20 32 16]
R: 164
R + N: 48



h = [17 20 33 16]
R: 168
R + N: 48



h = [17 20 33 17]
R: 164
R + N: 56



h = [17 21 24 16]
R: 168
R + N: 48



h = [17 21 25 16]
R: 164
R + N: 48



h = [17 21 25 17]
R: 164
R + N: 56



h = [17 21 26 17]
R: 168
R + N: 56



h = [17 21 31 17]
R: 168
R + N: 56



h = [17 21 32 16]
R: 168
R + N: 48



h = [17 21 32 17]
R: 164
R + N: 56



h = [17 21 33 16]
R: 164
R + N: 48



h = [17 22 25 17]
R: 168
R + N: 56



h = [17 22 26 16]
R: 164
R + N: 48



h = [17 22 26 17]
R: 164
R + N: 56



h = [17 22 27 16]
R: 168
R + N: 48



h = [17 22 30 16]
R: 164
R + N: 48



h = [17 22 31 16]
R: 168
R + N: 48



h = [17 22 31 17]
R: 164
R + N: 56



h = [17 22 32 17]
R: 168
R + N: 56



h = [17 23 24 17]
R: 168
R + N: 56



h = [17 23 26 16]
R: 168
R + N: 48



h = [17 23 27 16]
R: 164
R + N: 48



h = [17 23 27 17]
R: 164
R + N: 56



h = [17 23 30 16]
R: 168
R + N: 48



h = [17 23 30 17]
R: 164
R + N: 56



h = [17 23 31 16]
R: 164
R + N: 48



h = [17 23 33 17]
R: 168
R + N: 56



h = [17 24 20 16]
R: 164
R + N: 48



h = [17 24 20 17]
R: 164
R + N: 56



h = [17 24 21 16]
R: 168
R + N: 48



h = [17 24 23 17]
R: 168
R + N: 56



h = [17 24 34 17]
R: 168
R + N: 56



h = [17 24 36 16]
R: 164
R + N: 48



h = [17 24 37 16]
R: 168
R + N: 48



h = [17 24 37 17]
R: 164
R + N: 56



h = [17 25 20 16]
R: 168
R + N: 48



h = [17 25 21 16]
R: 164
R + N: 48



h = [17 25 21 17]
R: 164
R + N: 56



h = [17 25 22 17]
R: 168
R + N: 56



h = [17 25 35 17]
R: 168
R + N: 56



h = [17 25 36 16]
R: 168
R + N: 48



h = [17 25 36 17]
R: 164
R + N: 56



h = [17 25 37 16]
R: 164
R + N: 48



h = [17 26 21 17]
R: 168
R + N: 56



h = [17 26 22 16]
R: 164
R + N: 48



h = [17 26 22 17]
R: 164
R + N: 56



h = [17 26 23 16]
R: 168
R + N: 48



h = [17 26 34 16]
R: 164
R + N: 48



h = [17 26 35 16]
R: 168
R + N: 48



h = [17 26 35 17]
R: 164
R + N: 56



h = [17 26 36 17]
R: 168
R + N: 56



h = [17 27 20 17]
R: 168
R + N: 56



h = [17 27 22 16]
R: 168
R + N: 48



h = [17 27 23 16]
R: 164
R + N: 48



h = [17 27 23 17]
R: 164
R + N: 56



h = [17 27 34 16]
R: 168
R + N: 48



h = [17 27 34 17]
R: 164
R + N: 56



h = [17 27 35 16]
R: 164
R + N: 48



h = [17 27 37 17]
R: 168
R + N: 56



h = [17 30 20 17]
R: 168
R + N: 56



h = [17 30 22 16]
R: 164
R + N: 48



h = [17 30 23 16]
R: 168
R + N: 48



h = [17 30 23 17]
R: 164
R + N: 56



h = [17 30 34 16]
R: 164
R + N: 48



h = [17 30 34 17]
R: 164
R + N: 56



h = [17 30 35 16]
R: 168
R + N: 48



h = [17 30 37 17]
R: 168
R + N: 56



h = [17 31 21 17]
R: 168
R + N: 56



h = [17 31 22 16]
R: 168
R + N: 48



h = [17 31 22 17]
R: 164
R + N: 56



h = [17 31 23 16]
R: 164
R + N: 48



h = [17 31 34 16]
R: 168
R + N: 48



h = [17 31 35 16]
R: 164
R + N: 48



h = [17 31 35 17]
R: 164
R + N: 56



h = [17 31 36 17]
R: 168
R + N: 56



h = [17 32 20 16]
R: 164
R + N: 48



h = [17 32 21 16]
R: 168
R + N: 48



h = [17 32 21 17]
R: 164
R + N: 56



h = [17 32 22 17]
R: 168
R + N: 56



h = [17 32 35 17]
R: 168
R + N: 56



h = [17 32 36 16]
R: 164
R + N: 48



h = [17 32 36 17]
R: 164
R + N: 56



h = [17 32 37 16]
R: 168
R + N: 48



h = [17 33 20 16]
R: 168
R + N: 48



h = [17 33 20 17]
R: 164
R + N: 56



h = [17 33 21 16]
R: 164
R + N: 48



h = [17 33 23 17]
R: 168
R + N: 56



h = [17 33 34 17]
R: 168
R + N: 56



h = [17 33 36 16]
R: 168
R + N: 48



h = [17 33 37 16]
R: 164
R + N: 48



h = [17 33 37 17]
R: 164
R + N: 56



h = [17 34 24 17]
R: 168
R + N: 56



h = [17 34 26 16]
R: 164
R + N: 48



h = [17 34 27 16]
R: 168
R + N: 48



h = [17 34 27 17]
R: 164
R + N: 56



h = [17 34 30 16]
R: 164
R + N: 48



h = [17 34 30 17]
R: 164
R + N: 56



h = [17 34 31 16]
R: 168
R + N: 48



h = [17 34 33 17]
R: 168
R + N: 56



h = [17 35 25 17]
R: 168
R + N: 56



h = [17 35 26 16]
R: 168
R + N: 48



h = [17 35 26 17]
R: 164
R + N: 56



h = [17 35 27 16]
R: 164
R + N: 48



h = [17 35 30 16]
R: 168
R + N: 48



h = [17 35 31 16]
R: 164
R + N: 48



h = [17 35 31 17]
R: 164
R + N: 56



h = [17 35 32 17]
R: 168
R + N: 56



h = [17 36 24 16]
R: 164
R + N: 48



h = [17 36 25 16]
R: 168
R + N: 48



h = [17 36 25 17]
R: 164
R + N: 56



h = [17 36 26 17]
R: 168
R + N: 56



h = [17 36 31 17]
R: 168
R + N: 56



h = [17 36 32 16]
R: 164
R + N: 48



h = [17 36 32 17]
R: 164
R + N: 56



h = [17 36 33 16]
R: 168
R + N: 48



h = [17 37 24 16]
R: 168
R + N: 48



h = [17 37 24 17]
R: 164
R + N: 56



h = [17 37 25 16]
R: 164
R + N: 48



h = [17 37 27 17]
R: 168
R + N: 56



h = [17 37 30 17]
R: 168
R + N: 56



h = [17 37 32 16]
R: 168
R + N: 48



h = [17 37 33 16]
R: 164
R + N: 48



h = [17 37 33 17]
R: 164
R + N: 56



h = [20 2 25 10]
R: 164
R + N: 44



h = [20 2 25 15]
R: 164
R + N: 44



h = [20 2 27 11]
R: 164
R + N: 44



h = [20 2 27 14]
R: 164
R + N: 44



h = [20 2 30 15]
R: 164
R + N: 44



h = [20 2 33 14]
R: 164
R + N: 44



h = [20 2 35 10]
R: 164
R + N: 44



h = [20 2 36 11]
R: 164
R + N: 44



h = [20 3 24 13]
R: 164
R + N: 56



h = [20 3 24 16]
R: 168
R + N: 48



h = [20 3 24 17]
R: 168
R + N: 56



h = [20 3 25 16]
R: 164
R + N: 48



h = [20 3 26 12]
R: 164
R + N: 48



h = [20 3 27 12]
R: 168
R + N: 48



h = [20 3 27 13]
R: 168
R + N: 56



h = [20 3 27 17]
R: 164
R + N: 56



h = [20 3 30 17]
R: 164
R + N: 56



h = [20 3 32 16]
R: 168
R + N: 48



h = [20 3 33 16]
R: 164
R + N: 48



h = [20 3 33 17]
R: 168
R + N: 56



h = [20 3 34 12]
R: 164
R + N: 48



h = [20 3 34 13]
R: 168
R + N: 56



h = [20 3 35 12]
R: 168
R + N: 48



h = [20 3 37 13]
R: 164
R + N: 56



h = [20 10 24 10]
R: 164
R + N: 44



h = [20 10 26 11]
R: 164
R + N: 48



h = [20 10 34 10]
R: 164
R + N: 44



h = [20 10 37 11]
R: 164
R + N: 48



h = [20 11 24 10]
R: 164
R + N: 48



h = [20 11 26 11]
R: 164
R + N: 44



h = [20 11 34 10]
R: 164
R + N: 48



h = [20 11 37 11]
R: 164
R + N: 44



h = [20 13 24 13]
R: 168
R + N: 56



h = [20 13 26 12]
R: 168
R + N: 48



h = [20 13 27 12]
R: 164
R + N: 48



h = [20 13 27 13]
R: 164
R + N: 56



h = [20 13 34 12]
R: 168
R + N: 48



h = [20 13 34 13]
R: 164
R + N: 56



h = [20 13 35 12]
R: 164
R + N: 48



h = [20 13 37 13]
R: 168
R + N: 56



h = [20 14 24 14]
R: 164
R + N: 44



h = [20 14 27 15]
R: 164
R + N: 48



h = [20 14 30 14]
R: 164
R + N: 44



h = [20 14 32 15]
R: 164
R + N: 48



h = [20 15 25 14]
R: 164
R + N: 48



h = [20 15 26 15]
R: 164
R + N: 44



h = [20 15 31 14]
R: 164
R + N: 48



h = [20 15 33 15]
R: 164
R + N: 44



h = [20 17 24 17]
R: 168
R + N: 56



h = [20 17 26 16]
R: 164
R + N: 48



h = [20 17 27 16]
R: 168
R + N: 48



h = [20 17 27 17]
R: 164
R + N: 56



h = [20 17 30 16]
R: 164
R + N: 48



h = [20 17 30 17]
R: 164
R + N: 56



h = [20 17 31 16]
R: 168
R + N: 48



h = [20 17 33 17]
R: 168
R + N: 56



h = [20 22 25 10]
R: 164
R + N: 44



h = [20 22 26 11]
R: 164
R + N: 44



h = [20 22 30 5]
R: 164
R + N: 44



h = [20 22 33 4]
R: 164
R + N: 44



h = [20 22 35 5]
R: 164
R + N: 44



h = [20 22 35 10]
R: 164
R + N: 44



h = [20 22 37 4]
R: 164
R + N: 44



h = [20 22 37 11]
R: 164
R + N: 44



h = [20 23 24 12]
R: 164
R + N: 48



h = [20 23 24 13]
R: 164
R + N: 56



h = [20 23 25 12]
R: 168
R + N: 48



h = [20 23 27 13]
R: 164
R + N: 56



h = [20 23 30 7]
R: 164
R + N: 56



h = [20 23 32 6]
R: 168
R + N: 48



h = [20 23 33 6]
R: 164
R + N: 48



h = [20 23 33 7]
R: 168
R + N: 56



h = [20 23 34 6]
R: 168
R + N: 48



h = [20 23 34 7]
R: 168
R + N: 56



h = [20 23 34 13]
R: 164
R + N: 56



h = [20 23 35 6]
R: 164
R + N: 48



h = [20 23 36 12]
R: 164
R + N: 48



h = [20 23 37 7]
R: 164
R + N: 56



h = [20 23 37 12]
R: 168
R + N: 48



h = [20 23 37 13]
R: 168
R + N: 56



h = [20 24 30 4]
R: 164
R + N: 44



h = [20 24 32 5]
R: 164
R + N: 48



h = [20 24 34 4]
R: 164
R + N: 44



h = [20 24 37 5]
R: 164
R + N: 48



h = [20 25 31 4]
R: 164
R + N: 48



h = [20 25 33 5]
R: 164
R + N: 44



h = [20 25 35 4]
R: 164
R + N: 48



h = [20 25 36 5]
R: 164
R + N: 44



h = [20 27 30 6]
R: 164
R + N: 48



h = [20 27 30 7]
R: 164
R + N: 56



h = [20 27 31 6]
R: 168
R + N: 48



h = [20 27 33 7]
R: 168
R + N: 56



h = [20 27 34 7]
R: 168
R + N: 56



h = [20 27 36 6]
R: 164
R + N: 48



h = [20 27 37 6]
R: 168
R + N: 48



h = [20 27 37 7]
R: 164
R + N: 56



h = [20 30 24 10]
R: 164
R + N: 44



h = [20 30 27 11]
R: 164
R + N: 48



h = [20 30 34 10]
R: 164
R + N: 44



h = [20 30 36 11]
R: 164
R + N: 48



h = [20 31 24 10]
R: 164
R + N: 48



h = [20 31 27 11]
R: 164
R + N: 44



h = [20 30 34 10]
R: 164
R + N: 48



h = [20 31 36 11]
R: 164
R + N: 44



h = [20 33 24 12]
R: 168
R + N: 48



h = [20 33 24 13]
R: 164
R + N: 56



h = [20 33 25 12]
R: 164
R + N: 48



h = [20 33 27 13]
R: 168
R + N: 56



h = [20 33 34 13]
R: 168
R + N: 56



h = [20 33 36 12]
R: 168
R + N: 48



h = [20 33 37 12]
R: 164
R + N: 48



h = [20 33 37 13]
R: 164
R + N: 56



h = [21 2 24 10]
R: 164
R + N: 44



h = [21 2 24 15]
R: 164
R + N: 44



h = [21 2 26 11]
R: 164
R + N: 44



h = [21 2 26 14]
R: 164
R + N: 44



h = [21 2 31 15]
R: 164
R + N: 44



h = [21 2 32 14]
R: 164
R + N: 44



h = [21 2 34 10]
R: 164
R + N: 44



h = [21 2 37 11]
R: 164
R + N: 44



h = [21 3 24 16]
R: 164
R + N: 48



h = [21 3 25 13]
R: 164
R + N: 56



h = [21 3 25 16]
R: 168
R + N: 48



h = [21 3 25 17]
R: 168
R + N: 56



h = [21 3 26 12]
R: 168
R + N: 48



h = [21 3 26 13]
R: 168
R + N: 56



h = [21 3 26 17]
R: 164
R + N: 56



h = [21 3 27 12]
R: 164
R + N: 48



h = [21 3 31 17]
R: 164
R + N: 56



h = [21 3 32 16]
R: 164
R + N: 48



h = [21 3 32 17]
R: 168
R + N: 56



h = [21 3 33 16]
R: 168
R + N: 48



h = [21 3 34 12]
R: 168
R + N: 48



h = [21 3 35 12]
R: 164
R + N: 48



h = [21 3 35 13]
R: 168
R + N: 56



h = [21 3 36 13]
R: 164
R + N: 56



h = [21 10 25 10]
R: 164
R + N: 44



h = [21 10 27 11]
R: 164
R + N: 48



h = [21 10 35 10]
R: 164
R + N: 44



h = [21 10 36 11]
R: 164
R + N: 48



h = [21 11 25 10]
R: 164
R + N: 48



h = [21 11 27 11]
R: 164
R + N: 44



h = [21 11 35 10]
R: 164
R + N: 48



h = [21 11 36 11]
R: 164
R + N: 44



h = [21 13 25 13]
R: 168
R + N: 56



h = [21 13 26 12]
R: 164
R + N: 48



h = [21 13 26 13]
R: 164
R + N: 56



h = [21 13 27 12]
R: 168
R + N: 48



h = [21 13 34 12]
R: 164
R + N: 48



h = [21 13 35 12]
R: 168
R + N: 48



h = [21 13 35 13]
R: 164
R + N: 56



h = [21 13 36 13]
R: 168
R + N: 56



h = [21 14 25 14]
R: 164
R + N: 44



h = [21 14 26 15]
R: 164
R + N: 48



h = [21 14 31 14]
R: 164
R + N: 44



h = [21 14 33 15]
R: 164
R + N: 48



h = [21 15 24 14]
R: 164
R + N: 48



h = [21 15 27 15]
R: 164
R + N: 44



h = [21 15 30 14]
R: 164
R + N: 48



h = [21 15 32 15]
R: 164
R + N: 44



h = [21 17 25 17]
R: 168
R + N: 56



h = [21 17 26 16]
R: 168
R + N: 48



h = [21 17 26 17]
R: 164
R + N: 56



h = [21 17 27 16]
R: 164
R + N: 48



h = [21 17 30 16]
R: 168
R + N: 48



h = [21 17 31 16]
R: 164
R + N: 48



h = [21 17 31 17]
R: 164
R + N: 56



h = [21 17 32 17]
R: 168
R + N: 56



h = [21 22 24 12]
R: 168
R + N: 48



h = [21 22 25 12]
R: 164
R + N: 48



h = [21 22 25 13]
R: 168
R + N: 56



h = [21 22 26 13]
R: 164
R + N: 56



h = [21 22 31 7]
R: 164
R + N: 56



h = [21 22 32 6]
R: 164
R + N: 48



h = [21 22 32 7]
R: 168
R + N: 56



h = [21 22 33 6]
R: 168
R + N: 48



h = [21 22 34 6]
R: 164
R + N: 48



h = [21 22 35 6]
R: 168
R + N: 48



h = [21 22 35 7]
R: 168
R + N: 56



h = [21 22 35 13]
R: 164
R + N: 56



h = [21 22 36 7]
R: 164
R + N: 56



h = [21 22 36 12]
R: 168
R + N: 48



h = [21 22 36 13]
R: 168
R + N: 56



h = [21 22 37 12]
R: 164
R + N: 48



h = [21 23 24 10]
R: 164
R + N: 44



h = [21 23 27 11]
R: 164
R + N: 44



h = [21 23 31 5]
R: 164
R + N: 44



h = [21 23 32 4]
R: 164
R + N: 44



h = [21 23 34 5]
R: 164
R + N: 44



h = [21 23 34 10]
R: 164
R + N: 44



h = [21 23 36 4]
R: 164
R + N: 44



h = [21 23 36 11]
R: 164
R + N: 44



h = [21 24 30 4]
R: 164
R + N: 48



h = [21 24 32 5]
R: 164
R + N: 44



h = [21 24 34 4]
R: 164
R + N: 48



h = [21 24 37 5]
R: 164
R + N: 44



h = [21 25 31 4]
R: 164
R + N: 44



h = [21 25 33 5]
R: 164
R + N: 48



h = [21 25 35 4]
R: 164
R + N: 44



h = [21 25 36 5]
R: 164
R + N: 48



h = [21 26 30 6]
R: 168
R + N: 48



h = [21 26 31 6]
R: 164
R + N: 48



h = [21 26 31 7]
R: 164
R + N: 56



h = [21 26 32 7]
R: 168
R + N: 56



h = [21 26 35 7]
R: 168
R + N: 56



h = [21 26 36 6]
R: 168
R + N: 48



h = [21 26 36 7]
R: 164
R + N: 56



h = [21 26 37 6]
R: 164
R + N: 48



h = [21 30 25 10]
R: 164
R + N: 48



h = [21 30 26 11]
R: 164
R + N: 44



h = [21 30 35 10]
R: 164
R + N: 48



h = [21 30 37 11]
R: 164
R + N: 44



h = [21 31 25 10]
R: 164
R + N: 44



h = [21 31 26 11]
R: 164
R + N: 48



h = [21 31 35 10]
R: 164
R + N: 44



h = [21 31 37 11]
R: 164
R + N: 48



h = [21 32 24 12]
R: 164
R + N: 48



h = [21 32 25 12]
R: 168
R + N: 48



h = [21 32 25 13]
R: 164
R + N: 56



h = [21 32 26 13]
R: 168
R + N: 56



h = [21 32 35 13]
R: 168
R + N: 56



h = [21 32 36 12]
R: 164
R + N: 48



h = [21 32 36 13]
R: 164
R + N: 56



h = [21 32 37 12]
R: 168
R + N: 48



h = [22 2 25 11]
R: 164
R + N: 44



h = [22 2 25 14]
R: 164
R + N: 44



h = [22 2 27 10]
R: 164
R + N: 44



h = [22 2 27 15]
R: 164
R + N: 44



h = [22 2 31 14]
R: 164
R + N: 44



h = [22 2 32 15]
R: 164
R + N: 44



h = [22 2 34 11]
R: 164
R + N: 44



h = [22 2 37 10]
R: 164
R + N: 44



h = [22 3 24 12]
R: 164
R + N: 48



h = [22 3 25 12]
R: 168
R + N: 48



h = [22 3 25 13]
R: 168
R + N: 56



h = [22 3 25 17]
R: 164
R + N: 56



h = [22 3 26 13]
R: 164
R + N: 56



h = [22 3 26 16]
R: 168
R + N: 48



h = [22 3 26 17]
R: 168
R + N: 56



h = [22 3 27 16]
R: 164
R + N: 48



h = [22 3 30 16]
R: 168
R + N: 48



h = [22 3 31 16]
R: 164
R + N: 48



h = [22 3 31 17]
R: 168
R + N: 56



h = [22 3 32 17]
R: 164
R + N: 56



h = [22 3 35 13]
R: 164
R + N: 56



h = [22 3 36 12]
R: 164
R + N: 48



h = [22 3 36 13]
R: 168
R + N: 56



h = [22 3 37 12]
R: 168
R + N: 48



h = [22 10 24 11]
R: 164
R + N: 48



h = [22 10 26 10]
R: 164
R + N: 44



h = [22 10 35 11]
R: 164
R + N: 48



h = [22 10 36 10]
R: 164
R + N: 44



h = [22 11 24 11]
R: 164
R + N: 44



h = [22 11 26 10]
R: 164
R + N: 48



h = [22 11 35 11]
R: 164
R + N: 44



h = [22 11 36 10]
R: 164
R + N: 48



h = [22 13 24 12]
R: 168
R + N: 48



h = [22 13 25 12]
R: 164
R + N: 48



h = [22 13 25 13]
R: 164
R + N: 56



h = [22 13 26 13]
R: 168
R + N: 56



h = [22 13 35 13]
R: 168
R + N: 56



h = [22 13 36 12]
R: 168
R + N: 48



h = [22 13 36 13]
R: 164
R + N: 56



h = [22 13 37 12]
R: 164
R + N: 48



h = [22 14 25 15]
R: 164
R + N: 48



h = [22 14 26 14]
R: 164
R + N: 44



h = [22 14 30 15]
R: 164
R + N: 48



h = [22 14 32 14]
R: 164
R + N: 44



h = [22 15 24 15]
R: 164
R + N: 44



h = [22 15 27 14]
R: 164
R + N: 48



h = [22 15 31 15]
R: 164
R + N: 44



h = [22 15 33 14]
R: 164
R + N: 48



h = [22 17 24 16]
R: 164
R + N: 48



h = [22 17 25 16]
R: 168
R + N: 48



h = [22 17 25 17]
R: 164
R + N: 56



h = [22 17 26 17]
R: 168
R + N: 56



h = [22 17 31 17]
R: 168
R + N: 56



h = [22 17 32 16]
R: 164
R + N: 48



h = [22 17 32 17]
R: 164
R + N: 56



h = [22 17 33 16]
R: 168
R + N: 48



h = [22 20 24 11]
R: 164
R + N: 44



h = [22 20 27 10]
R: 164
R + N: 44



h = [22 20 31 4]
R: 164
R + N: 44



h = [22 20 32 5]
R: 164
R + N: 44



h = [22 20 35 4]
R: 164
R + N: 44



h = [22 20 35 11]
R: 164
R + N: 44



h = [22 20 37 5]
R: 164
R + N: 44



h = [22 20 37 10]
R: 164
R + N: 44



h = [22 21 25 13]
R: 164
R + N: 56



h = [22 21 26 12]
R: 164
R + N: 48



h = [22 21 26 13]
R: 168
R + N: 56



h = [22 21 27 12]
R: 168
R + N: 48



h = [22 21 30 6]
R: 168
R + N: 48



h = [22 21 31 6]
R: 164
R + N: 48



h = [22 21 31 7]
R: 168
R + N: 56



h = [22 21 32 7]
R: 164
R + N: 56



h = [22 21 34 12]
R: 164
R + N: 48



h = [22 21 35 7]
R: 164
R + N: 56



h = [22 21 35 12]
R: 168
R + N: 48



h = [22 21 35 13]
R: 168
R + N: 56



h = [22 21 36 6]
R: 168
R + N: 48



h = [22 21 36 7]
R: 168
R + N: 56



h = [22 21 36 13]
R: 164
R + N: 56



h = [22 21 37 6]
R: 164
R + N: 48



h = [22 25 31 7]
R: 168
R + N: 56



h = [22 25 32 6]
R: 164
R + N: 48



h = [22 25 32 7]
R: 164
R + N: 56



h = [22 25 33 6]
R: 168
R + N: 48



h = [22 25 34 6]
R: 164
R + N: 48



h = [22 25 35 6]
R: 168
R + N: 48



h = [22 25 35 7]
R: 164
R + N: 56



h = [22 25 36 7]
R: 168
R + N: 56



h = [22 25 30 5]
R: 164
R + N: 48



h = [22 26 32 4]
R: 164
R + N: 44



h = [22 26 35 5]
R: 164
R + N: 48



h = [22 26 36 4]
R: 164
R + N: 44



h = [22 27 31 5]
R: 164
R + N: 44



h = [22 27 33 4]
R: 164
R + N: 48



h = [22 27 34 5]
R: 164
R + N: 44



h = [22 27 37 4]
R: 164
R + N: 48



h = [22 31 25 13]
R: 168
R + N: 56



h = [22 31 26 12]
R: 168
R + N: 48



h = [22 31 26 13]
R: 164
R + N: 56



h = [22 31 27 12]
R: 164
R + N: 48



h = [22 31 34 12]
R: 168
R + N: 48



h = [22 31 35 12]
R: 164
R + N: 48



h = [22 31 35 13]
R: 164
R + N: 56



h = [22 31 36 13]
R: 168
R + N: 56



h = [22 32 25 11]
R: 164
R + N: 48



h = [22 32 26 10]
R: 164
R + N: 44



h = [22 32 34 11]
R: 164
R + N: 48



h = [22 32 36 10]
R: 164
R + N: 44



h = [22 33 25 11]
R: 164
R + N: 44



h = [22 33 26 10]
R: 164
R + N: 48



h = [22 33 34 11]
R: 164
R + N: 44



h = [22 33 36 10]
R: 164
R + N: 48



h = [23 2 24 11]
R: 164
R + N: 44



h = [23 2 24 14]
R: 164
R + N: 44



h = [23 2 26 10]
R: 164
R + N: 44



h = [23 2 26 15]
R: 164
R + N: 44



h = [23 2 30 14]
R: 164
R + N: 44



h = [23 2 33 15]
R: 164
R + N: 44



h = [23 2 35 11]
R: 164
R + N: 44



h = [23 2 36 10]
R: 164
R + N: 44



h = [23 3 24 12]
R: 168
R + N: 48



h = [23 3 24 13]
R: 168
R + N: 56



h = [23 3 24 17]
R: 164
R + N: 56



h = [23 3 25 12]
R: 164
R + N: 48



h = [23 3 26 16]
R: 164
R + N: 48



h = [23 3 27 13]
R: 164
R + N: 56



h = [23 3 27 16]
R: 168
R + N: 48



h = [23 3 27 17]
R: 168
R + N: 56



h = [23 3 30 16]
R: 164
R + N: 48



h = [23 3 30 17]
R: 168
R + N: 56



h = [23 3 31 16]
R: 168
R + N: 48



h = [23 3 33 17]
R: 164
R + N: 56



h = [23 3 34 13]
R: 164
R + N: 56



h = [23 3 36 12]
R: 168
R + N: 48



h = [23 3 37 12]
R: 164
R + N: 48



h = [23 3 37 13]
R: 168
R + N: 56



h = [23 10 25 11]
R: 164
R + N: 48



h = [23 10 27 10]
R: 164
R + N: 44



h = [23 10 34 11]
R: 164
R + N: 48



h = [23 10 37 10]
R: 164
R + N: 44



h = [23 11 25 11]
R: 164
R + N: 44



h = [23 11 27 10]
R: 164
R + N: 48



h = [23 11 34 11]
R: 164
R + N: 44



h = [23 11 37 10]
R: 164
R + N: 48



h = [23 13 24 12]
R: 164
R + N: 48



h = [23 13 24 13]
R: 164
R + N: 56



h = [23 13 25 12]
R: 168
R + N: 48



h = [23 13 27 13]
R: 168
R + N: 56



h = [23 13 34 13]
R: 168
R + N: 56



h = [23 13 36 12]
R: 164
R + N: 48



h = [23 13 37 12]
R: 168
R + N: 48



h = [23 13 37 13]
R: 164
R + N: 56



h = [23 14 24 15]
R: 164
R + N: 48



h = [23 14 27 14]
R: 164
R + N: 44



h = [23 14 31 15]
R: 164
R + N: 48



h = [23 14 33 14]
R: 164
R + N: 44



h = [23 15 25 15]
R: 164
R + N: 44



h = [23 15 26 14]
R: 164
R + N: 48



h = [23 15 30 15]
R: 164
R + N: 44



h = [23 15 32 14]
R: 164
R + N: 48



h = [23 17 24 16]
R: 168
R + N: 48



h = [23 17 24 17]
R: 164
R + N: 56



h = [23 17 25 16]
R: 164
R + N: 48



h = [23 17 27 17]
R: 168
R + N: 56



h = [23 17 30 17]
R: 168
R + N: 56



h = [23 17 32 16]
R: 168
R + N: 48



h = [23 17 33 16]
R: 164
R + N: 48



h = [23 17 33 17]
R: 164
R + N: 56



h = [23 20 24 13]
R: 164
R + N: 56



h = [23 20 26 12]
R: 168
R + N: 48



h = [23 20 27 12]
R: 164
R + N: 48



h = [23 20 27 13]
R: 168
R + N: 56



h = [23 20 30 6]
R: 164
R + N: 48



h = [23 20 30 7]
R: 168
R + N: 56



h = [23 20 31 6]
R: 168
R + N: 48



h = [23 20 33 7]
R: 164
R + N: 56



h = [23 20 34 7]
R: 164
R + N: 56



h = [23 20 34 12]
R: 168
R + N: 48



h = [23 20 34 13]
R: 168
R + N: 56



h = [23 20 35 12]
R: 164
R + N: 48



h = [23 20 36 6]
R: 164
R + N: 48



h = [23 20 37 6]
R: 168
R + N: 48



h = [23 20 37 7]
R: 168
R + N: 56



h = [23 20 37 13]
R: 164
R + N: 56



h = [23 21 25 11]
R: 164
R + N: 44



h = [23 21 26 10]
R: 164
R + N: 44



h = [23 21 30 4]
R: 164
R + N: 44



h = [23 21 33 5]
R: 164
R + N: 44



h = [23 21 34 4]
R: 164
R + N: 44



h = [23 21 34 11]
R: 164
R + N: 44



h = [23 21 36 5]
R: 164
R + N: 44



h = [23 21 36 10]
R: 164
R + N: 44



h = [23 24 30 7]
R: 168
R + N: 56



h = [23 24 32 6]
R: 168
R + N: 48



h = [23 24 33 6]
R: 164
R + N: 48



h = [23 24 33 7]
R: 164
R + N: 56



h = [23 24 34 6]
R: 168
R + N: 48



h = [23 24 34 7]
R: 164
R + N: 56



h = [23 24 35 6]
R: 164
R + N: 48



h = [23 24 37 7]
R: 168
R + N: 56



h = [23 26 30 5]
R: 164
R + N: 44



h = [23 26 32 4]
R: 164
R + N: 48



h = [23 26 35 5]
R: 164
R + N: 44



h = [23 26 36 4]
R: 164
R + N: 48



h = [23 27 31 5]
R: 164
R + N: 48



h = [23 27 33 4]
R: 164
R + N: 44



h = [23 27 34 5]
R: 164
R + N: 48



h = [23 27 37 4]
R: 164
R + N: 44



h = [23 30 24 13]
R: 168
R + N: 56



h = [23 30 26 12]
R: 164
R + N: 48



h = [23 30 27 12]
R: 168
R + N: 48



h = [23 30 27 13]
R: 164
R + N: 56



h = [23 30 34 12]
R: 164
R + N: 48



h = [23 30 34 13]
R: 164
R + N: 56



h = [23 30 35 12]
R: 168
R + N: 48



h = [23 30 37 13]
R: 168
R + N: 56



h = [23 32 24 11]
R: 164
R + N: 44



h = [23 32 27 10]
R: 164
R + N: 48



h = [23 32 35 11]
R: 164
R + N: 44



h = [23 32 37 10]
R: 164
R + N: 48



h = [23 33 24 11]
R: 164
R + N: 48



h = [23 33 27 10]
R: 164
R + N: 44



h = [23 33 35 11]
R: 164
R + N: 48



h = [23 33 37 10]
R: 164
R + N: 44



h = [24 2 21 10]
R: 164
R + N: 44



h = [24 2 21 15]
R: 164
R + N: 44



h = [24 2 23 11]
R: 164
R + N: 44



h = [24 2 23 14]
R: 164
R + N: 44



h = [24 2 31 10]
R: 164
R + N: 44



h = [24 2 32 11]
R: 164
R + N: 44



h = [24 2 34 15]
R: 164
R + N: 44



h = [24 2 37 14]
R: 164
R + N: 44



h = [24 3 20 13]
R: 164
R + N: 56



h = [24 3 20 16]
R: 168
R + N: 48



h = [24 3 20 17]
R: 168
R + N: 56



h = [24 3 21 16]
R: 164
R + N: 48



h = [24 3 22 12]
R: 164
R + N: 48



h = [24 3 23 12]
R: 168
R + N: 48



h = [24 3 23 13]
R: 168
R + N: 56



h = [24 3 23 17]
R: 164
R + N: 56



h = [24 3 30 12]
R: 164
R + N: 48



h = [24 3 30 13]
R: 168
R + N: 56



h = [24 3 31 12]
R: 168
R + N: 48



h = [24 3 33 13]
R: 164
R + N: 56



h = [24 3 34 17]
R: 164
R + N: 56



h = [24 3 36 16]
R: 168
R + N: 48



h = [24 3 37 16]
R: 164
R + N: 48



h = [24 3 37 17]
R: 168
R + N: 56



h = [24 10 20 10]
R: 164
R + N: 44



h = [24 10 22 11]
R: 164
R + N: 48



h = [24 10 30 10]
R: 164
R + N: 44



h = [24 10 33 11]
R: 164
R + N: 48



h = [24 11 20 10]
R: 164
R + N: 48



h = [24 11 22 11]
R: 164
R + N: 44



h = [24 11 30 10]
R: 164
R + N: 48



h = [24 11 33 11]
R: 164
R + N: 44



h = [24 13 20 13]
R: 168
R + N: 56



h = [24 13 22 12]
R: 168
R + N: 48



h = [24 13 23 12]
R: 164
R + N: 48



h = [24 13 23 13]
R: 164
R + N: 56



h = [24 13 30 12]
R: 168
R + N: 48



h = [24 13 30 13]
R: 164
R + N: 56



h = [24 13 31 12]
R: 164
R + N: 48



h = [24 13 33 13]
R: 168
R + N: 56



h = [24 14 20 14]
R: 164
R + N: 44



h = [24 14 23 15]
R: 164
R + N: 48



h = [24 14 34 14]
R: 164
R + N: 44



h = [24 14 36 15]
R: 164
R + N: 48



h = [24 15 21 14]
R: 164
R + N: 48



h = [24 15 22 15]
R: 164
R + N: 44



h = [24 15 35 14]
R: 164
R + N: 48



h = [24 15 37 15]
R: 164
R + N: 44



h = [24 17 20 17]
R: 168
R + N: 56



h = [24 17 22 16]
R: 164
R + N: 48



h = [24 17 23 16]
R: 168
R + N: 48



h = [24 17 23 17]
R: 164
R + N: 56



h = [24 17 34 16]
R: 164
R + N: 48



h = [24 17 34 17]
R: 164
R + N: 56



h = [24 17 35 16]
R: 168
R + N: 48



h = [24 17 37 17]
R: 168
R + N: 56



h = [24 20 30 4]
R: 164
R + N: 44



h = [24 20 33 5]
R: 164
R + N: 48



h = [24 20 34 4]
R: 164
R + N: 44



h = [24 20 36 5]
R: 164
R + N: 48



h = [24 21 31 4]
R: 164
R + N: 48



h = [24 21 32 5]
R: 164
R + N: 44



h = [24 21 35 4]
R: 164
R + N: 48



h = [24 21 37 5]
R: 164
R + N: 44



h = [24 23 30 7]
R: 168
R + N: 56



h = [24 23 32 6]
R: 164
R + N: 48



h = [24 23 33 6]
R: 168
R + N: 48



h = [24 23 33 7]
R: 164
R + N: 56



h = [24 23 34 6]
R: 164
R + N: 48



h = [24 23 34 7]
R: 164
R + N: 56



h = [24 23 35 6]
R: 168
R + N: 48



h = [24 23 37 7]
R: 168
R + N: 56



h = [24 26 21 10]
R: 164
R + N: 44



h = [24 26 22 11]
R: 164
R + N: 44



h = [24 26 31 5]
R: 164
R + N: 44



h = [24 26 31 10]
R: 164
R + N: 44



h = [24 26 33 4]
R: 164
R + N: 44



h = [24 26 33 11]
R: 164
R + N: 44



h = [24 26 34 5]
R: 164
R + N: 44



h = [24 26 37 4]
R: 164
R + N: 44



h = [24 27 20 12]
R: 164
R + N: 48



h = [24 27 20 13]
R: 168
R + N: 56



h = [24 27 21 12]
R: 168
R + N: 48



h = [24 27 23 13]
R: 164
R + N: 56



h = [24 27 30 6]
R: 168
R + N: 48



h = [24 27 30 7]
R: 168
R + N: 56



h = [24 27 30 13]
R: 164
R + N: 56



h = [24 27 31 6]
R: 164
R + N: 48



h = [24 27 32 12]
R: 164
R + N: 48



h = [24 27 33 7]
R: 164
R + N: 56



h = [24 27 33 12]
R: 168
R + N: 48



h = [24 27 33 13]
R: 168
R + N: 56



h = [24 27 34 7]
R: 164
R + N: 56



h = [24 27 36 6]
R: 168
R + N: 48



h = [24 27 37 6]
R: 164
R + N: 48



h = [24 27 37 7]
R: 168
R + N: 56



h = [24 34 20 10]
R: 164
R + N: 44



h = [24 34 23 11]
R: 164
R + N: 48



h = [24 34 30 10]
R: 164
R + N: 44



h = [24 34 32 11]
R: 164
R + N: 48



h = [24 35 20 10]
R: 164
R + N: 48



h = [24 35 23 11]
R: 164
R + N: 44



h = [24 35 30 10]
R: 164
R + N: 48



h = [24 35 32 11]
R: 164
R + N: 44



h = [24 37 20 12]
R: 168
R + N: 48



h = [24 37 20 13]
R: 164
R + N: 56



h = [24 37 21 12]
R: 164
R + N: 48



h = [24 37 23 13]
R: 168
R + N: 56



h = [24 37 30 13]
R: 168
R + N: 56



h = [24 37 32 12]
R: 168
R + N: 48



h = [24 37 33 12]
R: 164
R + N: 48



h = [24 37 33 13]
R: 164
R + N: 56



h = [25 2 20 10]
R: 164
R + N: 44



h = [25 2 20 15]
R: 164
R + N: 44



h = [25 2 22 11]
R: 164
R + N: 44



h = [25 2 22 14]
R: 164
R + N: 44



h = [25 2 30 10]
R: 164
R + N: 44



h = [25 2 33 11]
R: 164
R + N: 44



h = [25 2 35 15]
R: 164
R + N: 44



h = [25 2 36 14]
R: 164
R + N: 44



h = [25 3 20 16]
R: 164
R + N: 48



h = [25 3 21 13]
R: 164
R + N: 56



h = [25 3 21 16]
R: 168
R + N: 48



h = [25 3 21 17]
R: 168
R + N: 56



h = [25 3 22 12]
R: 168
R + N: 48



h = [25 3 22 13]
R: 168
R + N: 56



h = [25 3 22 17]
R: 164
R + N: 56



h = [25 3 23 12]
R: 164
R + N: 48



h = [25 3 30 12]
R: 168
R + N: 48



h = [25 3 31 12]
R: 164
R + N: 48



h = [25 3 31 13]
R: 168
R + N: 56



h = [25 3 32 13]
R: 164
R + N: 56



h = [25 3 35 17]
R: 164
R + N: 56



h = [25 3 36 16]
R: 164
R + N: 48



h = [25 3 36 17]
R: 168
R + N: 56



h = [25 3 37 16]
R: 168
R + N: 48



h = [25 10 21 10]
R: 164
R + N: 44



h = [25 10 23 11]
R: 164
R + N: 48



h = [25 10 31 10]
R: 164
R + N: 44



h = [25 10 32 11]
R: 164
R + N: 48



h = [25 11 21 10]
R: 164
R + N: 48



h = [25 11 23 11]
R: 164
R + N: 44



h = [25 11 31 10]
R: 164
R + N: 48



h = [25 11 32 11]
R: 164
R + N: 44



h = [25 13 21 13]
R: 168
R + N: 56



h = [25 13 22 12]
R: 164
R + N: 48



h = [25 13 22 13]
R: 164
R + N: 56



h = [25 13 23 12]
R: 168
R + N: 48



h = [25 13 30 12]
R: 164
R + N: 48



h = [25 13 31 12]
R: 168
R + N: 48



h = [25 13 31 13]
R: 164
R + N: 56



h = [25 13 32 13]
R: 168
R + N: 56



h = [25 14 21 14]
R: 164
R + N: 44



h = [25 14 22 15]
R: 164
R + N: 48



h = [25 14 35 14]
R: 164
R + N: 44



h = [25 14 37 15]
R: 164
R + N: 48



h = [25 15 20 14]
R: 164
R + N: 48



h = [25 15 23 15]
R: 164
R + N: 44



h = [25 15 34 14]
R: 164
R + N: 48



h = [25 15 36 15]
R: 164
R + N: 44



h = [25 17 21 17]
R: 168
R + N: 56



h = [25 17 22 16]
R: 168
R + N: 48



h = [25 17 22 17]
R: 164
R + N: 56



h = [25 17 23 16]
R: 164
R + N: 48



h = [25 17 34 16]
R: 168
R + N: 48



h = [25 17 35 16]
R: 164
R + N: 48



h = [25 17 35 17]
R: 164
R + N: 56



h = [25 17 36 17]
R: 168
R + N: 56



h = [25 20 30 4]
R: 164
R + N: 48



h = [25 20 33 5]
R: 164
R + N: 44



h = [25 20 34 4]
R: 164
R + N: 48



h = [25 20 36 5]
R: 164
R + N: 44



h = [25 21 31 4]
R: 164
R + N: 44



h = [25 21 32 5]
R: 164
R + N: 48



h = [25 21 35 4]
R: 164
R + N: 44



h = [25 21 37 5]
R: 164
R + N: 48



h = [25 22 31 7]
R: 168
R + N: 56



h = [25 22 32 6]
R: 168
R + N: 48



h = [25 22 32 7]
R: 164
R + N: 56



h = [25 22 33 6]
R: 164
R + N: 48



h = [25 22 34 6]
R: 168
R + N: 48



h = [25 22 35 6]
R: 164
R + N: 48



h = [25 22 35 7]
R: 164
R + N: 56



h = [25 22 36 7]
R: 168
R + N: 56



h = [25 26 20 12]
R: 168
R + N: 48



h = [25 26 21 12]
R: 164
R + N: 48



h = [25 26 21 13]
R: 168
R + N: 56



h = [25 26 22 13]
R: 164
R + N: 56



h = [25 26 30 6]
R: 164
R + N: 48



h = [25 26 31 6]
R: 168
R + N: 48



h = [25 26 31 7]
R: 168
R + N: 56



h = [25 26 31 13]
R: 164
R + N: 56



h = [25 26 32 7]
R: 164
R + N: 56



h = [25 26 32 12]
R: 168
R + N: 48



h = [25 26 32 13]
R: 168
R + N: 56



h = [25 26 33 12]
R: 164
R + N: 48



h = [25 26 35 7]
R: 164
R + N: 56



h = [25 26 36 6]
R: 164
R + N: 48



h = [25 26 36 7]
R: 168
R + N: 56



h = [25 26 37 6]
R: 168
R + N: 48



h = [25 27 20 10]
R: 164
R + N: 44



h = [25 27 23 11]
R: 164
R + N: 44



h = [25 27 30 5]
R: 164
R + N: 44



h = [25 27 30 10]
R: 164
R + N: 44



h = [25 27 32 4]
R: 164
R + N: 44



h = [25 27 32 11]
R: 164
R + N: 44



h = [25 27 35 5]
R: 164
R + N: 44



h = [25 27 36 4]
R: 164
R + N: 44



h = [25 34 21 10]
R: 164
R + N: 48



h = [25 34 22 11]
R: 164
R + N: 44



h = [25 34 31 10]
R: 164
R + N: 48



h = [25 34 33 11]
R: 164
R + N: 44



h = [25 35 21 10]
R: 164
R + N: 44



h = [25 35 22 11]
R: 164
R + N: 48



h = [25 35 31 10]
R: 164
R + N: 44



h = [25 35 33 11]
R: 164
R + N: 48



h = [25 36 20 12]
R: 164
R + N: 48



h = [25 36 21 12]
R: 168
R + N: 48



h = [25 36 21 13]
R: 164
R + N: 56



h = [25 36 22 13]
R: 168
R + N: 56



h = [25 36 31 13]
R: 168
R + N: 56



h = [25 36 32 12]
R: 164
R + N: 48



h = [25 36 32 13]
R: 164
R + N: 56



h = [25 36 33 12]
R: 168
R + N: 48



h = [26 2 21 11]
R: 164
R + N: 44



h = [26 2 21 14]
R: 164
R + N: 44



h = [26 2 23 10]
R: 164
R + N: 44



h = [26 2 23 15]
R: 164
R + N: 44



h = [26 2 30 11]
R: 164
R + N: 44



h = [26 2 33 10]
R: 164
R + N: 44



h = [26 2 35 14]
R: 164
R + N: 44



h = [26 2 36 15]
R: 164
R + N: 44



h = [26 3 20 12]
R: 164
R + N: 48



h = [26 3 21 12]
R: 168
R + N: 48



h = [26 3 21 13]
R: 168
R + N: 56



h = [26 3 21 17]
R: 164
R + N: 56



h = [26 3 22 13]
R: 164
R + N: 56



h = [26 3 22 16]
R: 168
R + N: 48



h = [26 3 22 17]
R: 168
R + N: 56



h = [26 3 23 16]
R: 164
R + N: 48



h = [26 3 31 13]
R: 164
R + N: 56



h = [26 3 32 12]
R: 164
R + N: 48



h = [26 3 32 13]
R: 168
R + N: 56



h = [26 3 33 12]
R: 168
R + N: 48



h = [26 3 34 16]
R: 168
R + N: 48



h = [26 3 35 16]
R: 164
R + N: 48



h = [26 3 35 17]
R: 168
R + N: 56



h = [26 3 36 17]
R: 164
R + N: 56



h = [26 10 20 11]
R: 164
R + N: 48



h = [26 10 22 10]
R: 164
R + N: 44



h = [26 10 31 11]
R: 164
R + N: 48



h = [26 10 32 10]
R: 164
R + N: 44



h = [26 11 20 11]
R: 164
R + N: 44



h = [26 11 22 10]
R: 164
R + N: 48



h = [26 11 31 11]
R: 164
R + N: 44



h = [26 11 32 10]
R: 164
R + N: 48



h = [26 13 20 12]
R: 168
R + N: 48



h = [26 13 21 12]
R: 164
R + N: 48



h = [26 13 21 13]
R: 164
R + N: 56



h = [26 13 22 13]
R: 168
R + N: 56



h = [26 13 31 13]
R: 168
R + N: 56



h = [26 13 32 12]
R: 168
R + N: 48



h = [26 13 32 13]
R: 164
R + N: 56



h = [26 13 33 12]
R: 164
R + N: 48



h = [26 14 21 15]
R: 164
R + N: 48



h = [26 14 22 14]
R: 164
R + N: 44



h = [26 14 34 15]
R: 164
R + N: 48



h = [26 14 36 14]
R: 164
R + N: 44



h = [26 15 20 15]
R: 164
R + N: 44



h = [26 15 23 14]
R: 164
R + N: 48



h = [26 15 35 15]
R: 164
R + N: 44



h = [26 15 37 14]
R: 164
R + N: 48



h = [26 17 20 16]
R: 164
R + N: 48



h = [26 17 21 16]
R: 168
R + N: 48



h = [26 17 21 17]
R: 164
R + N: 56



h = [26 17 22 17]
R: 168
R + N: 56



h = [26 17 35 17]
R: 168
R + N: 56



h = [26 17 36 16]
R: 164
R + N: 48



h = [26 17 36 17]
R: 164
R + N: 56



h = [26 17 37 16]
R: 168
R + N: 48



h = [26 21 30 6]
R: 164
R + N: 48



h = [26 21 31 6]
R: 168
R + N: 48



h = [26 21 31 7]
R: 164
R + N: 56



h = [26 21 32 7]
R: 168
R + N: 56



h = [26 21 35 7]
R: 168
R + N: 56



h = [26 21 36 6]
R: 164
R + N: 48



h = [26 21 36 7]
R: 164
R + N: 56



h = [26 21 37 6]
R: 168
R + N: 48



h = [26 22 31 5]
R: 164
R + N: 48



h = [26 22 32 4]
R: 164
R + N: 44



h = [26 22 34 5]
R: 164
R + N: 48



h = [26 22 36 4]
R: 164
R + N: 44



h = [26 23 30 5]
R: 164
R + N: 44



h = [26 23 33 4]
R: 164
R + N: 48



h = [26 23 35 5]
R: 164
R + N: 44



h = [26 23 37 4]
R: 164
R + N: 48



h = [26 24 20 11]
R: 164
R + N: 44



h = [26 24 23 10]
R: 164
R + N: 44



h = [26 24 31 4]
R: 164
R + N: 44



h = [26 24 31 11]
R: 164
R + N: 44



h = [26 24 33 5]
R: 164
R + N: 44



h = [26 24 33 10]
R: 164
R + N: 44



h = [26 24 35 4]
R: 164
R + N: 44



h = [26 24 36 5]
R: 164
R + N: 44



h = [26 25 21 13]
R: 164
R + N: 56



h = [26 25 22 12]
R: 164
R + N: 48



h = [26 25 22 13]
R: 168
R + N: 56



h = [26 25 23 12]
R: 168
R + N: 48



h = [26 25 30 12]
R: 164
R + N: 48



h = [26 25 31 7]
R: 164
R + N: 56



h = [26 25 31 12]
R: 168
R + N: 48



h = [26 25 31 13]
R: 168
R + N: 56



h = [26 25 32 6]
R: 168
R + N: 48



h = [26 25 32 7]
R: 168
R + N: 56



h = [26 25 32 13]
R: 164
R + N: 56



h = [26 25 33 6]
R: 164
R + N: 48



h = [26 25 34 6]
R: 168
R + N: 48



h = [26 25 35 6]
R: 164
R + N: 48



h = [26 25 35 7]
R: 168
R + N: 56



h = [26 25 36 7]
R: 164
R + N: 56



h = [26 35 21 13]
R: 168
R + N: 56



h = [26 35 22 12]
R: 168
R + N: 48



h = [26 35 22 13]
R: 164
R + N: 56



h = [26 35 23 12]
R: 164
R + N: 48



h = [26 35 30 12]
R: 168
R + N: 48



h = [26 35 31 12]
R: 164
R + N: 48



h = [26 35 31 13]
R: 164
R + N: 56



h = [26 35 32 13]
R: 168
R + N: 56



h = [26 36 21 11]
R: 164
R + N: 48



h = [26 36 22 10]
R: 164
R + N: 44



h = [26 36 30 11]
R: 164
R + N: 48



h = [26 36 32 10]
R: 164
R + N: 44



h = [26 37 21 11]
R: 164
R + N: 44



h = [26 37 22 10]
R: 164
R + N: 48



h = [26 37 30 11]
R: 164
R + N: 44



h = [26 37 32 10]
R: 164
R + N: 48



h = [27 2 20 11]
R: 164
R + N: 44



h = [27 2 20 14]
R: 164
R + N: 44



h = [27 2 22 10]
R: 164
R + N: 44



h = [27 2 22 15]
R: 164
R + N: 44



h = [27 2 31 11]
R: 164
R + N: 44



h = [27 2 32 10]
R: 164
R + N: 44



h = [26 2 34 14]
R: 164
R + N: 44



h = [26 2 37 15]
R: 164
R + N: 44



h = [27 3 20 12]
R: 168
R + N: 48



h = [27 3 20 13]
R: 168
R + N: 56



h = [27 3 20 17]
R: 164
R + N: 56



h = [27 3 21 12]
R: 164
R + N: 48



h = [27 3 22 16]
R: 164
R + N: 48



h = [27 3 23 13]
R: 164
R + N: 56



h = [27 3 23 16]
R: 168
R + N: 48



h = [27 3 23 17]
R: 168
R + N: 56



h = [27 3 30 13]
R: 164
R + N: 56



h = [27 3 32 12]
R: 168
R + N: 48



h = [27 3 33 12]
R: 164
R + N: 48



h = [27 3 33 13]
R: 168
R + N: 56



h = [27 3 34 16]
R: 164
R + N: 48



h = [27 3 34 17]
R: 168
R + N: 56



h = [27 3 35 16]
R: 168
R + N: 48



h = [27 3 37 17]
R: 164
R + N: 56



h = [27 10 21 11]
R: 164
R + N: 48



h = [27 10 23 10]
R: 164
R + N: 44



h = [27 10 30 11]
R: 164
R + N: 48



h = [27 10 33 10]
R: 164
R + N: 44



h = [27 11 21 11]
R: 164
R + N: 44



h = [27 11 23 10]
R: 164
R + N: 48



h = [27 11 30 11]
R: 164
R + N: 44



h = [27 11 33 10]
R: 164
R + N: 48



h = [27 13 20 12]
R: 164
R + N: 48



h = [27 13 20 13]
R: 164
R + N: 56



h = [27 13 21 12]
R: 168
R + N: 48



h = [27 13 23 13]
R: 168
R + N: 56



h = [27 13 30 13]
R: 168
R + N: 56



h = [27 13 32 12]
R: 164
R + N: 48



h = [27 13 33 12]
R: 168
R + N: 48



h = [27 13 33 13]
R: 164
R + N: 56



h = [27 14 20 15]
R: 164
R + N: 48



h = [27 14 23 14]
R: 164
R + N: 44



h = [27 14 35 15]
R: 164
R + N: 48



h = [27 14 37 14]
R: 164
R + N: 44



h = [27 15 21 15]
R: 164
R + N: 44



h = [27 15 22 14]
R: 164
R + N: 48



h = [27 15 34 15]
R: 164
R + N: 44



h = [27 15 36 14]
R: 164
R + N: 48



h = [27 17 20 16]
R: 168
R + N: 48



h = [27 17 20 17]
R: 164
R + N: 56



h = [27 17 21 16]
R: 164
R + N: 48



h = [27 17 23 17]
R: 168
R + N: 56



h = [27 17 34 17]
R: 168
R + N: 56



h = [27 17 36 16]
R: 168
R + N: 48



h = [27 17 37 16]
R: 164
R + N: 48



h = [27 17 37 17]
R: 164
R + N: 56



h = [27 20 30 6]
R: 168
R + N: 48



h = [27 20 30 7]
R: 164
R + N: 56



h = [27 20 31 6]
R: 164
R + N: 48



h = [27 20 33 7]
R: 168
R + N: 56



h = [27 20 34 7]
R: 168
R + N: 56



h = [27 20 36 6]
R: 168
R + N: 48



h = [27 20 37 6]
R: 164
R + N: 48



h = [27 20 37 7]
R: 164
R + N: 56



h = [27 22 31 5]
R: 164
R + N: 44



h = [27 22 32 4]
R: 164
R + N: 48



h = [27 22 34 5]
R: 164
R + N: 44



h = [27 22 36 4]
R: 164
R + N: 48



h = [27 23 30 5]
R: 164
R + N: 48



h = [27 23 33 4]
R: 164
R + N: 44



h = [27 23 35 5]
R: 164
R + N: 48



h = [27 23 37 4]
R: 164
R + N: 44



h = [27 24 20 13]
R: 164
R + N: 56



h = [27 24 22 12]
R: 168
R + N: 48



h = [27 24 23 12]
R: 164
R + N: 48



h = [27 24 23 13]
R: 168
R + N: 56



h = [27 24 30 7]
R: 164
R + N: 56



h = [27 24 30 12]
R: 168
R + N: 48



h = [27 24 30 13]
R: 168
R + N: 56



h = [27 24 31 12]
R: 164
R + N: 48



h = [27 24 32 6]
R: 164
R + N: 48



h = [27 24 33 6]
R: 168
R + N: 48



h = [27 24 33 7]
R: 168
R + N: 56



h = [27 24 33 13]
R: 164
R + N: 56



h = [27 24 34 6]
R: 164
R + N: 48



h = [27 24 34 7]
R: 168
R + N: 56



h = [27 24 35 6]
R: 168
R + N: 48



h = [27 24 37 7]
R: 164
R + N: 56



h = [27 25 21 11]
R: 164
R + N: 44



h = [27 25 22 10]
R: 164
R + N: 44



h = [27 25 30 4]
R: 164
R + N: 44



h = [27 25 30 11]
R: 164
R + N: 44



h = [27 25 32 5]
R: 164
R + N: 44



h = [27 25 32 10]
R: 164
R + N: 44



h = [27 25 34 4]
R: 164
R + N: 44



h = [27 25 37 5]
R: 164
R + N: 44



h = [27 34 20 13]
R: 168
R + N: 56



h = [27 34 22 12]
R: 164
R + N: 48



h = [27 34 23 12]
R: 168
R + N: 48



h = [27 34 23 13]
R: 164
R + N: 56



h = [27 34 30 12]
R: 164
R + N: 48



h = [27 34 30 13]
R: 164
R + N: 56



h = [27 34 31 12]
R: 168
R + N: 48



h = [27 34 33 13]
R: 168
R + N: 56



h = [27 36 20 11]
R: 164
R + N: 44



h = [27 36 23 10]
R: 164
R + N: 48



h = [27 36 31 11]
R: 164
R + N: 44



h = [27 36 33 10]
R: 164
R + N: 48



h = [27 37 20 11]
R: 164
R + N: 48



h = [27 37 23 10]
R: 164
R + N: 44



h = [27 37 31 11]
R: 164
R + N: 48



h = [27 37 33 10]
R: 164
R + N: 44



h = [30 2 20 15]
R: 164
R + N: 44



h = [30 2 23 14]
R: 164
R + N: 44



h = [30 2 25 10]
R: 164
R + N: 44



h = [30 2 26 11]
R: 164
R + N: 44



h = [30 2 35 10]
R: 164
R + N: 44



h = [30 2 35 15]
R: 164
R + N: 44



h = [30 2 37 11]
R: 164
R + N: 44



h = [30 2 37 14]
R: 164
R + N: 44



h = [30 3 20 17]
R: 164
R + N: 56



h = [30 3 22 16]
R: 168
R + N: 48



h = [30 3 23 16]
R: 164
R + N: 48



h = [30 3 23 17]
R: 168
R + N: 56



h = [30 3 24 12]
R: 164
R + N: 48



h = [30 3 24 13]
R: 168
R + N: 56



h = [30 3 25 12]
R: 168
R + N: 48



h = [30 3 27 13]
R: 164
R + N: 56



h = [30 3 34 13]
R: 164
R + N: 56



h = [30 3 34 16]
R: 168
R + N: 48



h = [30 3 34 17]
R: 168
R + N: 56



h = [30 3 35 16]
R: 164
R + N: 48



h = [30 3 36 12]
R: 164
R + N: 48



h = [30 3 37 12]
R: 168
R + N: 48



h = [30 3 37 13]
R: 168
R + N: 56



h = [30 10 24 10]
R: 164
R + N: 44



h = [30 10 27 11]
R: 164
R + N: 48



h = [30 10 34 10]
R: 164
R + N: 44



h = [30 10 36 11]
R: 164
R + N: 48



h = [30 11 24 10]
R: 164
R + N: 48



h = [30 11 27 11]
R: 164
R + N: 44



h = [30 11 34 10]
R: 164
R + N: 48



h = [30 11 36 11]
R: 164
R + N: 44



h = [30 13 24 12]
R: 168
R + N: 48



h = [30 13 24 13]
R: 164
R + N: 56



h = [30 13 25 12]
R: 164
R + N: 48



h = [30 13 27 13]
R: 168
R + N: 56



h = [30 13 34 13]
R: 168
R + N: 56



h = [30 13 36 12]
R: 168
R + N: 48



h = [30 13 37 12]
R: 164
R + N: 48



h = [30 13 37 13]
R: 164
R + N: 56



h = [30 14 20 14]
R: 164
R + N: 44



h = [30 14 22 15]
R: 164
R + N: 48



h = [30 14 34 14]
R: 164
R + N: 44



h = [30 14 37 15]
R: 164
R + N: 48



h = [30 15 21 14]
R: 164
R + N: 48



h = [30 15 23 15]
R: 164
R + N: 44



h = [30 15 35 14]
R: 164
R + N: 48



h = [30 15 36 15]
R: 164
R + N: 44



h = [30 17 20 16]
R: 164
R + N: 48



h = [30 17 20 17]
R: 164
R + N: 56



h = [30 17 21 16]
R: 168
R + N: 48



h = [30 17 23 17]
R: 168
R + N: 56



h = [30 17 34 17]
R: 168
R + N: 56



h = [30 17 36 16]
R: 164
R + N: 48



h = [30 17 37 16]
R: 168
R + N: 48



h = [30 17 37 17]
R: 164
R + N: 56



h = [30 20 24 10]
R: 164
R + N: 44



h = [30 20 26 11]
R: 164
R + N: 48



h = [30 20 34 10]
R: 164
R + N: 44



h = [30 20 37 11]
R: 164
R + N: 48



h = [30 21 24 10]
R: 164
R + N: 48



h = [30 21 26 11]
R: 164
R + N: 44



h = [30 21 34 10]
R: 164
R + N: 48



h = [30 21 37 11]
R: 164
R + N: 44



h = [30 23 24 13]
R: 168
R + N: 56



h = [30 23 26 12]
R: 168
R + N: 48



h = [30 23 27 12]
R: 164
R + N: 48



h = [30 23 27 13]
R: 164
R + N: 56



h = [30 23 34 12]
R: 168
R + N: 48



h = [30 23 34 13]
R: 164
R + N: 56



h = [30 23 35 12]
R: 164
R + N: 48



h = [30 23 37 13]
R: 168
R + N: 56



h = [30 32 20 5]
R: 164
R + N: 44



h = [30 32 23 4]
R: 164
R + N: 44



h = [30 32 25 5]
R: 164
R + N: 44



h = [30 32 25 10]
R: 164
R + N: 44



h = [30 32 27 4]
R: 164
R + N: 44



h = [30 32 27 11]
R: 164
R + N: 44



h = [30 32 35 10]
R: 164
R + N: 44



h = [30 32 36 11]
R: 164
R + N: 44



h = [30 33 20 7]
R: 164
R + N: 56



h = [30 33 22 6]
R: 168
R + N: 48



h = [30 33 23 6]
R: 164
R + N: 48



h = [30 33 23 7]
R: 168
R + N: 56



h = [30 33 24 6]
R: 168
R + N: 48



h = [30 33 24 7]
R: 168
R + N: 56



h = [30 33 24 13]
R: 164
R + N: 56



h = [30 33 25 6]
R: 164
R + N: 48



h = [30 33 26 12]
R: 164
R + N: 48



h = [30 33 27 7]
R: 164
R + N: 56



h = [30 33 27 12]
R: 168
R + N: 48



h = [30 33 27 13]
R: 168
R + N: 56



h = [30 33 34 12]
R: 164
R + N: 48



h = [30 33 34 13]
R: 168
R + N: 56



h = [30 33 35 12]
R: 168
R + N: 48



h = [30 33 37 13]
R: 164
R + N: 56



h = [30 34 20 4]
R: 164
R + N: 44



h = [30 34 22 5]
R: 164
R + N: 48



h = [30 34 24 4]
R: 164
R + N: 44



h = [30 34 27 5]
R: 164
R + N: 48



h = [30 35 21 4]
R: 164
R + N: 48



h = [30 35 23 5]
R: 164
R + N: 44



h = [30 35 25 4]
R: 164
R + N: 48



h = [30 35 26 5]
R: 164
R + N: 44



h = [30 37 20 6]
R: 164
R + N: 48



h = [30 37 20 7]
R: 164
R + N: 56



h = [30 37 21 6]
R: 168
R + N: 48



h = [30 37 23 7]
R: 168
R + N: 56



h = [30 37 24 7]
R: 168
R + N: 56



h = [30 37 26 6]
R: 164
R + N: 48



h = [30 37 27 6]
R: 168
R + N: 48



h = [30 37 27 7]
R: 164
R + N: 56



h = [31 2 21 15]
R: 164
R + N: 44



h = [31 2 22 14]
R: 164
R + N: 44



h = [31 2 24 10]
R: 164
R + N: 44



h = [31 2 27 11]
R: 164
R + N: 44



h = [31 2 34 10]
R: 164
R + N: 44



h = [31 2 34 15]
R: 164
R + N: 44



h = [31 2 36 11]
R: 164
R + N: 44



h = [31 2 36 14]
R: 164
R + N: 44



h = [31 3 21 17]
R: 164
R + N: 56



h = [31 3 22 16]
R: 164
R + N: 48



h = [31 3 22 17]
R: 168
R + N: 56



h = [31 3 23 16]
R: 168
R + N: 48



h = [31 3 24 12]
R: 168
R + N: 48



h = [31 3 25 12]
R: 164
R + N: 48



h = [31 3 25 13]
R: 168
R + N: 56



h = [31 3 26 13]
R: 164
R + N: 56



h = [31 3 34 16]
R: 164
R + N: 48



h = [31 3 35 13]
R: 164
R + N: 56



h = [31 3 35 16]
R: 168
R + N: 48



h = [31 3 35 17]
R: 168
R + N: 56



h = [31 3 36 12]
R: 168
R + N: 48



h = [31 3 36 13]
R: 168
R + N: 56



h = [31 3 36 17]
R: 164
R + N: 56



h = [31 3 37 12]
R: 164
R + N: 48



h = [31 10 25 10]
R: 164
R + N: 44



h = [31 10 26 11]
R: 164
R + N: 48



h = [31 10 35 10]
R: 164
R + N: 44



h = [31 10 37 11]
R: 164
R + N: 48



h = [31 11 25 10]
R: 164
R + N: 48



h = [31 11 26 11]
R: 164
R + N: 44



h = [31 11 35 10]
R: 164
R + N: 48



h = [31 11 37 11]
R: 164
R + N: 44



h = [31 13 24 12]
R: 164
R + N: 48



h = [31 13 25 12]
R: 168
R + N: 48



h = [31 13 25 13]
R: 164
R + N: 56



h = [31 13 26 13]
R: 168
R + N: 56



h = [31 13 35 13]
R: 168
R + N: 56



h = [31 13 36 12]
R: 164
R + N: 48



h = [31 13 36 13]
R: 164
R + N: 56



h = [31 13 37 12]
R: 168
R + N: 48



h = [31 14 21 14]
R: 164
R + N: 44



h = [31 14 23 15]
R: 164
R + N: 48



h = [31 14 35 14]
R: 164
R + N: 44



h = [31 14 36 15]
R: 164
R + N: 48



h = [31 15 20 14]
R: 164
R + N: 48



h = [31 15 22 15]
R: 164
R + N: 44



h = [31 15 34 14]
R: 164
R + N: 48



h = [31 15 37 15]
R: 164
R + N: 44



h = [31 17 20 16]
R: 168
R + N: 48



h = [31 17 21 16]
R: 164
R + N: 48



h = [31 17 21 17]
R: 164
R + N: 56



h = [31 17 22 17]
R: 168
R + N: 56



h = [31 17 35 17]
R: 168
R + N: 56



h = [31 17 36 16]
R: 168
R + N: 48



h = [31 17 36 17]
R: 164
R + N: 56



h = [31 17 37 16]
R: 164
R + N: 48



h = [31 20 25 10]
R: 164
R + N: 48



h = [31 20 27 11]
R: 164
R + N: 44



h = [31 20 35 10]
R: 164
R + N: 48



h = [31 20 36 11]
R: 164
R + N: 44



h = [31 21 25 10]
R: 164
R + N: 44



h = [31 21 27 11]
R: 164
R + N: 48



h = [31 21 35 10]
R: 164
R + N: 44



h = [31 21 36 11]
R: 164
R + N: 48



h = [31 22 25 13]
R: 168
R + N: 56



h = [31 22 26 12]
R: 164
R + N: 48



h = [31 22 26 13]
R: 164
R + N: 56



h = [31 22 27 12]
R: 168
R + N: 48



h = [31 22 34 12]
R: 164
R + N: 48



h = [31 22 35 12]
R: 168
R + N: 48



h = [31 22 35 13]
R: 164
R + N: 56



h = [31 22 36 13]
R: 168
R + N: 56



h = [31 32 21 7]
R: 164
R + N: 56



h = [31 32 22 6]
R: 164
R + N: 48



h = [31 32 22 7]
R: 168
R + N: 56



h = [31 32 23 6]
R: 168
R + N: 48



h = [31 32 24 6]
R: 164
R + N: 48



h = [31 32 25 6]
R: 168
R + N: 48



h = [31 32 25 7]
R: 168
R + N: 56



h = [31 32 25 13]
R: 164
R + N: 56



h = [31 32 26 7]
R: 164
R + N: 56



h = [31 32 26 12]
R: 168
R + N: 48



h = [31 32 26 13]
R: 168
R + N: 56



h = [31 32 27 12]
R: 164
R + N: 48



h = [31 32 34 12]
R: 168
R + N: 48



h = [31 32 35 12]
R: 164
R + N: 48



h = [31 32 35 13]
R: 168
R + N: 56



h = [31 32 36 13]
R: 164
R + N: 56



h = [31 33 21 5]
R: 164
R + N: 44



h = [31 33 22 4]
R: 164
R + N: 44



h = [31 33 24 5]
R: 164
R + N: 44



h = [31 33 24 10]
R: 164
R + N: 44



h = [31 33 26 4]
R: 164
R + N: 44



h = [31 33 26 11]
R: 164
R + N: 44



h = [31 33 34 10]
R: 164
R + N: 44



h = [31 33 37 11]
R: 164
R + N: 44



h = [31 34 20 4]
R: 164
R + N: 48



h = [31 34 22 5]
R: 164
R + N: 44



h = [31 34 24 4]
R: 164
R + N: 48



h = [31 34 27 5]
R: 164
R + N: 44



h = [31 35 21 4]
R: 164
R + N: 44



h = [31 35 23 5]
R: 164
R + N: 48



h = [31 35 25 4]
R: 164
R + N: 44



h = [31 35 26 5]
R: 164
R + N: 48



h = [31 36 20 6]
R: 168
R + N: 48



h = [31 36 21 6]
R: 164
R + N: 48



h = [31 36 21 7]
R: 164
R + N: 56



h = [31 36 22 7]
R: 168
R + N: 56



h = [31 36 25 7]
R: 168
R + N: 56



h = [31 36 26 6]
R: 168
R + N: 48



h = [31 36 26 7]
R: 164
R + N: 56



h = [31 36 27 6]
R: 164
R + N: 48



h = [32 2 21 14]
R: 164
R + N: 44



h = [32 2 22 15]
R: 164
R + N: 44



h = [32 2 24 11]
R: 164
R + N: 44



h = [32 2 27 10]
R: 164
R + N: 44



h = [32 2 35 11]
R: 164
R + N: 44



h = [32 2 35 14]
R: 164
R + N: 44



h = [32 2 37 10]
R: 164
R + N: 44



h = [32 2 37 15]
R: 164
R + N: 44



h = [32 3 20 16]
R: 168
R + N: 48



h = [32 3 21 16]
R: 164
R + N: 48



h = [32 3 21 17]
R: 168
R + N: 56



h = [32 3 22 17]
R: 164
R + N: 56



h = [32 3 25 13]
R: 164
R + N: 56



h = [32 3 26 12]
R: 164
R + N: 48



h = [32 3 26 13]
R: 168
R + N: 56



h = [32 3 27 12]
R: 168
R + N: 48



h = [32 3 34 12]
R: 164
R + N: 48



h = [32 3 35 12]
R: 168
R + N: 48



h = [32 3 35 13]
R: 168
R + N: 56



h = [32 3 35 17]
R: 164
R + N: 56



h = [32 3 36 13]
R: 164
R + N: 56



h = [32 3 36 16]
R: 168
R + N: 48



h = [32 3 36 17]
R: 168
R + N: 56



h = [32 3 37 16]
R: 164
R + N: 48



h = [32 10 25 11]
R: 164
R + N: 48



h = [32 10 26 10]
R: 164
R + N: 44



h = [32 10 34 11]
R: 164
R + N: 48



h = [32 10 36 10]
R: 164
R + N: 44



h = [32 11 25 11]
R: 164
R + N: 44



h = [32 11 26 10]
R: 164
R + N: 48



h = [32 11 34 11]
R: 164
R + N: 44



h = [32 11 36 10]
R: 164
R + N: 48



h = [32 13 25 13]
R: 168
R + N: 56



h = [32 13 26 12]
R: 168
R + N: 48



h = [32 13 26 13]
R: 164
R + N: 56



h = [32 13 27 12]
R: 164
R + N: 48



h = [32 13 34 12]
R: 168
R + N: 48



h = [32 13 35 12]
R: 164
R + N: 48



h = [32 13 35 13]
R: 164
R + N: 56



h = [32 13 36 13]
R: 168
R + N: 56



h = [32 14 20 15]
R: 164
R + N: 48



h = [32 14 22 14]
R: 164
R + N: 44



h = [32 14 35 15]
R: 164
R + N: 48



h = [32 14 36 14]
R: 164
R + N: 44



h = [32 15 21 15]
R: 164
R + N: 44



h = [32 15 23 14]
R: 164
R + N: 48



h = [32 15 34 15]
R: 164
R + N: 44



h = [32 15 37 14]
R: 164
R + N: 48



h = [32 17 21 17]
R: 168
R + N: 56



h = [32 17 22 16]
R: 164
R + N: 48



h = [32 17 22 17]
R: 164
R + N: 56



h = [32 17 23 16]
R: 168
R + N: 48



h = [32 17 34 16]
R: 164
R + N: 48



h = [32 17 35 16]
R: 168
R + N: 48



h = [32 17 35 17]
R: 164
R + N: 56



h = [32 17 36 17]
R: 168
R + N: 56



h = [32 21 24 12]
R: 168
R + N: 48



h = [32 21 25 12]
R: 164
R + N: 48



h = [32 21 25 13]
R: 164
R + N: 56



h = [32 21 26 13]
R: 168
R + N: 56



h = [32 21 35 13]
R: 168
R + N: 56



h = [32 21 36 12]
R: 168
R + N: 48



h = [32 21 36 13]
R: 164
R + N: 56



h = [32 21 37 12]
R: 164
R + N: 48



h = [32 22 24 11]
R: 164
R + N: 48



h = [32 22 26 10]
R: 164
R + N: 44



h = [32 22 35 11]
R: 164
R + N: 48



h = [32 22 36 10]
R: 164
R + N: 44



h = [32 23 24 11]
R: 164
R + N: 44



h = [32 23 26 10]
R: 164
R + N: 48



h = [32 23 35 11]
R: 164
R + N: 44



h = [32 23 36 10]
R: 164
R + N: 48



h = [32 30 21 4]
R: 164
R + N: 44



h = [32 30 22 5]
R: 164
R + N: 44



h = [32 30 25 4]
R: 164
R + N: 44



h = [32 30 25 11]
R: 164
R + N: 44



h = [32 30 27 5]
R: 164
R + N: 44



h = [32 30 27 10]
R: 164
R + N: 44



h = [32 30 34 11]
R: 164
R + N: 44



h = [32 30 37 10]
R: 164
R + N: 44



h = [32 31 20 6]
R: 168
R + N: 48



h = [32 31 21 6]
R: 164
R + N: 48



h = [32 31 21 7]
R: 168
R + N: 56



h = [32 31 22 7]
R: 164
R + N: 56



h = [32 31 24 12]
R: 164
R + N: 48



h = [32 31 25 7]
R: 164
R + N: 56



h = [32 31 25 12]
R: 168
R + N: 48



h = [32 31 25 13]
R: 168
R + N: 56



h = [32 31 26 6]
R: 168
R + N: 48



h = [32 31 26 7]
R: 168
R + N: 56



h = [32 31 26 13]
R: 164
R + N: 56



h = [32 31 27 6]
R: 164
R + N: 48



h = [32 31 35 13]
R: 164
R + N: 56



h = [32 31 36 12]
R: 164
R + N: 48



h = [32 31 36 13]
R: 168
R + N: 56



h = [32 31 37 12]
R: 168
R + N: 48



h = [32 35 21 7]
R: 168
R + N: 56



h = [32 35 22 6]
R: 164
R + N: 48



h = [32 35 22 7]
R: 164
R + N: 56



h = [32 35 23 6]
R: 168
R + N: 48



h = [32 35 24 6]
R: 164
R + N: 48



h = [32 35 25 7]
R: 164
R + N: 56



h = [32 35 26 7]
R: 168
R + N: 56



h = [32 36 20 5]
R: 164
R + N: 48



h = [32 36 22 4]
R: 164
R + N: 44



h = [32 36 25 5]
R: 164
R + N: 48



h = [32 36 26 4]
R: 164
R + N: 44



h = [32 37 21 5]
R: 164
R + N: 44



h = [32 37 23 4]
R: 164
R + N: 48



h = [32 37 24 5]
R: 164
R + N: 44



h = [32 37 27 4]
R: 164
R + N: 48



h = [33 2 20 14]
R: 164
R + N: 44



h = [33 2 23 15]
R: 164
R + N: 44



h = [33 2 25 11]
R: 164
R + N: 44



h = [33 2 26 10]
R: 164
R + N: 44



h = [33 2 34 11]
R: 164
R + N: 44



h = [33 2 34 14]
R: 164
R + N: 44



h = [33 2 36 10]
R: 164
R + N: 44



h = [33 2 36 15]
R: 164
R + N: 44



h = [33 3 20 16]
R: 164
R + N: 48



h = [33 3 20 17]
R: 168
R + N: 56



h = [33 3 21 16]
R: 168
R + N: 48



h = [33 3 23 17]
R: 164
R + N: 56



h = [33 3 24 13]
R: 164
R + N: 56



h = [33 3 26 12]
R: 168
R + N: 48



h = [33 3 27 12]
R: 164
R + N: 48



h = [33 3 27 13]
R: 168
R + N: 56



h = [33 3 34 12]
R: 168
R + N: 48



h = [33 3 34 17]
R: 164
R + N: 56



h = [33 3 35 12]
R: 164
R + N: 48



h = [33 3 36 16]
R: 164
R + N: 48



h = [33 3 37 13]
R: 164
R + N: 56



h = [33 3 37 16]
R: 168
R + N: 48



h = [33 3 37 17]
R: 168
R + N: 56



h = [33 10 24 11]
R: 164
R + N: 48



h = [33 10 27 10]
R: 164
R + N: 44



h = [33 10 35 11]
R: 164
R + N: 48



h = [33 10 37 10]
R: 164
R + N: 44



h = [33 11 24 11]
R: 164
R + N: 44



h = [33 11 27 10]
R: 164
R + N: 48



h = [33 11 35 11]
R: 164
R + N: 44



h = [33 11 37 10]
R: 164
R + N: 48



h = [33 13 24 13]
R: 168
R + N: 56



h = [33 13 26 12]
R: 164
R + N: 48



h = [33 13 27 12]
R: 168
R + N: 48



h = [33 13 27 13]
R: 164
R + N: 56



h = [33 13 34 12]
R: 164
R + N: 48



h = [33 13 34 13]
R: 164
R + N: 56



h = [33 13 35 12]
R: 168
R + N: 48



h = [33 13 37 13]
R: 168
R + N: 56



h = [33 14 21 15]
R: 164
R + N: 48



h = [33 14 23 14]
R: 164
R + N: 44



h = [33 14 34 15]
R: 164
R + N: 48



h = [33 14 37 14]
R: 164
R + N: 44



h = [33 15 20 15]
R: 164
R + N: 44



h = [33 15 22 14]
R: 164
R + N: 48



h = [33 15 35 15]
R: 164
R + N: 44



h = [33 15 36 14]
R: 164
R + N: 48



h = [33 17 20 17]
R: 168
R + N: 56



h = [33 17 22 16]
R: 168
R + N: 48



h = [33 17 23 16]
R: 164
R + N: 48



h = [33 17 23 17]
R: 164
R + N: 56



h = [33 17 34 16]
R: 168
R + N: 48



h = [33 17 34 17]
R: 164
R + N: 56



h = [33 17 35 16]
R: 164
R + N: 48



h = [33 17 37 17]
R: 168
R + N: 56



h = [33 20 24 12]
R: 164
R + N: 48



h = [33 20 24 13]
R: 164
R + N: 56



h = [33 20 25 12]
R: 168
R + N: 48



h = [33 20 27 13]
R: 168
R + N: 56



h = [33 20 34 13]
R: 168
R + N: 56



h = [33 20 36 12]
R: 164
R + N: 48



h = [33 20 37 12]
R: 168
R + N: 48



h = [33 20 37 13]
R: 164
R + N: 56



h = [33 22 25 11]
R: 164
R + N: 44



h = [33 22 27 10]
R: 164
R + N: 48



h = [33 22 34 11]
R: 164
R + N: 44



h = [33 22 37 10]
R: 164
R + N: 48



h = [33 23 25 11]
R: 164
R + N: 48



h = [33 23 27 10]
R: 164
R + N: 44



h = [33 23 34 11]
R: 164
R + N: 48



h = [33 23 37 10]
R: 164
R + N: 44



h = [33 30 20 6]
R: 164
R + N: 48



h = [33 30 20 7]
R: 168
R + N: 56



h = [33 30 21 6]
R: 168
R + N: 48



h = [33 30 23 7]
R: 164
R + N: 56



h = [33 30 24 7]
R: 164
R + N: 56



h = [33 30 24 12]
R: 168
R + N: 48



h = [33 30 24 13]
R: 168
R + N: 56



h = [33 30 25 12]
R: 164
R + N: 48



h = [33 30 26 6]
R: 164
R + N: 48



h = [33 30 27 6]
R: 168
R + N: 48



h = [33 30 27 7]
R: 168
R + N: 56



h = [33 30 27 13]
R: 164
R + N: 56



h = [33 30 34 13]
R: 164
R + N: 56



h = [33 30 36 12]
R: 168
R + N: 48



h = [33 30 37 12]
R: 164
R + N: 48



h = [33 30 37 13]
R: 168
R + N: 56



h = [33 31 20 4]
R: 164
R + N: 44



h = [33 31 23 5]
R: 164
R + N: 44



h = [33 31 24 4]
R: 164
R + N: 44



h = [33 31 24 11]
R: 164
R + N: 44



h = [33 31 26 5]
R: 164
R + N: 44



h = [33 31 26 10]
R: 164
R + N: 44



h = [33 31 35 11]
R: 164
R + N: 44



h = [33 31 36 10]
R: 164
R + N: 44



h = [33 34 20 7]
R: 168
R + N: 56



h = [33 34 22 6]
R: 168
R + N: 48



h = [33 34 23 6]
R: 164
R + N: 48



h = [33 34 23 7]
R: 164
R + N: 56



h = [33 34 24 6]
R: 168
R + N: 48



h = [33 34 24 7]
R: 164
R + N: 56



h = [33 34 25 6]
R: 164
R + N: 48



h = [33 34 27 7]
R: 168
R + N: 56



h = [33 36 20 5]
R: 164
R + N: 44



h = [33 36 22 4]
R: 164
R + N: 48



h = [33 36 25 5]
R: 164
R + N: 44



h = [33 36 26 4]
R: 164
R + N: 48



h = [33 37 21 5]
R: 164
R + N: 48



h = [33 37 23 4]
R: 164
R + N: 44



h = [33 37 24 5]
R: 164
R + N: 48



h = [33 37 27 4]
R: 164
R + N: 44



h = [34 2 21 10]
R: 164
R + N: 44



h = [34 2 22 11]
R: 164
R + N: 44



h = [34 2 24 15]
R: 164
R + N: 44



h = [34 2 27 14]
R: 164
R + N: 44



h = [34 2 31 10]
R: 164
R + N: 44



h = [34 2 31 15]
R: 164
R + N: 44



h = [34 2 33 11]
R: 164
R + N: 44



h = [34 2 33 14]
R: 164
R + N: 44



h = [34 3 20 12]
R: 164
R + N: 48



h = [34 3 20 13]
R: 168
R + N: 56



h = [34 3 21 12]
R: 168
R + N: 48



h = [34 3 23 13]
R: 164
R + N: 56



h = [34 3 24 17]
R: 164
R + N: 56



h = [34 3 26 16]
R: 168
R + N: 48



h = [34 3 27 16]
R: 164
R + N: 48



h = [34 3 27 17]
R: 168
R + N: 56



h = [34 3 30 13]
R: 164
R + N: 56



h = [34 3 30 16]
R: 168
R + N: 48



h = [34 3 30 17]
R: 168
R + N: 56



h = [34 3 31 16]
R: 164
R + N: 48



h = [34 3 32 12]
R: 164
R + N: 48



h = [34 3 33 12]
R: 168
R + N: 48



h = [34 3 33 13]
R: 168
R + N: 56



h = [34 3 33 17]
R: 164
R + N: 56



h = [34 10 20 10]
R: 164
R + N: 44



h = [34 10 23 11]
R: 164
R + N: 48



h = [34 10 30 10]
R: 164
R + N: 44



h = [34 10 32 11]
R: 164
R + N: 48



h = [34 11 20 10]
R: 164
R + N: 48



h = [34 11 23 11]
R: 164
R + N: 44



h = [34 11 30 10]
R: 164
R + N: 48



h = [34 11 32 11]
R: 164
R + N: 44



h = [34 13 20 12]
R: 168
R + N: 48



h = [34 13 20 13]
R: 164
R + N: 56



h = [34 13 21 12]
R: 164
R + N: 48



h = [34 13 23 13]
R: 168
R + N: 56



h = [34 13 30 13]
R: 168
R + N: 56



h = [34 13 32 12]
R: 168
R + N: 48



h = [34 13 33 12]
R: 164
R + N: 48



h = [34 13 33 13]
R: 164
R + N: 56



h = [34 14 24 14]
R: 164
R + N: 44



h = [34 14 26 15]
R: 164
R + N: 48



h = [34 14 30 14]
R: 164
R + N: 44



h = [34 14 33 15]
R: 164
R + N: 48



h = [34 15 25 14]
R: 164
R + N: 48



h = [34 15 27 15]
R: 164
R + N: 44



h = [34 15 31 14]
R: 164
R + N: 48



h = [34 15 32 15]
R: 164
R + N: 44



h = [34 17 24 16]
R: 164
R + N: 48



h = [34 17 24 17]
R: 164
R + N: 56



h = [34 17 25 16]
R: 168
R + N: 48



h = [34 17 27 17]
R: 168
R + N: 56



h = [34 17 30 17]
R: 168
R + N: 56



h = [34 17 32 16]
R: 164
R + N: 48



h = [34 17 33 16]
R: 168
R + N: 48



h = [34 17 33 17]
R: 164
R + N: 56



h = [34 24 20 10]
R: 164
R + N: 44



h = [34 24 22 11]
R: 164
R + N: 48



h = [34 24 30 10]
R: 164
R + N: 44



h = [34 24 33 11]
R: 164
R + N: 48



h = [34 25 20 10]
R: 164
R + N: 48



h = [34 25 22 11]
R: 164
R + N: 44



h = [34 25 30 10]
R: 164
R + N: 48



h = [34 25 33 11]
R: 164
R + N: 44



h = [34 27 20 13]
R: 168
R + N: 56



h = [34 27 22 12]
R: 168
R + N: 48



h = [34 27 23 12]
R: 164
R + N: 48



h = [34 27 23 13]
R: 164
R + N: 56



h = [34 27 30 12]
R: 168
R + N: 48



h = [34 27 30 13]
R: 164
R + N: 56



h = [34 27 31 12]
R: 164
R + N: 48



h = [34 27 33 13]
R: 168
R + N: 56



h = [34 30 20 4]
R: 164
R + N: 44



h = [34 30 23 5]
R: 164
R + N: 48



h = [34 30 24 4]
R: 164
R + N: 44



h = [34 30 26 5]
R: 164
R + N: 48



h = [34 31 21 4]
R: 164
R + N: 48



h = [34 31 22 5]
R: 164
R + N: 44



h = [34 31 25 4]
R: 164
R + N: 48



h = [34 31 27 5]
R: 164
R + N: 44



h = [34 33 20 7]
R: 168
R + N: 56



h = [34 33 22 6]
R: 164
R + N: 48



h = [34 33 23 6]
R: 168
R + N: 48



h = [34 33 23 7]
R: 164
R + N: 56



h = [34 33 24 6]
R: 164
R + N: 48



h = [34 33 24 7]
R: 164
R + N: 56



h = [34 33 25 6]
R: 168
R + N: 48



h = [34 33 27 7]
R: 168
R + N: 56



h = [34 36 21 5]
R: 164
R + N: 44



h = [34 36 21 10]
R: 164
R + N: 44



h = [34 36 23 4]
R: 164
R + N: 44



h = [34 36 23 11]
R: 164
R + N: 44



h = [34 36 24 5]
R: 164
R + N: 44



h = [34 36 27 4]
R: 164
R + N: 44



h = [34 36 31 10]
R: 164
R + N: 44



h = [34 36 32 11]
R: 164
R + N: 44



h = [34 37 20 6]
R: 168
R + N: 48



h = [34 37 20 7]
R: 168
R + N: 56



h = [34 37 20 13]
R: 164
R + N: 56



h = [34 37 21 6]
R: 164
R + N: 48



h = [34 37 22 12]
R: 164
R + N: 48



h = [34 37 23 7]
R: 164
R + N: 56



h = [34 37 23 12]
R: 168
R + N: 48



h = [34 37 23 13]
R: 168
R + N: 56



h = [34 37 24 7]
R: 164
R + N: 56



h = [34 37 26 6]
R: 168
R + N: 48



h = [34 37 27 6]
R: 164
R + N: 48



h = [34 37 27 7]
R: 168
R + N: 56



h = [34 37 30 12]
R: 164
R + N: 48



h = [34 37 30 13]
R: 168
R + N: 56



h = [34 37 31 12]
R: 168
R + N: 48



h = [34 37 33 13]
R: 164
R + N: 56



h = [35 2 20 10]
R: 164
R + N: 44



h = [35 2 23 11]
R: 164
R + N: 44



h = [35 2 25 15]
R: 164
R + N: 44



h = [35 2 26 14]
R: 164
R + N: 44



h = [35 2 30 10]
R: 164
R + N: 44



h = [35 2 30 15]
R: 164
R + N: 44



h = [35 2 32 11]
R: 164
R + N: 44



h = [35 2 32 14]
R: 164
R + N: 44



h = [35 3 20 12]
R: 168
R + N: 48



h = [35 3 21 12]
R: 164
R + N: 48



h = [35 3 21 13]
R: 168
R + N: 56



h = [35 3 22 13]
R: 164
R + N: 56



h = [35 3 25 17]
R: 164
R + N: 56



h = [35 3 26 16]
R: 164
R + N: 48



h = [35 3 26 17]
R: 168
R + N: 56



h = [35 3 27 16]
R: 168
R + N: 48



h = [35 3 30 16]
R: 164
R + N: 48



h = [35 3 31 13]
R: 164
R + N: 56



h = [35 3 31 16]
R: 168
R + N: 48



h = [35 3 31 17]
R: 168
R + N: 56



h = [35 3 32 12]
R: 168
R + N: 48



h = [35 3 32 13]
R: 168
R + N: 56



h = [35 3 32 17]
R: 164
R + N: 56



h = [35 3 33 12]
R: 164
R + N: 48



h = [35 10 21 10]
R: 164
R + N: 44



h = [35 10 22 11]
R: 164
R + N: 48



h = [35 10 31 10]
R: 164
R + N: 44



h = [35 10 33 11]
R: 164
R + N: 48



h = [35 11 21 10]
R: 164
R + N: 48



h = [35 11 22 11]
R: 164
R + N: 44



h = [35 11 31 10]
R: 164
R + N: 48



h = [35 11 33 11]
R: 164
R + N: 44



h = [35 13 20 12]
R: 164
R + N: 48



h = [35 13 21 12]
R: 168
R + N: 48



h = [35 13 21 13]
R: 164
R + N: 56



h = [35 13 22 13]
R: 168
R + N: 56



h = [35 13 31 13]
R: 168
R + N: 56



h = [35 13 32 12]
R: 164
R + N: 48



h = [35 13 32 13]
R: 164
R + N: 56



h = [35 13 33 12]
R: 168
R + N: 48



h = [35 14 25 14]
R: 164
R + N: 44



h = [35 14 27 15]
R: 164
R + N: 48



h = [35 14 31 14]
R: 164
R + N: 44



h = [35 14 32 15]
R: 164
R + N: 48



h = [35 15 24 14]
R: 164
R + N: 48



h = [35 15 26 15]
R: 164
R + N: 44



h = [35 15 30 14]
R: 164
R + N: 48



h = [35 15 33 15]
R: 164
R + N: 44



h = [35 17 24 16]
R: 168
R + N: 48



h = [35 17 25 16]
R: 164
R + N: 48



h = [35 17 25 17]
R: 164
R + N: 56



h = [35 17 26 17]
R: 168
R + N: 56



h = [35 17 31 17]
R: 168
R + N: 56



h = [35 17 32 16]
R: 168
R + N: 48



h = [35 17 32 17]
R: 164
R + N: 56



h = [35 17 33 16]
R: 164
R + N: 48



h = [35 24 21 10]
R: 164
R + N: 48



h = [35 24 23 11]
R: 164
R + N: 44



h = [35 24 31 10]
R: 164
R + N: 48



h = [35 24 32 11]
R: 164
R + N: 44



h = [35 25 21 10]
R: 164
R + N: 44



h = [35 25 23 11]
R: 164
R + N: 48



h = [35 25 31 10]
R: 164
R + N: 44



h = [35 25 32 11]
R: 164
R + N: 48



h = [35 26 21 13]
R: 168
R + N: 56



h = [35 26 22 12]
R: 164
R + N: 48



h = [35 26 22 13]
R: 164
R + N: 56



h = [35 26 23 12]
R: 168
R + N: 48



h = [35 26 30 12]
R: 164
R + N: 48



h = [35 26 31 12]
R: 168
R + N: 48



h = [35 26 31 13]
R: 164
R + N: 56



h = [35 26 32 13]
R: 168
R + N: 56



h = [35 30 20 4]
R: 164
R + N: 48



h = [35 30 23 5]
R: 164
R + N: 44



h = [35 30 24 4]
R: 164
R + N: 48



h = [35 30 26 5]
R: 164
R + N: 44



h = [35 31 21 4]
R: 164
R + N: 44



h = [35 31 22 5]
R: 164
R + N: 48



h = [35 31 25 4]
R: 164
R + N: 44



h = [35 31 27 5]
R: 164
R + N: 48



h = [35 32 21 7]
R: 168
R + N: 56



h = [35 32 22 6]
R: 168
R + N: 48



h = [35 32 22 7]
R: 164
R + N: 56



h = [35 32 23 6]
R: 164
R + N: 48



h = [35 32 24 6]
R: 168
R + N: 48



h = [35 32 25 6]
R: 164
R + N: 48



h = [35 32 25 7]
R: 164
R + N: 56



h = [35 32 26 7]
R: 168
R + N: 56



h = [35 36 20 6]
R: 164
R + N: 48



h = [35 36 21 6]
R: 168
R + N: 48



h = [35 36 21 7]
R: 168
R + N: 56



h = [35 36 21 13]
R: 164
R + N: 56



h = [35 36 22 7]
R: 164
R + N: 56



h = [35 36 22 12]
R: 168
R + N: 48



h = [35 36 22 13]
R: 168
R + N: 56



h = [35 36 23 12]
R: 164
R + N: 48



h = [35 36 25 7]
R: 164
R + N: 56



h = [35 36 26 6]
R: 164
R + N: 48



h = [35 36 26 7]
R: 168
R + N: 56



h = [35 36 27 6]
R: 168
R + N: 48



h = [35 36 30 12]
R: 168
R + N: 48



h = [35 36 31 12]
R: 164
R + N: 48



h = [35 36 31 13]
R: 168
R + N: 56



h = [35 36 32 13]
R: 164
R + N: 56



h = [35 37 20 5]
R: 164
R + N: 44



h = [35 37 20 10]
R: 164
R + N: 44



h = [35 37 22 4]
R: 164
R + N: 44



h = [35 37 22 11]
R: 164
R + N: 44



h = [35 37 25 5]
R: 164
R + N: 44



h = [35 37 26 4]
R: 164
R + N: 44



h = [35 37 30 10]
R: 164
R + N: 44



h = [35 37 33 11]
R: 164
R + N: 44



h = [36 2 20 11]
R: 164
R + N: 44



h = [36 2 23 10]
R: 164
R + N: 44



h = [36 2 25 14]
R: 164
R + N: 44



h = [36 2 26 15]
R: 164
R + N: 44



h = [36 2 31 11]
R: 164
R + N: 44



h = [36 2 31 14]
R: 164
R + N: 44



h = [36 2 33 10]
R: 164
R + N: 44



h = [36 2 33 15]
R: 164
R + N: 44



h = [36 3 21 13]
R: 164
R + N: 56



h = [36 3 22 12]
R: 164
R + N: 48



h = [36 3 22 13]
R: 168
R + N: 56



h = [36 3 23 12]
R: 168
R + N: 48



h = [36 3 24 16]
R: 168
R + N: 48



h = [36 3 25 16]
R: 164
R + N: 48



h = [36 3 25 17]
R: 168
R + N: 56



h = [36 3 26 17]
R: 164
R + N: 56



h = [36 3 30 12]
R: 164
R + N: 48



h = [36 3 31 12]
R: 168
R + N: 48



h = [36 3 31 13]
R: 168
R + N: 56



h = [36 3 31 17]
R: 164
R + N: 56



h = [36 3 32 13]
R: 164
R + N: 56



h = [36 3 32 16]
R: 168
R + N: 48



h = [36 3 32 17]
R: 168
R + N: 56



h = [36 3 33 16]
R: 164
R + N: 48



h = [36 10 21 11]
R: 164
R + N: 48



h = [36 10 22 10]
R: 164
R + N: 44



h = [36 10 30 11]
R: 164
R + N: 48



h = [36 10 32 10]
R: 164
R + N: 44



h = [36 11 21 11]
R: 164
R + N: 44



h = [36 11 22 10]
R: 164
R + N: 48



h = [36 11 30 11]
R: 164
R + N: 44



h = [36 11 32 10]
R: 164
R + N: 48



h = [36 13 21 13]
R: 168
R + N: 56



h = [36 13 22 12]
R: 168
R + N: 48



h = [36 13 22 13]
R: 164
R + N: 56



h = [36 13 23 12]
R: 164
R + N: 48



h = [36 13 30 12]
R: 168
R + N: 48



h = [36 13 31 12]
R: 164
R + N: 48



h = [36 13 31 13]
R: 164
R + N: 56



h = [36 13 32 13]
R: 168
R + N: 56



h = [36 14 24 15]
R: 164
R + N: 48



h = [36 14 26 14]
R: 164
R + N: 44



h = [36 14 31 15]
R: 164
R + N: 48



h = [36 14 32 14]
R: 164
R + N: 44



h = [36 15 25 15]
R: 164
R + N: 44



h = [36 15 27 14]
R: 164
R + N: 48



h = [36 15 30 15]
R: 164
R + N: 44



h = [36 15 33 14]
R: 164
R + N: 48



h = [36 17 25 17]
R: 168
R + N: 56



h = [36 17 26 16]
R: 164
R + N: 48



h = [36 17 26 17]
R: 164
R + N: 56



h = [36 17 27 16]
R: 168
R + N: 48



h = [36 17 30 16]
R: 164
R + N: 48



h = [36 17 31 16]
R: 168
R + N: 48



h = [36 17 31 17]
R: 164
R + N: 56



h = [36 17 32 17]
R: 168
R + N: 56



h = [36 25 20 12]
R: 168
R + N: 48



h = [36 25 21 12]
R: 164
R + N: 48



h = [36 25 21 13]
R: 164
R + N: 56



h = [36 25 22 13]
R: 168
R + N: 56



h = [36 25 31 13]
R: 168
R + N: 56



h = [36 25 32 12]
R: 168
R + N: 48



h = [36 25 32 13]
R: 164
R + N: 56



h = [36 25 33 12]
R: 164
R + N: 48



h = [36 26 20 11]
R: 164
R + N: 48



h = [36 26 22 10]
R: 164
R + N: 44



h = [36 26 31 11]
R: 164
R + N: 48



h = [36 26 32 10]
R: 164
R + N: 44



h = [36 27 20 11]
R: 164
R + N: 44



h = [36 27 22 10]
R: 164
R + N: 48



h = [36 27 31 11]
R: 164
R + N: 44



h = [36 27 32 10]
R: 164
R + N: 48



h = [36 31 20 6]
R: 164
R + N: 48



h = [36 31 21 6]
R: 168
R + N: 48



h = [36 31 21 7]
R: 164
R + N: 56



h = [36 31 22 7]
R: 168
R + N: 56



h = [36 31 25 7]
R: 168
R + N: 56



h = [36 31 26 6]
R: 164
R + N: 48



h = [36 31 26 7]
R: 164
R + N: 56



h = [36 31 27 6]
R: 168
R + N: 48



h = [36 32 21 5]
R: 164
R + N: 48



h = [36 32 22 4]
R: 164
R + N: 44



h = [36 32 24 5]
R: 164
R + N: 48



h = [36 32 26 4]
R: 164
R + N: 44



h = [36 33 20 5]
R: 164
R + N: 44



h = [36 33 23 4]
R: 164
R + N: 48



h = [36 33 25 5]
R: 164
R + N: 44



h = [36 33 27 4]
R: 164
R + N: 48



h = [36 34 21 4]
R: 164
R + N: 44



h = [36 34 21 11]
R: 164
R + N: 44



h = [36 34 23 5]
R: 164
R + N: 44



h = [36 34 23 10]
R: 164
R + N: 44



h = [36 34 25 4]
R: 164
R + N: 44



h = [36 34 26 5]
R: 164
R + N: 44



h = [36 34 30 11]
R: 164
R + N: 44



h = [36 34 33 10]
R: 164
R + N: 44



h = [36 35 20 12]
R: 164
R + N: 48



h = [36 35 21 7]
R: 164
R + N: 56



h = [36 35 21 12]
R: 168
R + N: 48



h = [36 35 21 13]
R: 168
R + N: 56



h = [36 35 22 6]
R: 168
R + N: 48



h = [36 35 22 7]
R: 168
R + N: 56



h = [36 35 22 13]
R: 164
R + N: 56



h = [36 35 23 6]
R: 164
R + N: 48



h = [36 35 24 6]
R: 168
R + N: 48



h = [36 35 25 6]
R: 164
R + N: 48



h = [36 35 25 7]
R: 168
R + N: 56



h = [36 35 26 7]
R: 164
R + N: 56



h = [36 35 31 13]
R: 164
R + N: 56



h = [36 35 32 12]
R: 164
R + N: 48



h = [36 35 32 13]
R: 168
R + N: 56



h = [36 35 33 12]
R: 168
R + N: 48



h = [37 2 21 11]
R: 164
R + N: 44



h = [37 2 22 10]
R: 164
R + N: 44



h = [37 2 24 14]
R: 164
R + N: 44



h = [37 2 27 15]
R: 164
R + N: 44



h = [37 2 30 11]
R: 164
R + N: 44



h = [37 2 30 14]
R: 164
R + N: 44



h = [37 2 32 10]
R: 164
R + N: 44



h = [37 2 32 15]
R: 164
R + N: 44



h = [37 3 20 13]
R: 164
R + N: 56



h = [37 3 22 12]
R: 168
R + N: 48



h = [37 3 23 12]
R: 164
R + N: 48



h = [37 3 23 13]
R: 168
R + N: 56



h = [37 3 24 16]
R: 164
R + N: 48



h = [37 3 24 17]
R: 168
R + N: 56



h = [37 3 25 16]
R: 168
R + N: 48



h = [37 3 27 17]
R: 164
R + N: 56



h = [37 3 30 12]
R: 168
R + N: 48



h = [37 3 30 13]
R: 168
R + N: 56



h = [37 3 30 17]
R: 164
R + N: 56



h = [37 3 31 12]
R: 164
R + N: 48



h = [37 3 32 16]
R: 164
R + N: 48



h = [37 3 33 13]
R: 164
R + N: 56



h = [37 3 33 16]
R: 168
R + N: 48



h = [37 3 33 17]
R: 168
R + N: 56



h = [37 10 20 11]
R: 164
R + N: 48



h = [37 10 23 10]
R: 164
R + N: 44



h = [37 10 31 11]
R: 164
R + N: 48



h = [37 10 33 10]
R: 164
R + N: 44



h = [37 11 20 11]
R: 164
R + N: 44



h = [37 11 23 10]
R: 164
R + N: 48



h = [37 11 31 11]
R: 164
R + N: 44



h = [37 11 33 10]
R: 164
R + N: 48



h = [37 13 20 13]
R: 168
R + N: 56



h = [37 13 22 13]
R: 164
R + N: 48



h = [37 13 23 12]
R: 168
R + N: 48



h = [37 13 23 13]
R: 164
R + N: 56



h = [37 13 30 12]
R: 164
R + N: 48



h = [37 13 30 13]
R: 164
R + N: 56



h = [37 13 31 12]
R: 168
R + N: 48



h = [37 13 33 13]
R: 168
R + N: 56



h = [37 14 25 15]
R: 164
R + N: 48



h = [37 14 27 14]
R: 164
R + N: 44



h = [37 14 30 15]
R: 164
R + N: 48



h = [37 14 33 14]
R: 164
R + N: 44



h = [37 15 24 15]
R: 164
R + N: 44



h = [37 15 26 14]
R: 164
R + N: 48



h = [37 15 31 15]
R: 164
R + N: 44



h = [37 15 32 14]
R: 164
R + N: 48



h = [37 17 24 17]
R: 168
R + N: 56



h = [37 17 26 16]
R: 168
R + N: 48



h = [37 17 27 16]
R: 164
R + N: 48



h = [37 17 27 17]
R: 164
R + N: 56



h = [37 17 30 16]
R: 168
R + N: 48



h = [37 17 30 17]
R: 164
R + N: 56



h = [37 17 31 16]
R: 164
R + N: 48



h = [37 17 33 17]
R: 168
R + N: 56



h = [37 24 20 12]
R: 164
R + N: 48



h = [37 24 20 13]
R: 164
R + N: 56



h = [37 24 21 12]
R: 168
R + N: 48



h = [37 24 23 13]
R: 168
R + N: 56



h = [37 24 30 13]
R: 168
R + N: 56



h = [37 24 32 12]
R: 164
R + N: 48



h = [37 24 33 12]
R: 168
R + N: 48



h = [37 24 33 13]
R: 164
R + N: 56



h = [37 26 21 11]
R: 164
R + N: 44



h = [37 26 23 10]
R: 164
R + N: 48



h = [37 26 30 11]
R: 164
R + N: 44



h = [37 26 33 10]
R: 164
R + N: 48



h = [37 27 21 11]
R: 164
R + N: 48



h = [37 27 23 10]
R: 164
R + N: 44



h = [37 27 30 11]
R: 164
R + N: 48



h = [37 27 33 10]
R: 164
R + N: 44



h = [37 30 20 6]
R: 168
R + N: 48



h = [37 30 20 7]
R: 164
R + N: 56



h = [37 30 21 6]
R: 164
R + N: 48



h = [37 30 23 7]
R: 168
R + N: 56



h = [37 30 24 7]
R: 168
R + N: 56



h = [37 30 26 6]
R: 168
R + N: 48



h = [37 30 27 6]
R: 164
R + N: 48



h = [37 30 27 7]
R: 164
R + N: 56



h = [37 32 21 5]
R: 164
R + N: 44



h = [37 32 22 4]
R: 164
R + N: 48



h = [37 32 24 5]
R: 164
R + N: 44



h = [37 32 26 4]
R: 164
R + N: 48



h = [37 33 20 5]
R: 164
R + N: 48



h = [37 33 23 4]
R: 164
R + N: 44



h = [37 33 25 5]
R: 164
R + N: 48



h = [37 33 27 4]
R: 164
R + N: 44



h = [37 34 20 7]
R: 164
R + N: 56



h = [37 34 20 12]
R: 168
R + N: 48



h = [37 34 20 13]
R: 168
R + N: 56



h = [37 34 21 12]
R: 164
R + N: 48



h = [37 34 22 6]
R: 164
R + N: 48



h = [37 34 23 6]
R: 168
R + N: 48



h = [37 34 23 7]
R: 168
R + N: 56



h = [37 34 23 13]
R: 164
R + N: 56



h = [37 34 24 6]
R: 164
R + N: 48



h = [37 34 24 7]
R: 168
R + N: 56



h = [37 34 25 6]
R: 168
R + N: 48



h = [37 34 27 7]
R: 164
R + N: 56



h = [37 34 30 13]
R: 164
R + N: 56



h = [37 34 32 12]
R: 168
R + N: 48



h = [37 34 33 12]
R: 164
R + N: 48



h = [37 34 33 13]
R: 168
R + N: 56



h = [37 35 20 4]
R: 164
R + N: 44



h = [37 35 20 11]
R: 164
R + N: 44



h = [37 35 22 5]
R: 164
R + N: 44



h = [37 35 22 10]
R: 164
R + N: 44



h = [37 35 24 4]
R: 164
R + N: 44



h = [37 35 27 5]
R: 164
R + N: 44



h = [37 35 31 11]
R: 164
R + N: 44



h = [37 35 32 10]
R: 164
R + N: 44










Table 1 is obtained by calculating combinations that satisfy the values of R and R+N from h=[h6, h5, h2, h1] through simulations.


After obtaining the optimal ½ rate encoders H that sustain the backward compatibility of the typical encoder, it obtains a relational equation between memories the input/output signals, which satisfy each of the H values at step S140. Finally, an encoder is configured to satisfy the obtained relational equation from step S140. Hereinafter, a method for obtaining the relational equation between the memories and the input/output signals from H values in Table 1, and a method of configuring an encoder from the relational equation will be described.



FIGS. 4 and 5 are views for describing a method for estimating an encoder structure from encoder combinations H in Table 1.



FIG. 4 shows encoder combinations h=[4, 34, 30, 4] among the encoder combinations h in Table 1. Referring to FIG. 4, since hj is an octal number, h6=4 can be expressed as 00100 in binary number. According to Eq. 1, a relational equation for memories st4 and st3, input in, and outputs ot2 and ot1 are expressed as follows.


<relational equation of memories and input/output signal when h=[4 34 20 4]>

st4=0in+0st4+1st3+0st2+0st1
st3=1in+1st4+1st3+0st2+0st1
ot2=1in+0st4+0st3+0st2+0st1
ot1=0in+0st4+1st3+0st2+0st1


As shown in the relational equations, an encoder structure shown in FIG. 5 can be obtained from the relational connection between the memories and the input/output lines.



FIG. 6 is a block diagram showing an encoder for a dual stream transmission including the encoder shown in FIG. 5.


Referring to FIG. 6, the input data in is described as X1′. The dual stream encoder that encodes data by discriminating robust data and normal data, which is shown in FIG. 6, is well described in Korea Patent Application No. 2004-64306 entitled “Digital Television Transmitter and Receiver for Using 16 State Trellis Coding” filled at Aug. 16, 2004 by same applicant. In FIG. 5, the output signals Z0, Z1, and Z2 and next states according to inputs are shown in Table 2 and Table 3. Herein, a symbol mapping according to an output signal is identical to FIG. 2.












TABLE 2







Input
CurrentState

































0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15


0
−7
−5
−7
−5
−3
−1
−3
−1
−7
−5
−7
−5
−3
−1
−3
−1


1
1
3
1
3
5
7
5
7
1
3
1
3
5
7
5
7



















TABLE 3







Input
CurrentState

































0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15


0
0
2
1
3
13
15
12
14
4
6
5
7
9
11
8
10


1
4
6
5
7
9
11
0
10
0
2
1
3
13
15
12
14









Until now, the ½ rate encoder in which single symbol transmits 1 bit input data is described. However, the present invention can be applied into a ¼ rate encoder in which 2 symbols transmits 1 bit input data. Hereinafter, a method for estimating a ¼ rate encoder and the ¼ rate encoder will be described.



FIG. 7 is a block diagram showing a ¼ rate encoder in accordance with an embodiment of the present invention.


An encoder with a ¼ code rate shown in FIG. 7 is a non-feedback convolution encoder having two memories. Herein, the encoder with the ¼ code rate denotes an encoder having a ⅙ code rate by connecting a trellis encoder with a ⅔ code rate and an encoder with a ¼ code rate, which is used for estimating the ¼ rate encoder.


The encoder having a ¼ code rate shown in FIG. 7 can be obtained from a typical convolution encoder shown in FIG. 8.



FIG. 8 is a view showing a typical non-feedback convolution encoder having v memories and a 1/n code rate. In FIG. 8, c1 denotes binary information inputted to an encoder at the first iteration, and vl(i) denotes an lth output bit generated at ith iteration. C denotes an input bit sequence, that is, c=( . . . , c-1, c0, c1, . . . , cl, . . . ), and v(i) denotes ith output bit sequence. Then, Eq. 2 can be obtained.

v(i)=c*g(i)  Eq. 2


In Eq. 2, * denotes a convolution operation, and gω=(g0ω, g1ω, . . . , gvω). Therefore, an non-feedback encoder shown in FIG. 8 is generally expressed as g=[g0, g1, . . . , gn-1]. Herein,








g
i

=




k
=
0

v



g
k

(
i
)




,





and gi is expressed as an octal number.


The encoders with n=4 and v=2 in FIG. 8 are the encoder with a ¼ code rate in FIG. 6. Therefore, an encoder combination G that satisfies a free distance condition of robust data and a free distance condition of a mixed stream is obtained from the encoders with n=4 and v=2. In the present embodiment, the free distance condition for the robust data is 108 to 692, and the free distance condition for the mixed data is 44.


In Table 4, R denotes a robust steam only case, and R+N denotes a mixed stream of a robust stream and a normal stream.













TABLE 4







encoder
R
N + R




















g = [1 1 1 1]
488
44



g = [1 1 2 1]
328
44



g = [1 1 2 2]
496
44



g = [1 1 3 1]
328
44



g = [1 1 3 3]
492
44



g = [1 1 4 1]
336
44



g = [1 1 4 2]
376
44



g = [1 1 4 3]
332
44



g = [1 1 4 4]
504
44



g = [1 1 5 1]
336
44



g = [1 1 5 2]
368
44



g = [1 1 5 3]
396
44



g = [1 1 5 5]
504
44



g = [1 1 6 1]
328
44



g = [1 1 6 2]
376
44



g = [1 1 6 3]
396
44



g = [1 1 6 6]
588
44



g = [1 1 7 1]
328
44



g = [1 1 7 2]
368
44



g = [1 1 7 3]
332
44



g = [1 1 7 7]
496
44



g = [1 2 2 2]
328
44



g = [1 2 3 3]
396
44



g = [1 2 4 1]
208
44



g = [1 2 4 3]
204
44



g = [1 2 4 4]
376
44



g = [1 2 5 1]
208
44



g = [1 2 5 2]
232
44



g = [1 2 5 3]
236
44



g = [1 2 5 5]
408
44



g = [1 2 6 3]
236
44



g = [1 2 6 6]
332
44



g = [1 2 7 2]
232
44



g = [1 2 7 3]
204
44



g = [1 2 7 7]
368
44



g = [1 3 2 2]
332
44



g = [1 3 3 3]
264
44



g = [1 3 4 4]
304
44



g = [1 3 5 5]
268
44



g = [1 3 6 6]
328
44



g = [1 3 7 2]
204
44



g = [1 3 7 7]
308
44



g = [1 4 2 4]
208
44



g = [1 4 3 4]
232
44



g = [1 4 4 2]
208
44



g = [1 4 4 3]
204
44



g = [1 4 4 4]
336
44



g = [1 4 5 2]
240
44



g = [1 4 5 3]
208
44



g = [1 4 5 5]
376
44



g = [1 4 6 1]
232
44



g = [1 4 6 2]
208
44



g = [1 4 6 3]
208
44



g = [1 4 6 4]
208
44



g = [1 4 6 6]
428
44



g = [1 4 7 1]
232
44



g = [1 4 7 2]
240
44



g = [1 4 7 3]
204
44



g = [1 4 7 4]
232
44



g = [1 4 7 7]
400
44



g = [1 5 4 4]
300
44



g = [1 5 5 5]
272
44



g = [1 5 6 6]
268
44



g = [1 5 7 1]
236
44



g = [1 5 7 7]
276
44



g = [1 6 4 1]
204
44



g = [1 6 4 2]
204
44



g = [1 6 4 4]
332
44



g = [1 6 5 1]
204
44



g = [1 6 5 2]
236
44



g = [1 6 5 5]
364
44



g = [1 6 6 2]
204
44



g = [1 6 6 6]
328
44



g = [1 6 7 2]
236
44



g = [1 6 7 7]
372
44



g = [1 7 4 4]
312
44



g = [1 7 5 2]
208
44



g = [1 7 5 5]
312
44



g = [1 7 6 6]
340
44



g = [1 7 7 2]
208
44



g = [1 7 7 7]
312
44



g = [2 1 1 1]
328
44



g = [2 1 2 2]
360
44



g = [2 1 3 3]
300
44



g = [2 1 4 1]
208
44



g = [2 1 4 4]
376
44



g = [2 1 5 1]
208
44



g = [2 1 5 2]
200
44



g = [2 1 5 3]
204
44



g = [2 1 5 5]
344
44



g = [2 1 6 3]
204
44



g = [2 1 6 6]
364
44



g = [2 1 7 2]
200
44



g = [2 1 7 7]
304
44



g = [2 2 1 1]
488
44



g = [2 2 1 2]
328
44



g = [2 2 1 3]
240
44



g = [2 2 2 1]
328
44



g = [2 2 2 2]
488
44



g = [2 2 2 3]
240
44



g = [2 2 3 1]
328
44



g = [2 2 3 2]
328
44



g = [2 2 3 3]
492
44



g = [2 2 4 1]
336
44



g = [2 2 4 2]
328
44



g = [2 2 4 3]
300
44



g = [2 2 4 4]
496
44



g = [2 2 5 1]
336
44



g = [2 2 5 2]
392
44



g = [2 2 5 3]
304
44



g = [2 2 5 5]
504
44



g = [2 2 6 1]
328
44



g = [2 2 6 2]
328
44



g = [2 2 6 3]
304
44



g = [2 2 6 6]
492
44



g = [2 2 7 1]
328
44



g = [2 2 7 2]
392
44



g = [2 2 7 3]
300
44



g = [2 2 7 7]
496
44



g = [2 3 2 2]
332
44



g = [2 3 3 3]
264
44



g = [2 3 4 4]
304
44



g = [2 3 5 5]
268
44



g = [2 3 6 6]
328
44



g = [2 3 7 7]
308
44



g = [2 4 1 4]
208
44



g = [2 4 1 6]
204
44



g = [2 4 3 6]
236
44



g = [2 4 4 1]
200
44



g = [2 4 4 4]
328
44



g = [2 4 5 1]
200
44



g = [2 4 5 2]
232
44



g = [2 4 5 3]
204
44



g = [2 4 5 4]
208
44



g = [2 4 5 5]
376
44



g = [2 4 5 6]
236
44



g = [2 4 6 3]
204
44



g = [2 4 6 6]
396
44



g = [2 4 7 2]
232
44



g = [2 4 7 6]
204
44



g = [2 4 7 7]
336
44



g = [2 5 4 4]
300
44



g = [2 5 5 5]
304
44



g = [2 5 6 6]
332
44



g = [2 5 7 7]
276
44



g = [2 6 4 4]
332
44



g = [2 6 5 5]
332
44



g = [2 6 6 6]
264
44



g = [2 6 7 2]
204
44



g = [2 6 7 7]
372
44



g = [2 7 3 4]
208
44



g = [2 7 4 4]
312
44



g = [2 7 5 5]
312
44



g = [2 7 6 1]
208
44



g = [2 7 6 2]
208
44



g = [2 7 6 6]
372
44



g = [2 7 7 1]
208
44



g = [2 7 7 4]
208
44



g = [2 7 7 7]
344
44



g = [3 1 1 1]
328
44



g = [3 1 2 2]
360
44



g = [3 1 3 3]
300
44



g = [3 1 4 1]
208
44



g = [3 1 4 4]
376
44



g = [3 1 5 1]
208
44



g = [3 1 5 2]
200
44



g = [3 1 5 3]
204
44



g = [3 1 5 5]
344
44



g = [3 1 6 3]
204
44



g = [3 1 6 6]
364
44



g = [3 1 7 7]
304
44



g = [3 2 2 2]
328
44



g = [3 2 3 3]
396
44



g = [3 2 4 1]
208
44



g = [3 2 4 3]
204
44



g = [3 2 4 4]
376
44



g = [3 2 5 1]
208
44



g = [3 2 5 2]
232
44



g = [3 2 5 3]
236
44



g = [3 2 5 5]
408
44



g = [3 2 6 3]
236
44



g = [3 2 6 6]
332
44



g = [3 2 7 2]
232
44



g = [3 2 7 3]
204
44



g = [3 2 7 7]
368
44



g = [3 3 1 1]
492
44



g = [3 3 1 2]
300
44



g = [3 3 1 3]
264
44



g = [3 3 2 1]
396
44



g = [3 3 2 2]
492
44



g = [3 3 2 3]
264
44



g = [3 3 3 1]
396
44



g = [3 3 3 2]
300
44



g = [3 3 4 1]
428
44



g = [3 3 4 2]
332
44



g = [3 3 4 3]
328
44



g = [3 3 4 4]
588
44



g = [3 3 5 1]
428
44



g = [3 3 5 2]
364
44



g = [3 3 6 1]
396
44



g = [3 3 6 2]
332
44



g = [3 3 7 1]
396
44



g = [3 3 7 2]
364
44



g = [3 3 7 3]
328
44



g = [3 3 7 7]
500
44



g = [3 4 1 4]
232
44



g = [3 4 1 6]
204
44



g = [3 4 2 7]
208
44



g = [3 4 3 6]
236
44



g = [3 4 4 1]
232
44



g = [3 4 4 4]
328
44



g = [3 4 5 1]
232
44



g = [3 4 5 2]
232
44



g = [3 4 5 3]
236
44



g = [3 4 5 4]
232
44



g = [3 4 5 5]
440
44



g = [3 4 5 6]
236
44



g = [3 4 5 7]
208
44



g = [3 4 6 1]
200
44



g = [3 4 6 3]
236
44



g = [3 4 6 6]
396
44



g = [3 4 7 6]
204
44



g = [3 4 7 7]
368
44



g = [3 5 4 4]
300
44



g = [3 5 5 1]
248
44



g = [3 5 7 7]
276
44



g = [3 6 1 4]
208
44



g = [3 6 2 4]
204
44



g = [3 6 3 4]
236
44



g = [3 6 3 7]
180
44



g = [3 6 4 1]
208
44



g = [3 6 4 2]
236
44



g = [3 6 4 3]
168
44



g = [3 6 4 4]
396
44



g = [3 6 5 1]
208
44



g = [3 6 5 2]
240
44



g = [3 6 5 4]
208
44



g = [3 6 5 7]
144
44



g = [3 6 6 1]
236
44



g = [3 6 6 2]
236
44



g = [3 6 6 4]
204
44



g = [3 6 6 7]
180
44



g = [3 6 7 1]
236
44



g = [3 6 7 2]
240
44



g = [3 6 7 3]
168
44



g = [3 6 7 4]
236
44



g = [3 6 7 7]
404
44



g = [3 7 4 4]
312
44



g = [3 7 5 2]
208
44



g = [3 7 5 3]
212
44



g = [3 7 5 4]
176
44



g = [3 7 5 5]
312
44



g = [3 7 6 6]
308
44



g = [3 7 6 7]
120
44



g = [3 7 7 1]
208
44



g = [3 7 7 7]
312
44



g = [4 1 1 1]
336
44



g = [4 1 1 2]
200
44



g = [4 1 2 1]
208
44



g = [4 1 2 2]
336
44



g = [4 1 3 1]
232
44



g = [4 1 3 2]
200
44



g = [4 1 3 3]
364
44



g = [4 1 3 4]
200
44



g = [4 1 4 2]
232
44



g = [4 1 4 3]
204
44



g = [4 1 4 4]
368
44



g = [4 1 5 2]
208
44



g = [4 1 5 3]
208
44



g = [4 1 5 4]
144
44



g = [4 1 5 5]
312
44



g = [4 1 5 6]
144
44



g = [4 1 5 7]
112
44



g = [4 1 6 1]
232
44



g = [4 1 6 2]
232
44



g = [4 1 6 3]
208
44



g = [4 1 6 4]
208
44



g = [4 1 6 5]
172
44



g = [4 1 6 6]
396
44



g = [4 1 6 7]
176
44



g = [4 1 7 1]
232
44



g = [4 1 7 2]
208
44



g = [4 1 7 3]
204
44



g = [4 1 7 4]
200
44



g = [4 1 7 5]
172
44



g = [4 1 7 6]
144
44



g = [4 1 7 7]
336
44



g = [4 2 1 1]
328
44



g = [4 2 1 2]
168
44



g = [4 2 1 3]
172
44



g = [4 2 1 4]
200
44



g = [4 2 1 5]
108
44



g = [4 2 2 2]
328
44



g = [4 2 3 3]
396
44



g = [4 2 3 4]
168
44



g = [4 2 3 5]
108
44



g = [4 2 3 6]
204
44



g = [4 2 3 7]
144
44



g = [4 2 4 1]
208
44



g = [4 2 4 2]
168
44



g = [4 2 4 3]
204
44



g = [4 2 4 4]
360
44



g = [4 2 5 1]
208
44



g = [4 2 5 2]
232
44



g = [4 2 5 3]
236
44



g = [4 2 5 4]
200
44



g = [4 2 5 5]
376
44



g = [4 2 5 6]
204
44



g = [4 2 6 3]
236
44



g = [4 2 6 4]
136
44



g = [4 2 6 5]
108
44



g = [4 2 6 6]
300
44



g = [4 2 7 2]
232
44



g = [4 2 7 3]
204
44



g = [4 2 7 7]
336
44



g = [4 3 1 1]
300
44



g = [4 3 2 1]
204
44



g = [4 3 2 2]
332
44



g = [4 3 3 1]
204
44



g = [4 3 3 2]
140
44



g = [4 3 3 3]
328
44



g = [4 3 4 1]
208
44



g = [4 3 4 4]
336
44



g = [4 3 5 1]
208
44



g = [4 3 5 2]
204
44



g = [4 3 5 3]
168
44



g = [4 3 5 4]
144
44



g = [4 3 5 5]
300
44



g = [4 3 6 6]
304
44



g = [4 3 7 7]
308
44



g = [4 4 1 1]
496
44



g = [4 4 1 2]
328
44



g = [4 4 1 3]
332
44



g = [4 4 1 4]
336
44



g = [4 4 1 5]
252
44



g = [4 4 1 6]
300
44



g = [4 4 1 7]
304
44



g = [4 4 2 1]
360
44



g = [4 4 2 2]
488
44



g = [4 4 2 3]
332
44



g = [4 4 2 4]
328
44



g = [4 4 2 5]
300
44



g = [4 4 2 6]
240
44



g = [4 4 2 7]
304
44



g = [4 4 3 1]
360
44



g = [4 4 3 2]
328
44



g = [4 4 3 3]
492
44



g = [4 4 3 4]
328
44



g = [4 4 3 5]
300
44



g = [4 4 3 6]
304
44



g = [4 4 3 7]
272
44



g = [4 4 4 1]
336
44



g = [4 4 4 2]
328
44



g = [4 4 4 3]
332
44



g = [4 4 4 4]
488
44



g = [4 4 4 5]
252
44



g = [4 4 4 6]
240
44



g = [4 4 4 7]
272
44



g = [4 4 5 1]
336
44



g = [4 4 5 2]
392
44



g = [4 4 5 3]
396
44



g = [4 4 5 4]
336
44



g = [4 4 5 5]
504
44



g = [4 4 5 6]
304
44



g = [4 4 5 7]
304
44



g = [4 4 6 1]
392
44



g = [4 4 6 2]
328
44



g = [4 4 6 3]
396
44



g = [4 4 6 4]
328
44



g = [4 4 6 5]
300
44



g = [4 4 6 6]
492
44



g = [4 4 6 7]
304
44



g = [4 4 7 1]
392
44



g = [4 4 7 2]
392
44



g = [4 4 7 3]
332
44



g = [4 4 7 4]
328
44



g = [4 4 7 5]
300
44



g = [4 4 7 6]
300
44



g = [4 4 7 7]
496
44



g = [4 5 4 4]
300
44



g = [4 5 5 5]
272
44



g = [4 5 6 6]
268
44



g = [4 5 7 4]
204
44



g = [4 5 7 7]
308
44



g = [4 6 4 4]
332
44



g = [4 6 5 5]
332
44



g = [4 6 6 6]
264
44



g = [4 6 7 7]
372
44



g = [4 7 4 4]
312
44



g = [4 7 5 5]
312
44



g = [4 7 6 6]
308
44



g = [4 7 7 7]
312
44



g = [5 1 1 1]
336
44



g = [5 1 1 2]
200
44



g = [5 1 2 1]
208
44



g = [5 1 2 2]
336
44



g = [5 1 2 4]
208
44



g = [5 1 3 1]
232
44



g = [5 1 3 2]
200
44



g = [5 1 3 3]
364
44



g = [5 1 3 4]
200
44



g = [5 1 3 5]
248
44



g = [5 1 4 2]
232
44



g = [5 1 4 3]
204
44



g = [5 1 4 4]
368
44



g = [5 1 5 2]
208
44



g = [5 1 5 3]
240
44



g = [5 1 5 4]
144
44



g = [5 1 5 5]
312
44



g = [5 1 6 1]
232
44



g = [5 1 6 2]
232
44



g = [5 1 6 3]
208
44



g = [5 1 6 4]
208
44



g = [5 1 6 5]
172
44



g = [5 1 6 6]
396
44



g = [5 1 6 7]
176
44



g = [5 1 7 1]
304
44



g = [5 1 7 2]
240
44



g = [5 1 7 3]
204
44



g = [5 1 7 4]
200
44



g = [5 1 7 5]
172
44



g = [5 1 7 6]
172
44



g = [5 1 7 7]
336
44



g = [5 2 1 1]
392
44



g = [5 2 1 2]
232
44



g = [5 2 1 3]
176
44



g = [5 2 1 4]
208
44



g = [5 2 1 5]
172
44



g = [5 2 1 6]
204
44



g = [5 2 1 7]
176
44



g = [5 2 2 1]
232
44



g = [5 2 2 2]
392
44



g = [5 2 3 1]
232
44



g = [5 2 3 2]
232
44



g = [5 2 3 3]
428
44



g = [5 2 3 4]
232
44



g = [5 2 3 5]
172
44



g = [5 2 3 6]
240
44



g = [5 2 3 7]
208
44



g = [5 2 4 1]
240
44



g = [5 2 4 2]
232
44



g = [5 2 4 3]
236
44



g = [5 2 4 4]
368
44



g = [5 2 4 5]
172
44



g = [5 2 4 6]
176
44



g = [5 2 4 7]
208
44



g = [5 2 5 1]
240
44



g = [5 2 5 2]
296
44



g = [5 2 5 3]
240
44



g = [5 2 5 4]
208
44



g = [5 2 5 5]
408
44



g = [5 2 5 6]
240
44



g = [5 2 5 7]
176
44



g = [5 2 6 1]
232
44



g = [5 2 6 2]
232
44



g = [5 2 6 3]
240
44



g = [5 2 6 4]
200
44



g = [5 2 6 5]
172
44



g = [5 2 6 6]
364
44



g = [5 2 6 7]
208
44



g = [5 2 7 1]
232
44



g = [5 2 7 2]
296
44



g = [5 2 7 3]
236
44



g = [5 2 7 4]
232
44



g = [5 2 7 5]
172
44



g = [5 2 7 6]
204
44



g = [5 2 7 7]
400
44



g = [5 3 1 1]
304
44



g = [5 3 1 2]
204
44



g = [5 3 2 1]
236
44



g = [5 3 2 2]
396
44



g = [5 3 3 1]
236
44



g = [5 3 3 2]
204
44



g = [5 3 3 4]
204
44



g = [5 3 3 7]
180
44



g = [5 3 4 1]
208
44



g = [5 3 4 2]
236
44



g = [5 3 4 3]
168
44



g = [5 3 4 4]
336
44



g = [5 3 5 2]
240
44



g = [5 3 5 4]
144
44



g = [5 3 5 7]
144
44



g = [5 3 6 1]
236
44



g = [5 3 6 2]
236
44



g = [5 3 6 4]
204
44



g = [5 3 6 7]
176
44



g = [5 3 7 1]
236
44



g = [5 3 7 2]
240
44



g = [5 3 7 3]
208
44



g = [5 3 7 4]
204
44



g = [5 3 7 5]
140
44



g = [5 3 7 6]
136
44



g = [5 3 7 7]
340
44



g = [5 4 2 4]
208
44



g = [5 4 2 5]
172
44



g = [5 4 3 4]
232
44



g = [5 4 3 5]
204
44



g = [5 4 4 1]
176
44



g = [5 4 4 2]
208
44



g = [5 4 4 3]
204
44



g = [5 4 4 4]
336
44



g = [5 4 5 1]
176
44



g = [5 4 5 2]
240
44



g = [5 4 5 3]
208
44



g = [5 4 5 5]
376
44



g = [5 4 6 1]
232
44



g = [5 4 6 2]
208
44



g = [5 4 6 3]
208
44



g = [5 4 6 4]
208
44



g = [5 4 6 5]
248
44



g = [5 4 6 6]
428
44



g = [5 4 7 1]
232
44



g = [5 4 7 2]
240
44



g = [5 4 7 3]
204
44



g = [5 4 7 4]
272
44



g = [5 4 7 5]
172
44



g = [5 4 7 7]
432
44



g = [5 5 1 1]
504
44



g = [5 5 1 2]
376
44



g = [5 5 1 3]
332
44



g = [5 5 1 4]
312
44



g = [5 5 1 5]
272
44



g = [5 5 1 6]
300
44



g = [5 5 1 7]
312
44



g = [5 5 2 1]
376
44



g = [5 5 2 2]
504
44



g = [5 5 2 3]
332
44



g = [5 5 2 4]
344
44



g = [5 5 2 5]
304
44



g = [5 5 2 6]
268
44



g = [5 5 2 7]
312
44



g = [5 5 3 1]
376
44



g = [5 5 3 2]
376
44



g = [5 5 3 4]
376
44



g = [5 5 3 7]
312
44



g = [5 5 4 1]
376
44



g = [5 5 4 2]
408
44



g = [5 5 4 3]
364
44



g = [5 5 4 4]
504
44



g = [5 5 4 5]
272
44



g = [5 5 4 6]
268
44



g = [5 5 4 7]
312
44



g = [5 5 5 1]
376
44



g = [5 5 5 2]
408
44



g = [5 5 5 4]
312
44



g = [5 5 5 7]
280
44



g = [5 5 6 1]
440
44



g = [5 5 6 2]
408
44



g = [5 5 6 4]
344
44



g = [5 5 6 7]
312
44



g = [5 5 7 1]
472
44



g = [5 5 7 2]
440
44



g = [5 5 7 3]
364
44



g = [5 5 7 4]
376
44



g = [5 5 7 5]
304
44



g = [5 5 7 6]
300
44



g = [5 5 7 7]
692
44



g = [5 6 1 4]
208
44



g = [5 6 3 4]
236
44



g = [5 6 3 7]
192
44



g = [5 6 4 1]
208
44



g = [5 6 4 2]
236
44



g = [5 6 4 3]
168
44



g = [5 6 4 4]
396
44



g = [5 6 4 5]
140
44



g = [5 6 4 6]
104
44



g = [5 6 4 7]
192
44



g = [5 6 5 1]
208
44



g = [5 6 5 2]
240
44



g = [5 6 5 4]
240
44



g = [5 6 5 7]
144
44



g = [5 6 6 1]
236
44



g = [5 6 6 2]
236
44



g = [5 6 6 4]
204
44



g = [5 6 6 7]
212
44



g = [5 6 7 1]
236
44



g = [5 6 7 2]
240
44



g = [5 6 7 3]
168
44



g = [5 6 7 4]
236
44



g = [5 6 7 5]
172
44



g = [5 6 7 6]
240
44



g = [5 6 7 7]
436
44



g = [5 7 4 4]
312
44



g = [5 7 5 5]
280
44



g = [5 7 6 1]
208
44



g = [5 7 6 2]
208
44



g = [5 7 6 5]
148
44



g = [5 7 6 6]
372
44



g = [5 7 7 7]
408
44



g = [6 1 1 1]
328
44



g = [6 1 2 2]
392
44



g = [6 1 3 3]
332
44



g = [6 1 4 1]
232
44



g = [6 1 4 2]
200
44



g = [6 1 4 3]
172
44



g = [6 1 4 4]
360
44



g = [6 1 5 1]
232
44



g = [6 1 5 2]
232
44



g = [6 1 5 3]
236
44



g = [6 1 5 4]
200
44



g = [6 1 5 5]
376
44



g = [6 1 5 6]
204
44



g = [6 1 5 7]
208
44



g = [6 1 6 1]
168
44



g = [6 1 6 2]
200
44



g = [6 1 6 3]
236
44



g = [6 1 6 6]
364
44



g = [6 1 6 7]
144
44



g = [6 1 7 1]
168
44



g = [6 1 7 2]
232
44



g = [6 1 7 7]
304
44



g = [6 2 1 1]
328
44



g = [6 2 2 2]
328
44



g = [6 2 3 3]
396
44



g = [6 2 4 1]
232
44



g = [6 2 4 2]
168
44



g = [6 2 4 3]
204
44



g = [6 2 4 4]
360
44



g = [6 2 5 1]
232
44



g = [6 2 5 2]
232
44



g = [6 2 5 3]
236
44



g = [6 2 5 4]
200
44



g = [6 2 5 5]
376
44



g = [6 2 5 6]
204
44



g = [6 2 5 7]
176
44



g = [6 2 6 1]
168
44



g = [6 2 6 2]
168
44



g = [6 2 6 3]
236
44



g = [6 2 6 6]
300
44



g = [6 2 7 2]
232
44



g = [6 2 7 3]
204
44



g = [6 2 7 7]
336
44



g = [6 3 1 1]
304
44



g = [6 3 1 2]
204
44



g = [6 3 2 1]
236
44



g = [6 3 2 2]
396
44



g = [6 3 3 1]
236
44



g = [6 3 3 2]
204
44



g = [6 3 3 4]
204
44



g = [6 3 3 7]
180
44



g = [6 3 4 1]
208
44



g = [6 3 4 2]
236
44



g = [6 3 4 3]
168
44



g = [6 3 4 4]
336
44



g = [6 3 5 1]
208
44



g = [6 3 5 2]
240
44



g = [6 3 5 4]
144
44



g = [6 3 5 7]
176
44



g = [6 3 6 1]
236
44



g = [6 3 6 2]
236
44



g = [6 3 6 4]
204
44



g = [6 3 6 7]
148
44



g = [6 3 7 1]
236
44



g = [6 3 7 2]
240
44



g = [6 3 7 3]
168
44



g = [6 3 7 4]
204
44



g = [6 3 7 7]
340
44



g = [6 4 1 4]
232
44



g = [6 4 3 6]
236
44



g = [6 4 4 4]
328
44



g = [6 4 4 5]
108
44



g = [6 4 4 6]
172
44



g = [6 4 4 7]
112
44



g = [6 4 5 1]
200
44



g = [6 4 5 2]
232
44



g = [6 4 5 3]
204
44



g = [6 4 5 4]
232
44



g = [6 4 5 5]
376
44



g = [6 4 5 6]
236
44



g = [6 4 6 6]
396
44



g = [6 4 6 7]
144
44



g = [6 4 7 1]
168
44



g = [6 4 7 2]
232
44



g = [6 4 7 7]
336
44



g = [6 5 4 4]
300
44



g = [6 5 7 7]
308
44



g = [6 6 1 1]
492
44



g = [6 6 1 2]
396
44



g = [6 6 1 3]
264
44



g = [6 6 1 4]
364
44



g = [6 6 1 5]
236
44



g = [6 6 1 6]
328
44



g = [6 6 1 7]
276
44



g = [6 6 2 1]
300
44



g = [6 6 2 2]
492
44



g = [6 6 2 3]
264
44



g = [6 6 2 4]
300
44



g = [6 6 2 5]
240
44



g = [6 6 2 6]
264
44



g = [6 6 2 7]
308
44



g = [6 6 3 1]
300
44



g = [6 6 3 2]
396
44



g = [6 6 3 4]
332
44



g = [6 6 3 7]
276
44



g = [6 6 4 1]
364
44



g = [6 6 4 2]
396
44



g = [6 6 4 3]
328
44



g = [6 6 4 4]
492
44



g = [6 6 4 5]
236
44



g = [6 6 4 6]
264
44



g = [6 6 4 7]
276
44



g = [6 6 5 1]
364
44



g = [6 6 5 2]
428
44



g = [6 6 5 4]
364
44



g = [6 6 5 7]
308
44



g = [6 6 6 1]
332
44



g = [6 6 6 2]
396
44



g = [6 6 6 4]
300
44



g = [6 6 6 7]
276
44



g = [6 6 7 1]
332
44



g = [6 6 7 2]
428
44



g = [6 6 7 3]
328
44



g = [6 6 7 4]
332
44



g = [6 6 7 5]
240
44



g = [6 6 7 6]
328
44



g = [6 6 7 7]
500
44



g = [6 7 4 4]
336
44



g = [6 7 5 5]
312
44



g = [6 7 5 6]
180
44



g = [6 7 6 6]
340
44



g = [6 7 7 1]
144
44



g = [6 7 7 2]
208
44



g = [6 7 7 3]
148
44



g = [6 7 7 7]
312
44



g = [7 1 1 1]
328
44



g = [7 1 2 2]
392
44



g = [7 1 3 3]
332
44



g = [7 1 3 4]
136
44



g = [7 1 3 5]
108
44



g = [7 1 3 6]
204
44



g = [7 1 3 7]
144
44



g = [7 1 4 1]
232
44



g = [7 1 4 2]
200
44



g = [7 1 4 3]
172
44



g = [7 1 4 4]
360
44



g = [7 1 4 5]
108
44



g = [7 1 4 6]
172
44



g = [7 1 4 7]
144
44



g = [7 1 5 1]
272
44



g = [7 1 5 2]
232
44



g = [7 1 5 3]
236
44



g = [7 1 5 4]
200
44



g = [7 1 5 5]
376
44



g = [7 1 5 6]
204
44



g = [7 1 5 7]
208
44



g = [7 1 6 1]
168
44



g = [7 1 6 2]
200
44



g = [7 1 6 3]
236
44



g = [7 1 6 4]
168
44



g = [7 1 6 5]
108
44



g = [7 1 6 6]
364
44



g = [7 1 7 7]
304
44



g = [7 2 1 1]
392
44



g = [7 2 1 2]
232
44



g = [7 2 1 3]
204
44



g = [7 2 1 4]
208
44



g = [7 2 1 5]
172
44



g = [7 2 1 6]
204
44



g = [7 2 1 7]
176
44



g = [7 2 2 1]
232
44



g = [7 2 2 2]
392
44



g = [7 2 2 3]
204
44



g = [7 2 2 4]
200
44



g = [7 2 2 5]
172
44



g = [7 2 2 6]
204
44



g = [7 2 2 7]
176
44



g = [7 2 3 1]
232
44



g = [7 2 3 2]
232
44



g = [7 2 3 3]
428
44



g = [7 2 3 4]
232
44



g = [7 2 3 5]
172
44



g = [7 2 3 6]
240
44



g = [7 2 3 7]
208
44



g = [7 2 4 1]
240
44



g = [7 2 4 2]
232
44



g = [7 2 4 3]
236
44



g = [7 2 4 4]
368
44



g = [7 2 4 5]
172
44



g = [7 2 4 6]
204
44



g = [7 2 4 7]
208
44



g = [7 2 5 1]
240
44



g = [7 2 5 2]
296
44



g = [7 2 5 3]
240
44



g = [7 2 5 4]
240
44



g = [7 2 5 5]
440
44



g = [7 2 5 6]
240
44



g = [7 2 5 7]
176
44



g = [7 2 6 1]
232
44



g = [7 2 6 2]
232
44



g = [7 2 6 3]
240
44



g = [7 2 6 4]
200
44



g = [7 2 6 5]
172
44



g = [7 2 6 6]
364
44



g = [7 2 6 7]
176
44



g = [7 2 7 1]
232
44



g = [7 2 7 2]
296
44



g = [7 2 7 3]
236
44



g = [7 2 7 4]
232
44



g = [7 2 7 5]
172
44



g = [7 2 7 6]
204
44



g = [7 2 7 7]
400
44



g = [7 3 1 1]
300
44



g = [7 3 2 2]
332
44



g = [7 3 3 3]
328
44



g = [7 3 4 4]
336
44



g = [7 3 5 5]
300
44



g = [7 3 6 6]
304
44



g = [7 3 7 7]
308
44



g = [7 4 1 4]
232
44



g = [7 4 3 6]
236
44



g = [7 4 4 4]
328
44



g = [7 4 4 5]
236
44



g = [7 4 4 6]
172
44



g = [7 4 4 7]
144
44



g = [7 4 5 1]
232
44



g = [7 4 5 2]
232
44



g = [7 4 5 3]
236
44



g = [7 4 5 4]
304
44



g = [7 4 5 5]
472
44



g = [7 4 5 6]
236
44



g = [7 4 5 7]
208
44



g = [7 4 6 1]
200
44



g = [7 4 6 2]
168
44



g = [7 4 6 3]
236
44



g = [7 4 6 4]
168
44



g = [7 4 6 5]
140
44



g = [7 4 6 6]
396
44



g = [7 4 6 7]
208
44



g = [7 4 7 1]
200
44



g = [7 4 7 2]
232
44



g = [7 4 7 3]
172
44



g = [7 4 7 4]
168
44



g = [7 4 7 5]
140
44



g = [7 4 7 6]
204
44



g = [7 4 7 7]
368
44



g = [7 5 4 4]
300
44



g = [7 5 5 5]
304
44



g = [7 5 6 6]
332
44



g = [7 5 7 7]
308
44



g = [7 6 2 6]
104
44



g = [7 6 2 7]
180
44



g = [7 6 3 6]
168
44



g = [7 6 3 7]
148
44



g = [7 6 4 1]
204
44



g = [7 6 4 2]
204
44



g = [7 6 4 3]
168
44



g = [7 6 4 4]
332
44



g = [7 6 4 6]
104
44



g = [7 6 4 7]
148
44



g = [7 6 5 1]
204
44



g = [7 6 5 2]
236
44



g = [7 6 5 3]
168
44



g = [7 6 5 5]
364
44



g = [7 6 5 6]
208
44



g = [7 6 5 7]
144
44



g = [7 6 6 1]
172
44



g = [7 6 6 2]
204
44



g = [7 6 6 3]
168
44



g = [7 6 6 6]
328
44



g = [7 6 7 1]
172
44



g = [7 6 7 2]
236
44



g = [7 6 7 3]
168
44



g = [7 6 7 7]
372
44



g = [7 7 1 1]
496
44



g = [7 7 1 2]
336
44



g = [7 7 1 3]
372
44



g = [7 7 1 4]
336
44



g = [7 7 1 5]
308
44



g = [7 7 1 6]
308
44



g = [7 7 1 7]
312
44



g = [7 7 2 1]
336
44



g = [7 7 2 2]
496
44



g = [7 7 2 3]
372
44



g = [7 7 2 4]
304
44



g = [7 7 2 5]
276
44



g = [7 7 2 6]
308
44



g = [7 7 2 7]
344
44



g = [7 7 3 1]
336
44



g = [7 7 3 2]
336
44



g = [7 7 3 3]
500
44



g = [7 7 3 4]
304
44



g = [7 7 3 5]
308
44



g = [7 7 3 6]
340
44



g = [7 7 3 7]
312
44



g = [7 7 4 1]
400
44



g = [7 7 4 2]
368
44



g = [7 7 4 3]
372
44



g = [7 7 4 4]
496
44



g = [7 7 4 5]
276
44



g = [7 7 4 6]
308
44



g = [7 7 4 7]
312
44



g = [7 7 5 1]
432
44



g = [7 7 5 2]
400
44



g = [7 7 5 3]
436
44



g = [7 7 5 4]
336
44



g = [7 7 5 5]
692
44



g = [7 7 5 6]
340
44



g = [7 7 5 7]
408
44



g = [7 7 6 1]
368
44



g = [7 7 6 2]
368
44



g = [7 7 6 3]
404
44



g = [7 7 6 4]
304
44



g = [7 7 6 5]
276
44



g = [7 7 6 6]
500
44



g = [7 7 6 7]
312
44



g = [7 7 7 1]
368
44



g = [7 7 7 2]
400
44



g = [7 7 7 3]
372
44



g = [7 7 7 4]
304
44



g = [7 7 7 5]
308
44



g = [7 7 7 6]
308
44











FIG. 9 is a block diagram illustrating an encoder having the largest free distance for a robust stream among encoder combinations described in Table 4.


In FIG. 9, the encoder (a) is an encoder expressed as g=[5 5 7 7] by the non-feedback encoder expression method of FIG. 6, and the encoder (b) is a typical 8-VSB encoder. The encoder (a) is an example of an input/output connecting relation decided by Eq. 2 when g=[5 5 7 7]. The output of the encoder (a) is inputted to the encoder (b) with being divided into two outputs as shown in FIG. 9. Also, the encoder (b) is operated twice faster than the encoder (a). That is, the memories of the encoder (b) are operated twice faster than the memories of the encoder (a).


The above described method according to the present invention can be embodied as a program and stored on a computer readable recording medium. The computer readable recording medium is any data storage device that can store data which can be thereafter read by the computer system. The computer readable recording medium includes a read-only memory (ROM), a random-access memory (RAM), a CD-ROM, a floppy disk, a hard disk and an optical magnetic disk.


The present application contains subject matter related to Korean patent application Nos. 2005-0065396 and 2006-0052548, filed in the Korean Intellectual Property Office on Sep. 19, 2005, and Jun. 12, 2006, the entire contents of which is incorporated herein by reference.


While the present invention has been described with respect to certain preferred embodiments, it will be apparent to those skilled in the art that various changes and modifications may be made without departing from the scope of the invention as defined in the following claims.

Claims
  • 1. A method of estimating an encoder for dual stream transmission, comprising the steps of: a) setting up the number of memories required for an encoder, a free distance condition for robust data, and a free distance condition for mixed stream of robust data and normal data;b) obtaining ½ rate encoder combinations that sustain backward compatibility with a typical trellis encoder;c) obtaining encoder combinations H that satisfy the free distance condition for the robust data and the free distance condition for the mixed stream from the ½ rate encoder combinations;d) obtaining relations between memories and input/output signals, which satisfy the encoder combinations H; ande) configuring an encoder according to the obtained relation between the memories and the input/output signals.
  • 2. The method as recited in claim 1, wherein the number of memories is four.
  • 3. The method as recited in claim 1, wherein the ½ rate encoder that sustains backward compatibility with a typical trellis encoder satisfies an equation:
  • 4. The method as recited in claim 3, wherein h4, h3, and h0, are fixed as 1, 6, and 1, respectively.
  • 5. The method as recited in claim 1, wherein the free distance condition for the robust data is larger than 164, and the free distance condition for the mixed stream is 44 to 56.
  • 6. An encoder for dual stream transmission comprising: an input terminal;three output terminals;four memories connected to the input terminal and the output terminals to satisfy an equation:
  • 7. The encoder as recited in claim 6, wherein h4, h3, and h0, are fixed as 1, 6, and 1, respectively.
  • 8. The encoder as recited in claim 7, wherein the free distance condition for the robust data is larger than 164, and the free distance condition for the mixed stream is 44 to 56.
  • 9. An encoder for dual stream transmission, comprising: a non-feedback convolution encoder having two memories, where a code rate thereof is ¼; anda trellis encoder having two memories operated twice faster than the memories of the non-feedback convolution encoder and alternatively receiving outputs of the non-feedback convolution encoder, where a code rate thereof is ⅔.
  • 10. The encoder as recited in claim 9, wherein a free distance condition for robust data is larger than 164, and a free distance condition for mixed stream is 44 to 56.
  • 11. The encoder as recited in claim 10, wherein the non-feedback convolution encoder is an encoder combination G satisfies an equation: v(i)=c*g(i) where * denotes a convolution operation, gω=(g0ω, g1ω, . . . , gvω),
  • 12. A decoder for dual stream transmission comprising: a receiving means for converting a receiving signal to a base-band signal;an equalizing means for deciding a symbol level of the receiving signal; anda decoding means for decoding the decided symbol level to a data symbol,wherein the data symbol for a symbol level and the next state are decided by an encoder combination H in which a free distance condition for robust data is larger than 164, and a free distance condition for mixed stream is 44 to 56.
  • 13. A decoder for dual stream transmission, comprising: a receiving means for converting a receiving signal to a base-band signal;an equalizing means for deciding a symbol level of the receiving signal; anda decoding means for decoding the decided symbol level to a data symbol, wherein the data symbol for a symbol level and the next state are decided by an encoder including a non-feedback convolution encoder having two memories, where a code rate thereof is ¼; and a trellis encoder having two memories operated twice faster than the memories of the non-feedback convolution encoder and alternatively receiving outputs of the non-feedback convolution encoder, where a code rate thereof is ⅔.
  • 14. The decoder as recited in claim 13, wherein a free distance condition for robust data of the decoder is 16, and a free distance condition for mixed stream of robust data and normal data is 44.
  • 15. A decoding method for dual stream receiving comprising the steps of: a) converting a receiving signal to a base-band signal;b) deciding a symbol level of the receiving signal; andc) decoding the decided symbol level to a data symbol,wherein the data symbol for a symbol level and the next state are decided by an encoder combination H in which a free distance condition for robust data is larger than 164, and a free distance condition for mixed stream is 44 to 56.
Priority Claims (2)
Number Date Country Kind
10-2005-0065396 Jul 2005 KR national
10-2006-0052548 Jun 2006 KR national
PCT Information
Filing Document Filing Date Country Kind 371c Date
PCT/KR2006/002831 7/19/2006 WO 00 3/12/2009
Publishing Document Publishing Date Country Kind
WO2007/011161 1/25/2007 WO A
US Referenced Citations (5)
Number Name Date Kind
4755706 Harnden, Jr. et al. Jul 1988 A
5844945 Nam et al. Dec 1998 A
7779327 Lee et al. Aug 2010 B2
20030106011 Miyauchi et al. Jun 2003 A1
20040199858 Becker et al. Oct 2004 A1
Foreign Referenced Citations (7)
Number Date Country
11-163742 Jun 1999 JP
1020030026236 Mar 2003 KR
1020040055548 Jun 2004 KR
1020040063779 Jul 2004 KR
1020050049923 May 2005 KR
1020050097435 Oct 2005 KR
03081786 Oct 2003 WO
Related Publications (1)
Number Date Country
20090220020 A1 Sep 2009 US