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WO2019096268A1 - Sequence-based signal processing method and signal processing apparatus - Google Patents

Sequence-based signal processing method and signal processing apparatus Download PDF

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Publication number
WO2019096268A1
WO2019096268A1 PCT/CN2018/116011 CN2018116011W WO2019096268A1 WO 2019096268 A1 WO2019096268 A1 WO 2019096268A1 CN 2018116011 W CN2018116011 W CN 2018116011W WO 2019096268 A1 WO2019096268 A1 WO 2019096268A1
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WO
WIPO (PCT)
Prior art keywords
sequence
elements
sequence set
signal
sequences
Prior art date
Application number
PCT/CN2018/116011
Other languages
French (fr)
Chinese (zh)
Inventor
曲秉玉
龚名新
刘建琴
Original Assignee
华为技术有限公司
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority claimed from CN201811303070.9A external-priority patent/CN109802820B/en
Priority to EP22154713.6A priority Critical patent/EP4099653B1/en
Priority to CN202210038693.8A priority patent/CN114422097A/en
Priority to CN202210038358.8A priority patent/CN114422096A/en
Priority to JP2020526895A priority patent/JP7221958B2/en
Priority to CN201880074425.3A priority patent/CN111727591B/en
Application filed by 华为技术有限公司 filed Critical 华为技术有限公司
Priority to EP18879785.6A priority patent/EP3713177B1/en
Priority to EP24152016.2A priority patent/EP4376369A3/en
Priority to BR112020009824-8A priority patent/BR112020009824A2/en
Publication of WO2019096268A1 publication Critical patent/WO2019096268A1/en
Priority to US16/874,039 priority patent/US11177992B2/en
Priority to US17/484,833 priority patent/US11606238B2/en
Priority to JP2022172579A priority patent/JP7436605B2/en
Priority to US18/112,220 priority patent/US20230275795A1/en

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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes

Definitions

  • the present application relates to the field of communications technologies, and in particular, to a sequence-based signal processing method and a signal processing apparatus.
  • a physical uplink shared channel performs channel estimation using a demodulation reference signal (DMRS) to perform signal demodulation.
  • DMRS demodulation reference signal
  • the base sequence of the uplink DMRS is directly mapped to the resource element, and no coding process is required.
  • the uplink DMRS reference sequence is defined as a cyclic shift of the basic sequence, and the base sequence of the uplink DMRS is obtained by cyclic extension of the Zadoff-Chu sequence (ZC sequence).
  • ZC sequence Zadoff-Chu sequence
  • the ZC sequence is a sequence that satisfies the nature of a constant amplitude zero auto-correlation (CAZAC) sequence.
  • DFT-s-OFDM Discrete Fourier Transform spread OFDM
  • NR new radio access technology
  • ⁇ /2BPSK modulation method Discrete Fourier Transform spread OFDM
  • filtering is used when ⁇ /2BPSK modulation is supported.
  • the uplink DMRS waveform uses ⁇ /2 BPSK modulation
  • the uplink DMRS may use a Gold sequence-based sequence, and may also use a Computer Generated Sequence (CGS).
  • CGS Computer Generated Sequence
  • the upstream DFT-s-OFDM DMRS waveform uses the ⁇ /2BPSK modulation method and a filter is used
  • the uplink DFT-s-OFDM DMRS waveform uses a sequence based on a Gold sequence or CGS, if proper filtering is not possible, This will result in a poor frequency flatness of the sequence, which is not conducive to channel estimation.
  • the uplink DFT-s-OFDM DMRS waveform uses the ZC sequence, the peak-to-average power ratio (PAPR) of the DMRS is higher than the PAPR of the transmitted data, resulting in out-of-band spurious emissions and in-band of the pilot signal. Signal loss, affecting channel estimation performance, or causing limited uplink coverage.
  • PAPR peak-to-average power ratio
  • the sequence used by the existing DMRS for the PDSCH cannot satisfy the communication application environment currently transmitting signals using the PUSCH.
  • the embodiments of the present application provide a sequence-based signal processing method and a communication device, which are used to provide a new sequence, and satisfy a communication application environment for transmitting signals by using a PUSCH.
  • the preset condition that the sequence ⁇ x n ⁇ satisfies can have multiple equivalent representations.
  • A is a non-zero complex number.
  • the element b n ' u ⁇ (1-2 ⁇ s n '), u is a non-zero complex number.
  • Element b n u ⁇ (1-2 ⁇ n s), u is a complex non-zero, set by a sequence of elements s n ⁇ s n ⁇ consisting of at least one sequence comprising a third set of sequences; here, the The sequences in the third sequence set can be found in the description.
  • the generating the first signal and transmitting comprises: performing discrete Fourier transform processing on the N elements in the sequence ⁇ x n ⁇ to obtain a sequence ⁇ f n ⁇ ;
  • the N elements in the sequence ⁇ f n ⁇ are respectively mapped onto consecutive N subcarriers to obtain a frequency domain signal containing N elements; or, the N elements in the sequence ⁇ f n ⁇ are respectively mapped to equal intervals
  • a frequency domain signal containing N elements is obtained; a first signal is generated; and the first signal is transmitted by radio frequency.
  • the generating the first signal includes performing an inverse fast Fourier transform on the frequency domain signal including the N elements, obtaining a corresponding time domain signal, and adding the time domain signal.
  • the cyclic prefix generates a first signal.
  • the sequence ⁇ x n ⁇ is not filtered before or after the discrete Fourier transform process on the N elements in the sequence ⁇ x n ⁇ .
  • the first signal is a reference signal; or the first signal is a signal for carrying communication information.
  • ⁇ n s ⁇ set constituted by a sequence consisting of the element s n equivalent sequence comprising at least a first sequence of the first sequence or second sequence in the set, and a second sequence set The second sequence or the equivalent sequence of the second sequence, wherein the sequences in the second sequence set are described in the specification.
  • N 18
  • the sequence of elements s n ⁇ s n ⁇ consisting of a set of at least a first sequence consisting of the sequence set fourth, the fourth and the second sequence of the sequence set
  • the sequence in the fourth sequence set is described in the specification.
  • a second aspect of the embodiments of the present application provides a sequence-based signal processing method, where the signal processing method includes:
  • N being a positive integer greater than 1
  • x n being an element in the sequence ⁇ x n ⁇
  • the element b n u ⁇ (1-2 ⁇ s n ), u is a non-zero complex number, and the set of sequences ⁇ s n ⁇ consisting of the elements s n includes at least one of the sequences in the first sequence set or the first One of the equivalent sequences of the sequence in the sequence set, the sequence in the first sequence set described herein can be referred to the description in the specification; the first signal is processed according to the N elements in the sequence ⁇ x n ⁇ .
  • the preset condition that the sequence ⁇ x n ⁇ satisfies can have multiple equivalent representations.
  • A is a non-zero complex number.
  • the element b n ' u ⁇ (1-2 ⁇ s n '), u is a non-zero complex number.
  • Element b n u ⁇ (1-2 ⁇ n s), u is a complex non-zero, set by a sequence of elements s n ⁇ s n ⁇ consisting of at least one sequence comprising a third set of sequences; here, the The sequences in the third sequence set can be found in the description.
  • the receiving the first signal carried on the N subcarriers acquiring the N elements in the sequence sequence ⁇ x n ⁇ , including: acquiring the N subcarriers on consecutive N subcarriers a first signal, or acquiring a first signal on the N subcarriers on equally spaced N subcarriers; acquiring N elements in the sequence ⁇ f n ⁇ , where N is a positive integer greater than 1, a first signal is mapped by the sequence ⁇ f n ⁇ to generate the N sub-carriers, f n is an element ⁇ f n ⁇ of the sequence; the sequence ⁇ f n ⁇ performs inverse discrete Fourier transform processing, Get the N elements in the sequence ⁇ x n ⁇ .
  • the first signal is a reference signal; or the first signal is a signal for carrying communication information.
  • ⁇ n s ⁇ set constituted by a sequence consisting of the element s n equivalent sequence comprising at least a first sequence of the first sequence or second sequence in the set, and a second sequence set The second sequence or the equivalent sequence of the second sequence, wherein the sequences in the second sequence set are described in the specification.
  • N 18
  • the sequence of elements s n ⁇ s n ⁇ consisting of a set of at least a first sequence consisting of the sequence set fourth, the fourth and the second sequence of the sequence set
  • the sequence in the fourth sequence set is described in the specification.
  • a third aspect of the embodiments of the present application provides a signal processing apparatus, which may be a communication device, or a chip in a communication device, the communication device or the chip having the first aspect or The functionality of a sequence-based signal processing method in any possible design.
  • the functions may be implemented by hardware or by corresponding software implemented by hardware.
  • the hardware or software includes one or more units corresponding to the functions described above.
  • the communication device includes: a processing unit and a transceiver unit, the processing unit may be a processor, the transceiver unit may be a transceiver, the transceiver includes a radio frequency circuit, and optionally, the communication device further includes a storage unit
  • the storage unit may be, for example, a memory.
  • the communication device includes a storage unit, the storage unit is configured to store a computer execution instruction, the processing unit is coupled to the storage unit, and the processing unit executes a computer execution instruction stored by the storage unit to The communication device performs a sequence-based signal processing method in the first aspect or any possible design thereof.
  • the chip includes a processing unit and a transceiver unit, and the processing unit may be a processor, and the transceiver unit may be an input/output interface, a pin or a circuit on the chip.
  • the processing unit may execute computer-executed instructions stored by the memory unit to cause the chip to perform a sequence-based signal processing method in the first aspect or any possible design thereof.
  • the storage unit may be a storage unit (for example, a register, a cache, etc.) in the chip, and the storage unit may also be a storage unit located outside the chip in the communication device (for example, Read-only memory (ROM) or other types of static storage devices (eg, random access memory (RAM)) that store static information and instructions.
  • ROM Read-only memory
  • RAM random access memory
  • the processor mentioned in the third aspect may be a central processing unit (CPU), a microprocessor or an application specific integrated circuit (ASIC), or may be one or more for controlling A program-implemented integrated circuit on the one hand or any of its possible designed sequence-based signal processing methods.
  • CPU central processing unit
  • ASIC application specific integrated circuit
  • a fourth aspect of the embodiments of the present application provides a signal processing apparatus, which may be a communication device, or a chip in a communication device, the communication device or the chip having the second aspect or The functionality of a sequence-based signal processing method in any possible design.
  • the functions may be implemented by hardware or by corresponding software implemented by hardware.
  • the hardware or software includes one or more units corresponding to the functions described above.
  • the communication device includes: a processing unit and a transceiver unit, the processing unit may be a processor, the transceiver unit may be a transceiver, the transceiver includes a radio frequency circuit, and optionally, the communication device further includes a storage unit
  • the storage unit may be, for example, a memory.
  • the communication device includes a storage unit, the storage unit is configured to store a computer execution instruction, the processing unit is coupled to the storage unit, and the processing unit executes a computer execution instruction stored by the storage unit to The communication device performs a sequence-based signal processing method in the second aspect or any possible design thereof.
  • the chip includes a processing unit and a transceiver unit, and the processing unit may be a processor, and the transceiver unit may be an input/output interface, a pin or a circuit on the chip.
  • the processing unit may execute computer-executed instructions stored by the memory unit to cause the chip to perform a sequence-based signal processing method in the second aspect or any possible design thereof.
  • the storage unit may be a storage unit (for example, a register, a cache, etc.) in the chip, and the storage unit may also be a storage unit located outside the chip in the communication device (for example, Read-only memory (ROM) or other types of static storage devices (eg, random access memory (RAM)) that store static information and instructions.
  • ROM Read-only memory
  • RAM random access memory
  • the processor mentioned in the fourth aspect may be a central processing unit (CPU), a microprocessor or an application specific integrated circuit (ASIC), or may be one or more for controlling A program-implemented integrated circuit of two aspects or any of its possible designed sequence-based signal processing methods.
  • CPU central processing unit
  • ASIC application specific integrated circuit
  • a fifth aspect of the present application provides a communication system, which includes the communication device provided by the third aspect of the embodiment of the present application, and the communication device provided by the fourth aspect of the embodiment of the present application.
  • a sixth aspect of the embodiments of the present application provides a computer readable storage medium for storing computer instructions, when executed on a computer, causing a computer to perform the first or second aspect of the embodiments of the present application. Sequence based signal processing method.
  • a seventh aspect of the embodiments of the present application provides a computer program product comprising instructions, when executed on a computer, causing a computer to perform the sequence-based signal processing method provided by the first aspect or the second aspect of the embodiments of the present application .
  • the sequence-based signal processing method, the sequence-based signal processing apparatus, the communication system, the computer readable storage medium, and the computer program product disclosed in the embodiments of the present application determine the sequence used to satisfy the PUSCH transmission signal, and the sequence includes N sequence ⁇ x n ⁇ elements, x n is the element sequence ⁇ x n ⁇ , determining the sequence ⁇ x n ⁇ is a sequence satisfies a preset condition, and then generates and transmits a first signal.
  • the sequence it is possible to maintain good sequence frequency domain flatness when transmitting signals using PUSCH, while maintaining a low PAPR value and low inter-sequence cross-correlation, thereby satisfying a communication application environment for transmitting signals by using PUSCH.
  • the NR system or NR-like scene is satisfied.
  • FIG. 1 is a schematic flowchart of a sequence-based signal transmission process according to an embodiment of the present application
  • FIG. 2 is a schematic flowchart of determining a sequence ⁇ x n ⁇ of a terminal device according to an embodiment of the present disclosure
  • FIG. 3 is a schematic flowchart of generating and transmitting a first signal by a terminal device according to an embodiment of the present disclosure
  • Figures 4a, 4b and 4c sequence present embodiment comprises N elements disclosed embodiments apply DFT ⁇ x n ⁇ obtained by the schematic sequence of N frequency domain elements ⁇ f n ⁇ comprising;
  • ⁇ x n ⁇ is a schematic view of the sequence of N subcarriers ⁇ f n ⁇ comprising N elements of the frequency domain obtained by the DFT are mapped to;
  • FIG. 6 is a schematic diagram of processing, by a network device, a first signal according to an embodiment of the present disclosure
  • FIG. 7a and FIG. 7b are schematic diagrams of determining whether a frequency domain of a time domain sequence is flat according to an embodiment of the present disclosure
  • FIG. 8 is a schematic structural diagram of a terminal device according to an embodiment of the present disclosure.
  • FIG. 9 is a schematic structural diagram of another terminal device according to an embodiment of the present disclosure.
  • FIG. 10 is a schematic structural diagram of a network device according to an embodiment of the present disclosure.
  • FIG. 11 is a schematic structural diagram of another network device according to an embodiment of the present disclosure.
  • FIG. 12 is a schematic structural diagram of a communication system according to an embodiment of the present application.
  • the embodiment of the present application provides a sequence-based signal processing method and a communication device.
  • the sequence frequency domain flatness can be maintained while transmitting signals using the PUSCH while maintaining a low level.
  • the PAPR value and the lower inter-sequence cross-correlation thereby satisfying the communication application environment for transmitting signals using the PUSCH.
  • the NR system or NR-like scene is satisfied.
  • a plurality means two or more than two unless otherwise indicated.
  • the words “first”, “second”, and the like are used to distinguish the same items or similar items whose functions and functions are substantially the same. Those skilled in the art can understand that the words “first”, “second” and the like do not limit the number and execution order, and the words “first”, “second” and the like are not necessarily limited.
  • the terms “including” and “comprising” are used in the embodiments and the claims and the claims. For example, a process, method, system, product, or device that comprises a series of steps or modules is not limited to the listed steps or modules, and may include steps or modules not listed.
  • a channel estimation matrix is typically obtained using a reference signal to demodulate data information.
  • the uplink DMRS can use a Gold-based sequence.
  • the sequence can also use CGS.
  • the upstream DFT-s-OFDM DMRS waveform uses the ⁇ /2BPSK modulation method and a filter is used, if the uplink DMRS uses a sequence based on the Gold sequence or CGS, if the appropriate filtering is not performed, the frequency of the sequence will be flat. The degree is poor, which is not conducive to channel estimation.
  • it is intended to support DFT-s-OFDM DMRS waveforms in NR using ZC sequences.
  • the ZC sequence is a sequence that satisfies the nature of the CAZAC sequence, and its mathematical definition is as follows: When the length N of the ZC sequence is even: When the length N of the ZC sequence is an odd number: The period of the ZC sequence is the length of its sequence and satisfies the properties of central symmetry. In addition, the ZC sequence has good autocorrelation and cross-correlation. Its autocorrelation coefficient is N at the starting point, and other points are zero, and the correlation coefficient between different roots is approximated.
  • the use of the ZC sequence causes the PAPR of the DMRS to be higher than the PAPR of the transmitted data, resulting in out-of-band spurious emissions and in-band signal loss of the pilot signal. Affects channel estimation performance or results in limited uplink coverage.
  • the sequence used by the DMRS for the PDSCH is
  • the PDSCH transmission signal can maintain a good sequence frequency domain flatness while maintaining a low PAPR value and a low inter-sequence cross-correlation.
  • the embodiment of the present invention provides a specific implementation process of sequence-based signal processing. The following examples are described in detail.
  • sequence-based signal processing is primarily described from the receiving side and the transmitting side in a communication system or communication application environment.
  • the receiving side may be a network device, and the sending side may be a terminal device; or the receiving side may be a terminal device, and the sending side may be a network side.
  • the description is made by taking the receiving side as the network device and the transmitting side as the terminal device as an example, but the present invention is not limited thereto.
  • the terminal device involved in the embodiment of the present application may be a user equipment.
  • the user equipment can be a wired device or a wireless device.
  • the wireless device may be a handheld device having a wireless connection function, or another processing device connected to the wireless modem, and a mobile terminal that communicates with one or more core networks via the wireless access network.
  • the wireless terminal can be a mobile phone, a mobile phone, a computer, a tablet, a personal digital assistant (PDA), a mobile internet device (MID), a wearable device, an e-book reader, and the like.
  • the wireless terminal can also be a portable, pocket, handheld, computer built-in or in-vehicle mobile device.
  • the wireless terminal can be a mobile station or an access point.
  • the network device involved in the embodiment of the present application may be a base station.
  • the base station may include various forms of macro base stations, micro base stations, relay stations, access point base station controllers, transmission and reception points, and the like. In systems using different radio access technologies, the specific name of the base station may vary.
  • a schematic flowchart of a sequence-based signal processing method disclosed in an embodiment of the present application includes:
  • the terminal device determines a sequence ⁇ x n ⁇ including N elements.
  • the terminal device determines a sequence ⁇ x n ⁇ including N elements after accessing the network.
  • the network device determines the sequence ⁇ b n ⁇ and configures it to the terminal device, and the terminal device determines the sequence containing the N elements ⁇ x n ⁇ based on the sequence ⁇ b n ⁇ . .
  • N is a positive integer greater than one.
  • x n is an element in the sequence ⁇ x n ⁇
  • b n is an element in the sequence ⁇ b n ⁇ .
  • the determined sequence ⁇ x n ⁇ is a sequence that satisfies a preset condition.
  • n is an integer
  • n is 0 to N-1
  • N is a positive integer greater than 1.
  • A is a non-zero complex number.
  • b n u ⁇ (1-2 ⁇ s n ), u is a non-zero complex number.
  • the value of u is not fixed.
  • the value of u is the same for all elements in the same sequence currently selected.
  • the value of u can be different for elements in different sequences.
  • sequence consisting of the elements s n ⁇ s n ⁇ is equivalent to one of a first sequence of one sequence, or set of sequences the first sequence of the sequence set.
  • the calculation may also be performed based on the above preset conditions, and the corresponding operation is performed.
  • A is a non-zero complex number.
  • the element b n u ⁇ (1-2 ⁇ s n ), u is a non-zero complex number, and (n+ ⁇ ) mod ⁇ is the lower corner of y.
  • the value of u is not fixed.
  • the value of u is the same for all elements in the same sequence currently selected.
  • the value of u can be different for elements in different sequences.
  • sequence consisting of the elements s n ⁇ s n ⁇ is the third one of the sequences in the sequence set.
  • the element b n u ⁇ (1-2 ⁇ s n ), u is a non-zero complex number, and (n+ ⁇ ) mod ⁇ is the lower corner of y.
  • the set sequence ⁇ s n ⁇ s n of elemental composition comprises at least one of the sequences of the fifth set of sequences.
  • the value of u is not fixed.
  • the value of u is the same for all elements in the same sequence currently selected.
  • the value of u can be different for elements in different sequences.
  • sequence consisting of the elements s n ⁇ s n ⁇ is the third one of the sequences in the sequence set.
  • the sequence in the sequence set 1 includes the following There are 61 sequences, and the corresponding sequence ⁇ x n ⁇ of these sequences and their equivalent sequences after ⁇ /2BPSK modulation satisfies the use of time domain filtering.
  • the filter coefficient is [0.1, 1, 0.1]
  • the PAPR is less than 3.05 dB.
  • the filter coefficient is [0.16, 1, 0.16]
  • the PAPR is less than 2.52 dB.
  • the filter coefficient is [0.22, 1, 0.22] the PAPR is less than 1.95 dB.
  • the PAPR is less than 1.50 dB.
  • the first maximum normalized power that satisfies the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 4 dB, and the first minimum normalized power is greater than -4 dB, that is, the frequency domain flatness of the corresponding sequence ⁇ x n ⁇ Better:
  • the following eight sequences, the corresponding sequence ⁇ x n ⁇ of these sequences and their equivalent sequences after ⁇ /2BPSK modulation satisfies the use of time domain filtering, and the PAPR is less than 1.50 dB when the filter coefficient is [0.28, 1, 0.28]:
  • the first maximum normalized power that satisfies the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 4 dB, and the first minimum normalized power is greater than -4 dB, that is, the frequency domain flatness of the corresponding sequence ⁇ x n ⁇ Better:
  • the sequence in the first sequence set includes part or all of the sequence set 2, and the sequence set 2 includes the following 194 sequences, the corresponding sequence ⁇ x n ⁇ after ⁇ /2 BPSK modulation of these sequences and their equivalent sequences satisfy the use of time domain filtering.
  • the filter coefficient is [0.1, 1, 0.1]
  • the PAPR is less than 3.17dB
  • the filter coefficient When [0.16,1,0.16], the PAPR is less than 2.58dB, the PAPR is less than 1.94dB when the filter coefficient is [0.22,1,0.22], and the PAPR is less than 1.39dB when the filter coefficient is [0.28,1,0.28].
  • the first maximum normalized power satisfying the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 1.5 dB, and the first minimum normalized power is greater than -1.5 dB, that is, the frequency domain of the corresponding sequence ⁇ x n ⁇ is flat.
  • the corresponding sequence ⁇ x n ⁇ of these sequences and their equivalent sequences after ⁇ /2BPSK modulation satisfies the use of time domain filtering, and the PAPR is less than 1.39 dB when the filter coefficient is [0.28, 1, 0.28]
  • the first maximum normalized power satisfying the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 1.5 dB, and the first minimum normalized power is greater than -1.5 dB, that is, the frequency of the corresponding sequence ⁇ x n ⁇
  • the domain flatness is better:
  • the sequence in the first sequence set includes part or all of the sequence set 3, and the sequence set 3 includes The following 144 sequences, the corresponding sequence ⁇ x n ⁇ after ⁇ /2BPSK modulation of these sequences and their equivalent sequences satisfy the use of time domain filtering, and the PAPR is less than 3.19 dB when the filter coefficient is [0.1, 1, 0.1], filtering
  • the coefficient is [0.16,1,0.16]
  • the PAPR is less than 2.59dB
  • the PAPR is less than 1.95dB when the filter coefficient is [0.22,1,0.22]
  • the PAPR is less than 1.40dB when the filter coefficient is [0.28,1,0.28].
  • the first maximum normalized power that satisfies the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 1 dB, and the first minimum normalized power is greater than -1 dB, that is, the frequency domain flatness of the corresponding sequence ⁇ x n ⁇ Better:
  • filter coefficients are [0.28,1,0.28]
  • the PAPR is less than 1.40 dB
  • the first maximum normalized power satisfying the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 1 dB
  • the first minimum normalized power is greater than -1 dB, that is, the corresponding sequence ⁇ x n ⁇
  • the frequency domain flatness is better:
  • the sequence in the first sequence set includes: intercepting and generating one through two preset 127-length m sequence modulo 2 addition Part or all of the sequence obtained by 120 elements in the 127Glod sequence;
  • the generator polynomial of the two preset 127-length m sequences includes: ⁇ x 7 + x 3 +1 and x 7 + x+1 ⁇ , when the initial state of the first m-sequence is ⁇ 1, 1, 1, 1,1,1,1 ⁇ , the initial state of the second m sequence includes:
  • the generator polynomials of the two preset 127-length m sequences include: ⁇ x 7 +x 3 +1 and x 7 +x 6 +1 ⁇ , when the initial state of the first m-sequence is ⁇ 1,1,1,1 , 1,1,1 ⁇ , the initial state of the second m sequence includes:
  • the generator polynomials of the two preset 127-length m sequences include: ⁇ x 7 +x+1 and x 7 +x 4 +1 ⁇ , when the initial state of the first m-sequence is ⁇ 1, 1, 1, 1, 1,1,1 ⁇ , the initial state of the second m sequence includes:
  • the generator polynomials of the two preset 127-length m sequences include: ⁇ x 7 + x 6 +1 and x 7 + x 4 +1 ⁇ , when the initial state of the first m-sequence is ⁇ 1, 1, 1, 1 , 1,1,1 ⁇ , the initial state of the second m sequence includes:
  • the generator polynomial of all the above m sequences is a polynomial with a small number of terms in the original polynomial.
  • the sequence in the sequence set 14 includes the following 108 sequences.
  • the corresponding sequence ⁇ x n ⁇ after ⁇ /2BPSK modulation satisfies the use of time domain filtering.
  • the filter coefficient is [0.1, 1, 0.1]
  • the PAPR is less than 2.89 dB.
  • the filter coefficient is [0.16, 1, 0.16]
  • the PAPR is less than 2.35 dB.
  • the filter coefficient is [0.22, 1, 0.22]
  • the PAPR is less than 1.76 dB.
  • the filter coefficient is [0.28, 1, 0.28] the PAPR is less than 1.27 dB.
  • the second maximum normalized power that satisfies the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 0.5 dB, and the second minimum normalized power is greater than -0.5 dB, that is, the frequency domain of the corresponding sequence ⁇ x n ⁇ Flatness is better:
  • the sequence in the sequence set 15 includes the following 30 sequences, the corresponding sequence ⁇ x n ⁇ after ⁇ /2BPSK modulation satisfies the use of time domain filtering.
  • the filter coefficient is [0.28, 1, 0.28]
  • the PAPR is less than 1.50 dB.
  • the first maximum normalized power of the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 4 dB
  • the first minimum normalized power is greater than -4 dB
  • the cross-correlation is less than 0.85, that is, the corresponding sequence ⁇ x n ⁇ has better frequency domain flatness:
  • the sequence in the sequence set 16 includes the following 30 sequences, which are ⁇ /2BPSK modulated and the corresponding sequence ⁇ x n ⁇ satisfies the use of time domain filtering.
  • the filter coefficient is [0.1, 1, 0.1]
  • the PAPR is less than 2.89 dB.
  • the filter coefficient is [0.16, 1, 0.16]
  • the PAPR is less than 2.35 dB.
  • the filter coefficient is [0.22, 1, 0.22]
  • the PAPR is less than 1.76 dB.
  • the filter coefficient is [0.28, 1, 0.28] the PAPR is less than 1.27 dB.
  • the second maximum normalized power that satisfies the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 0.5 dB, the second minimum normalized power is greater than -0.5 dB, and the cross-correlation coefficient is less than 0.672, that is, the corresponding sequence
  • the frequency domain flatness of ⁇ x n ⁇ is better:
  • the sequence in the sequence set 17 includes the following 30 sequences.
  • the corresponding sequence ⁇ x n ⁇ after ⁇ /2BPSK modulation satisfies the use of time domain filtering.
  • the filter coefficient is [0.28, 1, 0.28]
  • the PAPR is less than 1.39dB
  • the corresponding ⁇ x n ⁇ is satisfied.
  • the first maximum normalized power of the frequency domain sequence is less than 1.5 dB
  • the first minimum normalized power is greater than -1.5 dB
  • the cross-correlation coefficient is less than 0.6, that is, the frequency domain of the corresponding sequence ⁇ x n ⁇ is flat.
  • the process of determining the sequence ⁇ x n ⁇ containing N elements may be as shown in FIG. 2 .
  • the specific process is:
  • the terminal device determines the sequence ⁇ b n ⁇ and A.
  • the value of n is 0 to N-1.
  • A is a non-zero complex number.
  • the sequence ⁇ b n ⁇ may be stored by the terminal device, or may be configured by the network device to the terminal device, or may be calculated by the terminal device according to a predefined formula.
  • S102 Generate a first signal and send the signal to the network device.
  • the process of generating the first signal is as shown in FIG. 3.
  • the terminal device performs a discrete Fourier transform (DFT) on the N elements in the sequence ⁇ x n ⁇ . Processing to get the sequence ⁇ f n ⁇ .
  • the terminal device mainly performs DFT processing using N elements in the configured sequence ⁇ x n ⁇ to obtain a frequency domain sequence, where the frequency domain sequence refers to the sequence ⁇ f n ⁇ .
  • the terminal device maps the sequence ⁇ f n ⁇ to the N subcarriers, generates a first signal and transmits it to the network device.
  • the terminal device performs DFT processing on the sequence ⁇ x n ⁇ of the N elements to obtain a frequency domain sequence, and then maps the frequency domain sequence to the N subcarriers respectively, generates a first signal, and sends the first signal to the network device.
  • the process as shown in Figure 3, includes:
  • the terminal device performs DFT processing on the sequence ⁇ x n ⁇ including N elements to obtain a sequence ⁇ f n ⁇ .
  • the terminal device maps the sequence ⁇ f n ⁇ to the N subcarriers respectively to obtain a frequency domain signal of the N point.
  • the frequency domain signal of the N point is a frequency domain signal containing N elements.
  • s denotes an index of the first subcarrier of the N subcarriers mapped by the sequence ⁇ f n ⁇ in the subcarriers in the communication system.
  • the terminal device maps the N elements in the sequence ⁇ f n ⁇ to consecutive N subcarriers.
  • the elements f 0 to f N-1 in the sequence ⁇ f n ⁇ are respectively mapped to N consecutive subcarriers, and the subcarrier labels are s+0, s+1, ..., s. +N-1.
  • the terminal device sequentially maps N elements in the sequence ⁇ f n ⁇ to N subcarriers in descending order of subcarriers. Among them, an element in a sequence ⁇ f n ⁇ is mapped to one frequency domain subcarrier.
  • the frequency domain subcarrier is the smallest unit of frequency domain resources used to carry data information.
  • the terminal device sequentially maps N elements in the sequence ⁇ f n ⁇ to N subcarriers in descending order of subcarriers. Mapping an element of the sequence ⁇ f n ⁇ to a subcarrier is to carry this element on this subcarrier. After the mapping, when the terminal device transmits data through the radio frequency, it is equivalent to transmitting the element on the subcarrier.
  • different terminal devices can occupy different subcarriers to transmit data.
  • the location of the plurality of subcarriers in which the N subcarriers exist in the communication system may be predefined or the network device is configured by signaling.
  • the N elements in the sequence ⁇ f n ⁇ may also be mapped to the equally spaced N subcarriers, respectively.
  • the interval between the N subcarriers is 1, and the N subcarriers are equally spaced in the frequency domain.
  • the interval of the subcarriers mapped by the elements f 0 to f N-1 in the sequence ⁇ f n ⁇ is 1 subcarrier. Specifically, it is mapped to N equally spaced subcarriers, and the subcarrier numbers are s+0, s+2, ..., s+2(N-1)
  • the terminal device performs inverse fast Fourier transformation (IFFT) on the frequency domain signal including the N elements to obtain a corresponding time domain signal, and adds a cyclic prefix to the time domain signal to generate a first signal.
  • IFFT inverse fast Fourier transformation
  • the terminal device sends the first signal by using a radio frequency.
  • the time domain signal obtained by the terminal device passing the generated frequency domain signal of the N point through the IFFT is an orthogonal frequency division multiplexing (OFDM) symbol.
  • the terminal device sends the first signal through the radio frequency. That is, the terminal device transmits the first signal carrying the sequence ⁇ f n ⁇ on the N subcarriers.
  • the terminal device can transmit the first signal carrying the sequence ⁇ f n ⁇ on one OFDM symbol.
  • the first signal carrying the sequence ⁇ f n ⁇ may also be transmitted on multiple OFDM symbols.
  • the manner for generating the first signal is not limited to the foregoing terminal device performing DFT processing on the sequence ⁇ x n ⁇ including N elements to obtain a frequency domain sequence, and then, the frequency domain sequence is performed. Mapping to N subcarriers respectively, generating a first signal and transmitting the implementation to the network device.
  • the sequence ⁇ y n ⁇ can be used to obtain the sequence ⁇ y n ⁇ for the sequence ⁇ x n ⁇ , and then the sequence ⁇ y n ⁇ is modulated onto the carrier to generate a first signal and send it to the network device.
  • the first signal is a reference signal.
  • the first signal may be UCI, DMRS, SRS, and PTRS. It can also be an acknowledgement (ACK) information, or a negative acknowledgement (NACK) message, or an uplink scheduling request (SR) information.
  • ACK acknowledgement
  • NACK negative acknowledgement
  • SR uplink scheduling request
  • the first signal is a signal for carrying communication information.
  • the carrying manner of the communication information may be carried by means of sequence selection, or may be carried by means of sequence modulation, but is not limited thereto.
  • the sequence is selected by assigning 2 n orthogonal sequences to one terminal device.
  • This 2 n orthogonal sequences may be a 2 n cycles shifted root sequence, which 2 n orthogonal sequences capable of carrying n-bit information.
  • the four sequences labeled 0, 1, 2, and 3. Wherein, 00 corresponds to sequence 0, 01 corresponds to sequence 1, 10 corresponds to sequence ⁇ 2 ⁇ , and 11 corresponds to sequence 3, such that four sequences can carry 2-bit information.
  • the sequence modulation is performed by assigning one sequence to a user and generating modulation symbols for the information that the user needs to transmit.
  • the modulation symbols include, but are not limited to, BPSK symbols, QPSK symbols, 8QAM symbols, 16QAM symbols, and the like.
  • the modulation symbol is multiplied by the sequence to generate an actual transmission sequence.
  • a BPSK match may be 1 or -1.
  • the transmitted sequence may be ⁇ x n ⁇ or ⁇ -x n ⁇ .
  • the terminal device in the network by the sequence ⁇ x n ⁇ comprising N elements A sequence ⁇ b n ⁇ , and determining the network device configuration.
  • A can be a modulation symbol.
  • one channel of data information bits or control information bits is modulated to obtain A.
  • A is carried on the N elements contained in the sequence ⁇ x n ⁇ , and A does not change with the change of n.
  • A is a constant.
  • A 1.
  • A can be a symbol known to both terminal devices and network devices.
  • A can also be expressed as amplitude.
  • A is a constant in one transmission time unit does not mean that A is fixed.
  • A may be changed.
  • the network device receives the first signal carried on the N subcarriers, and acquires N elements in the sequence ⁇ x n ⁇ .
  • the network device receives signals on the N subcarriers according to a predefined or base station configured N subcarriers in a position in a subcarrier of the communication system.
  • the network device acquires the first signal on the N subcarriers on consecutive N subcarriers, or acquires the first signal on the N subcarriers on the N subcarriers that are equally spaced.
  • obtaining a sequence ⁇ x n ⁇ in the manner of N elements of the network device obtains the sequence ⁇ f n ⁇ of N elements, performs inverse discrete Fourier transform processing (inverse of the sequence ⁇ f n ⁇ Discrete fourier transformation, IDFT), obtains N elements in the sequence ⁇ x n ⁇ .
  • IDFT Discrete fourier transformation
  • the first signal is DFT processed by the terminal device for the N elements in the sequence ⁇ x n ⁇ to obtain the sequence ⁇ f n ⁇ , and then the sequence ⁇ f n ⁇ is mapped to Generated on N subcarriers.
  • the sequence ⁇ x n ⁇ refer to the corresponding descriptions in the above S101 and S102, and details are not described herein.
  • Execution of S103 in a possible design, first, the network device acquires the first signal on the N subcarriers on consecutive N subcarriers, or acquires the N subcarriers on the N subcarriers that are equally spaced The first signal. Then, the cyclic prefix of the first signal is removed to obtain a time domain signal. Then, the DFT of the M point is performed on the time domain signal to obtain a frequency domain signal containing N elements, which is greater than or equal to N. Then, N elements in the sequence ⁇ f n ⁇ are determined based on the frequency domain signals containing N elements.
  • the PUSCH is sent by using the configured sequence ⁇ x n ⁇ , and the network device receives the PUSCH by using the sequence ⁇ x n ⁇ configured to the terminal device.
  • the network device processes the first signal according to the N elements in the sequence ⁇ x n ⁇ .
  • a schematic diagram of a processing procedure of the first signal by the network device the network device obtains all possible sequences according to traversing the locally stored sequence ⁇ x' n ⁇ .
  • the acquired sequence ⁇ x n ⁇ is processed separately from all possible sequences of the sequence ⁇ x' n ⁇ and subjected to maximum likelihood comparison to obtain data transmitted by the terminal device.
  • the combination of values for the two-bit information is ⁇ (0, 0), (0, 1), (1, 0), (1, 1) ⁇ .
  • the obtained sequence ⁇ x' n ⁇ is the sequence ⁇ x' 1, n ⁇
  • the two-bit information is (0, 1)
  • the obtained sequence is obtained.
  • ⁇ x' n ⁇ is the sequence ⁇ x' 2, n ⁇ .
  • the obtained sequence ⁇ x' n ⁇ is the sequence ⁇ x' 3, n ⁇
  • the two-bit information is At (1, 1)
  • the resulting sequence ⁇ x' n ⁇ is the sequence ⁇ x' 4, n ⁇ .
  • the four sequences ⁇ x' 1, n ⁇ , ⁇ x' 2, n ⁇ , ⁇ x' 3, n ⁇ , ⁇ x' 4, n ⁇ may be cyclic shift sequences of the same sequence, the sequence ⁇ x n ⁇ is associated with ⁇ x' 1, n ⁇ , ⁇ x' 2, n ⁇ , ⁇ x' 3, n ⁇ , ⁇ x' 4, n ⁇ respectively, and four correlation values are obtained.
  • the value of the two-bit information corresponding to the maximum correlation value is the data acquired by the network device.
  • the maximum correlation value is obtained by correlating the sequence ⁇ x n ⁇ with ⁇ x' 1, n ⁇ , and the two-bit information is (0, 0).
  • a sequence-based signal processing method disclosed in the embodiment of the present application by determining a sequence used to satisfy a PUSCH transmission signal, the sequence is a sequence ⁇ x n ⁇ including N elements, and x n is the sequence ⁇ x n The element in ⁇ , the determined sequence ⁇ x n ⁇ is a sequence satisfying the preset condition, and then the first signal is generated and transmitted.
  • the above determined sequence it is possible to maintain good sequence frequency domain flatness when transmitting signals using PUSCH, while maintaining a low PAPR value and low inter-sequence cross-correlation, thereby satisfying a communication application environment for transmitting signals by using PUSCH.
  • the NR system or NR-like scene is satisfied.
  • the signal processing sequence of sequence-based methods, determined in S101 includes the sequence of N elements of the sequence ⁇ x n ⁇ involved ⁇ s n ⁇ , the composition of the elements s n further, embodiments of the present disclosure based on the above embodiment of the application
  • the set formed by ⁇ s n ⁇ includes at least a first sequence in the second sequence set or an equivalent sequence of the first sequence, and a second sequence in the second sequence set or an equivalent sequence of the second sequence.
  • the sequence of the elements s n ⁇ s n ⁇ consisting of a collection of at least two non-equivalent comprises a sequence equivalent sequence in the second set and second sequences in the sequence set , i.e., ⁇ n s ⁇ set constituted by the element s n of the sequence consisting of at least two sequences comprising a second set of sequences, or, the element s n of the sequence consisting of ⁇ s n ⁇ comprising at least a first set constituted a set of sequences of two sequence and a second sequence of the other equivalent sequence set, or a sequence consisting of the element s n ⁇ s n ⁇ consisting of a collection of sequences comprises at least a second set of An equivalent sequence of a sequence, and an equivalent sequence of another sequence in the second set of sequences.
  • the first sequence and the second sequence may have one sequence in the first sequence set, or may not be in the first sequence set.
  • the set of the sequence ⁇ s n ⁇ composed of the elements s n in S101 includes at least the first sequence in the fourth sequence set, and the fourth sequence set.
  • the number of sequences in the second sequence set is at least two, and two or more sequences may be included.
  • the sequence set 4 includes some or all of the following 30 sequences, and the corresponding sequence ⁇ x n ⁇ of these sequences and their equivalent sequences after ⁇ /2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.1, 1, 0.1
  • the PAPR is less than 3.05dB
  • the PAPR is less than 2.52dB when the filter coefficient is [0.16,1,0.16]
  • the PAPR is less than 1.95dB when the filter coefficient is [0.22,1,0.22]
  • the filter coefficient is [0.28,1.
  • the PAPR is less than 1.50 dB, while the first maximum normalized power satisfying the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 4 dB, and the first minimum normalized power is greater than -4 dB, and these sequences and The number of cross-correlations between the corresponding sequences ⁇ x n ⁇ after the equivalent sequence is ⁇ /2BPSK is less than 0.85:
  • the sequence set 5 includes some or all of the following 30 sequences, and the corresponding sequence ⁇ x n ⁇ of the sequence and its equivalent sequence after ⁇ /2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.28, 1, 0.28].
  • the PAPR is less than 1.50 dB
  • the first maximum normalized power satisfying the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 4 dB
  • the first minimum normalized power is greater than -4 dB
  • the sequence corresponds to The number of cross-correlations between sequences ⁇ x n ⁇ is less than 0.84:
  • the sequence set 6 includes some or all of the following 30 sequences, and the corresponding sequence ⁇ x n ⁇ of the sequence and its equivalent sequence after ⁇ /2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.1, 1, 0.1
  • the PAPR is less than 3.17dB
  • the PAPR is less than 2.58dB when the filter coefficient is [0.16,1,0.16]
  • the PAPR is less than 1.94dB when the filter coefficient is [0.22,1,0.22]
  • the filter coefficient is [0.28,1.
  • the PAPR is less than 1.39 dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 1.5 dB, and the first minimum normalized power is greater than -1.5 dB, that is, corresponding
  • the frequency domain flatness of the sequence ⁇ x n ⁇ is better, and the number of correlations between the sequences ⁇ x n ⁇ corresponding to the sequence is less than 0.66:
  • the sequence in the sequence set 7 includes some or all of the following 30 sequences, and the corresponding sequence ⁇ x n ⁇ of the sequence and its equivalent sequence after ⁇ /2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.28, 1,0.28], the PAPR is less than 1.39dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 1.5dB, and the first minimum normalized power is greater than -1.5dB, ie
  • the frequency domain flatness of the corresponding sequence ⁇ x n ⁇ is better, and the number of correlations between the sequences ⁇ x n ⁇ corresponding to the sequence is less than 0.6:
  • the sequence in the sequence set 11 includes some or all of the following 62 sequences, and the corresponding sequence ⁇ x n ⁇ of the sequence and its equivalent sequence after ⁇ /2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.1, When 1,0.1], the PAPR is less than 3.17dB, the PAPR is less than 2.58dB when the filter coefficient is [0.16,1,0.16], and the PAPR is less than 1.94dB when the filter coefficient is [0.22,1,0.22], and the filter coefficient is [0.28].
  • the PAPR is less than 1.39dB
  • the first maximum normalized power satisfying the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 1.5dB
  • the first minimum normalized power is greater than -1.5dB. That is, the frequency domain flatness of the corresponding sequence ⁇ x n ⁇ is relatively good, and the number of correlations between the sequences ⁇ x n ⁇ corresponding to the sequence is less than 0.69:
  • the sequence in the sequence set 9 includes some or all of the following 56 sequences, and the corresponding sequence ⁇ x n ⁇ of the sequence and its equivalent sequence after ⁇ /2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.28, At 1,0.28], the PAPR is less than 1.49 dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to ⁇ x n ⁇ is less than 1.5 dB, and the first minimum normalized power is greater than -1.5 dB, that is, The frequency domain flatness of the corresponding sequence ⁇ x n ⁇ is better, and the number of correlations between the sequences ⁇ x n ⁇ corresponding to the sequence is less than 0.67:

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Abstract

Provided are a sequence-based signal processing method and apparatus. The method comprises: determining a sequence that is used to satisfy a PUSCH sending a signal, the sequence being a sequence {xn} that comprises N elements, wherein xn indicates the elements in the sequence {xn}, and the determined sequence {xn} is a sequence that satisfies a pre-set condition; and then generating a first signal and sending same. By using the foregoing determined sequence, better sequence frequency domain flatness can be maintained when a PUSCH is used to send a signal, and a lower PAPR value and lower cross correlation between sequences can also be maintained, thereby satisfying a communication application environment of using the PUSCH to send a signal. In particular, an NR system or a scenario similar to NR is satisifed.

Description

基于序列的信号处理方法及信号处理装置Sequence-based signal processing method and signal processing device
本申请要求于2017年11月16日提交中国专利局、申请号为201711140831.9、申请名称为“基于序列的信号处理方法及信号处理装置”的中国专利申请的优先权,其全部内容通过引用结合在本申请中,以及同时要求于2018年11月2日提交中国专利局、申请号为201811303070.9、申请名称为“基于序列的信号处理方法及信号处理装置”的中国专利申请的优先权,其全部内容通过引用结合在本申请中。This application claims the priority of the Chinese Patent Application filed on November 16, 2017, the Chinese Patent Application No. PCT-A No. In this application, and at the same time, it is required to submit the priority of the Chinese Patent Application entitled "Sequence-Based Signal Processing Method and Signal Processing Device" to the Chinese Patent Office, Application No. 201811303070.9 on November 2, 2018, the entire contents of which are hereby incorporated by reference. This is incorporated herein by reference.
技术领域Technical field
本申请涉及通信技术领域,尤其是,涉及一种基于序列的信号处理方法及信号处理装置。The present application relates to the field of communications technologies, and in particular, to a sequence-based signal processing method and a signal processing apparatus.
背景技术Background technique
在长期演进(long term evolution,LTE)系统中,物理上行共享信道(physical uplink shared channel,PUSCH)使用解调参考信号(demodulation reference signal,DMRS)进行信道估计,从而进行信号解调。在LTE系统中,上行DMRS的基序列直接映射到资源元上,不需要任何编码处理。在LTE中,上行DMRS参考序列被定义为基本序列的循环移位,上行DMRS的基序列由Zadoff-Chu序列(ZC序列)循环扩充获得。该ZC序列,是满足恒包络零自相关(constant amplitude zero auto-correlation,CAZAC)序列性质的序列。In a long term evolution (LTE) system, a physical uplink shared channel (PUSCH) performs channel estimation using a demodulation reference signal (DMRS) to perform signal demodulation. In the LTE system, the base sequence of the uplink DMRS is directly mapped to the resource element, and no coding process is required. In LTE, the uplink DMRS reference sequence is defined as a cyclic shift of the basic sequence, and the base sequence of the uplink DMRS is obtained by cyclic extension of the Zadoff-Chu sequence (ZC sequence). The ZC sequence is a sequence that satisfies the nature of a constant amplitude zero auto-correlation (CAZAC) sequence.
在新无线电接入技术(new radio access technology,NR)中支持上行离散傅里叶变换扩频的正交频分复用多址接入(Discrete Fourier Transform spread OFDM,DFT-s-OFDM)波形使用π/2BPSK调制方法,并且支持π/2BPSK调制时使用滤波。在上行DFT-s-OFDM DMRS波形使用π/2BPSK调制时,该上行DMRS可以使用基于Gold序列的序列,还可以使用计算机生成序列(Computer Generated Sequence,CGS)。目前,拟在NR中支持DFT-s-OFDM DMRS波形使用ZC序列。但是,在上行DFT-s-OFDM DMRS波形使用π/2BPSK调制方式,并使用滤波器时,若上行DFT-s-OFDM DMRS波形使用基于Gold序列的序列或者CGS时,若不能进行合适的筛选,会导致序列的频率平坦度较差,从而不利于进行信道估计。若上行DFT-s-OFDM DMRS波形使用ZC序列会导致DMRS的峰均功率比(peak-to-average power ratio,PAPR)比传输数据的PAPR高,导致导频信号带外杂散发射和带内信号损失,影响信道估计性能,或者导致上行覆盖受限。The use of Discrete Fourier Transform spread OFDM (DFT-s-OFDM) waveforms for uplink discrete Fourier transform spread spectrum in new radio access technology (NR) π/2BPSK modulation method, and filtering is used when π/2BPSK modulation is supported. When the uplink DFT-s-OFDM DMRS waveform uses π/2 BPSK modulation, the uplink DMRS may use a Gold sequence-based sequence, and may also use a Computer Generated Sequence (CGS). Currently, it is proposed to support the DFT-s-OFDM DMRS waveform in the NR using the ZC sequence. However, when the upstream DFT-s-OFDM DMRS waveform uses the π/2BPSK modulation method and a filter is used, if the uplink DFT-s-OFDM DMRS waveform uses a sequence based on a Gold sequence or CGS, if proper filtering is not possible, This will result in a poor frequency flatness of the sequence, which is not conducive to channel estimation. If the uplink DFT-s-OFDM DMRS waveform uses the ZC sequence, the peak-to-average power ratio (PAPR) of the DMRS is higher than the PAPR of the transmitted data, resulting in out-of-band spurious emissions and in-band of the pilot signal. Signal loss, affecting channel estimation performance, or causing limited uplink coverage.
也就是说,采用现有的用于PDSCH的DMRS所使用的序列,不能够满足目前利用PUSCH发送信号的通信应用环境。That is to say, the sequence used by the existing DMRS for the PDSCH cannot satisfy the communication application environment currently transmitting signals using the PUSCH.
发明内容Summary of the invention
有鉴于此,本申请实施例提供一种基于序列的信号处理方法及通信设备,用于提 供新的序列,已满足利用PUSCH发送信号的通信应用环境。In view of this, the embodiments of the present application provide a sequence-based signal processing method and a communication device, which are used to provide a new sequence, and satisfy a communication application environment for transmitting signals by using a PUSCH.
本申请实施例提供如下技术方案:The embodiments of the present application provide the following technical solutions:
本申请实施例的第一方面提供了一种基于序列的信号处理方法,包括:确定包括N个元素的序列{x n},N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=A·b n·j n,n的取值为0至N-1,A为非零复数,
Figure PCTCN2018116011-appb-000001
元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;这里,所述第一序列集合中的序列可参见说明书中的记载;生成第一信号并发送。
A first aspect of the embodiments of the present application provides a sequence-based signal processing method, including: determining a sequence {x n } including N elements, N is a positive integer greater than 1, and x n is the sequence {x n An element in }, the sequence {x n } is a sequence satisfying a preset condition, the preset condition is: x n = A · b n · j n , and the value of n is 0 to N-1, A Is a non-zero plural,
Figure PCTCN2018116011-appb-000001
The element b n =u·(1-2·s n ), u is a non-zero complex number, and the set of sequences {s n } consisting of the elements s n includes at least one of the sequences in the first sequence set or the first One of the equivalent sequences of the sequences in the sequence set; here, the sequence in the first sequence set can be referred to the description in the specification; the first signal is generated and transmitted.
需要注意的是,序列{x n}所满足的预设条件可以有多种等价的表示方式,例如,预设条件还可以表示为:x n=A·b n′·j n mod 2,其中,n为整数,n的取值为0至N-1,N为大于1的正整数。A为非零复数。
Figure PCTCN2018116011-appb-000002
元素b n′=u·(1-2·s n′),u为非零复数。两种预设条件的表示方式虽然不同,但是当s n′和s n满足
Figure PCTCN2018116011-appb-000003
时,
Figure PCTCN2018116011-appb-000004
两种预设条件所描述同一个序列{x n}。
It should be noted that the preset condition that the sequence {x n } satisfies can have multiple equivalent representations. For example, the preset condition can also be expressed as: x n =A·b n '·j n mod 2 , Where n is an integer, n is 0 to N-1, and N is a positive integer greater than 1. A is a non-zero complex number.
Figure PCTCN2018116011-appb-000002
The element b n '=u·(1-2·s n '), u is a non-zero complex number. Although the two preset conditions are expressed differently, when s n ' and s n are satisfied
Figure PCTCN2018116011-appb-000003
Time,
Figure PCTCN2018116011-appb-000004
Two preset conditions describe the same sequence {x n }.
也就是说,针对序列{x n},无论其所满足的预设条件采用什么方式表示,只要当s n′和s n满足
Figure PCTCN2018116011-appb-000005
时,
Figure PCTCN2018116011-appb-000006
满足任意方式表示的预设条件的序列{x n}等同于一个序列。
That is to say, for the sequence {x n }, no matter what way the preset condition is satisfied, as long as when s n ' and s n are satisfied
Figure PCTCN2018116011-appb-000005
Time,
Figure PCTCN2018116011-appb-000006
A sequence {x n } that satisfies a preset condition expressed in any way is equivalent to a sequence.
在一种可能的设计中,当N=18时,可以根据上述方法进行相应操作;当N=18时也可以按照下述方法进行相应操作,下述方法为:当N=18时,确定包括N个元素的序列{x n},N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=y (n+Μ)mod Ν,其中,M∈{0,1,2,...,N-1},y n=A·b n·j n,n的取值为0至N-1,A为非零复数,
Figure PCTCN2018116011-appb-000007
元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第三序列集合中的序列之一;这里,所述第三序列集合中的序列可参见说明书中的记载。
In a possible design, when N=18, the corresponding operation can be performed according to the above method; when N=18, the corresponding operation can also be performed according to the following method, the following method is: when N=18, it is determined to include sequence of N elements {x n}, N is a positive integer greater than 1, x n is an element of {x n} of the sequence, the sequence {x n} is a sequence satisfies a preset condition, the pre- Let the condition be: x n = y (n + Μ) mod Ν , where M ∈ {0, 1, 2, ..., N-1}, y n = A · b n · j n , n The value is 0 to N-1, and A is a non-zero complex number.
Figure PCTCN2018116011-appb-000007
Element b n = u · (1-2 · n s), u is a complex non-zero, set by a sequence of elements s n {s n} consisting of at least one sequence comprising a third set of sequences; here, the The sequences in the third sequence set can be found in the description.
上述方案,利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。In the above solution, by using the sequence determined above, it is possible to maintain a good sequence frequency domain flatness when transmitting signals using the PUSCH, while maintaining a low PAPR value and a low inter-sequence cross-correlation, thereby satisfying the signal transmission using the PUSCH. Communication application environment. In particular, the NR system or NR-like scene is satisfied.
在一种可能的设计中,所述生成第一信号并发送,包括:对所述序列{x n}中的N个元素进行离散傅里叶变换处理,得到序列{f n};将所述序列{f n}中的N个元素分别映射至连续的N个子载波上,得到包含N个元素的频域信号;或者,将所述序列{f n}中的N个元素分别映射至等间隔的N个子载波上,得到包含N个元素的频域信号;生成第一信号;通过射频发送所述第一信号。 In a possible design, the generating the first signal and transmitting comprises: performing discrete Fourier transform processing on the N elements in the sequence {x n } to obtain a sequence {f n }; The N elements in the sequence {f n } are respectively mapped onto consecutive N subcarriers to obtain a frequency domain signal containing N elements; or, the N elements in the sequence {f n } are respectively mapped to equal intervals On the N subcarriers, a frequency domain signal containing N elements is obtained; a first signal is generated; and the first signal is transmitted by radio frequency.
在一种可能的设计中,所述生成第一信号包括:对所述包含N个元素的频域信号进行快速傅里叶反变换,得到对应的时域信号,并为所述时域信号添加循环前缀,生成第一信号。In a possible design, the generating the first signal includes performing an inverse fast Fourier transform on the frequency domain signal including the N elements, obtaining a corresponding time domain signal, and adding the time domain signal. The cyclic prefix generates a first signal.
在一种可能的设计中,还包括:在所述对所述序列{x n}中的N个元素进行离散傅里叶变换处理之前,对所述序列{x n}进行滤波;或者, In one possible design, further comprising: prior to said pair of {x n} of the N elements of the discrete Fourier transform processing sequence, the sequence {x n} filter; or
在所述对所述序列{x n}中的N个元素进行离散傅里叶变换处理之后,对所述序列 {x n}进行滤波; After the pair {x n} of the N elements of the discrete Fourier transform processing sequence, the sequence {x n} filter;
或者,在所述对所述序列{x n}中的N个元素进行离散傅里叶变换处理之前或者之后,都不对所述序列{x n}进行滤波。 Alternatively, the sequence {x n } is not filtered before or after the discrete Fourier transform process on the N elements in the sequence {x n }.
在一种可能的设计中,所述第一信号为参考信号;或者,所述第一信号为用于承载通信信息的信号。In one possible design, the first signal is a reference signal; or the first signal is a signal for carrying communication information.
在一种可能的设计中,由元素s n组成的序列{s n}构成的集合至少包括第二序列集合中的第一序列或所述第一序列中的等价序列,以及第二序列集合中的第二序列或所述第二序列的等价序列,这里,所述第二序列集合中的序列参见说明书中的记载。 In one possible design, {n s} set constituted by a sequence consisting of the element s n equivalent sequence comprising at least a first sequence of the first sequence or second sequence in the set, and a second sequence set The second sequence or the equivalent sequence of the second sequence, wherein the sequences in the second sequence set are described in the specification.
在一种可能的设计中,当N=18时,由元素s n组成的序列{s n}构成的集合至少包括第四序列集合中的第一序列,以及第四序列集合中的第二序列,这里,所述第四序列集合中的序列参见说明书中的记载。 In one possible design, when N = 18, the sequence of elements s n {s n} consisting of a set of at least a first sequence consisting of the sequence set fourth, the fourth and the second sequence of the sequence set Here, the sequence in the fourth sequence set is described in the specification.
在一种可能的设计中,所述等价序列为{q n},所述等价序列{q n}中的元素q n满足q n=s (n+M)mod N,M∈{0,1,2,...,N-1},N为序列长度。 In one possible design, the equivalent sequence is {q n }, and the element q n in the equivalent sequence {q n } satisfies q n =s (n+M) mod N , M ∈ {0 , 1, 2, ..., N-1}, N is the sequence length.
本申请实施例的第二方面提供了一种基于序列的信号处理方法,信号处理方法包括:A second aspect of the embodiments of the present application provides a sequence-based signal processing method, where the signal processing method includes:
接收承载在N个子载波上的第一信号,获取序列{x n}中的N个元素,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=A·b n·j n,n的取值为0至N-1,A为非零复数,
Figure PCTCN2018116011-appb-000008
元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一,这里所述第一序列集合中的序列可参见说明书中的记载;根据所述序列{x n}中的N个元素对所述第一信号进行处理。
Receiving a first signal carried on N subcarriers, acquiring N elements in the sequence {x n }, N being a positive integer greater than 1, and x n being an element in the sequence {x n }, the sequence { x n } is a sequence satisfying a preset condition: x n = A·b n · j n , n is 0 to N-1, and A is a non-zero complex number.
Figure PCTCN2018116011-appb-000008
The element b n =u·(1-2·s n ), u is a non-zero complex number, and the set of sequences {s n } consisting of the elements s n includes at least one of the sequences in the first sequence set or the first One of the equivalent sequences of the sequence in the sequence set, the sequence in the first sequence set described herein can be referred to the description in the specification; the first signal is processed according to the N elements in the sequence {x n } .
需要注意的是,序列{x n}所满足的预设条件可以有多种等价的表示方式,例如,预设条件还可以表示为:x n=A·b n′·j n mod 2,其中,n为整数,n的取值为0至N-1,N为大于1的正整数。A为非零复数。
Figure PCTCN2018116011-appb-000009
元素b n′=u·(1-2·s n′),u为非零复数。两种预设条件的表示方式虽然不同,但是当s n′和s n满足
Figure PCTCN2018116011-appb-000010
时,
Figure PCTCN2018116011-appb-000011
两种预设条件所描述同一个序列{x n}。
It should be noted that the preset condition that the sequence {x n } satisfies can have multiple equivalent representations. For example, the preset condition can also be expressed as: x n =A·b n '·j n mod 2 , Where n is an integer, n is 0 to N-1, and N is a positive integer greater than 1. A is a non-zero complex number.
Figure PCTCN2018116011-appb-000009
The element b n '=u·(1-2·s n '), u is a non-zero complex number. Although the two preset conditions are expressed differently, when s n ' and s n are satisfied
Figure PCTCN2018116011-appb-000010
Time,
Figure PCTCN2018116011-appb-000011
Two preset conditions describe the same sequence {x n }.
也就是说,针对序列{x n},无论其所满足的预设条件采用什么方式表示,只要当s n′和s n满足
Figure PCTCN2018116011-appb-000012
时,
Figure PCTCN2018116011-appb-000013
满足任意方式表示的预设条件的序列{x n}等同于一个序列。
That is to say, for the sequence {x n }, no matter what way the preset condition is satisfied, as long as when s n ' and s n are satisfied
Figure PCTCN2018116011-appb-000012
Time,
Figure PCTCN2018116011-appb-000013
A sequence {x n } that satisfies a preset condition expressed in any way is equivalent to a sequence.
在一种可能的设计中,当N=18时,可以根据上述方法进行相应操作;当N=18时也可以按照下述方法进行相应操作,下述方法为:当N=18时,接收承载在N个子载波上的第一信号,获取序列{x n}中的N个元素,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=y (n+Μ)mod Ν,其中,M∈{0,1,2,...,N-1},y n=A·b n·j n,n的取值为0至N-1,A为非零复数,
Figure PCTCN2018116011-appb-000014
元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第三序列集合中的序列之一;这里,所述第三序列集合中的序列可参见说明书中的记载。
In a possible design, when N=18, the corresponding operation can be performed according to the above method; when N=18, the corresponding operation can also be performed according to the following method, the following method is: when N=18, receiving the bearer a first signal on the N subcarriers, obtaining a sequence {x n} of N elements, N being a positive integer greater than 1, x n is an element of {x n} of the sequence, the sequence {x n } is a sequence satisfying a preset condition, the preset condition is: x n = y (n + Μ) mod Ν , where M ∈ {0, 1, 2, ..., N-1}, y n =A·b n ·j n , the value of n is 0 to N-1, and A is a non-zero complex number.
Figure PCTCN2018116011-appb-000014
Element b n = u · (1-2 · n s), u is a complex non-zero, set by a sequence of elements s n {s n} consisting of at least one sequence comprising a third set of sequences; here, the The sequences in the third sequence set can be found in the description.
上述方案,利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。In the above solution, by using the sequence determined above, it is possible to maintain a good sequence frequency domain flatness when transmitting signals using the PUSCH, while maintaining a low PAPR value and a low inter-sequence cross-correlation, thereby satisfying the signal transmission using the PUSCH. Communication application environment. In particular, the NR system or NR-like scene is satisfied.
在一种可能的设计中,所述接收承载在N个子载波上的第一信号,获取序列序列{x n}中的N个元素,包括:在连续的N个子载波上获取所述N个子载波上的第一信号,或者,在等间隔的N个子载波上获取所述N个子载波上的第一信号;获取序列{f n}中的N个元素,N为大于1的正整数,所述第一信号由所述序列{f n}映射至N个子载波上生成,f n为所述序列{f n}中的元素;对所述序列{f n}进行离散傅里叶反变换处理,获取序列{x n}中的N个元素。 In a possible design, the receiving the first signal carried on the N subcarriers, acquiring the N elements in the sequence sequence {x n }, including: acquiring the N subcarriers on consecutive N subcarriers a first signal, or acquiring a first signal on the N subcarriers on equally spaced N subcarriers; acquiring N elements in the sequence {f n }, where N is a positive integer greater than 1, a first signal is mapped by the sequence {f n} to generate the N sub-carriers, f n is an element {f n} of the sequence; the sequence {f n} performs inverse discrete Fourier transform processing, Get the N elements in the sequence {x n }.
在一种可能的设计中,所述第一信号为参考信号;或者,所述第一信号为用于承载通信信息的信号。In one possible design, the first signal is a reference signal; or the first signal is a signal for carrying communication information.
在一种可能的设计中,由元素s n组成的序列{s n}构成的集合至少包括第二序列集合中的第一序列或所述第一序列中的等价序列,以及第二序列集合中的第二序列或所述第二序列的等价序列,这里,所述第二序列集合中的序列参见说明书中的记载。 In one possible design, {n s} set constituted by a sequence consisting of the element s n equivalent sequence comprising at least a first sequence of the first sequence or second sequence in the set, and a second sequence set The second sequence or the equivalent sequence of the second sequence, wherein the sequences in the second sequence set are described in the specification.
在一种可能的设计中,当N=18时,由元素s n组成的序列{s n}构成的集合至少包括第四序列集合中的第一序列,以及第四序列集合中的第二序列,这里,所述第四序列集合中的序列参见说明书中的记载。 In one possible design, when N = 18, the sequence of elements s n {s n} consisting of a set of at least a first sequence consisting of the sequence set fourth, the fourth and the second sequence of the sequence set Here, the sequence in the fourth sequence set is described in the specification.
在一种可能的设计中,所述等价序列为{q n},所述等价序列{q n}中的元素q n满足q n=s (n+M)mod N,M∈{0,1,2,...,N-1},N为序列长度。 In one possible design, the equivalent sequence is {q n }, and the element q n in the equivalent sequence {q n } satisfies q n =s (n+M) mod N , M ∈ {0 , 1, 2, ..., N-1}, N is the sequence length.
本申请实施例的第三方面提供了一种信号处理装置,所述信号处理装置可以是通信设备,也可以是通信设备内的芯片,所述通信设备或所述芯片具有实现第一方面或其任意可能的设计中的基于序列的信号处理方法的功能。所述功能可以通过硬件实现,也可以通过硬件执行相应的软件实现。所述硬件或软件包括一个或多个与上述功能相对应的单元。A third aspect of the embodiments of the present application provides a signal processing apparatus, which may be a communication device, or a chip in a communication device, the communication device or the chip having the first aspect or The functionality of a sequence-based signal processing method in any possible design. The functions may be implemented by hardware or by corresponding software implemented by hardware. The hardware or software includes one or more units corresponding to the functions described above.
所述通信设备包括:处理单元和收发单元,所述处理单元可以是处理器,所述收发单元可以是收发器,所述收发器包括射频电路,可选地,所述通信设备还包括存储单元,所述存储单元例如可以是存储器。当所述通信设备包括存储单元时,所述存储单元用于存储计算机执行指令,所述处理单元与所述存储单元连接,所述处理单元执行所述存储单元存储的计算机执行指令,以使所述通信设备执行第一方面或其任意可能的设计中的基于序列的信号处理方法。The communication device includes: a processing unit and a transceiver unit, the processing unit may be a processor, the transceiver unit may be a transceiver, the transceiver includes a radio frequency circuit, and optionally, the communication device further includes a storage unit The storage unit may be, for example, a memory. When the communication device includes a storage unit, the storage unit is configured to store a computer execution instruction, the processing unit is coupled to the storage unit, and the processing unit executes a computer execution instruction stored by the storage unit to The communication device performs a sequence-based signal processing method in the first aspect or any possible design thereof.
所述芯片包括:处理单元和收发单元,所述处理单元可以是处理器,所述收发单元可以是所述芯片上的输入/输出接口、管脚或电路等。所述处理单元可执行存储单元存储的计算机执行指令,以使所述芯片执行第一方面或其任意可能的设计中的基于序列的信号处理方法。可选地,所述存储单元可以是所述芯片内的存储单元(例如,寄存器、缓存等),所述存储单元还可以是所述通信设备内的位于所述芯片外部的存储单元(例如,只读存储器(read-only memory,ROM))或可存储静态信息和指令的其他类型的静态存储设备(例如,随机存取存储器(random access memory,RAM))等。The chip includes a processing unit and a transceiver unit, and the processing unit may be a processor, and the transceiver unit may be an input/output interface, a pin or a circuit on the chip. The processing unit may execute computer-executed instructions stored by the memory unit to cause the chip to perform a sequence-based signal processing method in the first aspect or any possible design thereof. Optionally, the storage unit may be a storage unit (for example, a register, a cache, etc.) in the chip, and the storage unit may also be a storage unit located outside the chip in the communication device (for example, Read-only memory (ROM) or other types of static storage devices (eg, random access memory (RAM)) that store static information and instructions.
第三方面中提到的处理器可以是一个中央处理器(central processing unit,CPU)、微处理器或专用集成电路(application specific integrated circuit,ASIC),也可以是一个或多个用于控制第一方面或其任意可能的设计的基于序列的信号处理方法的程序执行的集成电路。The processor mentioned in the third aspect may be a central processing unit (CPU), a microprocessor or an application specific integrated circuit (ASIC), or may be one or more for controlling A program-implemented integrated circuit on the one hand or any of its possible designed sequence-based signal processing methods.
本申请实施例的第四方面提供了一种信号处理装置,所述信号处理装置可以是通信设备,也可以是通信设备内的芯片,所述通信设备或所述芯片具有实现第二方面或其任意可能的设计中的基于序列的信号处理方法的功能。所述功能可以通过硬件实现,也可以通过硬件执行相应的软件实现。所述硬件或软件包括一个或多个与上述功能相对应的单元。A fourth aspect of the embodiments of the present application provides a signal processing apparatus, which may be a communication device, or a chip in a communication device, the communication device or the chip having the second aspect or The functionality of a sequence-based signal processing method in any possible design. The functions may be implemented by hardware or by corresponding software implemented by hardware. The hardware or software includes one or more units corresponding to the functions described above.
所述通信设备包括:处理单元和收发单元,所述处理单元可以是处理器,所述收发单元可以是收发器,所述收发器包括射频电路,可选地,所述通信设备还包括存储单元,所述存储单元例如可以是存储器。当所述通信设备包括存储单元时,所述存储单元用于存储计算机执行指令,所述处理单元与所述存储单元连接,所述处理单元执行所述存储单元存储的计算机执行指令,以使所述通信设备执行第二方面或其任意可能的设计中的基于序列的信号处理方法。The communication device includes: a processing unit and a transceiver unit, the processing unit may be a processor, the transceiver unit may be a transceiver, the transceiver includes a radio frequency circuit, and optionally, the communication device further includes a storage unit The storage unit may be, for example, a memory. When the communication device includes a storage unit, the storage unit is configured to store a computer execution instruction, the processing unit is coupled to the storage unit, and the processing unit executes a computer execution instruction stored by the storage unit to The communication device performs a sequence-based signal processing method in the second aspect or any possible design thereof.
所述芯片包括:处理单元和收发单元,所述处理单元可以是处理器,所述收发单元可以是所述芯片上的输入/输出接口、管脚或电路等。所述处理单元可执行存储单元存储的计算机执行指令,以使所述芯片执行第二方面或其任意可能的设计中的基于序列的信号处理方法。可选地,所述存储单元可以是所述芯片内的存储单元(例如,寄存器、缓存等),所述存储单元还可以是所述通信设备内的位于所述芯片外部的存储单元(例如,只读存储器(read-only memory,ROM))或可存储静态信息和指令的其他类型的静态存储设备(例如,随机存取存储器(random access memory,RAM))等。The chip includes a processing unit and a transceiver unit, and the processing unit may be a processor, and the transceiver unit may be an input/output interface, a pin or a circuit on the chip. The processing unit may execute computer-executed instructions stored by the memory unit to cause the chip to perform a sequence-based signal processing method in the second aspect or any possible design thereof. Optionally, the storage unit may be a storage unit (for example, a register, a cache, etc.) in the chip, and the storage unit may also be a storage unit located outside the chip in the communication device (for example, Read-only memory (ROM) or other types of static storage devices (eg, random access memory (RAM)) that store static information and instructions.
第四方面中提到的处理器可以是一个中央处理器(central processing unit,CPU)、微处理器或专用集成电路(application specific integrated circuit,ASIC),也可以是一个或多个用于控制第二方面或其任意可能的设计的基于序列的信号处理方法的程序执行的集成电路。The processor mentioned in the fourth aspect may be a central processing unit (CPU), a microprocessor or an application specific integrated circuit (ASIC), or may be one or more for controlling A program-implemented integrated circuit of two aspects or any of its possible designed sequence-based signal processing methods.
本申请实施例的第五方面提供了一种通信系统,所述通信系统包括本申请实施例的第三方面提供的通信设备,以及本申请实施例的第四方面提供的通信设备。A fifth aspect of the present application provides a communication system, which includes the communication device provided by the third aspect of the embodiment of the present application, and the communication device provided by the fourth aspect of the embodiment of the present application.
本申请实施例的第六方面提供了一种计算机可读存储介质,用于存储计算机指令,当其在计算机上运行时,使得计算机执行本申请实施例的第一方面或第二方面提供的的基于序列的信号处理方法。A sixth aspect of the embodiments of the present application provides a computer readable storage medium for storing computer instructions, when executed on a computer, causing a computer to perform the first or second aspect of the embodiments of the present application. Sequence based signal processing method.
本申请实施例的第七方面提供了一种包含指令的计算机程序产品,当其在计算机上运行时,使得计算机执行本申请实施例的第一方面或第二方面提供的基于序列的信号处理方法。A seventh aspect of the embodiments of the present application provides a computer program product comprising instructions, when executed on a computer, causing a computer to perform the sequence-based signal processing method provided by the first aspect or the second aspect of the embodiments of the present application .
本申请实施例公开的上述基于序列的信号处理方法、基于序列的信号处理装置、通信系统、计算机可读存储介质及计算机程序产品,通过确定满足PUSCH发送信号所使用的序列,该序列为包括N个元素的序列{x n},x n为所述序列{x n}中的元素,确定的 序列{x n}为满足预设条件的序列,然后,生成第一信号并发送。利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。 The sequence-based signal processing method, the sequence-based signal processing apparatus, the communication system, the computer readable storage medium, and the computer program product disclosed in the embodiments of the present application determine the sequence used to satisfy the PUSCH transmission signal, and the sequence includes N sequence {x n} elements, x n is the element sequence {x n}, determining the sequence {x n} is a sequence satisfies a preset condition, and then generates and transmits a first signal. By using the above determined sequence, it is possible to maintain good sequence frequency domain flatness when transmitting signals using PUSCH, while maintaining a low PAPR value and low inter-sequence cross-correlation, thereby satisfying a communication application environment for transmitting signals by using PUSCH. . In particular, the NR system or NR-like scene is satisfied.
附图说明DRAWINGS
图1为本申请实施例公开的一种基于序列的信号发送处理的流程示意图;FIG. 1 is a schematic flowchart of a sequence-based signal transmission process according to an embodiment of the present application;
图2为本申请实施例公开的一种终端设备确定序列{x n}的流程示意图; 2 is a schematic flowchart of determining a sequence {x n } of a terminal device according to an embodiment of the present disclosure;
图3为本申请实施例公开的终端设备生成并发送第一信号的流程示意图;3 is a schematic flowchart of generating and transmitting a first signal by a terminal device according to an embodiment of the present disclosure;
图4a,图4b和图4c为本申请实施例公开的包含N个元素的序列{x n}经DFT得到频域的包含N个元素的序列{f n}的示意图; Figures 4a, 4b and 4c sequence present embodiment comprises N elements disclosed embodiments apply DFT {x n} obtained by the schematic sequence of N frequency domain elements {f n} comprising;
图5a和图5b为本申请实施例公开的包含N个元素的序列{x n}经DFT得到的频域的包含N个元素的序列{f n}映射到N个子载波上的示意图; 5a and 5b sequence comprising N elements according to the present application disclosed embodiments {x n} is a schematic view of the sequence of N subcarriers {f n} comprising N elements of the frequency domain obtained by the DFT are mapped to;
图6为本申请实施例公开的网络设备处理第一信号的示意图;FIG. 6 is a schematic diagram of processing, by a network device, a first signal according to an embodiment of the present disclosure;
图7a和图7b为本申请实施例公开的判断一个时域序列的频域是否平坦的流程示意图;7a and FIG. 7b are schematic diagrams of determining whether a frequency domain of a time domain sequence is flat according to an embodiment of the present disclosure;
图8为本申请实施例公开的一种终端设备的结构示意图;FIG. 8 is a schematic structural diagram of a terminal device according to an embodiment of the present disclosure;
图9为本申请实施例公开的另一种终端设备的结构示意图;FIG. 9 is a schematic structural diagram of another terminal device according to an embodiment of the present disclosure;
图10为本申请实施例公开的一种网络设备的结构示意图;FIG. 10 is a schematic structural diagram of a network device according to an embodiment of the present disclosure;
图11为本申请实施例公开的另一种网络设备的结构示意图;FIG. 11 is a schematic structural diagram of another network device according to an embodiment of the present disclosure;
图12为本申请实施例公开的一种通信系统的结构示意图。FIG. 12 is a schematic structural diagram of a communication system according to an embodiment of the present application.
具体实施方式Detailed ways
本申请实施例提供了一种基于序列的信号处理方法及通信设备,通过确定满足PUSCH发送信号所使用的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。The embodiment of the present application provides a sequence-based signal processing method and a communication device. By determining a sequence used to satisfy a PUSCH transmission signal, the sequence frequency domain flatness can be maintained while transmitting signals using the PUSCH while maintaining a low level. The PAPR value and the lower inter-sequence cross-correlation, thereby satisfying the communication application environment for transmitting signals using the PUSCH. In particular, the NR system or NR-like scene is satisfied.
本申请实施例和权利要求书及附图中的描述中,除非另有说明,“多个”是指两个或多于两个。另外,为了便于清楚描述本申请实施例的技术方案,在本申请的实施例中,采用了“第一”、“第二”等字样对功能和作用基本相同的相同项或相似项进行区分。本领域技术人员可以理解“第一”、“第二”等字样并不对数量和执行次序进行限定,并且“第一”、“第二”等字样也并不限定一定不同。此外,本申请实施例和权利要求书及附图中的术语“包括”和“具有”不是排他的。例如,包括了一系列步骤或模块的过程、方法、系统、产品或设备没有限定于已列出的步骤或模块,还可以包括没有列出的步骤或模块。In the description of the embodiments and claims of the present application and the accompanying drawings, "a plurality" means two or more than two unless otherwise indicated. In addition, in order to facilitate the clear description of the technical solutions of the embodiments of the present application, in the embodiments of the present application, the words "first", "second", and the like are used to distinguish the same items or similar items whose functions and functions are substantially the same. Those skilled in the art can understand that the words "first", "second" and the like do not limit the number and execution order, and the words "first", "second" and the like are not necessarily limited. Moreover, the terms "including" and "comprising" are used in the embodiments and the claims and the claims. For example, a process, method, system, product, or device that comprises a series of steps or modules is not limited to the listed steps or modules, and may include steps or modules not listed.
在通信系统中,通常使用参考信号求取信道估计矩阵,从而解调数据信息。目前,在LTE系统,4G系统、4.5G系统,5G系统,以及NR系统或NR类似场景中,支持在上行DFT-s-OFDM DMRS波形使用π/2BPSK调制时,该上行DMRS可以使用基于Gold序列的序列,还可以使用CGS。但是,在上行DFT-s-OFDM DMRS波形使用π/2BPSK调制方式,并使用滤波器时,若上行DMRS使用基于Gold序列的序列或者CGS时,若不能进行 合适的筛选,会导致序列的频率平坦度较差,从而不利于进行信道估计。当前,拟在NR中支持DFT-s-OFDM DMRS波形使用ZC序列。In a communication system, a channel estimation matrix is typically obtained using a reference signal to demodulate data information. Currently, in LTE systems, 4G systems, 4.5G systems, 5G systems, and NR systems or NR-like scenarios, when using π/2BPSK modulation for uplink DFT-s-OFDM DMRS waveforms, the uplink DMRS can use a Gold-based sequence. The sequence can also use CGS. However, when the upstream DFT-s-OFDM DMRS waveform uses the π/2BPSK modulation method and a filter is used, if the uplink DMRS uses a sequence based on the Gold sequence or CGS, if the appropriate filtering is not performed, the frequency of the sequence will be flat. The degree is poor, which is not conducive to channel estimation. Currently, it is intended to support DFT-s-OFDM DMRS waveforms in NR using ZC sequences.
ZC序列是满足CAZAC序列性质的序列,其数学上的定义如下,当ZC序列长度N为偶数时:
Figure PCTCN2018116011-appb-000015
当ZC序列长度N为奇数时:
Figure PCTCN2018116011-appb-000016
ZC序列的周期是其序列的长度,且满足中心对称的性质。除此之外,ZC序列有着良好的自相关性和互相关性,其自相关系数在起始点为N,其它点均为零,而不同根间的互相关系数近似为
Figure PCTCN2018116011-appb-000017
但是,在上行DFT-s-OFDM DMRS波形使用π/2 BPSK调制方式时,使用ZC序列会导致DMRS的PAPR比传输数据的PAPR高,导致导频信号带外杂散发射和带内信号损失,影响信道估计性能,或者导致上行覆盖受限。
The ZC sequence is a sequence that satisfies the nature of the CAZAC sequence, and its mathematical definition is as follows: When the length N of the ZC sequence is even:
Figure PCTCN2018116011-appb-000015
When the length N of the ZC sequence is an odd number:
Figure PCTCN2018116011-appb-000016
The period of the ZC sequence is the length of its sequence and satisfies the properties of central symmetry. In addition, the ZC sequence has good autocorrelation and cross-correlation. Its autocorrelation coefficient is N at the starting point, and other points are zero, and the correlation coefficient between different roots is approximated.
Figure PCTCN2018116011-appb-000017
However, when the uplink DFT-s-OFDM DMRS waveform uses the π/2 BPSK modulation scheme, the use of the ZC sequence causes the PAPR of the DMRS to be higher than the PAPR of the transmitted data, resulting in out-of-band spurious emissions and in-band signal loss of the pilot signal. Affects channel estimation performance or results in limited uplink coverage.
为了确保LTE系统、4G系统、4.5G系统,5G系统,以及NR系统或NR类似场景中,甚至其他具有更高要求的通信系统或通信应用环境中,使用于PDSCH的DMRS所使用的序列,在PDSCH发送信号能够保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,本发明实施例提供了一种基于序列的信号处理的具体实现过程,通过以下实施例进行详细说明。In order to ensure an LTE system, a 4G system, a 4.5G system, a 5G system, and an NR system or an NR-like scenario, or even other communication systems or communication application environments with higher requirements, the sequence used by the DMRS for the PDSCH is The PDSCH transmission signal can maintain a good sequence frequency domain flatness while maintaining a low PAPR value and a low inter-sequence cross-correlation. The embodiment of the present invention provides a specific implementation process of sequence-based signal processing. The following examples are described in detail.
在本发明实施例中,主要从通信系统或通信应用环境中的接收侧和发送侧对基于序列的信号处理进行描述。其中,接收侧可以是网络设备,发送侧可以是终端设备;或者接收侧可以是终端设备,发送侧可以是网络侧。下面的实施例中以接收侧为网络设备、发送侧为终端设备为例进行描述,但本发明不限于此。In an embodiment of the invention, sequence-based signal processing is primarily described from the receiving side and the transmitting side in a communication system or communication application environment. The receiving side may be a network device, and the sending side may be a terminal device; or the receiving side may be a terminal device, and the sending side may be a network side. In the following embodiments, the description is made by taking the receiving side as the network device and the transmitting side as the terminal device as an example, but the present invention is not limited thereto.
在本申请实施例中涉及到的终端设备可以为用户设备。用户设备可以为有线设备,也可以为无线设备。其中,无线设备可以为具有无线连接功能的手持式设备、或连接到无线调制解调器的其他处理设备,经无线接入网与一个或多个核心网进行通信的移动终端。例如,无线终端可以为移动电话、手机、计算机、平板电脑、个人数码助理(personal digital assistant,PDA)、移动互联网设备(mobile internet device,MID)、可穿戴设备和电子书阅读器等。又如,无线终端也可以是便携式、袖珍式、手持式、计算机内置的或者车载的移动设备。再如,无线终端可以为移动站或接入点。The terminal device involved in the embodiment of the present application may be a user equipment. The user equipment can be a wired device or a wireless device. The wireless device may be a handheld device having a wireless connection function, or another processing device connected to the wireless modem, and a mobile terminal that communicates with one or more core networks via the wireless access network. For example, the wireless terminal can be a mobile phone, a mobile phone, a computer, a tablet, a personal digital assistant (PDA), a mobile internet device (MID), a wearable device, an e-book reader, and the like. As another example, the wireless terminal can also be a portable, pocket, handheld, computer built-in or in-vehicle mobile device. As another example, the wireless terminal can be a mobile station or an access point.
在本申请实施例中涉及到的网络设备可以为基站。基站可以包括各种形式的宏基站,微基站,中继站,接入点基站控制器,发送和接收点等等。在采用不同的无线接入技术的系统中,基站的具体名称可能会有所不同。The network device involved in the embodiment of the present application may be a base station. The base station may include various forms of macro base stations, micro base stations, relay stations, access point base station controllers, transmission and reception points, and the like. In systems using different radio access technologies, the specific name of the base station may vary.
如图1所示,为本申请实施例公开的一种基于序列的信号处理方法的流程示意图,包括:As shown in FIG. 1 , a schematic flowchart of a sequence-based signal processing method disclosed in an embodiment of the present application includes:
S101,终端设备确定包括N个元素的序列{x n}。 S101. The terminal device determines a sequence {x n } including N elements.
S101的执行,可选的,可以是终端设备在入网后,确定包括N个元素的序列{x n}。也可以是,网络设备在终端设备接入网络时,由网络设备确定序列{b n}并配置给终端设备,由终端设备基于该序列{b n}确定包含N个元素的序列{x n}。N为大于1的正整数。 Execution of S101, optionally, the terminal device determines a sequence {x n } including N elements after accessing the network. Alternatively, when the terminal device accesses the network, the network device determines the sequence {b n } and configures it to the terminal device, and the terminal device determines the sequence containing the N elements {x n } based on the sequence {b n }. . N is a positive integer greater than one.
在具体实现中,x n为序列{x n}中的元素,b n为序列{b n}中的元素。确定的序列{x n}为满足预设条件的序列。该预设条件为:x n=A·b n·j nIn a specific implementation, x n is an element in the sequence {x n }, and b n is an element in the sequence {b n }. The determined sequence {x n } is a sequence that satisfies a preset condition. The preset condition is: x n = A · b n · j n .
其中,n为整数,n的取值为0至N-1,N为大于1的正整数。A为非零复数。
Figure PCTCN2018116011-appb-000018
元素b n=u·(1-2·s n),u为非零复数。
Where n is an integer, n is 0 to N-1, and N is a positive integer greater than 1. A is a non-zero complex number.
Figure PCTCN2018116011-appb-000018
The element b n =u·(1-2·s n ), u is a non-zero complex number.
需要说明的是,在计算的过程中,可选的,u的取值并非固定不变的。在具体实现中,u的取值针对当前选取的同一个序列中的所有元素是相同的。u的取值针对不同序列中的元素可以不同。It should be noted that, in the process of calculation, optionally, the value of u is not fixed. In a specific implementation, the value of u is the same for all elements in the same sequence currently selected. The value of u can be different for elements in different sequences.
其中,由元素s n组成的序列{s n}为第一序列集合中的序列之一或第一序列集合中的序列的等价序列之一。 Wherein, the sequence consisting of the elements s n {s n} is equivalent to one of a first sequence of one sequence, or set of sequences the first sequence of the sequence set.
在一种可能的实施例中,当N=18时,也可以基于上述预设条件进行计算,并执行相应的操作。In a possible embodiment, when N=18, the calculation may also be performed based on the above preset conditions, and the corresponding operation is performed.
在另一种可能的实施例中,当N=18时,该预设条件也可以为:x n=y (n+Μ)mod Ν,其中,Μ∈{0,1,2,...,Ν-1},y n=A·b n·j n,n为整数,n的取值为0至N-1,N为大于1的正整数。A为非零复数。
Figure PCTCN2018116011-appb-000019
元素b n=u·(1-2·s n),u为非零复数,(n+Μ)mod Ν为y的下角标。
In another possible embodiment, when N=18, the preset condition may also be: x n = y (n + Μ) mod Ν , where Μ∈ {0, 1, 2,... , Ν-1}, y n = A·b n · j n , n is an integer, n is 0 to N-1, and N is a positive integer greater than 1. A is a non-zero complex number.
Figure PCTCN2018116011-appb-000019
The element b n =u·(1-2·s n ), u is a non-zero complex number, and (n+Μ) mod Ν is the lower corner of y.
需要说明的是,在计算的过程中,可选的,u的取值并非固定不变的。在具体实现中,u的取值针对当前选取的同一个序列中的所有元素是相同的。u的取值针对不同序列中的元素可以不同。It should be noted that, in the process of calculation, optionally, the value of u is not fixed. In a specific implementation, the value of u is the same for all elements in the same sequence currently selected. The value of u can be different for elements in different sequences.
其中,由元素s n组成的序列{s n}为第三序列集合中的序列之一。 Wherein, the sequence consisting of the elements s n {s n} is the third one of the sequences in the sequence set.
另一方面,在另一可能的实施例中,当N=12时,和/或,当N=18时,和/或,当N=24时,所述预设条件还可以为:
Figure PCTCN2018116011-appb-000020
其中,Μ∈{0,1,2,...,Ν-1},y n=A·b n·j n mod 2,n的取值为0至N-1,A为非零复数,
Figure PCTCN2018116011-appb-000021
元素b n=u·(1-2·s n),u为非零复数,(n+Μ)mod Ν为y的下角标。
On the other hand, in another possible embodiment, when N=12, and/or, when N=18, and/or, when N=24, the preset condition may also be:
Figure PCTCN2018116011-appb-000020
Where Μ∈{0,1,2,...,Ν-1}, y n =A·b n ·j n mod 2 , the value of n is 0 to N-1, and A is a non-zero complex number.
Figure PCTCN2018116011-appb-000021
The element b n =u·(1-2·s n ), u is a non-zero complex number, and (n+Μ) mod Ν is the lower corner of y.
其中,由元素s n组成的序列{s n}的集合至少包括第五序列集合中的序列之一。 Wherein the set sequence {s n} s n of elemental composition comprises at least one of the sequences of the fifth set of sequences.
需要说明的是,在计算的过程中,可选的,u的取值并非固定不变的。在具体实现中,u的取值针对当前选取的同一个序列中的所有元素是相同的。u的取值针对不同序列中的元素可以不同。It should be noted that, in the process of calculation, optionally, the value of u is not fixed. In a specific implementation, the value of u is the same for all elements in the same sequence currently selected. The value of u can be different for elements in different sequences.
其中,由元素s n组成的序列{s n}为第三序列集合中的序列之一。 Wherein, the sequence consisting of the elements s n {s n} is the third one of the sequences in the sequence set.
一种可能的示例中,当第一序列集合中的序列长度为12,即N=12时,第一序列集合中的序列集合1中的部分或全部,该序列集合1中的序列包括下述61个序列,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.05dB。滤波系数为[0.16,1,0.16]时,PAPR小于2.52dB。滤波系数为[0.22,1,0.22]时,PAPR小于1.95dB。滤波系数为[0.28,1,0.28]时,PAPR小于1.50dB。同时满足{x n}所对应的频域序列的第一种最大归一化功率小于4dB,第一种最小归一化功率大于-4dB,即所对应的序列{x n}的频域平坦度比较好: In a possible example, when the sequence length in the first sequence set is 12, that is, N=12, part or all of the sequence set 1 in the first sequence set, the sequence in the sequence set 1 includes the following There are 61 sequences, and the corresponding sequence {x n } of these sequences and their equivalent sequences after π/2BPSK modulation satisfies the use of time domain filtering. When the filter coefficient is [0.1, 1, 0.1], the PAPR is less than 3.05 dB. When the filter coefficient is [0.16, 1, 0.16], the PAPR is less than 2.52 dB. When the filter coefficient is [0.22, 1, 0.22], the PAPR is less than 1.95 dB. When the filter coefficient is [0.28, 1, 0.28], the PAPR is less than 1.50 dB. The first maximum normalized power that satisfies the frequency domain sequence corresponding to {x n } is less than 4 dB, and the first minimum normalized power is greater than -4 dB, that is, the frequency domain flatness of the corresponding sequence {x n } Better:
{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0 };{1,0,0,0,0,0,0,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0 };{1,0,0,0,0,0,1,0,1,0,0,0};
{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1 };{1,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1 };{1,0,0,0,0,1,0,1,1,1,0,1};
{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1 };{1,0,0,0,0,1,1,0,1,1,1,0};
{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1 };{1,0,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0 };{1,0,0,1,0,0,0,1,0,0,1,1};
{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0 };{1,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1 };{1,0,0,1,0,1,0,1,1,1,1,1};
{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1 };{1,0,0,1,0,1,1,1,1,0,0,0};
{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1 };{1,0,0,1,1,0,0,0,0,0,1,0};
{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0 };{1,0,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0 };{1,0,0,1,1,1,0,1,0,1,1,1};
{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0 };{1,0,0,1,1,1,1,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1 };{1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0 };{1,1,0,0,0,1,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1 };{1,1,0,0,0,1,0,1,1,1,1,1};
{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1 };{1,1,0,1,0,0,0,0,1,0,0,0};
{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1 };{1,1,0,1,0,0,1,1,1,0,1,1};
{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0 };{1,1,0,1,0,1,1,1,0,1,1,1};
{1,1,0,1,0,1,1,1,1,1,0,1};{1,1,0,1,0,1,1,1,1,1,0,1};
和,如下8个序列,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.50dB:同时满足{x n}所对应的频域序列的第一种最大归一化功率小于4dB,第一种最小归一化功率大于-4dB,即所对应的序列{x n}的频域平坦度比较好: And, the following eight sequences, the corresponding sequence {x n } of these sequences and their equivalent sequences after π/2BPSK modulation satisfies the use of time domain filtering, and the PAPR is less than 1.50 dB when the filter coefficient is [0.28, 1, 0.28]: The first maximum normalized power that satisfies the frequency domain sequence corresponding to {x n } is less than 4 dB, and the first minimum normalized power is greater than -4 dB, that is, the frequency domain flatness of the corresponding sequence {x n } Better:
{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0 };{1,0,0,0,0,1,0,1,1,1,0,0};
{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1 };{1,0,0,1,1,1,1,0,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1}。{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1 }.
一种可能的示例中,当第一序列集合中的序列长度为24,即N=24时,该第一序列集合中的序列包括序列集合2中的部分或全部,该序列集合2包括下述194个序列,这些序列和其等价序列经π/2 BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.17dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.58dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.94dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{x n}的频域平坦度比较好: In a possible example, when the sequence length in the first sequence set is 24, that is, N=24, the sequence in the first sequence set includes part or all of the sequence set 2, and the sequence set 2 includes the following 194 sequences, the corresponding sequence {x n } after π/2 BPSK modulation of these sequences and their equivalent sequences satisfy the use of time domain filtering. When the filter coefficient is [0.1, 1, 0.1], the PAPR is less than 3.17dB, and the filter coefficient When [0.16,1,0.16], the PAPR is less than 2.58dB, the PAPR is less than 1.94dB when the filter coefficient is [0.22,1,0.22], and the PAPR is less than 1.39dB when the filter coefficient is [0.28,1,0.28]. The first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1.5 dB, and the first minimum normalized power is greater than -1.5 dB, that is, the frequency domain of the corresponding sequence {x n } is flat. Better?
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0};
{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};
{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};
{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};
{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1};
{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};
{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};
{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0};
{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};
{1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};{1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0};
{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};
{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};
{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};
{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};
{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};
{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};
{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};
{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};{1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};
{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1};
{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1};
{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};
{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
{1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0};
{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};
{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};
{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};
{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};
{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0};
{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};
{1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0};
{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};
{1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0};{1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0};
{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0};
{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};
{1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1};{1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1};
{1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0};
{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0};{1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0};
{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};
{1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1};
{1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};
{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};
{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};
{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};
{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};
{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};
{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};
{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};
{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};
{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};
{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};
{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};
{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0};
{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};
{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};
{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};
{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};
{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};
{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};
{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};
{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
{1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1};{1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1};
{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};
{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};
{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};
{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};
{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};{1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};
{1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0};{1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0};
{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};
{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};
和,如下述100个序列,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{x n}的频域平坦度比较好: And, as shown in the following 100 sequences, the corresponding sequence {x n } of these sequences and their equivalent sequences after π/2BPSK modulation satisfies the use of time domain filtering, and the PAPR is less than 1.39 dB when the filter coefficient is [0.28, 1, 0.28] The first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1.5 dB, and the first minimum normalized power is greater than -1.5 dB, that is, the frequency of the corresponding sequence {x n } The domain flatness is better:
{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};
{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};
{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};
{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};
{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};
{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0};
{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};
{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};
{1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0};
{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};
{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};
{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};
{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};
{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};
{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
{1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1};{1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1};
{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1};
{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};
{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0};
{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};
{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};
{1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0};
{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};
{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0};
{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1};
{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};
{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};
{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};
{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};
{1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0};
{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};
{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};
{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};
{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0};
{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};
{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0};
{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};
{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};
{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};
{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};
{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};
{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};
{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};
{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};
{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};
{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};
{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};
{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};
{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};
{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};
{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};
{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};
{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};
{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};
{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};
{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};
{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};
{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};
{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};
{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};
{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};
{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};
{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0}。{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0}.
一种可能的示例中,当第一序列集合中的序列长度为36,即N=36时,该第一序列集合中的序列包括序列集合3中的部分或全部,该序列集合3中的包括下述144个序列,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.19dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.59dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.95dB,滤波系数为[0.28,1,0.28]时,PAPR小 于1.40dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{x n}的频域平坦度比较好: In a possible example, when the sequence length in the first sequence set is 36, that is, N=36, the sequence in the first sequence set includes part or all of the sequence set 3, and the sequence set 3 includes The following 144 sequences, the corresponding sequence {x n } after π/2BPSK modulation of these sequences and their equivalent sequences satisfy the use of time domain filtering, and the PAPR is less than 3.19 dB when the filter coefficient is [0.1, 1, 0.1], filtering When the coefficient is [0.16,1,0.16], the PAPR is less than 2.59dB, the PAPR is less than 1.95dB when the filter coefficient is [0.22,1,0.22], and the PAPR is less than 1.40dB when the filter coefficient is [0.28,1,0.28]. The first maximum normalized power that satisfies the frequency domain sequence corresponding to {x n } is less than 1 dB, and the first minimum normalized power is greater than -1 dB, that is, the frequency domain flatness of the corresponding sequence {x n } Better:
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1 ,0,1,0,1,1,0,0,1,1,0,1};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0 ,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0 ,0,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0 ,0,1,1,0,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0 ,1,0,1,1,0,0,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0 ,0,1,0,1,1,0,0,1,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1 ,1,0,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0 ,1,0,1,0,1,1,1,0,0,1,1};
{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0 ,0,0,1,1,0,0,1,0,1,0,1};
{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1 ,0,0,1,0,1,1,1,1,0,0,1};
{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0 ,1,0,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0 ,1,1,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0 ,0,1,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0 ,0,1,1,1,1,1,0,1,0,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1 ,1,0,0,0,0,1,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1 ,0,0,0,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,1,0,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,0,0,1,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1 ,1,1,0,1,1,0,0,0,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1 ,1,1,0,0,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1 ,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1 ,1,1,0,0,1,1,1,1,1,0,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,0,0,1,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1 ,1,0,0,1,1,1,0,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1 ,0,0,1,0,0,0,1,1,0,0,1};
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{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,0,0,1,0,0};
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{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0};{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0 ,0,0,0,0,0,1,0,0,1,1,0};
{0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0 ,1,0,0,1,1,0,0,0,0,0,0};
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{0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1 ,1,0,0,0,0,1,0,1,1,0,0};
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{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0};{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0 ,1,1,0,0,1,0,0,0,0,0,0};
{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0};{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1 ,0,0,1,0,0,1,0,0,0,0,0};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0};{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1 ,0,1,0,1,1,1,0,1,1,1,0};
{0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0};{0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0 ,1,1,1,0,0,0,1,0,0,1,0};
{0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0};{0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0 ,1,1,1,0,0,1,1,1,1,0,0};
{0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};{0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,1,1,0,1,0};
和,下述95个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时 满足{x n}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{x n}的频域平坦度比较好: And when, in a portion 95 or all of the following sequences, these sequences and equivalent sequence thereof by π / 2BPSK modulated corresponding sequence {x n} using time-domain filtering satisfied, filter coefficients are [0.28,1,0.28] The PAPR is less than 1.40 dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1 dB, and the first minimum normalized power is greater than -1 dB, that is, the corresponding sequence {x n } The frequency domain flatness is better:
{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1};{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1 ,0,1,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1};{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1 ,1,0,0,0,1,0,1,1,0,0,1};
{0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1};{0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1 ,1,0,0,1,0,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,1};{0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0 ,0,1,1,0,1,0,1,0,1,1,1};
{0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1};{0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0 ,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1};{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1 ,0,0,1,1,0,1,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1 ,0,1,1,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1};{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1 ,0,1,1,0,1,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1};{0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1 ,1,0,1,0,1,1,0,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1};{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1 ,0,0,1,0,1,0,1,0,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0 ,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1};{0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1 ,1,0,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1 ,1,1,0,1,0,1,1,0,0,0,1};
{0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1};{0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1 ,1,0,0,0,1,1,0,1,0,0,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0 ,1,0,0,0,1,1,1,0,1,0,1};
{0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,1};{0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0 ,1,1,0,0,0,1,0,1,0,1,1};
{0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1};{0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1 ,0,1,1,1,0,1,0,0,0,1,1};
{0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1};{0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0 ,1,0,1,1,0,0,0,1,0,0,1};
{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1 ,1,0,1,1,1,0,0,0,1,1,1};
{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1};{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1 ,0,0,1,1,0,1,0,0,1,0,1};
{0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,1,1};{0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0 ,1,0,1,0,1,1,0,1,1,1,1};
{0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1};{0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1 ,0,1,0,1,1,0,1,1,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0 ,1,1,0,1,1,0,1,1,1,0,1};
{0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1};{0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0 ,0,0,0,1,0,0,1,0,0,1,1};
{0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,1};{0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1 ,0,1,0,1,0,1,1,1,0,1,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,0,1,1,1,1};
{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1 ,1,1,0,1,0,1,1,1,1,0,1};
{0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1};{0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1 ,1,0,0,0,1,1,1,1,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1};{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1 ,0,1,1,1,0,1,1,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1};{0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,0,0,1 ,0,1,0,1,1,1,0,0,1,1,1};
{0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1};{0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1 ,0,1,0,1,0,0,1,1,0,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1 ,1,0,0,0,1,0,0,1,0,0,1};
{0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1};{0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,1,1,1 ,1,0,0,1,1,1,0,0,1,0,1};
{0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1};{0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0 ,0,1,1,0,1,1,0,0,0,0,1};
{0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1};{0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0 ,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1 ,0,1,1,0,1,1,1,0,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1};{0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, ,0,1,1,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1};{0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1 ,1,1,0,0,0,1,0,0,1,0,1};
{0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1};{0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1 ,0,0,0,0,1,0,0,0,1,1,1};
{0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1 ,1,0,0,1,0,0,1,0,0,0,1};
{0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,1};{0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0 ,0,1,0,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1};{0,0,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1 ,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,1};{0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1 ,1,0,1,0,1,0,1,1,0,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,1};{0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1 ,1,0,1,1,1,1,0,1,1,1,1};
{0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1};{0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1 ,1,0,1,1,0,0,0,0,1,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0 ,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1};{0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,1 ,1,1,1,0,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1};{0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,1,1 ,0,1,1,0,0,1,1,1,1,1,1};
{0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,1};{0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1 ,1,0,1,1,0,1,0,0,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0 ,1,1,1,0,1,0,0,0,1,1,1};
{0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1};{0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0 ,1,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1};{0,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1 ,0,1,1,0,1,1,1,1,1,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1 ,1,0,1,1,1,0,1,1,1,1,1};
{0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1};{0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0 ,0,0,1,1,1,0,0,0,1,0,1};
{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1};{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1 ,0,1,1,0,1,1,1,0,0,0,1};
{0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1};{0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, ,0,1,0,0,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1};{0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, ,0,0,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1};{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1 ,1,0,1,1,1,0,0,1,0,1,1};
{0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 ,1,1,0,1,1,1,1,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1};{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1 ,0,0,0,1,0,1,0,1,0,0,1};
{0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1 ,0,1,0,1,0,0,1,1,0,0,1};
{0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0 ,0,1,0,1,1,0,1,0,0,0,1};
{0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ,0,1,1,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1};{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1 ,1,1,0,1,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0 ,1,1,1,0,0,0,1,1,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1 ,1,1,1,1,1,0,0,0,1,1,1};
{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,0,0,1,1,1,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1 ,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1};{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1 ,0,0,1,0,0,1,0,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1};{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1 ,1,0,1,0,1,1,1,1,0,0,1};
{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1};{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1 ,1,1,1,1,0,0,1,1,1,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1};{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1 ,0,1,0,0,1,0,0,1,0,0,1};
{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1};{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1 ,1,0,1,0,1,1,0,1,1,0,1};
{0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1 ,1,0,1,1,0,0,0,1,1,0,1};
{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1};{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1 ,1,1,0,1,1,1,0,0,1,0,1};
{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1};{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0 ,1,1,0,1,1,1,1,1,1,1,1};
{0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1 ,0,0,0,1,0,1,1,1,0,0,1};
{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1};{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,1,1,1,1,1,1};
{0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1};{0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, ,1,0,1,1,0,0,1,0,1,1,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1 ,1,1,1,0,1,0,0,1,0,0,1};
{0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1};{0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, ,0,1,0,1,0,0,1,0,0,1,1};
{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0};{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1 ,1,0,1,1,1,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1 ,1,1,1,0,0,1,1,1,0,1,0};
{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0};{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,1,0,1,0};
{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0};{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1 ,0,0,0,0,0,1,0,1,1,0,0};
{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1 ,0,1,0,1,1,0,0,1,0,0,0};
{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0};{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1 ,0,0,0,0,0,1,1,1,0,0,0};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1 ,0,0,1,0,0,1,0,1,1,1,0};
{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0};{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0 ,1,0,0,0,1,1,1,1,1,0,0};
{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0};{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0 ,1,1,0,0,0,0,0,0,0,1,0};
{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0};{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1 ,0,0,1,0,0,1,1,1,1,0,0};
{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0};{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1 ,1,1,0,1,1,1,1,0,1,1,0};
{0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0};{0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1 ,1,1,1,1,1,0,0,1,1,0,0};
{0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0};{0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0 ,0,1,1,1,0,1,0,1,1,0,0};
{0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0}。{0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 , 0,1,1,1,0,0,0,0,1,0,0}.
一种可能的示例中,当第一序列集合中的序列长度为120,即N=120时,第一序列集合中的序列包括:截取经由两个预设的127长m序列模2加生成一个127Glod序列中的120个元素得到的序列中的部分或全部;In a possible example, when the sequence length in the first sequence set is 120, that is, N=120, the sequence in the first sequence set includes: intercepting and generating one through two preset 127-length m sequence modulo 2 addition Part or all of the sequence obtained by 120 elements in the 127Glod sequence;
其中,两个预设的127长m序列的生成多项式包括:{x 7+x 3+1和x 7+x+1},当第一个m序列的初始状态为{1,1,1,1,1,1,1},第二个m序列的初始状态包括: The generator polynomial of the two preset 127-length m sequences includes: {x 7 + x 3 +1 and x 7 + x+1}, when the initial state of the first m-sequence is {1, 1, 1, 1,1,1,1}, the initial state of the second m sequence includes:
{1,0,0,1,0,0,1};{1,0,0,1,0,1,0};{0,0,1,0,0,1,1};{1,0,0,1,1,1,1};{1,1,0,0,1,0,0};{1,1,1,0,1,1,1};{0,1,0,0,0,0,0};{1,0,1,0,1,0,0};{0,1,1,0,0,1,0};{1,1,0,1,0,0,0};{1,0,1,0,0,0,0};{0,0,0,1,0,0,1};{1,0,0,0,1,0,0};{0,0,0,0,0,0,1};{1,1,0,0,0,1,1};{1,0,0,1,0,0,0};{0,1,1,1,1,1,1};{0,1,0,0,1,0,0};{0,0,1,0,1,0,1};{1,1,0,0,1,1,1};{0,0,1,0,1,1,1};{1,0,1,1,0,0,1};{1,0,0,0,1,0,1};{0,0,0,1,0,0,0};{1,1,0,1,0,1,1};{0,1,1,1,0,1,1};{1,0,0,1,1,0,0};{1,1,1,0,0,0,1};{0,0,0,1,0,1,0};{1,1,1,0,0,0,0};或者,{1,0,0,1,0,0,1};{1,0,0,1,0,1,0}; {0,0,1,0,0,1,1};{1 ,0,0,1,1,1,1};{1,1,0,0,1,0,0};{1,1,1,0,1,1,1};{0,1 ,0,0,0,0,0};{1,0,1,0,1,0,0}; {0,1,1,0,0,1,0};{1,1,0 ,1,0,0,0};{1,0,1,0,0,0,0}; {0,0,0,1,0,0,1};{1,0,0,0 ,1,0,0};{0,0,0,0,0,0,1};{1,1,0,0,0,1,1};{1,0,0,1,0 ,0,0};{0,1,1,1,1,1,1}; {0,1,0,0,1,0,0}; {0,0,1,0,1,0 ,1};{1,1,0,0,1,1,1}; {0,0,1,0,1,1,1};{1,0,1,1,0,0,1 };{1,0,0,0,1,0,1}; {0,0,0,1,0,0,0}; {1,1,0,1,0,1,1}; {1,0,0,1,1,0,0}; {1,1,1,0,0,0,1}; ,0,0,1,0,1,0};{1,1,1,0,0,0,0}; or,
两个预设的127长m序列的生成多项式包括:{x 7+x 3+1和x 7+x 6+1},当第一个m序列的初始状态为{1,1,1,1,1,1,1},第二个m序列的初始状态包括: The generator polynomials of the two preset 127-length m sequences include: {x 7 +x 3 +1 and x 7 +x 6 +1}, when the initial state of the first m-sequence is {1,1,1,1 , 1,1,1}, the initial state of the second m sequence includes:
{1,0,0,1,0,0,1};{0,0,1,1,1,1,0};{0,0,0,1,1,1,0};{0,1,1,0,0,1,0};{1,1,0,1,1,1,1}; {1,1,0,0,1,0,1};{1,0,0,1,1,0,1};{0,0,0,0,1,0,0};{1,0,1,0,1,1,0};{1,0,1,1,0,0,1};{1,1,0,0,0,0,0};{1,0,1,0,0,0,0};{0,0,0,0,0,0,1};{1,0,0,1,1,0,0};{1,1,1,0,0,1,0};{0,1,1,1,0,1,0};{0,0,1,1,0,1,1};{1,1,1,1,0,0,0};{0,0,1,1,0,0,0};{1,1,1,1,0,0,1};{0,0,0,1,0,1,0};{0,1,0,0,1,1,1};{1,1,1,1,1,0,0};{1,1,1,0,0,0,0};{0,0,1,1,1,0,0};{1,0,1,1,1,1,0};{0,0,1,1,1,1,1};{1,1,0,0,1,1,1};{1,1,0,1,0,0,0};{0,0,0,0,0,1,0};或者,{1,0,0,1,0,0,1}; {0,0,1,1,1,1,0}; {0,0,0,1,1,1,0};{0 ,1,1,0,0,1,0};{1,1,0,1,1,1,1}; {1,1,0,0,1,0,1};{1,0 ,0,1,1,0,1};{0,0,0,0,1,0,0};{1,0,1,0,1,1,0};{1,0,1 ,1,0,0,1};{1,1,0,0,0,0,0};{1,0,1,0,0,0,0};{0,0,0,0 ,0,0,1};{1,0,0,1,1,0,0};{1,1,1,0,0,1,0}; {0,1,1,1,0 ,1,0};{0,0,1,1,0,1,1};{1,1,1,1,0,0,0}; {0,0,1,1,0,0 ,0};{1,1,1,1,0,0,1}; {0,0,0,1,0,1,0}; {0,1,0,0,1,1,1 };{1,1,1,1,1,0,0}; {1,1,1,0,0,0,0}; {0,0,1,1,1,0,0}; {1,0,1,1,1,1,0}; {0,0,1,1,1,1,1};{1,1,0,0,1,1,1};{1 ,1,0,1,0,0,0};{0,0,0,0,0,1,0}; or,
两个预设的127长m序列的生成多项式包括:{x 7+x+1和x 7+x 4+1},当第一个m序列的初始状态为{1,1,1,1,1,1,1},第二个m序列的初始状态包括: The generator polynomials of the two preset 127-length m sequences include: {x 7 +x+1 and x 7 +x 4 +1}, when the initial state of the first m-sequence is {1, 1, 1, 1, 1,1,1}, the initial state of the second m sequence includes:
{0,0,0,1,0,1,0};{1,1,0,0,0,0,0};{0,1,0,1,0,1,0};{1,1,0,0,1,0,0};{1,0,1,1,0,1,0};{0,0,1,1,0,1,0};{1,1,1,1,0,0,0};{1,0,1,0,0,0,0};{0,1,0,0,0,1,1};{1,0,0,1,0,0,0};{0,0,0,1,1,0,1};{1,1,0,0,0,0,1};{0,0,1,1,1,1,0};{0,0,1,1,1,0,0};{0,1,1,0,0,1,0};{0,1,0,1,0,1,1};{0,1,1,1,0,0,0};{0,1,0,1,1,1,1};{1,0,1,0,1,1,0};{1,0,0,1,1,1,0};{1,1,1,1,0,1,0};{0,0,1,1,0,0,0};{1,1,1,1,1,0,1};{1,0,0,0,0,0,0};{0,0,1,1,1,1,1};{1,0,1,1,0,1,1};{0,1,1,1,1,0,0};{1,1,0,1,1,0,0};{0,1,1,0,1,0,1};{0,1,0,1,1,1,0};或者,{0,0,0,1,0,1,0}; {1,1,0,0,0,0,0}; {0,1,0,1,0,1,0};{1 ,1,0,0,1,0,0};{1,0,1,1,0,1,0}; {0,0,1,1,0,1,0};{1,1 ,1,1,0,0,0};{1,0,1,0,0,0,0}; {0,1,0,0,0,1,1};{1,0,0 ,1,0,0,0};{0,0,0,1,1,0,1};{1,1,0,0,0,0,1};{0,0,1,1 ,1,1,0};{0,0,1,1,1,0,0}; {0,1,1,0,0,1,0}; {0,1,0,1,0 ,1,1};{0,1,1,1,0,0,0}; {0,1,0,1,1,1,1};{1,0,1,0,1,1 ,0};{1,0,0,1,1,1,0};{1,1,1,1,0,1,0};{0,0,1,1,0,0,0 };{1,1,1,1,1,0,1};{1,0,0,0,0,0,0}; {0,0,1,1,1,1,1}; {1,0,1,1,0,1,1}; {0,1,1,1,1,0,0};{1,1,0,1,1,0,0};{0 ,1,1,0,1,0,1}; {0,1,0,1,1,1,0}; or,
两个预设的127长m序列的生成多项式包括:{x 7+x 6+1和x 7+x 4+1},当第一个m序列的初始状态为{1,1,1,1,1,1,1},第二个m序列的初始状态包括: The generator polynomials of the two preset 127-length m sequences include: {x 7 + x 6 +1 and x 7 + x 4 +1}, when the initial state of the first m-sequence is {1, 1, 1, 1 , 1,1,1}, the initial state of the second m sequence includes:
{1,0,0,1,0,1,1};{0,0,1,1,1,1,1};{0,0,1,0,1,1,1};{1,1,1,0,0,1,1};{1,0,1,1,1,1,0};{0,1,1,0,0,1,0};{1,1,0,0,0,1,1};{1,1,1,0,0,1,0};{0,1,1,0,1,0,1};{1,1,0,1,1,1,1};{1,0,0,1,0,0,0};{1,1,0,1,0,0,1};{1,1,0,1,1,0,0};{0,0,0,1,1,0,1};{1,1,0,0,0,0,0};{0,1,1,1,1,1,1};{0,1,1,1,1,1,0};{0,1,1,1,1,0,1};{1,1,0,1,0,1,0};{0,1,0,0,1,0,1};{0,0,0,1,0,1,0};{1,1,0,1,0,0,0};{0,0,0,0,1,1,0};{1,0,1,1,0,0,0};{0,1,0,0,1,1,0};{1,1,1,0,0,0,0};{0,0,0,0,1,0,0};{0,0,0,1,1,0,0};{0,1,0,1,0,1,0};{1,0,0,0,0,1,1}。{1,0,0,1,0,1,1}; {0,0,1,1,1,1,1}; {0,0,1,0,1,1,1};{1 ,1,1,0,0,1,1};{1,0,1,1,1,1,0}; {0,1,1,0,0,1,0};{1,1 ,0,0,0,1,1};{1,1,1,0,0,1,0}; {0,1,1,0,1,0,1};{1,1,0 ,1,1,1,1};{1,0,0,1,0,0,0};{1,1,0,1,0,0,1};{1,1,0,1 ,1,0,0};{0,0,0,1,1,0,1};{1,1,0,0,0,0,0}; {0,1,1,1,1 ,1,1};{0,1,1,1,1,1,0}; {0,1,1,1,1,0,1};{1,1,0,1,0,1 ,0};{0,1,0,0,1,0,1}; {0,0,0,1,0,1,0};{1,1,0,1,0,0,0 };{0,0,0,0,1,1,0}; {1,0,1,1,0,0,0}; {0,1,0,0,1,1,0}; {1,1,1,0,0,0,0}; {0,0,0,0,1,0,0}; {0,0,0,1,1,0,0};{0 , 1,0,1,0,1,0}; {1,0,0,0,0,1,1}.
上述所有m序列的生成多项式为本原多项式中项数较少的多项式。The generator polynomial of all the above m sequences is a polynomial with a small number of terms in the original polynomial.
一种可能的示例中,当第三序列集合中的序列长度为18,即N=18时,第三序列集合中的序列集合14中的部分或全部,该序列集合14中的序列包括下述108个序列,这些序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于2.89dB。滤波系数为[0.16,1,0.16]时,PAPR小于2.35dB。滤波系数为[0.22,1,0.22]时,PAPR小于1.76dB。滤波系数为[0.28,1,0.28]时,PAPR小于1.27dB。同时满足{x n}所对应的频域序列的第二种最大归一化功率小于0.5dB,第二种最小归一化功率大于-0.5dB,即所对应的序列{x n}的频域平坦度比较好: In a possible example, when the sequence length in the third sequence set is 18, that is, N=18, part or all of the sequence set 14 in the third sequence set, the sequence in the sequence set 14 includes the following 108 sequences. The corresponding sequence {x n } after π/2BPSK modulation satisfies the use of time domain filtering. When the filter coefficient is [0.1, 1, 0.1], the PAPR is less than 2.89 dB. When the filter coefficient is [0.16, 1, 0.16], the PAPR is less than 2.35 dB. When the filter coefficient is [0.22, 1, 0.22], the PAPR is less than 1.76 dB. When the filter coefficient is [0.28, 1, 0.28], the PAPR is less than 1.27 dB. The second maximum normalized power that satisfies the frequency domain sequence corresponding to {x n } is less than 0.5 dB, and the second minimum normalized power is greater than -0.5 dB, that is, the frequency domain of the corresponding sequence {x n } Flatness is better:
{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0 ,1,1,0,0,0,0,0,0,0,1,0,1};
{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0};{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0 ,0,0,1,0,0,0,1,1,0,1,0,0};
{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0};{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1 ,0,1,1,1,0,0,1,1,1,1,0,0};
{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1 ,1,0,1,0,1,0,0,0,1,0,0,0};
{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1 ,0,0,0,0,0,1,0,0,0,1,1,1};
{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1};{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0 ,0,0,0,0,0,1,0,1,0,0,1,1};
{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1 ,1,0,1,0,0,0,0,1,0,0,1,0};
{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0 , 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1};
{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1};{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0 ,0,0,1,0,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0 ,1,0,0,1,0,1,0,0,0,1,1,0};
{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1};{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1 ,0,1,0,1,1,0,0,0,1,1,1,1};
{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0 ,1,1,1,1,0,1,1,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1 ,0,1,0,0,0,0,0,1,0,1,1,0};
{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0};{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1 ,1,1,1,1,0,0,0,1,1,0,1,0};
{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1};{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0 ,0,0,0,1,0,1,0,0,0,0,1,1};
{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1};{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0 ,0,1,1,1,1,1,0,1,0,1,1,1};
{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1};{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0 ,1,0,0,0,1,1,1,0,1,1,1,1};
{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0};{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1 ,0,1,0,0,0,1,1,1,1,0,1,0};
{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1 ,1,1,0,1,1,1,1,1,0,1,1,0};
{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0};{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0 ,0,0,1,0,1,1,0,1,0,1,1,0};
{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0 ,1,0,0,1,1,1,1,1,0,1,1,0};
{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0};{1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0};{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0}; {1,1,0,1,0,1 , 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0};
{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0};{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0 ,0,1,0,0,1,0,0,1,0,1,0,0};
{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0};{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0 ,1,0,1,1,0,0,0,1,1,1,0,0};
{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0 ,0,0,0,0,1,1,1,1,0,1,0,1};
{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0};{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0 ,0,1,0,1,1,1,1,1,1,0,0,0};
{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1};{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0 ,0,1,0,0,0,1,0,1,0,1,1,1};
{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1 ,1,1,1,1,0,1,0,0,1,1,0,1};
{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1};{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0 ,1,0,1,1,1,1,0,0,1,1,0,1};
{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1 ,1,0,0,1,1,0,0,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0};{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0 ,0,0,1,1,1,0,0,0,1,1,0,0};
{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1 ,0,1,1,1,1,0,0,1,0,0,0,0};
{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0};{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0 ,0,1,0,1,0,1,1,1,1,1,1,0};
{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1};{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1 ,1,0,1,0,0,0,0,0,1,0,0,1};
{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0 ,1,0,1,1,1,0,1,0,1,1,1,0};
{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1};{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1 ,1,1,1,0,1,1,0,1,0,1,1,1};
{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0 ,0,0,1,1,0,1,0,1,1,1,1,1};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0 , 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0};
{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1};{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0 ,1,0,0,1,0,0,0,0,1,0,0,1};
{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1};{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0 ,0,1,1,1,1,1,0,0,0,1,0,1};
{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1};{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1 ,0,0,1,0,1,0,0,0,1,0,1,1};
{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1 ,0,1,1,0,1,0,1,1,1,1,1,0};
{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0};{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1 ,0,1,1,1,1,0,0,0,0,1,1,0};
{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0 ,1,0,0,1,0,0,0,1,1,1,1,0};
{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0};{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1 ,0,1,1,1,0,0,0,0,1,0,1,0};
{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0};{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0 ,0,1,1,0,1,0,1,1,0,1,0,0};
{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1 ,0,0,1,0,1,0,0,0,0,1,1,1};
{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1 ,0,1,0,0,1,1,1,1,0,1,1,1};
{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1};{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1 ,1,1,0,0,1,0,0,0,0,0,0,1};
{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0};{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1 ,0,1,0,1,1,0,0,0,0,1,0,0};
{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0};{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0 ,1,0,1,0,0,0,1,0,0,1,0,0};
{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0};{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1 ,1,1,1,0,1,0,1,0,1,1,1,0};
{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0 ,1,0,0,1,0,1,1,0,0,0,0,0};
{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0}。{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1 , 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0}.
一种可能的示例中,当第五序列集合中的序列长度为12,即N=12时,第五序列集合中的序列集合15中的部分或全部,该序列集合15中的序列包括下述30个序列,这些序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.50dB。同时满足{x n}所对应的频域序列的第一种最大归一化功率小于4dB,第一种最小归一化功率大于-4dB,且互相关性小于0.85,即所对应的序列{x n}的频域平坦度比较好: In a possible example, when the sequence length in the fifth sequence set is 12, that is, N=12, part or all of the sequence set 15 in the fifth sequence set, the sequence in the sequence set 15 includes the following 30 sequences, the corresponding sequence {x n } after π/2BPSK modulation satisfies the use of time domain filtering. When the filter coefficient is [0.28, 1, 0.28], the PAPR is less than 1.50 dB. At the same time, the first maximum normalized power of the frequency domain sequence corresponding to {x n } is less than 4 dB, the first minimum normalized power is greater than -4 dB, and the cross-correlation is less than 0.85, that is, the corresponding sequence {x n } has better frequency domain flatness:
{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0};{1,0,1,0,1,1,0,1,1,0,1,0};{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0 };{1,0,1,0,1,1,0,1,1,0,1,0};
{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0};{1,0,1,1,0,0,1,0,1,0,0,1};{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0 };{1,0,1,1,0,0,1,0,1,0,0,1};
{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0};{1,0,1,1,0,1,0,1,1,0,1,1};{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0 };{1,0,1,1,0,1,0,1,1,0,1,1};
{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1};{1,0,1,0,1,1,0,0,1,0,0,1};{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1 };{1,0,1,0,1,1,0,0,1,0,0,1};
{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1};{1,0,1,1,0,1,0,1,1,1,0,1};{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1 };{1,0,1,1,0,1,0,1,1,1,0,1};
{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0};{1,0,1,0,1,1,0,1,1,0,1,1};{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0 };{1,0,1,0,1,1,0,1,1,0,1,1};
{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,1,0,1,1,0,0,0};{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0 };{1,0,1,1,0,1,0,1,1,0,0,0};
{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0};{1,0,1,1,0,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0 };{1,0,1,1,0,1,0,1,0,0,0,1};
{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1};{1,0,1,1,0,0,1,1,1,0,0,0};{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1 };{1,0,1,1,0,0,1,1,1,0,0,0};
{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1};{1,0,1,1,0,1,1,1,1,0,0,1}。{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1 };{1,0,1,1,0,1,1,1,1,0,0,1}.
一种可能的示例中,当第五序列集合中的序列长度为18,即N=18时,第五序列集合中的序列集合16中的部分或全部,该序列集合16中的序列包括下述30个序列,这些序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于2.89dB。滤波系数为[0.16,1,0.16]时,PAPR小于2.35dB。滤波系数为[0.22,1,0.22]时,PAPR小于1.76dB。滤波系数为[0.28,1,0.28]时,PAPR小于1.27dB。同时满足{x n}所对应的频域序列的第二种最大归一化功率小于0.5dB,第二种最小归一化功率大于-0.5dB,且互相关系数小于0.672,即所对应的序列{x n}的频域平坦度比较好: In a possible example, when the sequence length in the fifth sequence set is 18, that is, N=18, part or all of the sequence set 16 in the fifth sequence set, the sequence in the sequence set 16 includes the following 30 sequences, which are π/2BPSK modulated and the corresponding sequence {x n } satisfies the use of time domain filtering. When the filter coefficient is [0.1, 1, 0.1], the PAPR is less than 2.89 dB. When the filter coefficient is [0.16, 1, 0.16], the PAPR is less than 2.35 dB. When the filter coefficient is [0.22, 1, 0.22], the PAPR is less than 1.76 dB. When the filter coefficient is [0.28, 1, 0.28], the PAPR is less than 1.27 dB. The second maximum normalized power that satisfies the frequency domain sequence corresponding to {x n } is less than 0.5 dB, the second minimum normalized power is greater than -0.5 dB, and the cross-correlation coefficient is less than 0.672, that is, the corresponding sequence The frequency domain flatness of {x n } is better:
{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1};{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0 ,0,0,0,0,1,1,0,0,1,0,0,1};
{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0};{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1 ,1,0,1,0,0,1,1,1,0,1,0,0};
{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0 ,0,1,1,1,1,1,0,0,0,0,1,1};
{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1 ,0,1,1,0,1,1,0,1,1,1,1,0};
{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0};{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1 ,1,0,0,1,1,1,1,1,0,1,0,0};
{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0};{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0 ,0,1,1,0,1,1,1,1,0,1,1,0};
{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0};{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1 ,0,0,1,0,1,0,1,0,0,1,0,0};
{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0};{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0 ,0,0,0,0,0,1,0,0,1,1,1,0};
{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1};{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0 ,1,0,1,0,0,0,1,1,0,1,0,1};
{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0};{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0 ,1,0,0,1,0,0,1,0,0,1,0,0};
{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0};{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1 ,1,0,1,1,0,1,0,1,1,1,0,0};
{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0};{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1 ,0,1,1,0,0,0,1,0,0,1,0,0};
{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1};{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1 ,0,0,1,1,1,0,0,1,0,1,0,1};
{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1 ,0,1,1,0,1,1,0,1,1,1,0,0};
{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0}。{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1 , 0,0,1,0,0,0,0,1,1,0,0,0}.
一种可能的示例中,当第五序列集合中的序列长度为24,即N=24时,第五序列集合中的序列集合17中的部分或全部,该序列集合17中的序列包括下述30个序列,这些序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,且互相关系数小于0.6,即所对应的序列{x n}的频域平坦度比较好: In a possible example, when the sequence length in the fifth sequence set is 24, that is, N=24, part or all of the sequence set 17 in the fifth sequence set, the sequence in the sequence set 17 includes the following 30 sequences. The corresponding sequence {x n } after π/2BPSK modulation satisfies the use of time domain filtering. When the filter coefficient is [0.28, 1, 0.28], the PAPR is less than 1.39dB, and the corresponding {x n } is satisfied. The first maximum normalized power of the frequency domain sequence is less than 1.5 dB, the first minimum normalized power is greater than -1.5 dB, and the cross-correlation coefficient is less than 0.6, that is, the frequency domain of the corresponding sequence {x n } is flat. Better?
{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};
{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};
{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};
{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};
{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};
{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};
{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};
{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};
{1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1};{1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1};
{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};
{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};
{1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0};{1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0};
{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};
{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};
{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};
{1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1};{1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1};
{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};
{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};
{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};
{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};
{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};
{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};
{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};
{1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0};{1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0};
{1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1};{1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1};
{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};
{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1};{1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1};
{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};
{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}。{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}.
一种可能的示例中,终端设备在入网后,确定包含N个元素的序列{x n}的过程可以 如图2所示。具体流程为: In a possible example, after the terminal device enters the network, the process of determining the sequence {x n } containing N elements may be as shown in FIG. 2 . The specific process is:
终端设备确定序列{b n}和A。n的取值为0到N-1。A为非零复数。序列{b n}可以是该终端设备存储的,也可以是由网络设备配置给该终端设备的,也可以是该终端设备根据预定义的公式计算得到的。 The terminal device determines the sequence {b n } and A. The value of n is 0 to N-1. A is a non-zero complex number. The sequence {b n } may be stored by the terminal device, or may be configured by the network device to the terminal device, or may be calculated by the terminal device according to a predefined formula.
S102:生成第一信号并发送给网络设备。S102: Generate a first signal and send the signal to the network device.
可选的,生成第一信号的过程,如图3所示,在具体实现中为:首先,终端设备对序列{x n}中的N个元素进行离散傅里叶变换(discrete fourier transform,DFT)处理,得到序列{f n}。这里主要指终端设备使用配置的序列{x n}中的N个元素进行DFT处理,得到频域序列,这里的频域序列指序列{f n}。然后,终端设备将序列{f n}映射至N个子载波上,生成第一信号并发送给网络设备。 Optionally, the process of generating the first signal is as shown in FIG. 3. In the specific implementation, the terminal device performs a discrete Fourier transform (DFT) on the N elements in the sequence {x n }. Processing to get the sequence {f n }. Here, the terminal device mainly performs DFT processing using N elements in the configured sequence {x n } to obtain a frequency domain sequence, where the frequency domain sequence refers to the sequence {f n }. Then, the terminal device maps the sequence {f n } to the N subcarriers, generates a first signal and transmits it to the network device.
可选的,终端设备对包含N个元素的序列{x n}进行DFT处理得到频域序列,然后,将频域序列分别映射至N个子载波上,生成第一信号并发送给网络设备的具体过程,如图3所示,包括: Optionally, the terminal device performs DFT processing on the sequence {x n } of the N elements to obtain a frequency domain sequence, and then maps the frequency domain sequence to the N subcarriers respectively, generates a first signal, and sends the first signal to the network device. The process, as shown in Figure 3, includes:
S301,终端设备对包含N个元素的序列{x n}进行DFT处理,得到序列{f n}。 S301. The terminal device performs DFT processing on the sequence {x n } including N elements to obtain a sequence {f n }.
S301的执行,可选的,如图4a所示,终端设备对序列{x n}进行DFT处理得到序列{f n}的过程中,可以不使用滤波器。可选的,如图4b所示,终端设备对序列{x n}进行DFT处理得到序列{f n}的过程中,可以在使用滤波器之后,再进行DFT处理得到序列{f n}。可选的,如图4c所示,终端设备对序列{x n}进行DFT处理得到序列{f n}的过程中,可以在进行DFT处理之后,再使用滤波器得到序列{f n}。 Execution of S301, optionally, as shown in FIG. 4a, in the process of performing DFT processing on the sequence {x n } by the terminal device to obtain the sequence {f n }, no filter may be used. Optionally, as shown in FIG. 4b, in the process that the terminal device performs DFT processing on the sequence {x n } to obtain the sequence {f n }, the DFT process may be performed after the filter is used to obtain the sequence {f n }. Optionally, as shown in FIG. 4c, in the process of performing DFT processing on the sequence {x n } to obtain the sequence {f n }, the terminal may perform the DFT processing, and then use the filter to obtain the sequence {f n }.
S302,终端设备将该序列{f n}分别映射至N个子载波上,得到N点的频域信号。 S302. The terminal device maps the sequence {f n } to the N subcarriers respectively to obtain a frequency domain signal of the N point.
在具体实现中,N点的频域信号即包含N个元素的频域信号。In a specific implementation, the frequency domain signal of the N point is a frequency domain signal containing N elements.
在下述本申请实施例公开的图5a和图5b中,s表示序列{f n}映射的N个子载波中的第一个子载波在通信系统中的子载波中的索引。 In Figures 5a and 5b disclosed below in the embodiments of the present application, s denotes an index of the first subcarrier of the N subcarriers mapped by the sequence {f n } in the subcarriers in the communication system.
可选的,终端设备将序列{f n}中的N个元素分别映射至连续的N个子载波上。如图5a所示,可选的,序列{f n}中的元素f 0到f N-1分别映射到N个连续的子载波,子载波标号为s+0,s+1,…,s+N-1。 Optionally, the terminal device maps the N elements in the sequence {f n } to consecutive N subcarriers. As shown in FIG. 5a, optionally, the elements f 0 to f N-1 in the sequence {f n } are respectively mapped to N consecutive subcarriers, and the subcarrier labels are s+0, s+1, ..., s. +N-1.
在一种可能的示例中,终端设备将序列{f n}中的N个元素按照子载波从高到低的顺序,依次映射到N个子载波上。其中,一个序列{f n}中元素映射到一个频域子载波。频域子载波是频域资源的最小单元,其用于承载数据信息。 In one possible example, the terminal device sequentially maps N elements in the sequence {f n } to N subcarriers in descending order of subcarriers. Among them, an element in a sequence {f n } is mapped to one frequency domain subcarrier. The frequency domain subcarrier is the smallest unit of frequency domain resources used to carry data information.
在一种可能的示例中,终端设备将序列{f n}中的N个元素按照子载波从低到高的顺序,依次映射到N个子载波上。将序列{f n}中一个元素映射到一个子载波就是在这个子载波上承载这个元素。映射之后,在该终端设备将数据通过射频发送时,相当于在这个子载波上发送这个元素。在通信系统中,不同的终端设备可以占用不同的子载波发送数据。N个子载波在通信系统中所存在的多个子载波中的位置可以是预定义或者网络设备通过信令配置的。 In one possible example, the terminal device sequentially maps N elements in the sequence {f n } to N subcarriers in descending order of subcarriers. Mapping an element of the sequence {f n } to a subcarrier is to carry this element on this subcarrier. After the mapping, when the terminal device transmits data through the radio frequency, it is equivalent to transmitting the element on the subcarrier. In a communication system, different terminal devices can occupy different subcarriers to transmit data. The location of the plurality of subcarriers in which the N subcarriers exist in the communication system may be predefined or the network device is configured by signaling.
可选地,也可以将序列{f n}中的N个元素分别映射至等间隔的的N个子载波上。如图5b所示,可选的,N个子载波之间的间隔为1,N个子载波在频域上是等间隔分布的。 序列{f n}中的元素f 0到f N-1映射的子载波的间隔为1个子载波。具体为:分别映射到N个等间隔的子载波,子载波编号为s+0,s+2,…,s+2(N-1) Alternatively, the N elements in the sequence {f n } may also be mapped to the equally spaced N subcarriers, respectively. As shown in FIG. 5b, optionally, the interval between the N subcarriers is 1, and the N subcarriers are equally spaced in the frequency domain. The interval of the subcarriers mapped by the elements f 0 to f N-1 in the sequence {f n } is 1 subcarrier. Specifically, it is mapped to N equally spaced subcarriers, and the subcarrier numbers are s+0, s+2, ..., s+2(N-1)
本申请实施例对于将序列{f n}中的N个元素分别映射至N个子载波上的方式,并不仅限于以上方式。 The manner in which the N elements in the sequence {f n } are respectively mapped to N subcarriers in the embodiment of the present application is not limited to the above manner.
S303,终端设备对包含N个元素的频域信号进行快速傅立叶反变换(inverse fast Fourier transformation,IFFT),得到对应的时域信号,并为该时域信号添加循环前缀,生成第一信号。S303. The terminal device performs inverse fast Fourier transformation (IFFT) on the frequency domain signal including the N elements to obtain a corresponding time domain signal, and adds a cyclic prefix to the time domain signal to generate a first signal.
S304,终端设备通过射频发送该第一信号。S304. The terminal device sends the first signal by using a radio frequency.
可选的,在执行S303时,终端设备将生成的N点的频域信号通过IFFT后得到的时域信号是一个正交频分复用(orthogonal frequency division multiplexing,OFDM)符号。在执行S303时,终端设备将第一信号通过射频发出去。也就是说,该终端设备在该N个子载波上发送承载序列{f n}的第一信号。 Optionally, when performing S303, the time domain signal obtained by the terminal device passing the generated frequency domain signal of the N point through the IFFT is an orthogonal frequency division multiplexing (OFDM) symbol. When S303 is executed, the terminal device sends the first signal through the radio frequency. That is, the terminal device transmits the first signal carrying the sequence {f n } on the N subcarriers.
在一个可能的示例中,该终端设备可以在一个OFDM符号上发送承载序列{f n}的第一信号。也可以在在多个OFDM符号上发送承载序列{f n}的第一信号。 In one possible example, the terminal device can transmit the first signal carrying the sequence {f n } on one OFDM symbol. The first signal carrying the sequence {f n } may also be transmitted on multiple OFDM symbols.
需要说明的是,在本申请实施例中,针对生成第一信号的方式并不仅限于上述终端设备对包含N个元素的序列{x n}进行DFT处理得到频域序列,然后,将频域序列分别映射至N个子载波上,生成第一信号并发送给网络设备的实现方式。 It should be noted that, in the embodiment of the present application, the manner for generating the first signal is not limited to the foregoing terminal device performing DFT processing on the sequence {x n } including N elements to obtain a frequency domain sequence, and then, the frequency domain sequence is performed. Mapping to N subcarriers respectively, generating a first signal and transmitting the implementation to the network device.
可选的,该可以对所述序列{x n}使用成型滤波器得到序列{y n},然后,将序列{y n}调制到载波上,生成第一信号并发送给网络设备。 Optionally, the sequence {y n } can be used to obtain the sequence {y n } for the sequence {x n }, and then the sequence {y n } is modulated onto the carrier to generate a first signal and send it to the network device.
可选的,该第一信号为参考信号。具体的,该第一信号可以为UCI、DMRS、SRS以及PTRS。还可以为确认应答(acknowledgment,ACK)信息,或否定确认应答(negative acknowledgment,NACK)信息,或者上行调度请求(scheduling request,SR)信息。本申请实施例对于该第一信号并不仅限于包括上述信息。Optionally, the first signal is a reference signal. Specifically, the first signal may be UCI, DMRS, SRS, and PTRS. It can also be an acknowledgement (ACK) information, or a negative acknowledgement (NACK) message, or an uplink scheduling request (SR) information. The embodiment of the present application is not limited to including the above information for the first signal.
可选的,该第一信号为用于承载通信信息的信号。在具体实现中,该通信信息的承载方式可以是通过序列选择的方式承载,也可以是通过序列调制的方式承载,但不限于此。Optionally, the first signal is a signal for carrying communication information. In a specific implementation, the carrying manner of the communication information may be carried by means of sequence selection, or may be carried by means of sequence modulation, but is not limited thereto.
可选的,序列选择的方式为:为一个终端设备分配2 n个正交的序列。这2 n个正交的序列,可选的,可以为1个根序列的2 n个循环移位,这2 n个正交的序列能够承载n比特信息。例如,标号为0、1、2和3的4个序列。其中,00对应序列0,01对应序列1,10对应序列{2},11对应序列3,这样4个序列能够承载2比特信息。 Optionally, the sequence is selected by assigning 2 n orthogonal sequences to one terminal device. This 2 n orthogonal sequences, alternative, may be a 2 n cycles shifted root sequence, which 2 n orthogonal sequences capable of carrying n-bit information. For example, the four sequences labeled 0, 1, 2, and 3. Wherein, 00 corresponds to sequence 0, 01 corresponds to sequence 1, 10 corresponds to sequence {2}, and 11 corresponds to sequence 3, such that four sequences can carry 2-bit information.
可选的,序列调制的方式为:为一个用户分配1个序列,并且将该用户所需传输的信息生成调制符号。该调制符号包括但不限于BPSK符号,QPSK符号,8QAM符号,16QAM符号等。将该调制符号与该序列相乘,生成实际的发送序列。例如,一个BPSK符合可能为1或者-1,对于一个序列{x n}而言,基于BPSK符号进行调制后,发送的序列就可以为{x n}或{-x n}。 Optionally, the sequence modulation is performed by assigning one sequence to a user and generating modulation symbols for the information that the user needs to transmit. The modulation symbols include, but are not limited to, BPSK symbols, QPSK symbols, 8QAM symbols, 16QAM symbols, and the like. The modulation symbol is multiplied by the sequence to generate an actual transmission sequence. For example, a BPSK match may be 1 or -1. For a sequence {x n }, after modulation based on BPSK symbols, the transmitted sequence may be {x n } or {-x n }.
在一种可能的示例中,如图2对应说明书中的记载,终端设备在入网后,可以通过A和序列{b n}确定网络设备配置的包含N个元素的序列{x n}。 In one possible example, the corresponding 2 described in FIG specification, the terminal device in the network, by the sequence {x n} comprising N elements A sequence {b n}, and determining the network device configuration.
需要说明的是,对于序列调制的方式,是通过序列{x n}中不同的A的取值,承载不同信息的。 It should be noted that, for the manner of sequence modulation, different values of A in the sequence {x n } are used to carry different information.
可选的,A可以为调制符号。此时,一路数据信息比特或者控制信息比特经过调制后,得到A。A承载在序列{x n}所包含的N个元素上,A不随着n的变化而改变。 Optionally, A can be a modulation symbol. At this time, one channel of data information bits or control information bits is modulated to obtain A. A is carried on the N elements contained in the sequence {x n }, and A does not change with the change of n.
可选的,A为常数。例如A=1。例如,A可以是终端设备和网络设备都已知的符号。A也可以表示是幅度。Optionally, A is a constant. For example, A=1. For example, A can be a symbol known to both terminal devices and network devices. A can also be expressed as amplitude.
需要说明的是,A是在一个发射时间单元上是常数不代表A是固定不变的,在不同的时刻发送第一信号时,A可以是变的。例如,序列{x n}中包含的全部N个元素是参考信号,A是参考信号的幅度,终端设备在第一次发送第一信号时,可以按A=1发送。终端设备在第二次发送第一信号时,可以按A=2发送。 It should be noted that A is a constant in one transmission time unit does not mean that A is fixed. When the first signal is transmitted at different times, A may be changed. For example, all N elements included in the sequence {x n } are reference signals, A is the amplitude of the reference signal, and the terminal device can transmit at A=1 when transmitting the first signal for the first time. When the terminal device sends the first signal for the second time, it can send by A=2.
S103:网络设备接收承载在N个子载波上的第一信号,获取序列{x n}中的N个元素。 S103: The network device receives the first signal carried on the N subcarriers, and acquires N elements in the sequence {x n }.
S103的执行,该网络设备按照预定义或者基站配置的N个子载波在通信系统的子载波中的位置接收N个子载波上的信号。In S103, the network device receives signals on the N subcarriers according to a predefined or base station configured N subcarriers in a position in a subcarrier of the communication system.
可选的,网络设备在连续的N个子载波上获取N个子载波上的第一信号,或者,在等间隔的N个子载波上获取所述N个子载波上的第一信号。Optionally, the network device acquires the first signal on the N subcarriers on consecutive N subcarriers, or acquires the first signal on the N subcarriers on the N subcarriers that are equally spaced.
可选的,获取序列{x n}中的N个元素的方式为,网络设备获取序列{f n}中的N个元素,对该序列{f n}进行离散傅里叶反变换处理(inverse discrete fourier transformation,IDFT),得到序列{x n}中的N个元素。 Alternatively, obtaining a sequence {x n} in the manner of N elements of the network device obtains the sequence {f n} of N elements, performs inverse discrete Fourier transform processing (inverse of the sequence {f n} Discrete fourier transformation, IDFT), obtains N elements in the sequence {x n }.
由S102对应的说明书中记载可知,该第一信号由终端设备对序列{x n}中的N个元素进行DFT处理,得到序列{f n},然后,再将该序列{f n}映射至N个子载波上生成。该序列{x n}的具体说明可以参见上述S101和S102中相应的说明,这里不再进行赘述。 As can be seen from the description corresponding to S102, the first signal is DFT processed by the terminal device for the N elements in the sequence {x n } to obtain the sequence {f n }, and then the sequence {f n } is mapped to Generated on N subcarriers. For a detailed description of the sequence {x n }, refer to the corresponding descriptions in the above S101 and S102, and details are not described herein.
S103的执行,在一种可能的设计中,首先,网络设备在连续的N个子载波上获取N个子载波上的第一信号,或者,在等间隔的N个子载波上获取所述N个子载波上的第一信号。然后,去除第一信号的循环前缀,得到时域信号。然后对时域信号进行M点的DFT,得到包含N个元素的频域信号,该M大于等于N。然后,基于包含N个元素的频域信号,确定序列{f n}中的N个元素。 Execution of S103, in a possible design, first, the network device acquires the first signal on the N subcarriers on consecutive N subcarriers, or acquires the N subcarriers on the N subcarriers that are equally spaced The first signal. Then, the cyclic prefix of the first signal is removed to obtain a time domain signal. Then, the DFT of the M point is performed on the time domain signal to obtain a frequency domain signal containing N elements, which is greater than or equal to N. Then, N elements in the sequence {f n } are determined based on the frequency domain signals containing N elements.
在具体实现中,终端设备在入网后,使用配置的序列{x n}发送PUSCH,而网络设备使用配置给终端设备的序列{x n}接收PUSCH。 In a specific implementation, after the terminal device enters the network, the PUSCH is sent by using the configured sequence {x n }, and the network device receives the PUSCH by using the sequence {x n } configured to the terminal device.
S104:网络设备根据序列{x n}中的N个元素对第一信号进行处理。 S104: The network device processes the first signal according to the N elements in the sequence {x n }.
可选的,网络设备对第一信号的处理过程示意图,如图6所示,网络设备根据遍历本地存储的序列{x' n}得到所有可能的序列。将获取的序列{x n}与序列{x' n}所有可能的序列分别相关处理并进行最大似然比较,获取终端设备传输的数据。 Optionally, a schematic diagram of a processing procedure of the first signal by the network device, as shown in FIG. 6, the network device obtains all possible sequences according to traversing the locally stored sequence {x' n }. The acquired sequence {x n } is processed separately from all possible sequences of the sequence {x' n } and subjected to maximum likelihood comparison to obtain data transmitted by the terminal device.
结合上述S102对应说明书的说明,对于两比特信息的取值组合为{(0,0),(0,1),(1,0),(1,1)}。结合图2,当两比特信息为(0,0)时,得到的序列{x′ n}是序列{x′ 1,,n},当两比特信息为(0,1)时,得到的序列{x′ n}是序列{x′ 2,n},当两比特信息为(1,0)时,得到的序列{x′ n}是序列{x′ 3,n},当两比特信息为(1,1)时,得到的序列{x′ n}是序列{x′ 4,n}。所述4个序列{x′ 1,,n},{x′ 2,n},{x′ 3,n},{x′ 4,n}可以是同一个序列的循环移位序列,将序列{x n}与{x′ 1,,n}, {x′ 2,n},{x′ 3,n},{x′ 4,n}分别相关,得到4个相关值。在最大相关值对应的两比特信息的取值即为网络设备获取的数据。例如,最大相关值是序列{x n}与{x′ 1,,n}相关得到的,则两比特信息是(0,0)。 In combination with the description of the corresponding specification of S102 described above, the combination of values for the two-bit information is {(0, 0), (0, 1), (1, 0), (1, 1)}. Referring to FIG. 2, when the two-bit information is (0, 0), the obtained sequence {x' n } is the sequence {x' 1, n }, and when the two-bit information is (0, 1), the obtained sequence is obtained. {x' n } is the sequence {x' 2, n }. When the two-bit information is (1, 0), the obtained sequence {x' n } is the sequence {x' 3, n }, when the two-bit information is At (1, 1), the resulting sequence {x' n } is the sequence {x' 4, n }. The four sequences {x' 1, n }, {x' 2, n }, {x' 3, n }, {x' 4, n } may be cyclic shift sequences of the same sequence, the sequence {x n } is associated with {x' 1, n }, {x' 2, n }, {x' 3, n }, {x' 4, n } respectively, and four correlation values are obtained. The value of the two-bit information corresponding to the maximum correlation value is the data acquired by the network device. For example, the maximum correlation value is obtained by correlating the sequence {x n } with {x' 1, n }, and the two-bit information is (0, 0).
本申请实施例所公开的一种基于序列的信号处理方法,通过确定满足PUSCH发送信号所使用的序列,该序列为包括N个元素的序列{x n},x n为所述序列{x n}中的元素,确定的序列{x n}为满足预设条件的序列,然后,生成第一信号并发送。利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。 A sequence-based signal processing method disclosed in the embodiment of the present application, by determining a sequence used to satisfy a PUSCH transmission signal, the sequence is a sequence {x n } including N elements, and x n is the sequence {x n The element in }, the determined sequence {x n } is a sequence satisfying the preset condition, and then the first signal is generated and transmitted. By using the above determined sequence, it is possible to maintain good sequence frequency domain flatness when transmitting signals using PUSCH, while maintaining a low PAPR value and low inter-sequence cross-correlation, thereby satisfying a communication application environment for transmitting signals by using PUSCH. . In particular, the NR system or NR-like scene is satisfied.
更进一步的,基于上述本申请实施例公开的基于序列的信号处理方法,S101中确定的包括N个元素的序列{x n}所涉及的序列{s n},该由元素s n组成的序列{s n}构成的集合至少包括第二序列集合中的第一序列或所述第一序列的等价序列,以及第二序列集合中的第二序列或所述第二序列的等价序列。也就是说,该由元素s n组成的序列{s n}构成的集合至少包括第二序列集合中的序列和第二序列集合中的序列的等价序列之中的两个不等价的序列,即,该由元素s n组成的序列{s n}构成的集合至少包括第二序列集合中的两个序列,或者,该由元素s n组成的序列{s n}构成的集合至少包括第二序列集合中的一个序列,以及第二序列集合中的另一个序列的一个等价序列,或者,该由元素s n组成的序列{s n}构成的集合至少包括第二序列集合中的一个序列的一个等价序列,以及第二序列集合中的另一个序列的一个等价序列。这里,在第一序列集合中的序列和第二序列集合有部分重叠的情况下,第一序列和第二序列可以有一个是第一序列集合中的序列,也可以均不是第一序列集合中的序列。 The signal processing sequence of sequence-based methods, determined in S101 includes the sequence of N elements of the sequence {x n} involved {s n}, the composition of the elements s n further, embodiments of the present disclosure based on the above embodiment of the application The set formed by {s n } includes at least a first sequence in the second sequence set or an equivalent sequence of the first sequence, and a second sequence in the second sequence set or an equivalent sequence of the second sequence. That is, the sequence of the elements s n {s n} consisting of a collection of at least two non-equivalent comprises a sequence equivalent sequence in the second set and second sequences in the sequence set , i.e., {n s} set constituted by the element s n of the sequence consisting of at least two sequences comprising a second set of sequences, or, the element s n of the sequence consisting of {s n} comprising at least a first set constituted a set of sequences of two sequence and a second sequence of the other equivalent sequence set, or a sequence consisting of the element s n {s n} consisting of a collection of sequences comprises at least a second set of An equivalent sequence of a sequence, and an equivalent sequence of another sequence in the second set of sequences. Here, in a case where the sequence in the first sequence set and the second sequence set partially overlap, the first sequence and the second sequence may have one sequence in the first sequence set, or may not be in the first sequence set. the sequence of.
在另一种可能的实施例中,当N=18时,S101中该由元素s n组成的序列{s n}构成的集合至少包括第四序列集合中的第一序列,以及第四序列集合中的第二序列。也就是说,该由元素s n组成的序列{s n}构成的集合至少包括第四序列集合中的两个序列。 In another possible embodiment, when N=18, the set of the sequence {s n } composed of the elements s n in S101 includes at least the first sequence in the fourth sequence set, and the fourth sequence set. The second sequence in . That is, {s n} the set constituted by the element s n sequence consisting of at least two sequences comprising a fourth set of sequences.
需要说明的是,第二序列集合中序列个数为至少2个,也可以包含2个以上的序列。It should be noted that the number of sequences in the second sequence set is at least two, and two or more sequences may be included.
当N=12时,所述第二序列集合为序列集合4或序列集合5;和/或,当N=24时,所述第二序列集合为序列集合6或序列集合7或序列集合8或序列集合9;和/或,当N=36时,所述第二序列集合为序列集合10或序列集合11或序列集合12或序列集合13。When N=12, the second sequence set is sequence set 4 or sequence set 5; and/or, when N=24, the second sequence set is sequence set 6 or sequence set 7 or sequence set 8 or Sequence set 9; and/or, when N=36, the second sequence set is sequence set 10 or sequence set 11 or sequence set 12 or sequence set 13.
该序列集合4包括如下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.05dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.52dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.95dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.50dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于4dB,第一种最小归一化功率大于-4dB,同时这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}间的互相关系数小于0.85: The sequence set 4 includes some or all of the following 30 sequences, and the corresponding sequence {x n } of these sequences and their equivalent sequences after π/2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.1, 1, 0.1 When the PAPR is less than 3.05dB, the PAPR is less than 2.52dB when the filter coefficient is [0.16,1,0.16], and the PAPR is less than 1.95dB when the filter coefficient is [0.22,1,0.22], and the filter coefficient is [0.28,1. At 0.28], the PAPR is less than 1.50 dB, while the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 4 dB, and the first minimum normalized power is greater than -4 dB, and these sequences and The number of cross-correlations between the corresponding sequences {x n } after the equivalent sequence is π/2BPSK is less than 0.85:
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,1,1,1,0,1,0,1 };{1,0,0,0,0,1,1,0,1,1,1,0};
{1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,0,1,0,1,1,1,1,0,1 };{1,1,0,0,0,0,0,1,1,0,1,0};
{1,1,0,1,0,0,1,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,1,0,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,1,1 };{1,0,0,0,0,1,0,1,1,0,1,1};
{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,1,0,0,0,1,0,0,1,1};{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0 };{1,0,0,1,0,0,0,1,0,0,1,1};
{1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0 };{1,0,0,0,0,0,1,0,0,0,1,0};
{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0 };{1,0,0,1,1,1,1,0,1,0,1,1};
{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1 };{1,0,0,0,0,0,0,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1 };{1,0,0,0,0,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0 };{1,0,0,1,0,1,1,1,1,0,0,1};
{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1};{1,1,0,1,0,1,0,1,1,0,1,1}。{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1 };{1,1,0,1,0,1,0,1,1,0,1,1}.
该序列集合5包括如下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.50dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于4dB,第一种最小归一化功率大于-4dB,同时所述序列对应的序列{x n}间的互相关系数小于0.84: The sequence set 5 includes some or all of the following 30 sequences, and the corresponding sequence {x n } of the sequence and its equivalent sequence after π/2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.28, 1, 0.28]. When the PAPR is less than 1.50 dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 4 dB, the first minimum normalized power is greater than -4 dB, and the sequence corresponds to The number of cross-correlations between sequences {x n } is less than 0.84:
{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,1,1,1 };{1,0,0,0,0,1,0,0,0,1,0,1};
{1,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,0,0,1,0,1,1,1,0,0 };{1,0,0,1,1,1,1,1,0,1,0,1};
{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,0 };{1,1,0,0,0,0,0,1,1,0,1,0};
{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,1};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,1,0,1,1 };{1,0,0,1,0,0,0,1,0,0,1,1};
{1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0 };{1,0,0,0,0,0,1,0,0,0,1,0};
{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0 };{1,0,0,1,1,1,1,0,1,0,1,1};
{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1 };{1,0,0,0,0,0,0,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1 };{1,0,0,0,0,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0 };{1,0,0,1,0,1,1,1,1,0,0,1};
{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1};{1,1,0,1,0,1,0,1,1,0,1,1}。{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1 };{1,1,0,1,0,1,0,1,1,0,1,1}.
该序列集合6包括如下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.17dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.58dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.94dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{x n}的频域平坦度比较好,同时所述序列对应的序列{x n}间的互相关系数小于0.66: The sequence set 6 includes some or all of the following 30 sequences, and the corresponding sequence {x n } of the sequence and its equivalent sequence after π/2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.1, 1, 0.1 When the PAPR is less than 3.17dB, the PAPR is less than 2.58dB when the filter coefficient is [0.16,1,0.16], and the PAPR is less than 1.94dB when the filter coefficient is [0.22,1,0.22], and the filter coefficient is [0.28,1. At 0.28], the PAPR is less than 1.39 dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1.5 dB, and the first minimum normalized power is greater than -1.5 dB, that is, corresponding The frequency domain flatness of the sequence {x n } is better, and the number of correlations between the sequences {x n } corresponding to the sequence is less than 0.66:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0};
{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0}。{1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0}.
该序列集合7中的序列包括如下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{x n}的频域平坦度比较好,同时所述序列对应的序列{x n}间的互相关系数小于0.6: The sequence in the sequence set 7 includes some or all of the following 30 sequences, and the corresponding sequence {x n } of the sequence and its equivalent sequence after π/2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.28, 1,0.28], the PAPR is less than 1.39dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1.5dB, and the first minimum normalized power is greater than -1.5dB, ie The frequency domain flatness of the corresponding sequence {x n } is better, and the number of correlations between the sequences {x n } corresponding to the sequence is less than 0.6:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};
{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
{1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0};{1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1}。{1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1}.
该序列集合11中的序列包括如下62个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.17dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.58dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.94dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.39dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{x n}的频域平坦度比较好,同时所述序列对应的序列{x n}间的互相关系数小于0.69: The sequence in the sequence set 11 includes some or all of the following 62 sequences, and the corresponding sequence {x n } of the sequence and its equivalent sequence after π/2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.1, When 1,0.1], the PAPR is less than 3.17dB, the PAPR is less than 2.58dB when the filter coefficient is [0.16,1,0.16], and the PAPR is less than 1.94dB when the filter coefficient is [0.22,1,0.22], and the filter coefficient is [0.28]. , 1,0.28], the PAPR is less than 1.39dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1.5dB, and the first minimum normalized power is greater than -1.5dB. That is, the frequency domain flatness of the corresponding sequence {x n } is relatively good, and the number of correlations between the sequences {x n } corresponding to the sequence is less than 0.69:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};
{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};
{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1};
{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
{1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
{1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};{1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1};
{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};
{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
{1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0}。{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0}.
该序列集合9中的序列包括如下56个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.49dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1.5dB,第一种最小归一化功率大于-1.5dB,即所对应的序列{x n}的频域平坦度比较好,同时所述序列对应的序列{x n}间的互相关系数小于0.67: The sequence in the sequence set 9 includes some or all of the following 56 sequences, and the corresponding sequence {x n } of the sequence and its equivalent sequence after π/2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.28, At 1,0.28], the PAPR is less than 1.49 dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1.5 dB, and the first minimum normalized power is greater than -1.5 dB, that is, The frequency domain flatness of the corresponding sequence {x n } is better, and the number of correlations between the sequences {x n } corresponding to the sequence is less than 0.67:
{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
{1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
{1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0};
{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};
{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};
{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
{1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1};
{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
{1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
{1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
{1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};{1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1};
{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};
{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};{1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0};
{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
{1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1};
{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1}。{1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1}.
该序列集合10中的序列包括如下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.19dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.59dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.95dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{x n}的频域平坦度比较好,同时所述序列对应的序列{x n}间的互相关系数小于0.57: The sequence in the sequence set 10 includes some or all of the following 30 sequences, and the corresponding sequence {x n } of the sequence and its equivalent sequence after π/2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.1, When 1,0.1], the PAPR is less than 3.19dB, when the filter coefficient is [0.16,1,0.16], the PAPR is less than 2.59dB, and when the filter coefficient is [0.22,1,0.22], the PAPR is less than 1.95dB, and the filter coefficient is [0.28]. , 1,0.28], the PAPR is less than 1.40 dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1 dB, and the first minimum normalized power is greater than -1 dB, that is, The frequency domain flatness of the corresponding sequence {x n } is better, and the number of correlations between the sequences {x n } corresponding to the sequence is less than 0.57:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,0,0,1,1};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,0,1,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0 ,1,0,1,0,0,0,1,1,0,0,1};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0 ,1,1,1,0,0,0,0,0,1,0,0};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,0,0,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1 ,1,1,0,1,0,0,1,0,0,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1 ,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1 ,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1 ,1,1,1,1,0,1,0,1,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,0,0,1,1,0};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1 ,0,1,0,1,1,0,0,1,1,1,1};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ,0,1,0,1,1,1,0,0,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1 ,1,0,0,1,1,0,0,0,0,1,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1 ,1,0,0,1,1,1,0,0,1,0,0};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,1,0,0,0,1};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1 ,0,0,0,0,0,0,1,0,0,1,0};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,0,0,1,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1 ,1,0,0,1,0,1,0,1,0,0,0};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,1,0,0,0,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1 ,0,0,1,1,1,1,1,1,1,0,1};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,0,0,1,0,0};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1};{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1 ,1,0,1,1,0,1,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1}。{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0 , 0,1,0,1,1,0,0,1,1,1,1}.
该序列集合11中的序列包括以下30个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{x n}的频域平坦度比较好,同时所述序列对应的序列{x n}间的互相关系数小于0.557: The sequence in the sequence set 11 includes some or all of the following 30 sequences, and the corresponding sequence {x n } of the sequence and its equivalent sequence after π/2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.28, At 1,0.28], the PAPR is less than 1.40 dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1 dB, and the first minimum normalized power is greater than -1 dB, that is, corresponding The frequency domain flatness of the sequence {x n } is better, and the number of correlations between the sequences {x n } corresponding to the sequence is less than 0.557:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,0,0,1,1};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,0,0,0,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,1,0,0,0,0,0,1,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,0,1,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,1,0,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0 ,1,0,1,0,0,0,1,1,0,0,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1 ,1,1,1,0,1,0,0,1,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,0,1,1,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1 ,1,0,1,1,1,0,1,1,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,1,0,0,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0 ,1,0,0,1,0,0,0,1,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1 ,1,1,1,1,0,1,1,1,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1 ,0,0,0,1,0,1,0,1,1,0,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1 ,0,1,1,1,0,1,0,0,1,1,1};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1};{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1 ,0,0,1,0,1,0,1,0,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1};{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1 ,0,1,1,1,0,1,1,0,1,1,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1 ,1,1,1,1,0,1,0,1,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,0,0,1,1,0};
{0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,1,1,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,1,0,0,0,1};
{0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1};{0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1 ,1,0,1,1,0,1,1,0,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,0,0,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0 ,1,1,1,0,1,0,0,0,1,1,1};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1 ,0,0,1,0,0,1,0,1,1,1,0};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1 ,1,0,0,1,0,1,0,1,0,0,0};
{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1};{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1 ,0,0,1,1,0,1,0,0,1,0,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1 ,0,1,0,0,1,1,0,1,1,1,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1}。{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0 , 0,1,1,0,1,1,0,0,1,0,1}.
该序列集合12中的序列包括如下59个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于3.19dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.59dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.95dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{x n}的频域平坦度比较好,同时所述序列对应的序列{x n}间的互相关系数小于0.7: The sequence in the sequence set 12 includes some or all of the following 59 sequences, and the corresponding sequence {x n } of the sequence and its equivalent sequence after π/2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.1, When 1,0.1], the PAPR is less than 3.19dB, when the filter coefficient is [0.16,1,0.16], the PAPR is less than 2.59dB, and when the filter coefficient is [0.22,1,0.22], the PAPR is less than 1.95dB, and the filter coefficient is [0.28]. , 1,0.28], the PAPR is less than 1.40 dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1 dB, and the first minimum normalized power is greater than -1 dB, that is, The frequency domain flatness of the corresponding sequence {x n } is better, and the number of correlations between the sequences {x n } corresponding to the sequence is less than 0.7:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,01,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,01,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,10,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,10,0,1,1};
{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,00,1,1,0};{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,0,00,1,1,0};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,00,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,00,0,0,0};
{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,01,0,1,1};{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0 ,0,0,0,1,0,0,01,0,1,1};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,01,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,01,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,10,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,10,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,11,0,0,1};{0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0 ,1,0,1,0,0,0,11,0,0,1};
{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,00,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0 ,1,1,1,0,0,0,00,1,0,0};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,00,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,00,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,10,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,10,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,00,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,00,1,1,1};
{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,10,0,0,1};{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1 ,1,1,0,1,0,0,10,0,0,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,11,0,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1 ,1,1,1,1,0,1,11,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,01,1,0,1};{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1 ,0,0,0,1,0,1,01,1,0,1};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,01,1,1,0};{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1 ,0,1,0,1,1,1,01,1,1,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,00,1,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0 ,0,1,0,1,1,0,00,1,0,0};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,01,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1 ,1,1,1,1,0,1,01,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,00,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,00,1,1,0};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,01,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1 ,0,1,0,1,1,0,01,1,1,1};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,00,0,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ,0,1,0,1,1,1,00,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,11,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1 ,1,0,1,0,0,0,11,1,0,1};
{0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,11,1,0,1};{0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1 ,0,1,1,1,1,1,11,1,0,1};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,00,0,1,0};{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1 ,1,0,0,1,1,0,00,0,1,0};
{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,01,0,0,0};{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1 ,1,1,0,1,0,1,01,0,0,0};
{0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,00,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1 ,1,0,0,1,1,1,00,1,0,0};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,10,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,10,0,0,1};
{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,10,0,1,0};{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1 ,0,0,0,0,0,0,10,0,1,0};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,00,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,00,1,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,01,0,0,0};{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1 ,1,0,0,1,0,1,01,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,01,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1 ,0,1,0,1,1,0,01,1,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,10,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,10,0,0,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,11,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1 ,0,0,1,1,1,1,11,1,0,1};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,00,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,00,1,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,11,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1 ,1,0,1,0,0,0,11,1,0,1};
{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,11,1,1,1};{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1 ,1,0,1,1,0,1,11,1,1,1};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,11,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1 ,1,1,1,1,0,0,11,0,0,0};
{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,11,1,0,1};{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0 ,0,1,1,0,1,0,11,1,0,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,01,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0 ,0,1,0,1,1,0,01,1,1,1};
{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,10,0,0,0};{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1 ,1,1,1,0,0,1,10,0,0,0};
{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,11,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0 ,1,0,1,1,0,0,11,1,1,1};
{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,00,0,1,0};{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0 ,1,1,0,1,1,0,00,0,1,0};
{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,00,1,1,0};{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0 ,0,1,1,1,0,0,00,1,1,0};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,00,0,0,0};{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0 ,1,1,0,0,1,0,00,0,0,0};
{0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,01,1,1,1};{0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1 ,0,1,0,0,1,1,01,1,1,1};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,10,1,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0 ,0,1,1,0,0,0,10,1,0,1};
{0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,11,0,1,0};{0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,11,0,1,0};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,00,1,0,1};{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0 ,0,1,1,0,1,1,00,1,0,1};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,10,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0 ,1,1,0,0,0,1,10,0,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,01,0,1,0};{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0 ,0,0,0,1,1,1,01,0,1,0};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,11,1,1,1};{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0 ,1,0,1,1,0,1,11,1,1,1};
{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,11,0,0,1};{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1 ,0,0,1,0,1,1,11,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,01,1,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1 ,1,0,0,0,0,1,01,1,0,0};
{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,10,1,0,1};{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0 ,0,0,1,1,0,0,10,1,0,1};
{0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,00,0,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0 ,1,0,0,1,1,0,00,0,0,0};
{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,11,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1 ,0,0,1,0,0,0,11,0,0,1};
{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,11,1,0,1};{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1 ,1,1,0,0,1,1,11,1,0,1};
{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,01,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1 ,1,0,0,0,1,0,01,1,0,0};
{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,10,1,1,0}。{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1 , 1,1,1,1,0,0,10,1,1,0}.
该序列集合13中的序列包括以下60个序列中的部分或全部,这些序列和其等价序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.28,1,0.28]时,PAPR小于1.40dB,同时满足{x n}所对应的频域序列的第一种最大归一化功率小于1dB,第一种最小归一化功率大于-1dB,即所对应的序列{x n}的频域平坦度比较好,同时所述序列对应的序列{x n}间的互相关系数小于0.65: The sequence in the sequence set 13 includes some or all of the following 60 sequences, and the corresponding sequence {x n } of these sequences and their equivalent sequences after π/2BPSK modulation satisfies the use of time domain filtering, and the filter coefficient is [0.28, At 1,0.28], the PAPR is less than 1.40 dB, and the first maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 1 dB, and the first minimum normalized power is greater than -1 dB, that is, corresponding The frequency domain flatness of the sequence {x n } is better, and the number of correlations between the sequences {x n } corresponding to the sequence is less than 0.65:
{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,01,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,01,0,1,1};
{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,10,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,10,0,1,1};
{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,00,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,00,0,0,0};
{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,00,1,1,0};{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,1,0,0,0,00,1,1,0};
{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,01,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,01,1,0,0};
{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,10,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,10,0,0,1};
{0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,11,0,0,1};{0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0 ,1,0,1,0,0,0,11,0,0,1};
{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,01,0,0,1};{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1 ,1,1,1,0,1,0,01,0,0,1};
{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,01,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,01,1,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,11,1,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1 ,1,0,1,1,1,0,11,1,1,1};
{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,00,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,00,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,10,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,10,0,0,1};
{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,01,0,1,1};{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0 ,1,0,0,1,0,0,01,0,1,1};
{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,11,0,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1 ,1,1,1,1,0,1,11,0,1,1};
{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,01,1,0,1};{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1 ,0,0,0,1,0,1,01,1,0,1};
{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,00,1,1,1};{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1 ,0,1,1,1,0,1,00,1,1,1};
{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,01,1,1,0};{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1 ,0,1,0,1,1,1,01,1,1,0};
{0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,00,1,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0 ,0,1,0,1,1,0,00,1,0,0};
{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,10,0,1,1};{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1 ,0,0,1,0,1,0,10,0,1,1};
{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,10,1,1,1};{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1 ,0,1,1,1,0,1,10,1,1,1};
{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,01,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1 ,1,0,0,0,1,0,01,0,0,1};
{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,11,1,0,1};{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1 ,1,1,0,1,0,1,11,1,0,1};
{0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,01,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1 ,1,1,1,1,0,1,01,0,0,1};
{0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,00,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,00,1,1,0};
{0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,01,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1 ,0,1,0,1,1,0,01,1,1,1};
{0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,00,0,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ,0,1,0,1,1,1,00,0,0,0};
{0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,11,0,0,1};{0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,11,0,0,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,10,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,10,0,0,1};
{0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,10,1,0,1};{0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1 ,1,0,1,1,0,1,10,1,0,1};
{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,00,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,00,1,1,1};
{0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,00,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0 ,1,1,1,0,1,0,00,1,1,1};
{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,01,1,1,0};{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1 ,0,0,1,0,0,1,01,1,1,0};
{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,11,1,1,1};{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,1,11,1,1,1};
{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,00,1,1,1};{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1 ,0,1,1,0,1,1,00,1,1,1};
{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,01,0,0,0};{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1 ,1,0,0,1,0,1,01,0,0,0};
{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,01,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1 ,0,1,0,1,1,0,01,1,0,1};
{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,10,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,10,0,0,1};
{0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,11,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1 ,0,0,1,1,1,1,11,1,0,1};
{0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,00,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,00,1,0,0};
{0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,11,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1 ,1,1,1,1,0,0,11,0,0,0};
{0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,11,0,1,1};{0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, ,0,1,0,0,0,1,11,0,1,1};
{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,10,1,0,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0 ,1,0,0,0,1,1,10,1,0,1};
{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,01,1,1,1};{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1 ,0,1,0,0,1,1,01,1,1,1};
{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,11,0,1,0};{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1 ,1,1,1,0,0,1,11,0,1,0};
{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,11,0,0,1};{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1 ,1,0,0,0,1,0,11,0,0,1};
{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,10,1,1,1};{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1 ,0,1,0,1,0,0,10,1,1,1};
{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,00,0,0,0};{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0 ,1,1,0,0,1,0,00,0,0,0};
{0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,10,1,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0 ,0,1,1,0,0,0,10,1,0,1};
{0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,00,1,0,1};{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0 ,0,1,1,0,1,1,00,1,0,1};
{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,10,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0 ,1,1,0,0,0,1,10,0,0,0};
{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,01,0,1,0};{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0 ,0,0,0,1,1,1,01,0,1,0};
{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,11,1,1,1};{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0 ,1,0,1,1,0,1,11,1,1,1};
{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,01,1,0,1};{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1 ,1,0,1,0,1,1,01,1,0,1};
{0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,11,0,0,1};{0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1 ,0,0,0,1,0,1,11,0,0,1};
{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,01,1,0,0};{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1 ,1,0,1,1,1,1,01,1,0,0};
{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,11,0,0,0};{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1 ,0,0,0,0,0,1,11,0,0,0};
{0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,00,1,1,1};{0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1 ,0,0,0,0,1,0,00,1,1,1};
{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,00,1,1,1};{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1 ,1,0,1,1,1,0,00,1,1,1};
{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,10,1,1,1};{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1 ,0,1,1,0,1,1,10,1,1,1};
{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,11,1,0,1}。{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0 , 1,1,0,1,1,0,11,1,0,1}.
和/或,当N=18时,所述第四序列集合为序列集合18;And/or, when N=18, the fourth sequence set is a sequence set 18;
该序列集合18包括如下30个序列中的部分或全部,这些序列经π/2BPSK调制后对应的序列{x n}满足使用时域滤波,滤波系数为[0.1,1,0.1]时,PAPR小于2.89dB,滤波系数为[0.16,1,0.16]时,PAPR小于2.35dB,滤波系数为[0.22,1,0.22]时,PAPR小于1.76dB,滤波系数为[0.28,1,0.28]时,PAPR小于1.27dB,同时满足{x n}所对应的频域序列的第二种最大归一化功率小于0.5dB,第二种最小归一化功率大于-0.5dB,同时这些序列经π/2BPSK调制后对应的序列{x n}间的互相关系数小于0.672: The sequence set 18 includes some or all of the following 30 sequences. After the π/2BPSK modulation, the corresponding sequence {x n } satisfies the use of time domain filtering. When the filter coefficient is [0.1, 1, 0.1], the PAPR is smaller than 2.89dB, when the filter coefficient is [0.16,1,0.16], the PAPR is less than 2.35dB, the filter coefficient is [0.22,1,0.22], the PAPR is less than 1.76dB, and the filter coefficient is [0.28,1,0.28], PAPR Less than 1.27dB, while the second maximum normalized power satisfying the frequency domain sequence corresponding to {x n } is less than 0.5dB, and the second minimum normalized power is greater than -0.5dB, and these sequences are modulated by π/2BPSK The number of cross-correlations between the corresponding sequences {x n } is less than 0.672:
{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0 ,1,1,0,0,0,0,0,0,0,1,0,1};
{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,1,1 ,0,1,1,0,1,0,1,1,1,0,0,0};
{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,0,1,0 ,1,0,1,1,0,0,0,0,1,1,1,1};
{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,1,1 ,1,0,1,0,0,0,0,1,0,0,1,0};
{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0};{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,0,1,1 ,0,1,0,1,0,0,1,1,1,0,0,0};
{1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,0,0 ,1,0,1,0,0,0,1,1,1,0,1,0};
{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,1,0,1,0,1 ,1,1,1,0,0,1,1,0,1,0,0,0};
{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,1,0,1,0,0 ,1,1,0,0,1,0,0,0,0,0,1,0};
{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,1,0 ,0,1,1,0,1,1,1,1,1,0,0,1};
{1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1};{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1};{1,0,0,0,0,0 ,0,1,0,1,1,1,1,0,1,0,0,0};
{1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};{1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0};{1,0,1,1,0,1 ,0,1,1,1,1,0,0,1,0,0,0,0};
{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,1,0,0,1,1 ,1,0,1,0,1,1,1,0,1,0,0,0};
{1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0};{1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0};{1,0,0,0,1,1 ,1,1,1,1,0,1,0,1,1,0,0,1};
{1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0};{1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0};{1,0,0,1,0,1 ,1,0,1,0,0,0,0,1,0,0,0,0};
{1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0}。{1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,0,0,0,1 , 1,1,1,0,1,1,0,1,0,1,0,0}.
一般来说,PAPR比较低的序列,CM值也比较小。上述序列经过验证CM值都很小。In general, the PAPR is lower in sequence and the CM value is also smaller. The above sequence has been verified to have very small CM values.
基于上述本申请实施例公开的基于序列的信号处理方法,上述涉及的各个序列集合的中的序列{s n}的等价序列可以用{q n}表示。该等价序列{q n}中的元素q n满足:q n=s (n+M)mod N。M∈{0,1,2,...,N-1}。N为序列长度。 Based on the sequence-based signal processing method disclosed in the above embodiment of the present application, the equivalent sequence of the sequence {s n } in each sequence set involved above may be represented by {q n }. The element q n in the equivalent sequence {q n } satisfies: q n =s (n+M) mod N . M∈{0,1,2,...,N-1}. N is the length of the sequence.
这里序列{s n}的一个等价序列为{q n},则序列{u·(1-2·s n)}和序列{u·(1-2·q n)}之间的差别是一个常数,或者一个常数和一个循环移位变换。判定一个时域序列的频域是否平坦可通过如图7a或图7b所示的流程进行处理,根据图7a中所示,上述涉及的一个时域序列{x n}对应的频域序列的第一种最大归一化功率定义为序列
Figure PCTCN2018116011-appb-000022
归一化后的最大值,一个时域序列{x n}对应的频域序列的第一种最小归一化功率定义为序列
Figure PCTCN2018116011-appb-000023
归一化后的最小值。根据图7b中所示,上述涉及的一个时域序列{x n}对应的频域序列的第二种最大归一化功率定义为序列
Figure PCTCN2018116011-appb-000024
归一化后的最大值,一个时域序列{x n}对应的频域序列的第二种最小归一化功率定义为序列
Figure PCTCN2018116011-appb-000025
归一化后的最小值。
Here, an equivalent sequence of the sequence {s n } is {q n }, and the difference between the sequence {u·(1-2·s n )} and the sequence {u·(1-2·q n )} is A constant, or a constant and a cyclic shift transform. Determining whether the frequency domain of a time domain sequence is flat can be processed by the flow shown in FIG. 7a or FIG. 7b. According to FIG. 7a, the frequency domain sequence corresponding to a time domain sequence {x n } mentioned above A maximum normalized power is defined as a sequence
Figure PCTCN2018116011-appb-000022
The normalized maximum value, the first minimum normalized power of the frequency domain sequence corresponding to a time domain sequence {x n } is defined as a sequence
Figure PCTCN2018116011-appb-000023
The normalized minimum. According to FIG. 7b, the second maximum normalized power of the frequency domain sequence corresponding to a time domain sequence {x n } involved above is defined as a sequence.
Figure PCTCN2018116011-appb-000024
The normalized maximum value, the second minimum normalized power of the frequency domain sequence corresponding to a time domain sequence {x n } is defined as a sequence
Figure PCTCN2018116011-appb-000025
The normalized minimum.
本申请实施例所公开的一种基于序列的信号处理方法,通过确定满足PUSCH发送信号所使用的序列,该序列为包括N个元素的序列{x n},x n为所述序列{x n}中的元素,确定的序列{x n}为满足预设条件的序列,然后,生成第一信号并发送。利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。 A sequence-based signal processing method disclosed in the embodiment of the present application, by determining a sequence used to satisfy a PUSCH transmission signal, the sequence is a sequence {x n } including N elements, and x n is the sequence {x n The element in }, the determined sequence {x n } is a sequence satisfying the preset condition, and then the first signal is generated and transmitted. By using the above determined sequence, it is possible to maintain good sequence frequency domain flatness when transmitting signals using PUSCH, while maintaining a low PAPR value and low inter-sequence cross-correlation, thereby satisfying a communication application environment for transmitting signals by using PUSCH. . In particular, the NR system or NR-like scene is satisfied.
基于上述本申请实施例公开的基于序列的信号处理方法,本申请实施例还公开了基于序列的信号处理装置和通信系统。Based on the sequence-based signal processing method disclosed in the above embodiments of the present application, the embodiment of the present application further discloses a sequence-based signal processing apparatus and a communication system.
如图8所示,为本申请实施例公开的基于序列的信号处理装置800的结构示意图。信号处理装置800可以是通信设备,也可以是通信设备内的芯片。信号处理装置800包括处理单元801和收发单元802。FIG. 8 is a schematic structural diagram of a sequence-based signal processing apparatus 800 disclosed in an embodiment of the present application. The signal processing device 800 can be a communication device or a chip within the communication device. The signal processing device 800 includes a processing unit 801 and a transceiving unit 802.
处理单元801,用于确定包括N个元素的序列{x n},N为大于1的正整数,x n为序列{x n}中的元素,该序列{x n}为满足预设条件的序列。 Processing unit 801, for determining a sequence comprising N elements {x n}, N is a positive integer greater than 1, x n is the sequence {x n} elements, the sequence {x n} to satisfy the preset condition sequence.
在处理单元801中涉及的预设条件,可以参见上述本申请实施例公开的基于序列的信号处理方法中公开的预设条件,两者一致,这里不再进行赘述。For the preset conditions involved in the processing unit 801, reference may be made to the preset conditions disclosed in the sequence-based signal processing method disclosed in the foregoing embodiment of the present application, and the two are identical, and details are not described herein.
处理单元801,还用于对序列{x n}中的N个元素进行DFT处理,得到序列{f n};将序列{f n}映射至N个子载波上,生成第一信号。 The processing unit 801 is further configured to perform DFT processing on the N elements in the sequence {x n } to obtain a sequence {f n }; and map the sequence {f n } to the N subcarriers to generate a first signal.
收发单元802,用于发送该第一信号。The transceiver unit 802 is configured to send the first signal.
以上本申请实施例公开的信号处理装置800中的所涉及的相应操作,可以参照上述本申请实施例公开的基于序列的信号处理方法中执行的相应操作,这里不再进行赘述。For the corresponding operations involved in the signal processing apparatus 800 disclosed in the above embodiments, reference may be made to the corresponding operations performed in the sequence-based signal processing method disclosed in the foregoing embodiment of the present application, and details are not described herein.
结合本申请实施例公开的基于序列的信号处理方法,本申请实施例所公开的信号处理装置也可以直接用硬件、处理器执行的存储器,或者二者的结合来实施。In conjunction with the sequence-based signal processing method disclosed in the embodiments of the present application, the signal processing apparatus disclosed in the embodiments of the present application may also be directly implemented by hardware, a memory executed by a processor, or a combination of the two.
如图9所示,信号处理装置900包括:处理器901和收发器903。可选地,信号处理装置900还包括存储器902。As shown in FIG. 9, the signal processing device 900 includes a processor 901 and a transceiver 903. Optionally, signal processing device 900 also includes a memory 902.
处理器901通过总线与存储器902耦合。处理器901通过总线与收发器903耦合。Processor 901 is coupled to memory 902 via a bus. The processor 901 is coupled to the transceiver 903 via a bus.
处理器901具体可以是中央处理器(central processing unit,CPU)、网络处理器(network processor,NP)、专用集成电路(application-specific integrated circuit,ASIC)或者可编程逻辑器件(programmable logic device,PLD)。上述PLD可以是复杂可编程逻辑器件(complex programmable logic device,CPLD)、现场可编程逻辑门阵列(field-programmable gate array,FPGA)或者通用阵列逻辑(generic array logic,GAL)。The processor 901 may be a central processing unit (CPU), a network processor (NP), an application-specific integrated circuit (ASIC), or a programmable logic device (PLD). ). The PLD may be a complex programmable logic device (CPLD), a field-programmable gate array (FPGA), or a general array logic (GAL).
存储器802具体可以是内容寻址存储器(content-addressable memory,CAM)或者随机存取存储器(random-access memory,RAM)。CAM可以是三态内容寻址存储器(ternary cam,TCAM)。The memory 802 may specifically be a content-addressable memory (CAM) or a random-access memory (RAM). The CAM can be a tri-state content addressing memory (TCAM).
当信号处理装置900是通信设备时,收发器903可以是射频电路。当信号处理装置900为终端设备内的芯片时,收发器903可以是芯片上的输入/输出接口、管脚或电路等。When the signal processing device 900 is a communication device, the transceiver 903 can be a radio frequency circuit. When the signal processing device 900 is a chip within a terminal device, the transceiver 903 can be an input/output interface, a pin or a circuit on the chip.
存储器902也可以集成在处理器901中。如果存储器902和处理器901是相互独立的器件,存储器902和处理器901相连,例如存储器902和处理器901可以通过总线通信。收发器903和处理器901可以通过总线通信,收发器903也可以与处理器901直接连接。The memory 902 can also be integrated in the processor 901. If memory 902 and processor 901 are mutually independent devices, memory 902 is coupled to processor 901, for example, memory 902 and processor 901 can communicate over a bus. The transceiver 903 and the processor 901 can communicate via a bus, and the transceiver 903 can also be directly connected to the processor 901.
存储器902,用于存储基于序列的信号处理的操作程序、代码或指令。可选的,该存储器902包括操作系统和应用程序,用于存储基于序列的信号处理的操作程序、代码或指令。The memory 902 is configured to store an operation program, code or instruction of sequence-based signal processing. Optionally, the memory 902 includes an operating system and an application for storing operating procedures, code or instructions for sequence based signal processing.
当处理器901或硬件设备要进行基于序列的信号处理的相关操作时,调用并执行存储器902中存储的操作程序、代码或指令可以完成图1-图6中涉及的终端设备执行基于序列的信号处理的过程。具体过程可参见上述本申请实施例相应的部分,这里不再赘述。When the processor 901 or the hardware device is to perform related operations of sequence-based signal processing, calling and executing an operation program, code, or instruction stored in the memory 902 may complete the sequence device-based signal performed by the terminal device involved in FIGS. The process of processing. For the specific process, refer to the corresponding parts of the foregoing embodiment of the present application, and details are not described herein again.
可以理解的是,图9仅仅示出了信号处理装置900的简化设计。在实际应用中,信号处理装置900可以包含任意数量的收发器、处理器、存储器等,而所有可以实现本申请实施例的信号处理装置900都在本申请实施例的保护范围之内。It will be appreciated that FIG. 9 only shows a simplified design of the signal processing device 900. In a practical application, the signal processing device 900 can include any number of transceivers, processors, memories, and the like, and all of the signal processing devices 900 that can implement the embodiments of the present application are within the protection scope of the embodiments of the present application.
如图10所示,为本申请实施例公开的基于序列的信号处理装置1000的结构示意图。信号处理装置1000可以是通信设备,也可以是通信设备内的芯片。信号处理装置1000包括收发单元1001和处理单元1002。FIG. 10 is a schematic structural diagram of a sequence-based signal processing apparatus 1000 disclosed in an embodiment of the present application. The signal processing device 1000 may be a communication device or a chip within the communication device. The signal processing device 1000 includes a transceiving unit 1001 and a processing unit 1002.
收发单元1001,用于接收承载在N个子载波上的第一信号。The transceiver unit 1001 is configured to receive a first signal carried on the N subcarriers.
处理单元1002,用于获取序列{f n}中的N个元素,对所述序列{f n}进行IDFT处理,得到序列{x n}中的N个元素,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列。 Processing unit 1002, configured to obtain the sequence {f n} of N elements, the sequence {f n} perform IDFT processing to obtain the sequence {x n} of N elements, x n is the sequence {x An element in n }, the sequence {x n } being a sequence satisfying a preset condition.
在处理单元1002中涉及的预设条件,可以参见上述本申请实施例公开的基于序列的信号处理方法中公开的预设条件,两者一致,这里不再进行赘述。For the preset conditions involved in the processing unit 1002, refer to the preset conditions disclosed in the sequence-based signal processing method disclosed in the foregoing embodiment of the present application, and the two are identical, and details are not described herein.
处理单元1002,还用于根据序列{x n}中的N个元素对第一信号进行处理。 The processing unit 1002 is further configured to process the first signal according to the N elements in the sequence {x n }.
以上本申请实施例公开的信号处理装置1000中的所涉及的相应操作,可以参照上述本申请实施例公开的基于序列的信号处理方法中执行的相应操作,这里不再进行赘述。For the corresponding operations involved in the signal processing apparatus 1000 disclosed in the above embodiments, reference may be made to the corresponding operations performed in the sequence-based signal processing method disclosed in the foregoing embodiment of the present application, and details are not described herein.
结合本申请实施例公开的基于序列的信号处理方法,本申请实施例所公开的信号处理装置也可以直接用硬件、处理器执行的存储器,或者二者的结合来实施。In conjunction with the sequence-based signal processing method disclosed in the embodiments of the present application, the signal processing apparatus disclosed in the embodiments of the present application may also be directly implemented by hardware, a memory executed by a processor, or a combination of the two.
如图11所示,该信号处理装置1100包括:处理器1101和收发器1103。可选的,该信号处理装置1100还包括存储器1102。As shown in FIG. 11, the signal processing apparatus 1100 includes a processor 1101 and a transceiver 1103. Optionally, the signal processing device 1100 further includes a memory 1102.
该处理器1101通过总线与存储器1102耦合。处理器1101通过总线与该收发器1103耦合。The processor 1101 is coupled to the memory 1102 via a bus. The processor 1101 is coupled to the transceiver 1103 via a bus.
处理器1101具体可以是CPU、NP、ASIC或者PLD。上述PLD可以是CPLD、FPGA或者GAL。The processor 1101 may specifically be a CPU, an NP, an ASIC, or a PLD. The above PLD can be a CPLD, an FPGA, or a GAL.
存储器1102具体可以是CAM或RAM。CAM可以是TCAM。The memory 1102 can be specifically a CAM or a RAM. The CAM can be a TCAM.
当信号处理装置1100是通信设备时,收发器1103可以是射频电路。当信号处理装置1100为终端设备内的芯片时,收发器1103可以是芯片上的输入/输出接口、管脚或电路等。When the signal processing device 1100 is a communication device, the transceiver 1103 can be a radio frequency circuit. When the signal processing device 1100 is a chip within a terminal device, the transceiver 1103 may be an input/output interface, a pin or a circuit on the chip.
存储器1102也可以集成在处理器1101中。如果存储器1102和处理器1101是相互独立的器件,存储器1102和处理器1101相连,例如存储器1102和处理器1101可以通过总线通信。收发器1103和处理器1101可以通过总线通信,收发器1103也可以与处理器1101直接连接。The memory 1102 can also be integrated in the processor 1101. If the memory 1102 and the processor 1101 are mutually independent devices, the memory 1102 is coupled to the processor 1101, for example, the memory 1102 and the processor 1101 can communicate over a bus. The transceiver 1103 and the processor 1101 can communicate via a bus, and the transceiver 1103 can also be directly connected to the processor 1101.
存储器1102,用于存储基于序列的信号处理的操作程序、代码或指令。可选的,该存储器1102包括操作系统和应用程序,用于存储基于序列的信号处理的操作程序、代码或指令。The memory 1102 is configured to store an operation program, code or instruction of sequence-based signal processing. Optionally, the memory 1102 includes an operating system and an application for storing operating procedures, codes or instructions for sequence-based signal processing.
当处理器1101或硬件设备要进行基于序列的信号处理的相关操作时,调用并执行存储器1102中存储的操作程序、代码或指令可以完成图1-图7中涉及的网络设备执行基于序列的信号处理的过程。具体过程可参见上述本申请实施例相应的部分,这里不再赘述。When the processor 1101 or the hardware device is to perform related operations of sequence-based signal processing, calling and executing the operating program, code or instruction stored in the memory 1102 can complete the sequence-based signal performed by the network device involved in FIG. 1-7 The process of processing. For the specific process, refer to the corresponding parts of the foregoing embodiment of the present application, and details are not described herein again.
可以理解的是,图11仅仅示出了该信号处理装置1100的简化设计。在实际应用中,信号处理装置1100可以包含任意数量的接口,处理器,存储器等,而所有可以实现本申请实施例的信号处理装置1100都在本申请实施例的保护范围之内。It will be understood that FIG. 11 only shows a simplified design of the signal processing device 1100. In a practical application, the signal processing device 1100 can include any number of interfaces, processors, memories, etc., and all of the signal processing devices 1100 that can implement the embodiments of the present application are within the protection scope of the embodiments of the present application.
图12为本申请实施例公开的一种通信系统1200,包括第一通信设备1201和第二通信设备1202。其中,第一通信设备1201是发送侧的设备,第二通信设备1202是终端侧的设备。FIG. 12 is a communication system 1200 according to an embodiment of the present disclosure, including a first communication device 1201 and a second communication device 1202. The first communication device 1201 is a device on the transmitting side, and the second communication device 1202 is a device on the terminal side.
第一通信设备1201,用于确定包括N个元素的序列{x n},并对序列{x n}中的N个元素进行DFT获得序列{f n},然后将序列{f n}映射至N个子载波上,生成第一信号并发送给第二通信设备1202。 A first communication device 1201, for determining a sequence {x n} comprising N elements, and a sequence {x n} of the N elements DFT to obtain a sequence {f n}, and a sequence {f n} is mapped to On the N subcarriers, a first signal is generated and sent to the second communication device 1202.
第二通信设备1202,用于接收第一通信设备1201发送的N个子载波上的第一信号,获取序列{f n}中的N个元素,对所述序列{f n}进行IDFT处理,得到序列{x n}中的N个元素,并根据序列{x n}中的N个元素对第一信号进行处理。 The second communication device 1202, for receiving a first signal on the N subcarriers transmits a first communication device 1201 acquires the N elements of the sequence {f n}, the sequence {f n} IDFT is performed to give sequence {x n} of the N elements, and processes the first signal according to a sequence {x n} of the N elements.
以上本申请实施例公开的通信系统中,第一通信设备1201和第二通信设备1202的个数并不进行限定。该第一通信设备1201可以具体为图9和图10中公开的通信设备。可选的,可以用于执行本申请实施例图1至图7中涉及终端设备执行的相应操作。第二通信设备1102可以具体为图10和图11中公开的通信设备。可选的,可以用于执行本申请实施例图1至图7中涉及网络设备执行的相应操作。具体过程以及执行原理可以参照上述说明,这里不再进行赘述。In the communication system disclosed in the above embodiment of the present application, the number of the first communication device 1201 and the second communication device 1202 is not limited. The first communication device 1201 may be specifically the communication device disclosed in FIGS. 9 and 10. Optionally, it can be used to perform the corresponding operations performed by the terminal device in FIG. 1 to FIG. 7 in the embodiment of the present application. The second communication device 1102 can be specifically the communication device disclosed in Figures 10 and 11. Optionally, it can be used to perform the corresponding operations performed by the network device in FIG. 1 to FIG. 7 in the embodiment of the present application. For the specific process and the implementation principle, reference may be made to the above description, and details are not described herein again.
本领域技术人员应该可以意识到,在上述一个或多个示例中,本申请所描述的功能可以用硬件、软件、固件或它们的任意组合来实现。当使用软件实现时,可以将这些功能存储在计算机可读介质中或者作为计算机可读介质中的一个或多个指令或代码进行传输。计算机可读介质包括计算机存储介质和通信介质,其中,通信介质包括便于从一个地方向另一个地方传送计算机程序的任何介质。存储介质可以是通用或专用计算机能够存取的任何可用介质。Those skilled in the art will appreciate that in one or more examples described above, the functions described herein can be implemented in hardware, software, firmware, or any combination thereof. When implemented in software, the functions may be stored in or transmitted as one or more instructions or code in a computer readable medium. Computer readable media includes both computer storage media and communication media including any medium that facilitates transfer of a computer program from one location to another. A storage medium may be any available media that can be accessed by a general purpose or special purpose computer.
本说明书的各个部分均采用递进的方式进行描述,各个实施例之间相同相似的部分互相参见即可,每个实施例重点介绍的都是与其他实施例不同之处。尤其,对于装置和系统实施例而言,由于其基本相似于方法实施例,所以描述的比较简单,相关之处参见方法实施例部分的说明即可。The various parts of the specification are described in a progressive manner, and the same or similar parts between the various embodiments may be referred to each other, and each embodiment focuses on differences from other embodiments. In particular, for device and system embodiments, the description is relatively simple as it is substantially similar to the method embodiment, and the relevant portions can be found in the description of the method embodiments.
最后应说明的是:以上实施例仅用以示例性说明本申请的技术方案,而非对其限制;尽管参照前述实施例对本申请及本申请带来的有益效果进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本申请权利要求的范围。Finally, it should be noted that the above embodiments are only used to exemplify the technical solutions of the present application, and are not limited thereto; although the beneficial effects brought by the present application and the present application are described in detail with reference to the foregoing embodiments, the field A person skilled in the art should understand that the technical solutions described in the foregoing embodiments may be modified or equivalently replaced in some of the technical features; and the modifications or substitutions do not deviate from the essence of the corresponding technical solutions. The scope of the claims.

Claims (23)

  1. 一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:A sequence-based signal processing method, characterized in that the signal processing method comprises:
    确定包括N个元素的序列{x n},N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=A·b n·j n,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100001
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;
    Comprising determining the sequence {x n} N elements, N being a positive integer greater than 1, x n is the sequence {x n} elements, the sequence {x n} is a sequence satisfies a preset condition, the The preset condition is: x n = A · b n · j n , the value of n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100001
    The element b n =u·(1-2·s n ), u is a non-zero complex number, and the set of sequences {s n } consisting of the elements s n includes at least one of the sequences in the first sequence set or the first One of the equivalent sequences of the sequences in the sequence set;
    生成第一信号并发送;Generating a first signal and transmitting;
    其中,当N=12时,所述第一序列集合中的序列包括序列集合1中的部分或全部,所述序列集合1中的序列包括:Wherein, when N=12, the sequence in the first sequence set includes part or all of the sequence set 1, and the sequence in the sequence set 1 includes:
    {1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0 };{1,0,0,0,0,0,0,1,0,1,0,1};
    {1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0 };{1,0,0,0,0,0,1,0,1,0,0,0};
    {1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1 };{1,0,0,0,0,1,0,1,0,0,0,1};
    {1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1 };{1,0,0,0,0,1,0,1,1,1,0,1};
    {1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1 };{1,0,0,0,0,1,1,0,1,1,1,0};
    {1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1 };{1,0,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0 };{1,0,0,1,0,0,0,1,0,0,1,1};
    {1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0 };{1,0,0,1,0,1,0,0,0,0,0,1};
    {1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1 };{1,0,0,1,0,1,0,1,1,1,1,1};
    {1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1 };{1,0,0,1,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1 };{1,0,0,1,1,0,0,0,0,0,1,0};
    {1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0 };{1,0,0,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0 };{1,0,0,1,1,1,0,1,0,1,1,1};
    {1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0 };{1,0,0,1,1,1,1,0,1,0,0,1};
    {1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1 };{1,0,0,1,1,1,1,1,0,1,1,0};
    {1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0 };{1,1,0,0,0,1,0,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1 };{1,1,0,0,0,1,0,1,1,1,1,1};
    {1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1 };{1,1,0,1,0,0,0,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1 };{1,1,0,1,0,0,1,1,1,0,1,1};
    {1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0 };{1,1,0,1,0,1,1,1,0,1,1,1};
    {1,1,0,1,0,1,1,1,1,1,0,1};和,{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,1,0,1,0,1,1,1,1,1,0,1}; and, {1,0,0,0,0,1,0,0,0,1,0 ,1};{1,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0 };{1,0,0,1,0,1,1,1,0,1,1,1};
    {1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1};和/或,{1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0 };{1,1,0,1,0,0,0,1,1,0,1,1}; and/or,
    当N=24时,所述第一序列集合中的序列包括序列集合2中的部分或全部,所述序列集合2中的序列包括:When N=24, the sequence in the first sequence set includes part or all of the sequence set 2, and the sequence in the sequence set 2 includes:
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
    {1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};
    {1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
    {1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1};
    {1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};
    {1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};
    {1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};
    {1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};{1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0};
    {1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};
    {1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};
    {1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};
    {1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
    {1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};{1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1};
    {1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
    {1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
    {1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
    {1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};
    {1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1};
    {1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
    {1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
    {1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};
    {1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};
    {1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};
    {1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};
    {1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
    {1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};
    {1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};
    {1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0};{1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0};
    {1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
    {1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
    {1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0};
    {1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};
    {1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1};{1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1};
    {1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0};
    {1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0};{1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0};
    {1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};
    {1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1};
    {1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
    {1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};
    {1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};
    {1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};
    {1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};
    {1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
    {1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};
    {1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};
    {1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};
    {1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
    {1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
    {1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};
    {1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
    {1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0};
    {1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};
    {1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};
    {1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};
    {1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};
    {1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
    {1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};
    {1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};
    {1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};
    {1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
    {1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
    {1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
    {1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
    {1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1};{1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1};
    {1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};
    {1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};
    {1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
    {1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
    {1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};
    {1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};
    {1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};{1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0};{1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0};
    {1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};
    {1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};和,{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1}; with,
    {1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
    {1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0};
    {1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};
    {1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};
    {1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
    {1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};
    {1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
    {1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1};{1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1};
    {1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1};
    {1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};
    {1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};
    {1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};
    {1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};
    {1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1};
    {1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};
    {1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0};
    {1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};
    {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};
    {1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};
    {1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0};
    {1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};
    {1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};
    {1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};
    {1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};
    {1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};
    {1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};
    {1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};
    {1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};
    {1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};
    {1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};
    {1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};
    {1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};
    {1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};
    {1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
    {1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};
    {1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
    {1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};
    {1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};
    {1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};
    {1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};
    {1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};
    {1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};
    {1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
    {1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};
    {1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};
    {1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};
    {1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};
    {1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};
    {1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};
    {1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0};和/或,{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0}; and / or,
    当N=36时,所述第一序列集合中的序列至少包括序列集合3中的部分或全部,所述序列集合3中的序列包括:When N=36, the sequence in the first sequence set includes at least part or all of the sequence set 3, and the sequence in the sequence set 3 includes:
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1 ,0,1,0,1,1,0,0,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0 ,1,0,1,1,0,0,0,1,1,0,1};
    {0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0 ,0,0,1,0,1,1,0,0,0,1,1};
    {0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0 ,0,1,1,0,1,0,1,1,1,0,1};
    {0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,0,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0 ,1,0,1,1,0,0,1,1,1,1,1};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,0,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0 ,0,1,0,1,1,0,0,1,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1 ,1,0,1,0,1,1,1,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0 ,1,0,1,0,1,1,1,0,0,1,1};
    {0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0 ,0,0,1,1,0,0,1,0,1,0,1};
    {0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1 ,0,0,1,0,1,1,1,1,0,0,1};
    {0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0 ,1,0,1,0,0,0,1,0,0,1,1};
    {0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0 ,1,1,1,1,0,1,1,0,1,0,1};
    {0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0 ,0,1,0,0,1,1,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0 ,0,1,1,1,1,1,0,1,0,1,1};
    {0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,0,1,0,1,1};
    {0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,1,0,0,0,1};
    {0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,1,0,0,0,1};
    {0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1 ,1,0,0,0,0,1,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1 ,0,0,0,1,0,0,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,1,0,0,0,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,0,0,1,1,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1 ,1,1,0,1,1,0,0,0,0,1,1};
    {0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1 ,1,1,0,0,0,1,1,1,1,0,1};
    {0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1 ,0,1,1,0,1,1,1,0,1,1,1};
    {0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1 ,1,1,0,0,1,1,1,1,1,0,1};
    {0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,0,0,1,0,1,0,0,1,1};
    {0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,0,0,1,1};
    {0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1 ,1,0,0,1,1,1,0,1,0,1,1};
    {0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,1,0,0,0,1};
    {0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1 ,0,0,1,0,0,0,1,1,0,0,1};
    {0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1 ,0,1,0,1,1,0,0,0,0,1,1};
    {0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0 ,0,1,1,0,1,1,1,1,1,0,1};
    {0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0 ,1,1,1,1,0,0,1,0,0,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0 ,1,1,1,1,0,1,1,0,1,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1};{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1 ,1,1,0,1,1,0,1,0,1,1,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1};{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0 ,1,1,1,1,1,1,0,0,1,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1};{0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0 ,0,1,1,1,0,1,1,1,1,1,1};
    {0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1};{0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0 ,0,0,1,0,0,0,0,1,1,0,1};
    {0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1 ,1,1,0,1,0,0,1,0,0,0,1};
    {0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1};{0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0 ,1,1,0,1,1,0,1,0,0,1,1};
    {0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0 ,0,0,0,1,0,0,0,1,0,1,1};
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    {0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1 ,1,0,0,1,0,1,0,1,0,0,0};
    {0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0};{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1 ,1,1,1,0,0,1,1,0,0,0,0};
    {0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1 ,1,0,0,1,1,0,0,0,0,1,0};
    {0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0};{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0 ,1,1,0,1,1,0,0,0,0,1,0};
    {0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0};{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0 ,0,0,0,1,1,1,0,1,0,1,0};
    {0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0 ,1,1,0,0,0,1,1,0,0,0,0};
    {0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0};{0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,1,0,0,0};
    {0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1 ,1,1,0,1,0,1,0,1,0,0,0};
    {0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};{0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1 ,1,1,0,1,0,1,0,1,0,0,0};
    {0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,0,0,0,1,1,0};
    {0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,1,0,0,0,0,0,1,1,0};
    {0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0};{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1 ,1,1,1,1,0,0,1,0,1,1,0};
    {0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1 ,1,0,0,0,1,0,0,1,1,0,0};
    {0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0 ,1,1,1,0,0,0,0,0,1,0,0};
    {0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0};{0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1 ,0,0,1,1,0,1,1,1,1,1,0};
    {0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0};{0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1 ,0,1,1,0,1,1,0,1,0,0,0};
    {0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0};{0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1 ,0,1,1,1,0,0,1,0,1,1,0};
    {0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0};{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0 ,0,1,1,1,0,0,0,0,1,1,0};
    {0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,0,1,1,0,0,0,0};
    {0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0};{0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0 ,1,1,0,1,1,1,0,1,0,1,0};
    {0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0 ,0,1,0,1,1,0,0,0,1,0,0};
    {0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0 ,1,0,0,0,1,0,1,1,0,0,0};
    {0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1 ,1,1,1,1,0,0,1,1,0,0,0};
    {0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0 ,0,0,0,1,1,0,1,1,0,0,0};
    {0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};{0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0 ,1,1,0,1,0,1,1,1,1,1,0};
    {0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0 ,1,1,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,0,0,1,0,0};
    {0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1 ,1,0,0,1,1,1,0,0,1,0,0};
    {0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, ,0,0,1,0,1,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0};{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0 ,0,0,0,0,0,1,0,0,1,1,0};
    {0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0 ,1,0,0,1,1,0,0,0,0,0,0};
    {0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1 ,0,0,0,0,0,0,1,0,0,1,0};
    {0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,0,0,1,1,0};
    {0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1 ,1,0,0,0,0,1,0,1,1,0,0};
    {0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0};{0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1 ,0,1,0,1,1,1,1,1,1,0,0};
    {0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0};{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0 ,1,1,0,0,1,0,0,0,0,0,0};
    {0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0};{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1 ,0,0,1,0,0,1,0,0,0,0,0};
    {0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0};{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1 ,0,1,0,1,1,1,0,1,1,1,0};
    {0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0};{0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0 ,1,1,1,0,0,0,1,0,0,1,0};
    {0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0};{0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0 ,1,1,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};和,{0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,1,1,0,1,0}; and,
    {0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1};{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1 ,0,1,0,1,0,0,1,0,1,1,1};
    {0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1};{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1 ,1,0,0,0,1,0,1,1,0,0,1};
    {0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1};{0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1 ,1,0,0,1,0,0,1,0,1,1,1};
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    {0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1};{0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, ,0,1,0,0,0,1,1,1,0,1,1};
    {0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1};{0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, ,0,0,0,1,1,0,1,0,0,0,1};
    {0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1};{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1 ,1,0,1,1,1,0,0,1,0,1,1};
    {0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 ,1,1,0,1,1,1,1,1,0,0,1};
    {0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1};{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1 ,0,0,0,1,0,1,0,1,0,0,1};
    {0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1 ,0,1,0,1,0,0,1,1,0,0,1};
    {0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0 ,0,1,0,1,1,0,1,0,0,0,1};
    {0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ,0,1,1,1,0,1,0,1,1,0,1};
    {0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1};{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1 ,1,1,0,1,0,1,0,1,0,0,1};
    {0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0 ,1,1,1,0,0,0,1,1,1,1,1};
    {0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1 ,1,1,1,1,1,0,0,0,1,1,1};
    {0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,0,0,1,1,1,1};
    {0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1 ,0,1,0,0,1,1,0,1,1,1,1};
    {0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1};{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1 ,0,0,1,0,0,1,0,1,0,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1};{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1 ,1,0,1,0,1,1,1,1,0,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1};{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1 ,1,1,1,1,0,0,1,1,1,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1};{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1 ,0,1,0,0,1,0,0,1,0,0,1};
    {0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1};{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1 ,1,0,1,0,1,1,0,1,1,0,1};
    {0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1 ,1,0,1,1,0,0,0,1,1,0,1};
    {0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1};{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1 ,1,1,0,1,1,1,0,0,1,0,1};
    {0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1};{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0 ,1,1,0,1,1,1,1,1,1,1,1};
    {0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1 ,0,0,0,1,0,1,1,1,0,0,1};
    {0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1};{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,1,1,1,1,1,1};
    {0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1};{0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, ,1,0,1,1,0,0,1,0,1,1,1};
    {0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1 ,1,1,1,0,1,0,0,1,0,0,1};
    {0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1};{0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, ,0,1,0,1,0,0,1,0,0,1,1};
    {0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0};{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1 ,1,0,1,1,1,1,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1 ,1,1,1,0,0,1,1,1,0,1,0};
    {0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0};{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,1,0,1,0};
    {0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0};{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1 ,0,0,0,0,0,1,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1 ,0,1,0,1,1,0,0,1,0,0,0};
    {0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0};{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1 ,0,0,0,0,0,1,1,1,0,0,0};
    {0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1 ,0,0,1,0,0,1,0,1,1,1,0};
    {0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0};{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0 ,1,0,0,0,1,1,1,1,1,0,0};
    {0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0};{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0 ,1,1,0,0,0,0,0,0,0,1,0};
    {0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0};{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1 ,0,0,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0};{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1 ,1,1,0,1,1,1,1,0,1,1,0};
    {0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0};{0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1 ,1,1,1,1,1,0,0,1,1,0,0};
    {0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0};{0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0 ,0,1,1,1,0,1,0,1,1,0,0};
    {0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0}。{0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 , 0,1,1,1,0,0,0,0,1,0,0}.
  2. 一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:A sequence-based signal processing method, characterized in that the signal processing method comprises:
    确定包括N个元素的序列{x n},N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=y (n+Μ)mod Ν,其中,Μ∈{0,1,2,...,Ν-1},y n=A·b n·j n,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100002
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第三序列集合中的序列之一;
    Comprising determining the sequence {x n} N elements, N being a positive integer greater than 1, x n is the sequence {x n} elements, the sequence {x n} is a sequence satisfies a preset condition, the The preset condition is: x n = y (n + Μ) mod Ν , where Μ∈ {0,1,2,...,Ν-1}, y n =A·b n ·j n ,n The value is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100002
    Collection of sequence elements b n = u · (1-2 · s n), u is a non-zero complex, composed of the elements s n {s n} comprising at least one of the sequences of the third set of sequences;
    生成第一信号并发送;Generating a first signal and transmitting;
    其中,当N=18时,所述第三序列集合中的序列包括序列集合14中的部分或全部,所述序列集合14中的序列包括:Wherein, when N=18, the sequence in the third sequence set includes part or all of the sequence set 14, and the sequence in the sequence set 14 includes:
    {1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0 ,1,1,0,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0};{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0 ,0,0,1,0,0,0,1,1,0,1,0,0};
    {1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0};{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1 ,0,1,1,1,0,0,1,1,1,1,0,0};
    {1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1 ,1,0,1,0,1,0,0,0,1,0,0,0};
    {1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1 ,0,0,0,0,0,1,0,0,0,1,1,1};
    {1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1};{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0 ,0,0,0,0,0,1,0,1,0,0,1,1};
    {1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1 ,1,0,1,0,0,0,0,1,0,0,1,0};
    {1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0 , 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1};
    {1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1};{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0 ,0,0,1,0,1,1,0,1,1,0,1,1};
    {1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0 ,1,0,0,1,0,1,0,0,0,1,1,0};
    {1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1};{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1 ,0,1,0,1,1,0,0,0,1,1,1,1};
    {1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0 ,1,1,1,1,0,1,1,0,1,0,1,1};
    {1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1 ,0,1,0,0,0,0,0,1,0,1,1,0};
    {1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0};{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1 ,1,1,1,1,0,0,0,1,1,0,1,0};
    {1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1};{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0 ,0,0,0,1,0,1,0,0,0,0,1,1};
    {1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1};{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0 ,0,1,1,1,1,1,0,1,0,1,1,1};
    {1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1};{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0 ,1,0,0,0,1,1,1,0,1,1,1,1};
    {1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0};{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1 ,0,1,0,0,0,1,1,1,1,0,1,0};
    {1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1 ,1,1,0,1,1,1,1,1,0,1,1,0};
    {1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0};{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0 ,0,0,1,0,1,1,0,1,0,1,1,0};
    {1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0 ,1,0,0,1,1,1,1,1,0,1,1,0};
    {1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0};{1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0};{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0}; {1,1,0,1,0,1 , 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0};
    {1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0};{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0 ,0,1,0,0,1,0,0,1,0,1,0,0};
    {1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0};{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0 ,1,0,1,1,0,0,0,1,1,1,0,0};
    {1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0 ,0,0,0,0,1,1,1,1,0,1,0,1};
    {1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0};{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0 ,0,1,0,1,1,1,1,1,1,0,0,0};
    {1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1};{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0 ,0,1,0,0,0,1,0,1,0,1,1,1};
    {1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1 ,1,1,1,1,0,1,0,0,1,1,0,1};
    {1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1};{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0 ,1,0,1,1,1,1,0,0,1,1,0,1};
    {1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1 ,1,0,0,1,1,0,0,0,0,1,0,1};
    {1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0};{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0 ,0,0,1,1,1,0,0,0,1,1,0,0};
    {1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1 ,0,1,1,1,1,0,0,1,0,0,0,0};
    {1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0};{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0 ,0,1,0,1,0,1,1,1,1,1,1,0};
    {1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1};{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1 ,1,0,1,0,0,0,0,0,1,0,0,1};
    {1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0 ,1,0,1,1,1,0,1,0,1,1,1,0};
    {1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1};{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1 ,1,1,1,0,1,1,0,1,0,1,1,1};
    {1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0 ,0,0,1,1,0,1,0,1,1,1,1,1};
    {1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0 , 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0};
    {1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1};{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0 ,1,0,0,1,0,0,0,0,1,0,0,1};
    {1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1};{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0 ,0,1,1,1,1,1,0,0,0,1,0,1};
    {1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1};{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1 ,0,0,1,0,1,0,0,0,1,0,1,1};
    {1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1 ,0,1,1,0,1,0,1,1,1,1,1,0};
    {1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0};{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1 ,0,1,1,1,1,0,0,0,0,1,1,0};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0 ,1,0,0,1,0,0,0,1,1,1,1,0};
    {1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0};{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1 ,0,1,1,1,0,0,0,0,1,0,1,0};
    {1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0};{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0 ,0,1,1,0,1,0,1,1,0,1,0,0};
    {1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1 ,0,0,1,0,1,0,0,0,0,1,1,1};
    {1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1 ,0,1,0,0,1,1,1,1,0,1,1,1};
    {1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1};{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1 ,1,1,0,0,1,0,0,0,0,0,0,1};
    {1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0};{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1 ,0,1,0,1,1,0,0,0,0,1,0,0};
    {1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0};{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0 ,1,0,1,0,0,0,1,0,0,1,0,0};
    {1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0};{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1 ,1,1,1,0,1,0,1,0,1,1,1,0};
    {1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0 ,1,0,0,1,0,1,1,0,0,0,0,0};
    {1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0}。{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1 , 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0}.
  3. 一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:A sequence-based signal processing method, characterized in that the signal processing method comprises:
    确定包括N个元素的序列{x n},N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=y (n+Μ)mod Ν,其中,Μ∈{0,1,2,...,Ν-1},y n=A·b n·j n mod 2,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100003
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第五序列集合中的序列之一;
    Comprising determining the sequence {x n} N elements, N being a positive integer greater than 1, x n is the sequence {x n} elements, the sequence {x n} is a sequence satisfies a preset condition, the The preset condition is: x n = y (n + Μ) mod Ν , where Μ∈{0,1,2,...,Ν-1}, y n =A·b n ·j n mod 2 , n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100003
    Collection of sequence elements b n = u · (1-2 · s n), u is a plurality of non-zero, the element s n {s n} consisting of at least one sequence comprising a fifth set of sequences;
    生成第一信号并发送;Generating a first signal and transmitting;
    其中,当N=12时,所述第五序列集合中的序列包括序列集合15中的部分或全部,所述序列集合15中的序列包括:Wherein, when N=12, the sequence in the fifth sequence set includes part or all of the sequence set 15, and the sequence in the sequence set 15 includes:
    {1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0};{1,0,1,0,1,1,0,1,1,0,1,0};{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0 };{1,0,1,0,1,1,0,1,1,0,1,0};
    {1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0};{1,0,1,1,0,0,1,0,1,0,0,1};{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0 };{1,0,1,1,0,0,1,0,1,0,0,1};
    {1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0};{1,0,1,1,0,1,0,1,1,0,1,1};{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0 };{1,0,1,1,0,1,0,1,1,0,1,1};
    {1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1};{1,0,1,0,1,1,0,0,1,0,0,1};{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1 };{1,0,1,0,1,1,0,0,1,0,0,1};
    {1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1};{1,0,1,1,0,1,0,1,1,1,0,1};{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1 };{1,0,1,1,0,1,0,1,1,1,0,1};
    {1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0};{1,0,1,0,1,1,0,1,1,0,1,1};{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0 };{1,0,1,0,1,1,0,1,1,0,1,1};
    {1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,1,0,1,1,0,0,0};{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0 };{1,0,1,1,0,1,0,1,1,0,0,0};
    {1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0};{1,0,1,1,0,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0 };{1,0,1,1,0,1,0,1,0,0,0,1};
    {1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1};{1,0,1,1,0,0,1,1,1,0,0,0};{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1 };{1,0,1,1,0,0,1,1,1,0,0,0};
    {1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1};{1,0,1,1,0,1,1,1,1,0,0,1};{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1 };{1,0,1,1,0,1,1,1,1,0,0,1};
    和/或,and / or,
    其中,当N=18时,所述第五序列集合中的序列包括序列集合16中的部分或全部,所述序列集合16中的序列包括:Wherein, when N=18, the sequence in the fifth sequence set includes part or all of the sequence set 16, and the sequence in the sequence set 16 includes:
    {1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1};{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0 ,0,0,0,0,1,1,0,0,1,0,0,1};
    {1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0};{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1 ,1,0,1,0,0,1,1,1,0,1,0,0};
    {1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0 ,0,1,1,1,1,1,0,0,0,0,1,1};
    {1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1 ,0,1,1,0,1,1,0,1,1,1,1,0};
    {1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0};{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1 ,1,0,0,1,1,1,1,1,0,1,0,0};
    {1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0};{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0 ,0,1,1,0,1,1,1,1,0,1,1,0};
    {1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0};{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1 ,0,0,1,0,1,0,1,0,0,1,0,0};
    {1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0};{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0 ,0,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1};{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0 ,1,0,1,0,0,0,1,1,0,1,0,1};
    {1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0};{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0 ,1,0,0,1,0,0,1,0,0,1,0,0};
    {1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0};{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1 ,1,0,1,1,0,1,0,1,1,1,0,0};
    {1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0};{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1 ,0,1,1,0,0,0,1,0,0,1,0,0};
    {1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1};{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1 ,0,0,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1 ,0,1,1,0,1,1,0,1,1,1,0,0};
    {1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0};{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1 ,0,0,1,0,0,0,0,1,1,0,0,0};
    和/或,and / or,
    其中,当N=24时,所述第五序列集合中的序列包括序列集合17中的部分或全部,所述序列集合17中的序列包括:Wherein, when N=24, the sequence in the fifth sequence set includes part or all of the sequence set 17, and the sequence in the sequence set 17 includes:
    {1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};
    {1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};
    {1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};
    {1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};
    {1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};
    {1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};
    {1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};
    {1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};
    {1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1};{1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1};
    {1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};
    {1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};
    {1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0};{1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0};
    {1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
    {1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};
    {1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};
    {1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};
    {1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1};{1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1};
    {1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};
    {1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};
    {1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};
    {1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};
    {1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};
    {1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};
    {1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};
    {1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0};{1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0};
    {1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1};{1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1};
    {1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};
    {1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1};{1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1};
    {1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};
    {1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}。{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}.
  4. 根据权利要求1-3中任一项所述的信号处理方法,其特征在于,所述生成第一信号并发送,包括:The signal processing method according to any one of claims 1 to 3, wherein the generating the first signal and transmitting comprises:
    对所述序列{x n}中的N个元素进行离散傅里叶变换处理,得到序列{f n}; Performing discrete Fourier transform processing on N elements in the sequence {x n } to obtain a sequence {f n };
    将所述序列{f n}中的N个元素分别映射至连续的N个子载波上,得到包含N个元素的频域信号;或者,将所述序列{f n}中的N个元素分别映射至等间隔的N个子载波上,得到包含N个元素的频域信号; Mapping N elements in the sequence {f n } to successive N subcarriers respectively to obtain a frequency domain signal containing N elements; or mapping N elements in the sequence {f n } respectively Obtaining frequency domain signals including N elements on N subcarriers that are equally spaced;
    生成第一信号;Generating a first signal;
    通过射频发送所述第一信号。The first signal is transmitted by radio frequency.
  5. 根据权利要求1-4中任一项所述的信号处理方法,其特征在于,还包括:The signal processing method according to any one of claims 1 to 4, further comprising:
    在所述对所述序列{x n}中的N个元素进行离散傅里叶变换处理之前,对所述序列{x n}进行滤波;或者, Before the pair {x n} of the N elements of the discrete Fourier transform processing sequence, the sequence {x n} filter; or
    在所述对所述序列{x n}中的N个元素进行离散傅里叶变换处理之后,对所述序列{x n}进行滤波。 After the pair {x n} of the N elements of the discrete Fourier transform processing sequence, the sequence {x n} filter.
  6. 一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:A sequence-based signal processing method, characterized in that the signal processing method comprises:
    接收承载在N个子载波上的第一信号,获取序列{x n}中的N个元素,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=A·b n·j n,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100004
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;
    Receiving a first signal carried on N subcarriers, acquiring N elements in the sequence {x n }, N being a positive integer greater than 1, and x n being an element in the sequence {x n }, the sequence { x n } is a sequence satisfying a preset condition: x n = A·b n · j n , n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100004
    The element b n =u·(1-2·s n ), u is a non-zero complex number, and the set of sequences {s n } consisting of the elements s n includes at least one of the sequences in the first sequence set or the first One of the equivalent sequences of the sequences in the sequence set;
    根据所述序列{x n}中的N个元素对所述第一信号进行处理; Processing the first signal according to N elements in the sequence {x n };
    其中,当N=12时,所述第一序列集合中的序列包括序列集合1中的部分或全部,所述序列集合1中的序列包括:Wherein, when N=12, the sequence in the first sequence set includes part or all of the sequence set 1, and the sequence in the sequence set 1 includes:
    {1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0 };{1,0,0,0,0,0,0,1,0,1,0,1};
    {1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0 };{1,0,0,0,0,0,1,0,1,0,0,0};
    {1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1 };{1,0,0,0,0,1,0,1,0,0,0,1};
    {1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1 };{1,0,0,0,0,1,0,1,1,1,0,1};
    {1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1 };{1,0,0,0,0,1,1,0,1,1,1,0};
    {1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1 };{1,0,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0 };{1,0,0,1,0,0,0,1,0,0,1,1};
    {1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0 };{1,0,0,1,0,1,0,0,0,0,0,1};
    {1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1 };{1,0,0,1,0,1,0,1,1,1,1,1};
    {1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1 };{1,0,0,1,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1 };{1,0,0,1,1,0,0,0,0,0,1,0};
    {1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0 };{1,0,0,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0 };{1,0,0,1,1,1,0,1,0,1,1,1};
    {1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0 };{1,0,0,1,1,1,1,0,1,0,0,1};
    {1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1 };{1,0,0,1,1,1,1,1,0,1,1,0};
    {1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0 };{1,1,0,0,0,1,0,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1 };{1,1,0,0,0,1,0,1,1,1,1,1};
    {1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1 };{1,1,0,1,0,0,0,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1 };{1,1,0,1,0,0,1,1,1,0,1,1};
    {1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0 };{1,1,0,1,0,1,1,1,0,1,1,1};
    {1,1,0,1,0,1,1,1,1,1,0,1};和,{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,1,0,1,0,1,1,1,1,1,0,1}; and, {1,0,0,0,0,1,0,0,0,1,0 ,1};{1,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0 };{1,0,0,1,0,1,1,1,0,1,1,1};
    {1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1};和/或,{1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0 };{1,1,0,1,0,0,0,1,1,0,1,1}; and/or,
    当N=24时,所述第一序列集合中的序列包括序列集合2中的部分或全部,所述序列集合2中的序列包括:When N=24, the sequence in the first sequence set includes part or all of the sequence set 2, and the sequence in the sequence set 2 includes:
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
    {1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};
    {1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
    {1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1};
    {1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};
    {1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};
    {1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};
    {1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};{1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0};
    {1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};
    {1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};
    {1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};
    {1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
    {1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};{1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1};
    {1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
    {1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
    {1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
    {1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};
    {1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1};
    {1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
    {1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
    {1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};
    {1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};
    {1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};
    {1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};
    {1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
    {1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};
    {1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};
    {1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0};{1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0};
    {1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
    {1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
    {1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0};
    {1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};
    {1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1};{1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1};
    {1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0};
    {1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0};{1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0};
    {1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};
    {1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1};
    {1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
    {1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};
    {1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};
    {1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};
    {1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};
    {1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
    {1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};
    {1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};
    {1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};
    {1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
    {1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
    {1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};
    {1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
    {1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0};
    {1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};
    {1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};
    {1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};
    {1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};
    {1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
    {1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};
    {1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};
    {1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};
    {1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
    {1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
    {1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
    {1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
    {1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1};{1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1};
    {1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};
    {1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};
    {1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
    {1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
    {1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};
    {1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};
    {1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};{1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0};{1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0};
    {1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};
    {1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};和,{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1}; with,
    {1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
    {1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0};
    {1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};
    {1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};
    {1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
    {1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};
    {1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
    {1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1};{1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1};
    {1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1};
    {1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};
    {1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};
    {1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};
    {1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};
    {1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1};
    {1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};
    {1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0};
    {1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};
    {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};
    {1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};
    {1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0};
    {1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};
    {1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};
    {1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};
    {1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};
    {1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};
    {1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};
    {1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};
    {1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};
    {1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};
    {1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};
    {1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};
    {1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};
    {1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};
    {1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
    {1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};
    {1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
    {1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};
    {1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};
    {1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};
    {1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};
    {1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};
    {1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};
    {1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
    {1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};
    {1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};
    {1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};
    {1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};
    {1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};
    {1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};
    {1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0};和/或,{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0}; and / or,
    当N=36时,所述第一序列集合中的序列至少包括序列集合3中的部分或全部,所述序列集合3中的序列包括:When N=36, the sequence in the first sequence set includes at least part or all of the sequence set 3, and the sequence in the sequence set 3 includes:
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1 ,0,1,0,1,1,0,0,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0 ,1,0,1,1,0,0,0,1,1,0,1};
    {0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0 ,0,0,1,0,1,1,0,0,0,1,1};
    {0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0 ,0,1,1,0,1,0,1,1,1,0,1};
    {0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,0,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0 ,1,0,1,1,0,0,1,1,1,1,1};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,0,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0 ,0,1,0,1,1,0,0,1,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1 ,1,0,1,0,1,1,1,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0 ,1,0,1,0,1,1,1,0,0,1,1};
    {0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0 ,0,0,1,1,0,0,1,0,1,0,1};
    {0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1 ,0,0,1,0,1,1,1,1,0,0,1};
    {0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0 ,1,0,1,0,0,0,1,0,0,1,1};
    {0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0 ,1,1,1,1,0,1,1,0,1,0,1};
    {0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0 ,0,1,0,0,1,1,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0 ,0,1,1,1,1,1,0,1,0,1,1};
    {0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,0,1,0,1,1};
    {0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,1,0,0,0,1};
    {0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,1,0,0,0,1};
    {0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1 ,1,0,0,0,0,1,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1 ,0,0,0,1,0,0,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,1,0,0,0,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,0,0,1,1,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1 ,1,1,0,1,1,0,0,0,0,1,1};
    {0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1 ,1,1,0,0,0,1,1,1,1,0,1};
    {0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1 ,0,1,1,0,1,1,1,0,1,1,1};
    {0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1 ,1,1,0,0,1,1,1,1,1,0,1};
    {0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,0,0,1,0,1,0,0,1,1};
    {0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,0,0,1,1};
    {0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1 ,1,0,0,1,1,1,0,1,0,1,1};
    {0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,1,0,0,0,1};
    {0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1 ,0,0,1,0,0,0,1,1,0,0,1};
    {0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1 ,0,1,0,1,1,0,0,0,0,1,1};
    {0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0 ,0,1,1,0,1,1,1,1,1,0,1};
    {0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0 ,1,1,1,1,0,0,1,0,0,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0 ,1,1,1,1,0,1,1,0,1,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1};{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1 ,1,1,0,1,1,0,1,0,1,1,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1};{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0 ,1,1,1,1,1,1,0,0,1,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1};{0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0 ,0,1,1,1,0,1,1,1,1,1,1};
    {0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1};{0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0 ,0,0,1,0,0,0,0,1,1,0,1};
    {0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1 ,1,1,0,1,0,0,1,0,0,0,1};
    {0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1};{0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0 ,1,1,0,1,1,0,1,0,0,1,1};
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    {0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,1,0,0,0,0,0,1,1,0};
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    {0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1 ,1,0,0,0,1,0,0,1,1,0,0};
    {0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0 ,1,1,1,0,0,0,0,0,1,0,0};
    {0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0};{0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1 ,0,0,1,1,0,1,1,1,1,1,0};
    {0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0};{0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1 ,0,1,1,0,1,1,0,1,0,0,0};
    {0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0};{0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1 ,0,1,1,1,0,0,1,0,1,1,0};
    {0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0};{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0 ,0,1,1,1,0,0,0,0,1,1,0};
    {0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,0,1,1,0,0,0,0};
    {0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0};{0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0 ,1,1,0,1,1,1,0,1,0,1,0};
    {0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0 ,0,1,0,1,1,0,0,0,1,0,0};
    {0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0 ,1,0,0,0,1,0,1,1,0,0,0};
    {0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1 ,1,1,1,1,0,0,1,1,0,0,0};
    {0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0 ,0,0,0,1,1,0,1,1,0,0,0};
    {0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};{0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0 ,1,1,0,1,0,1,1,1,1,1,0};
    {0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0 ,1,1,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,0,0,1,0,0};
    {0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1 ,1,0,0,1,1,1,0,0,1,0,0};
    {0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, ,0,0,1,0,1,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0};{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0 ,0,0,0,0,0,1,0,0,1,1,0};
    {0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0 ,1,0,0,1,1,0,0,0,0,0,0};
    {0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1 ,0,0,0,0,0,0,1,0,0,1,0};
    {0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,0,0,1,1,0};
    {0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1 ,1,0,0,0,0,1,0,1,1,0,0};
    {0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0};{0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1 ,0,1,0,1,1,1,1,1,1,0,0};
    {0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0};{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0 ,1,1,0,0,1,0,0,0,0,0,0};
    {0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0};{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1 ,0,0,1,0,0,1,0,0,0,0,0};
    {0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0};{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1 ,0,1,0,1,1,1,0,1,1,1,0};
    {0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0};{0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0 ,1,1,1,0,0,0,1,0,0,1,0};
    {0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0};{0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0 ,1,1,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};和,{0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,1,1,0,1,0}; and,
    {0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1};{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1 ,0,1,0,1,0,0,1,0,1,1,1};
    {0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1};{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1 ,1,0,0,0,1,0,1,1,0,0,1};
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    {0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1};{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1 ,0,1,1,0,1,1,1,0,0,0,1};
    {0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1};{0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, ,0,1,0,0,0,1,1,1,0,1,1};
    {0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1};{0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, ,0,0,0,1,1,0,1,0,0,0,1};
    {0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1};{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1 ,1,0,1,1,1,0,0,1,0,1,1};
    {0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 ,1,1,0,1,1,1,1,1,0,0,1};
    {0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1};{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1 ,0,0,0,1,0,1,0,1,0,0,1};
    {0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1 ,0,1,0,1,0,0,1,1,0,0,1};
    {0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0 ,0,1,0,1,1,0,1,0,0,0,1};
    {0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ,0,1,1,1,0,1,0,1,1,0,1};
    {0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1};{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1 ,1,1,0,1,0,1,0,1,0,0,1};
    {0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0 ,1,1,1,0,0,0,1,1,1,1,1};
    {0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1 ,1,1,1,1,1,0,0,0,1,1,1};
    {0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,0,0,1,1,1,1};
    {0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1 ,0,1,0,0,1,1,0,1,1,1,1};
    {0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1};{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1 ,0,0,1,0,0,1,0,1,0,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1};{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1 ,1,0,1,0,1,1,1,1,0,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1};{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1 ,1,1,1,1,0,0,1,1,1,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1};{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1 ,0,1,0,0,1,0,0,1,0,0,1};
    {0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1};{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1 ,1,0,1,0,1,1,0,1,1,0,1};
    {0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1 ,1,0,1,1,0,0,0,1,1,0,1};
    {0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1};{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1 ,1,1,0,1,1,1,0,0,1,0,1};
    {0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1};{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0 ,1,1,0,1,1,1,1,1,1,1,1};
    {0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1 ,0,0,0,1,0,1,1,1,0,0,1};
    {0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1};{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,1,1,1,1,1,1};
    {0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1};{0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, ,1,0,1,1,0,0,1,0,1,1,1};
    {0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1 ,1,1,1,0,1,0,0,1,0,0,1};
    {0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1};{0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, ,0,1,0,1,0,0,1,0,0,1,1};
    {0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0};{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1 ,1,0,1,1,1,1,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1 ,1,1,1,0,0,1,1,1,0,1,0};
    {0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0};{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,1,0,1,0};
    {0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0};{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1 ,0,0,0,0,0,1,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1 ,0,1,0,1,1,0,0,1,0,0,0};
    {0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0};{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1 ,0,0,0,0,0,1,1,1,0,0,0};
    {0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1 ,0,0,1,0,0,1,0,1,1,1,0};
    {0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0};{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0 ,1,0,0,0,1,1,1,1,1,0,0};
    {0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0};{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0 ,1,1,0,0,0,0,0,0,0,1,0};
    {0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0};{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1 ,0,0,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0};{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1 ,1,1,0,1,1,1,1,0,1,1,0};
    {0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0};{0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1 ,1,1,1,1,1,0,0,1,1,0,0};
    {0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0};{0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0 ,0,1,1,1,0,1,0,1,1,0,0};
    {0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0}。{0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 , 0,1,1,1,0,0,0,0,1,0,0}.
  7. 一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:A sequence-based signal processing method, characterized in that the signal processing method comprises:
    接收承载在N个子载波上的第一信号,获取序列{x n}中的N个元素,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=y (n+Μ)mod Ν,其中,Μ∈{0,1,2,...,Ν-1},y n=A·b n·j n,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100005
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第三序列集合中的序列之一;
    Receiving a first signal carried on N subcarriers, acquiring N elements in the sequence {x n }, N being a positive integer greater than 1, and x n being an element in the sequence {x n }, the sequence { x n } is a sequence satisfying a preset condition: x n = y (n + Μ) mod Ν , where Μ∈ {0, 1, 2, ..., Ν - 1}, y n =A·b n ·j n , the value of n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100005
    Collection of sequence elements b n = u · (1-2 · s n), u is a non-zero complex, composed of the elements s n {s n} comprising at least one of the sequences of the third set of sequences;
    根据所述序列{x n}中的N个元素对所述第一信号进行处理; Processing the first signal according to N elements in the sequence {x n };
    其中,当N=18时,所述第三序列集合中的序列包括序列集合14中的部分或全部,所述序列集合14中的序列包括:Wherein, when N=18, the sequence in the third sequence set includes part or all of the sequence set 14, and the sequence in the sequence set 14 includes:
    {1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0 ,1,1,0,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0};{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0 ,0,0,1,0,0,0,1,1,0,1,0,0};
    {1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0};{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1 ,0,1,1,1,0,0,1,1,1,1,0,0};
    {1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1 ,1,0,1,0,1,0,0,0,1,0,0,0};
    {1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1 ,0,0,0,0,0,1,0,0,0,1,1,1};
    {1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1};{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0 ,0,0,0,0,0,1,0,1,0,0,1,1};
    {1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1 ,1,0,1,0,0,0,0,1,0,0,1,0};
    {1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0 , 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1};
    {1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1};{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0 ,0,0,1,0,1,1,0,1,1,0,1,1};
    {1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0 ,1,0,0,1,0,1,0,0,0,1,1,0};
    {1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1};{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1 ,0,1,0,1,1,0,0,0,1,1,1,1};
    {1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0 ,1,1,1,1,0,1,1,0,1,0,1,1};
    {1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1 ,0,1,0,0,0,0,0,1,0,1,1,0};
    {1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0};{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1 ,1,1,1,1,0,0,0,1,1,0,1,0};
    {1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1};{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0 ,0,0,0,1,0,1,0,0,0,0,1,1};
    {1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1};{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0 ,0,1,1,1,1,1,0,1,0,1,1,1};
    {1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1};{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0 ,1,0,0,0,1,1,1,0,1,1,1,1};
    {1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0};{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1 ,0,1,0,0,0,1,1,1,1,0,1,0};
    {1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1 ,1,1,0,1,1,1,1,1,0,1,1,0};
    {1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0};{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0 ,0,0,1,0,1,1,0,1,0,1,1,0};
    {1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0 ,1,0,0,1,1,1,1,1,0,1,1,0};
    {1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0};{1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0};{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0}; {1,1,0,1,0,1 , 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0};
    {1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0};{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0 ,0,1,0,0,1,0,0,1,0,1,0,0};
    {1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0};{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0 ,1,0,1,1,0,0,0,1,1,1,0,0};
    {1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0 ,0,0,0,0,1,1,1,1,0,1,0,1};
    {1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0};{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0 ,0,1,0,1,1,1,1,1,1,0,0,0};
    {1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1};{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0 ,0,1,0,0,0,1,0,1,0,1,1,1};
    {1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1 ,1,1,1,1,0,1,0,0,1,1,0,1};
    {1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1};{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0 ,1,0,1,1,1,1,0,0,1,1,0,1};
    {1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1 ,1,0,0,1,1,0,0,0,0,1,0,1};
    {1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0};{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0 ,0,0,1,1,1,0,0,0,1,1,0,0};
    {1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1 ,0,1,1,1,1,0,0,1,0,0,0,0};
    {1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0};{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0 ,0,1,0,1,0,1,1,1,1,1,1,0};
    {1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1};{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1 ,1,0,1,0,0,0,0,0,1,0,0,1};
    {1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0 ,1,0,1,1,1,0,1,0,1,1,1,0};
    {1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1};{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1 ,1,1,1,0,1,1,0,1,0,1,1,1};
    {1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0 ,0,0,1,1,0,1,0,1,1,1,1,1};
    {1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0 , 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0};
    {1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1};{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0 ,1,0,0,1,0,0,0,0,1,0,0,1};
    {1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1};{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0 ,0,1,1,1,1,1,0,0,0,1,0,1};
    {1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1};{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1 ,0,0,1,0,1,0,0,0,1,0,1,1};
    {1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1 ,0,1,1,0,1,0,1,1,1,1,1,0};
    {1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0};{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1 ,0,1,1,1,1,0,0,0,0,1,1,0};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0 ,1,0,0,1,0,0,0,1,1,1,1,0};
    {1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0};{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1 ,0,1,1,1,0,0,0,0,1,0,1,0};
    {1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0};{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0 ,0,1,1,0,1,0,1,1,0,1,0,0};
    {1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1 ,0,0,1,0,1,0,0,0,0,1,1,1};
    {1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1 ,0,1,0,0,1,1,1,1,0,1,1,1};
    {1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1};{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1 ,1,1,0,0,1,0,0,0,0,0,0,1};
    {1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0};{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1 ,0,1,0,1,1,0,0,0,0,1,0,0};
    {1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0};{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0 ,1,0,1,0,0,0,1,0,0,1,0,0};
    {1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0};{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1 ,1,1,1,0,1,0,1,0,1,1,1,0};
    {1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0 ,1,0,0,1,0,1,1,0,0,0,0,0};
    {1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0}。{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1 , 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0}.
  8. 一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:A sequence-based signal processing method, characterized in that the signal processing method comprises:
    接收承载在N个子载波上的第一信号,获取序列{x n}中的N个元素,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条 件为:x n=y (n+Μ)mod Ν,其中,Μ∈{0,1,2,...,Ν-1},y n=A·b n·j n mod 2,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100006
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第五序列集合中的序列之一;
    Receiving a first signal carried on N subcarriers, acquiring N elements in the sequence {x n }, N being a positive integer greater than 1, and x n being an element in the sequence {x n }, the sequence { x n } is a sequence satisfying a preset condition: x n = y (n + Μ) mod Ν , where Μ∈ {0, 1, 2, ..., Ν - 1}, y n =A·b n ·j n mod 2 , the value of n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100006
    Collection of sequence elements b n = u · (1-2 · s n), u is a plurality of non-zero, the element s n {s n} consisting of at least one sequence comprising a fifth set of sequences;
    根据所述序列{x n}中的N个元素对所述第一信号进行处理; Processing the first signal according to N elements in the sequence {x n };
    其中,当N=12时,所述第五序列集合中的序列包括序列集合15中的部分或全部,所述序列集合15中的序列包括:Wherein, when N=12, the sequence in the fifth sequence set includes part or all of the sequence set 15, and the sequence in the sequence set 15 includes:
    {1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0};{1,0,1,0,1,1,0,1,1,0,1,0};{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0 };{1,0,1,0,1,1,0,1,1,0,1,0};
    {1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0};{1,0,1,1,0,0,1,0,1,0,0,1};{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0 };{1,0,1,1,0,0,1,0,1,0,0,1};
    {1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0};{1,0,1,1,0,1,0,1,1,0,1,1};{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0 };{1,0,1,1,0,1,0,1,1,0,1,1};
    {1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1};{1,0,1,0,1,1,0,0,1,0,0,1};{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1 };{1,0,1,0,1,1,0,0,1,0,0,1};
    {1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1};{1,0,1,1,0,1,0,1,1,1,0,1};{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1 };{1,0,1,1,0,1,0,1,1,1,0,1};
    {1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0};{1,0,1,0,1,1,0,1,1,0,1,1};{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0 };{1,0,1,0,1,1,0,1,1,0,1,1};
    {1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,1,0,1,1,0,0,0};{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0 };{1,0,1,1,0,1,0,1,1,0,0,0};
    {1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0};{1,0,1,1,0,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0 };{1,0,1,1,0,1,0,1,0,0,0,1};
    {1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1};{1,0,1,1,0,0,1,1,1,0,0,0};{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1 };{1,0,1,1,0,0,1,1,1,0,0,0};
    {1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1};{1,0,1,1,0,1,1,1,1,0,0,1};{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1 };{1,0,1,1,0,1,1,1,1,0,0,1};
    和/或,and / or,
    其中,当N=18时,所述第五序列集合中的序列包括序列集合16中的部分或全部,所述序列集合16中的序列包括:Wherein, when N=18, the sequence in the fifth sequence set includes part or all of the sequence set 16, and the sequence in the sequence set 16 includes:
    {1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1};{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0 ,0,0,0,0,1,1,0,0,1,0,0,1};
    {1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0};{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1 ,1,0,1,0,0,1,1,1,0,1,0,0};
    {1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0 ,0,1,1,1,1,1,0,0,0,0,1,1};
    {1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1 ,0,1,1,0,1,1,0,1,1,1,1,0};
    {1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0};{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1 ,1,0,0,1,1,1,1,1,0,1,0,0};
    {1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0};{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0 ,0,1,1,0,1,1,1,1,0,1,1,0};
    {1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0};{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1 ,0,0,1,0,1,0,1,0,0,1,0,0};
    {1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0};{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0 ,0,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1};{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0 ,1,0,1,0,0,0,1,1,0,1,0,1};
    {1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0};{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0 ,1,0,0,1,0,0,1,0,0,1,0,0};
    {1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0};{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1 ,1,0,1,1,0,1,0,1,1,1,0,0};
    {1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0};{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1 ,0,1,1,0,0,0,1,0,0,1,0,0};
    {1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1};{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1 ,0,0,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1 ,0,1,1,0,1,1,0,1,1,1,0,0};
    {1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0};{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1 ,0,0,1,0,0,0,0,1,1,0,0,0};
    和/或,and / or,
    其中,当N=24时,所述第五序列集合中的序列包括序列集合17中的部分或全部,所述序列集合17中的序列包括:Wherein, when N=24, the sequence in the fifth sequence set includes part or all of the sequence set 17, and the sequence in the sequence set 17 includes:
    {1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};
    {1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};
    {1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};
    {1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};
    {1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};
    {1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};
    {1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};
    {1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};
    {1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1};{1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1};
    {1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};
    {1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};
    {1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0};{1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0};
    {1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
    {1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};
    {1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};
    {1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};
    {1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1};{1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1};
    {1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};
    {1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};
    {1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};
    {1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};
    {1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};
    {1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};
    {1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};
    {1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0};{1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0};
    {1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1};{1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1};
    {1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};
    {1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1};{1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1};
    {1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};
    {1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}。{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}.
  9. 根据权利要求6-8中任一项所述的信号处理方法,其特征在于,所述接收承载在N个子载波上的第一信号,获取序列序列{x n}中的N个元素,包括: The signal processing method according to any one of claims 6-8, wherein the receiving the first signal carried on the N subcarriers and acquiring the N elements in the sequence sequence {x n } comprises:
    在连续的N个子载波上获取所述N个子载波上的第一信号,或者,在等间隔的N个子载波上获取所述N个子载波上的第一信号;Acquiring the first signal on the N subcarriers on consecutive N subcarriers, or acquiring the first signal on the N subcarriers on the N subcarriers that are equally spaced;
    获取序列{f n}中的N个元素,N为大于1的正整数,所述第一信号由所述序列{f n}映射至N个子载波上生成,f n为所述序列{f n}中的元素; Obtaining N elements in the sequence {f n }, N is a positive integer greater than 1, the first signal is generated by mapping the sequence {f n } onto N subcarriers, and f n is the sequence {f n The element in };
    对所述序列{f n}进行离散傅里叶反变换处理,获取序列{x n}中的N个元素。 An inverse discrete Fourier transform process is performed on the sequence {f n } to obtain N elements in the sequence {x n }.
  10. 一种基于序列的信号处理装置,其特征在于,包括:A sequence-based signal processing apparatus, comprising:
    处理单元,用于确定包括N个元素的序列{x n},生成第一信号,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为: x n=A·b n·j n,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100007
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;
    Processing means for determining comprises a sequence {x n} N elements, generating a first signal, N being a positive integer greater than 1, x n is an element of {x n} of the sequence, the sequence {x n } is a sequence satisfying a preset condition, the preset condition is: x n = A · b n · j n , n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100007
    The element b n =u·(1-2·s n ), u is a non-zero complex number, and the set of sequences {s n } consisting of the elements s n includes at least one of the sequences in the first sequence set or the first One of the equivalent sequences of the sequences in the sequence set;
    其中,当N=12时,所述第一序列集合中的序列包括序列集合1中的部分或全部,所述序列集合1中的序列包括:Wherein, when N=12, the sequence in the first sequence set includes part or all of the sequence set 1, and the sequence in the sequence set 1 includes:
    {1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0 };{1,0,0,0,0,0,0,1,0,1,0,1};
    {1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0 };{1,0,0,0,0,0,1,0,1,0,0,0};
    {1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1 };{1,0,0,0,0,1,0,1,0,0,0,1};
    {1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1 };{1,0,0,0,0,1,0,1,1,1,0,1};
    {1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1 };{1,0,0,0,0,1,1,0,1,1,1,0};
    {1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1 };{1,0,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0 };{1,0,0,1,0,0,0,1,0,0,1,1};
    {1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0 };{1,0,0,1,0,1,0,0,0,0,0,1};
    {1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1 };{1,0,0,1,0,1,0,1,1,1,1,1};
    {1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1 };{1,0,0,1,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1 };{1,0,0,1,1,0,0,0,0,0,1,0};
    {1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0 };{1,0,0,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0 };{1,0,0,1,1,1,0,1,0,1,1,1};
    {1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0 };{1,0,0,1,1,1,1,0,1,0,0,1};
    {1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1 };{1,0,0,1,1,1,1,1,0,1,1,0};
    {1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0 };{1,1,0,0,0,1,0,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1 };{1,1,0,0,0,1,0,1,1,1,1,1};
    {1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1 };{1,1,0,1,0,0,0,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1 };{1,1,0,1,0,0,1,1,1,0,1,1};
    {1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0 };{1,1,0,1,0,1,1,1,0,1,1,1};
    {1,1,0,1,0,1,1,1,1,1,0,1};和,{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,1,0,1,0,1,1,1,1,1,0,1}; and, {1,0,0,0,0,1,0,0,0,1,0 ,1};{1,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0 };{1,0,0,1,0,1,1,1,0,1,1,1};
    {1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1};和/或,{1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0 };{1,1,0,1,0,0,0,1,1,0,1,1}; and/or,
    当N=24时,所述第一序列集合中的序列包括序列集合2中的部分或全部,所述序列集合2中的序列包括:When N=24, the sequence in the first sequence set includes part or all of the sequence set 2, and the sequence in the sequence set 2 includes:
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
    {1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};
    {1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
    {1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1};
    {1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};
    {1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};
    {1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};
    {1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};{1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0};
    {1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};
    {1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};
    {1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};
    {1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
    {1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};{1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1};
    {1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
    {1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
    {1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
    {1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};
    {1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1};
    {1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
    {1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
    {1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};
    {1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};
    {1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};
    {1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};
    {1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
    {1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};
    {1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};
    {1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0};{1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0};
    {1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
    {1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
    {1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0};
    {1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};
    {1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1};{1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1};
    {1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0};
    {1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0};{1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0};
    {1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};
    {1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1};
    {1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
    {1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};
    {1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};
    {1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};
    {1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};
    {1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
    {1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};
    {1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};
    {1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};
    {1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
    {1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
    {1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};
    {1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
    {1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0};
    {1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};
    {1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};
    {1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};
    {1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};
    {1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
    {1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};
    {1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};
    {1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};
    {1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
    {1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
    {1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
    {1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
    {1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1};{1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1};
    {1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};
    {1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};
    {1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
    {1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
    {1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};
    {1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};
    {1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};{1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0};{1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0};
    {1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};
    {1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};和,{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1}; with,
    {1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
    {1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0};
    {1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};
    {1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};
    {1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
    {1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};
    {1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
    {1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1};{1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1};
    {1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1};
    {1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};
    {1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};
    {1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};
    {1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};
    {1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1};
    {1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};
    {1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0};
    {1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};
    {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};
    {1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};
    {1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0};
    {1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};
    {1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};
    {1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};
    {1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};
    {1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};
    {1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};
    {1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};
    {1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};
    {1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};
    {1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};
    {1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};
    {1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};
    {1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};
    {1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
    {1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};
    {1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
    {1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};
    {1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};
    {1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};
    {1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};
    {1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};
    {1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};
    {1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
    {1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};
    {1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};
    {1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};
    {1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};
    {1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};
    {1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};
    {1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0};和/或,{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0}; and / or,
    当N=36时,所述所述第一序列集合中的序列至少包括序列集合3中的部分或全部,所述序列集合3中的序列包括:When N=36, the sequence in the first sequence set includes at least part or all of the sequence set 3, and the sequence in the sequence set 3 includes:
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1 ,0,1,0,1,1,0,0,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0 ,1,0,1,1,0,0,0,1,1,0,1};
    {0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0 ,0,0,1,0,1,1,0,0,0,1,1};
    {0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0 ,0,1,1,0,1,0,1,1,1,0,1};
    {0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,0,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0 ,1,0,1,1,0,0,1,1,1,1,1};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,0,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0 ,0,1,0,1,1,0,0,1,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1 ,1,0,1,0,1,1,1,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0 ,1,0,1,0,1,1,1,0,0,1,1};
    {0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0 ,0,0,1,1,0,0,1,0,1,0,1};
    {0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1 ,0,0,1,0,1,1,1,1,0,0,1};
    {0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0 ,1,0,1,0,0,0,1,0,0,1,1};
    {0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0 ,1,1,1,1,0,1,1,0,1,0,1};
    {0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0 ,0,1,0,0,1,1,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0 ,0,1,1,1,1,1,0,1,0,1,1};
    {0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,0,1,0,1,1};
    {0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,1,0,0,0,1};
    {0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,1,0,0,0,1};
    {0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1 ,1,0,0,0,0,1,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1 ,0,0,0,1,0,0,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,1,0,0,0,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,0,0,1,1,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1 ,1,1,0,1,1,0,0,0,0,1,1};
    {0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1 ,1,1,0,0,0,1,1,1,1,0,1};
    {0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1 ,0,1,1,0,1,1,1,0,1,1,1};
    {0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1 ,1,1,0,0,1,1,1,1,1,0,1};
    {0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,0,0,1,0,1,0,0,1,1};
    {0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,0,0,1,1};
    {0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1 ,1,0,0,1,1,1,0,1,0,1,1};
    {0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,1,0,0,0,1};
    {0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1 ,0,0,1,0,0,0,1,1,0,0,1};
    {0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1 ,0,1,0,1,1,0,0,0,0,1,1};
    {0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0 ,0,1,1,0,1,1,1,1,1,0,1};
    {0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0 ,1,1,1,1,0,0,1,0,0,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0 ,1,1,1,1,0,1,1,0,1,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1};{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1 ,1,1,0,1,1,0,1,0,1,1,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1};{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0 ,1,1,1,1,1,1,0,0,1,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1};{0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0 ,0,1,1,1,0,1,1,1,1,1,1};
    {0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1};{0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0 ,0,0,1,0,0,0,0,1,1,0,1};
    {0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1 ,1,1,0,1,0,0,1,0,0,0,1};
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    {0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0};{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0 ,0,0,0,1,1,1,0,1,0,1,0};
    {0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0 ,1,1,0,0,0,1,1,0,0,0,0};
    {0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0};{0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,1,0,0,0};
    {0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1 ,1,1,0,1,0,1,0,1,0,0,0};
    {0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};{0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1 ,1,1,0,1,0,1,0,1,0,0,0};
    {0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,0,0,0,1,1,0};
    {0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,1,0,0,0,0,0,1,1,0};
    {0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0};{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1 ,1,1,1,1,0,0,1,0,1,1,0};
    {0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1 ,1,0,0,0,1,0,0,1,1,0,0};
    {0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0 ,1,1,1,0,0,0,0,0,1,0,0};
    {0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0};{0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1 ,0,0,1,1,0,1,1,1,1,1,0};
    {0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0};{0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1 ,0,1,1,0,1,1,0,1,0,0,0};
    {0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0};{0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1 ,0,1,1,1,0,0,1,0,1,1,0};
    {0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0};{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0 ,0,1,1,1,0,0,0,0,1,1,0};
    {0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,0,1,1,0,0,0,0};
    {0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0};{0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0 ,1,1,0,1,1,1,0,1,0,1,0};
    {0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0 ,0,1,0,1,1,0,0,0,1,0,0};
    {0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0 ,1,0,0,0,1,0,1,1,0,0,0};
    {0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1 ,1,1,1,1,0,0,1,1,0,0,0};
    {0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0 ,0,0,0,1,1,0,1,1,0,0,0};
    {0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};{0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0 ,1,1,0,1,0,1,1,1,1,1,0};
    {0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0 ,1,1,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,0,0,1,0,0};
    {0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1 ,1,0,0,1,1,1,0,0,1,0,0};
    {0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, ,0,0,1,0,1,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0};{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0 ,0,0,0,0,0,1,0,0,1,1,0};
    {0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0 ,1,0,0,1,1,0,0,0,0,0,0};
    {0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1 ,0,0,0,0,0,0,1,0,0,1,0};
    {0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,0,0,1,1,0};
    {0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1 ,1,0,0,0,0,1,0,1,1,0,0};
    {0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0};{0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1 ,0,1,0,1,1,1,1,1,1,0,0};
    {0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0};{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0 ,1,1,0,0,1,0,0,0,0,0,0};
    {0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0};{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1 ,0,0,1,0,0,1,0,0,0,0,0};
    {0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0};{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1 ,0,1,0,1,1,1,0,1,1,1,0};
    {0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0};{0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0 ,1,1,1,0,0,0,1,0,0,1,0};
    {0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0};{0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0 ,1,1,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};和,{0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,1,1,0,1,0}; and,
    {0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1};{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1 ,0,1,0,1,0,0,1,0,1,1,1};
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    {0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1};{0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0 ,0,0,1,1,1,0,0,0,1,0,1};
    {0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1};{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1 ,0,1,1,0,1,1,1,0,0,0,1};
    {0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1};{0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, ,0,1,0,0,0,1,1,1,0,1,1};
    {0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1};{0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, ,0,0,0,1,1,0,1,0,0,0,1};
    {0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1};{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1 ,1,0,1,1,1,0,0,1,0,1,1};
    {0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 ,1,1,0,1,1,1,1,1,0,0,1};
    {0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1};{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1 ,0,0,0,1,0,1,0,1,0,0,1};
    {0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1 ,0,1,0,1,0,0,1,1,0,0,1};
    {0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0 ,0,1,0,1,1,0,1,0,0,0,1};
    {0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ,0,1,1,1,0,1,0,1,1,0,1};
    {0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1};{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1 ,1,1,0,1,0,1,0,1,0,0,1};
    {0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0 ,1,1,1,0,0,0,1,1,1,1,1};
    {0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1 ,1,1,1,1,1,0,0,0,1,1,1};
    {0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,0,0,1,1,1,1};
    {0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1 ,0,1,0,0,1,1,0,1,1,1,1};
    {0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1};{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1 ,0,0,1,0,0,1,0,1,0,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1};{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1 ,1,0,1,0,1,1,1,1,0,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1};{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1 ,1,1,1,1,0,0,1,1,1,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1};{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1 ,0,1,0,0,1,0,0,1,0,0,1};
    {0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1};{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1 ,1,0,1,0,1,1,0,1,1,0,1};
    {0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1 ,1,0,1,1,0,0,0,1,1,0,1};
    {0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1};{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1 ,1,1,0,1,1,1,0,0,1,0,1};
    {0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1};{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0 ,1,1,0,1,1,1,1,1,1,1,1};
    {0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1 ,0,0,0,1,0,1,1,1,0,0,1};
    {0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1};{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,1,1,1,1,1,1};
    {0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1};{0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, ,1,0,1,1,0,0,1,0,1,1,1};
    {0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1 ,1,1,1,0,1,0,0,1,0,0,1};
    {0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1};{0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, ,0,1,0,1,0,0,1,0,0,1,1};
    {0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0};{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1 ,1,0,1,1,1,1,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1 ,1,1,1,0,0,1,1,1,0,1,0};
    {0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0};{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,1,0,1,0};
    {0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0};{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1 ,0,0,0,0,0,1,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1 ,0,1,0,1,1,0,0,1,0,0,0};
    {0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0};{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1 ,0,0,0,0,0,1,1,1,0,0,0};
    {0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1 ,0,0,1,0,0,1,0,1,1,1,0};
    {0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0};{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0 ,1,0,0,0,1,1,1,1,1,0,0};
    {0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0};{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0 ,1,1,0,0,0,0,0,0,0,1,0};
    {0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0};{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1 ,0,0,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0};{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1 ,1,1,0,1,1,1,1,0,1,1,0};
    {0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0};{0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1 ,1,1,1,1,1,0,0,1,1,0,0};
    {0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0};{0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0 ,0,1,1,1,0,1,0,1,1,0,0};
    {0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0};{0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 ,0,1,1,1,0,0,0,0,1,0,0};
    收发单元,用于发送所述第一信号。a transceiver unit, configured to send the first signal.
  11. 一种基于序列的信号处理装置,其特征在于,包括:A sequence-based signal processing apparatus, comprising:
    处理单元,用于确定包括N个元素的序列{x n},生成第一信号,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=y (n+Μ)mod Ν,其中,M∈{0,1,2,...,N-1},y n=A·b n·j n,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100008
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第三序列集合中的序列之一;
    Processing means for determining comprises a sequence {x n} N elements, generating a first signal, N being a positive integer greater than 1, x n is an element of {x n} of the sequence, the sequence {x n } is a sequence satisfying a preset condition, the preset condition is: x n = y (n + Μ) mod Ν , where M ∈ {0, 1, 2, ..., N-1}, y n =A·b n ·j n , the value of n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100008
    Collection of sequence elements b n = u · (1-2 · s n), u is a non-zero complex, composed of the elements s n {s n} comprising at least one of the sequences of the third set of sequences;
    收发单元,用于发送所述第一信号;a transceiver unit, configured to send the first signal;
    其中,当N=18时,所述第三序列集合中的序列包括序列集合14中的部分或全部,所述序列集合14中的序列包括:Wherein, when N=18, the sequence in the third sequence set includes part or all of the sequence set 14, and the sequence in the sequence set 14 includes:
    {1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0 ,1,1,0,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0};{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0 ,0,0,1,0,0,0,1,1,0,1,0,0};
    {1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0};{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1 ,0,1,1,1,0,0,1,1,1,1,0,0};
    {1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1 ,1,0,1,0,1,0,0,0,1,0,0,0};
    {1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1 ,0,0,0,0,0,1,0,0,0,1,1,1};
    {1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1};{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0 ,0,0,0,0,0,1,0,1,0,0,1,1};
    {1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1 ,1,0,1,0,0,0,0,1,0,0,1,0};
    {1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0 , 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1};
    {1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1};{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0 ,0,0,1,0,1,1,0,1,1,0,1,1};
    {1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0 ,1,0,0,1,0,1,0,0,0,1,1,0};
    {1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1};{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1 ,0,1,0,1,1,0,0,0,1,1,1,1};
    {1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0 ,1,1,1,1,0,1,1,0,1,0,1,1};
    {1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1 ,0,1,0,0,0,0,0,1,0,1,1,0};
    {1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0};{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1 ,1,1,1,1,0,0,0,1,1,0,1,0};
    {1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1};{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0 ,0,0,0,1,0,1,0,0,0,0,1,1};
    {1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1};{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0 ,0,1,1,1,1,1,0,1,0,1,1,1};
    {1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1};{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0 ,1,0,0,0,1,1,1,0,1,1,1,1};
    {1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0};{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1 ,0,1,0,0,0,1,1,1,1,0,1,0};
    {1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1 ,1,1,0,1,1,1,1,1,0,1,1,0};
    {1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0};{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0 ,0,0,1,0,1,1,0,1,0,1,1,0};
    {1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0 ,1,0,0,1,1,1,1,1,0,1,1,0};
    {1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0};{1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0};{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0}; {1,1,0,1,0,1 , 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0};
    {1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0};{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0 ,0,1,0,0,1,0,0,1,0,1,0,0};
    {1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0};{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0 ,1,0,1,1,0,0,0,1,1,1,0,0};
    {1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0 ,0,0,0,0,1,1,1,1,0,1,0,1};
    {1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0};{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0 ,0,1,0,1,1,1,1,1,1,0,0,0};
    {1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1};{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0 ,0,1,0,0,0,1,0,1,0,1,1,1};
    {1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1 ,1,1,1,1,0,1,0,0,1,1,0,1};
    {1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1};{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0 ,1,0,1,1,1,1,0,0,1,1,0,1};
    {1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1 ,1,0,0,1,1,0,0,0,0,1,0,1};
    {1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0};{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0 ,0,0,1,1,1,0,0,0,1,1,0,0};
    {1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1 ,0,1,1,1,1,0,0,1,0,0,0,0};
    {1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0};{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0 ,0,1,0,1,0,1,1,1,1,1,1,0};
    {1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1};{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1 ,1,0,1,0,0,0,0,0,1,0,0,1};
    {1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0 ,1,0,1,1,1,0,1,0,1,1,1,0};
    {1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1};{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1 ,1,1,1,0,1,1,0,1,0,1,1,1};
    {1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0 ,0,0,1,1,0,1,0,1,1,1,1,1};
    {1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0 , 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0};
    {1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1};{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0 ,1,0,0,1,0,0,0,0,1,0,0,1};
    {1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1};{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0 ,0,1,1,1,1,1,0,0,0,1,0,1};
    {1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1};{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1 ,0,0,1,0,1,0,0,0,1,0,1,1};
    {1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1 ,0,1,1,0,1,0,1,1,1,1,1,0};
    {1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0};{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1 ,0,1,1,1,1,0,0,0,0,1,1,0};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0 ,1,0,0,1,0,0,0,1,1,1,1,0};
    {1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0};{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1 ,0,1,1,1,0,0,0,0,1,0,1,0};
    {1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0};{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0 ,0,1,1,0,1,0,1,1,0,1,0,0};
    {1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1 ,0,0,1,0,1,0,0,0,0,1,1,1};
    {1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1 ,0,1,0,0,1,1,1,1,0,1,1,1};
    {1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1};{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1 ,1,1,0,0,1,0,0,0,0,0,0,1};
    {1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0};{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1 ,0,1,0,1,1,0,0,0,0,1,0,0};
    {1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0};{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0 ,1,0,1,0,0,0,1,0,0,1,0,0};
    {1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0};{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1 ,1,1,1,0,1,0,1,0,1,1,1,0};
    {1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0 ,1,0,0,1,0,1,1,0,0,0,0,0};
    {1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0}。{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1 , 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0}.
  12. 一种基于序列的信号处理装置,其特征在于,包括:A sequence-based signal processing apparatus, comprising:
    处理单元,用于确定包括N个元素的序列{x n},生成第一信号,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=y (n+Μ)mod Ν,其中,M∈{0,1,2,...,N-1},y n=A·b n·j n mod 2,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100009
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第五序列集合中的序列之一;
    Processing means for determining comprises a sequence {x n} N elements, generating a first signal, N being a positive integer greater than 1, x n is an element of {x n} of the sequence, the sequence {x n } is a sequence satisfying a preset condition, the preset condition is: x n = y (n + Μ) mod Ν , where M ∈ {0, 1, 2, ..., N-1}, y n =A·b n ·j n mod 2 , the value of n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100009
    Collection of sequence elements b n = u · (1-2 · s n), u is a plurality of non-zero, the element s n {s n} consisting of at least one sequence comprising a fifth set of sequences;
    收发单元,用于发送所述第一信号;a transceiver unit, configured to send the first signal;
    其中,当N=12时,所述第五序列集合中的序列包括序列集合15中的部分或全部, 所述序列集合15中的序列包括:Wherein, when N=12, the sequence in the fifth sequence set includes part or all of the sequence set 15, and the sequence in the sequence set 15 includes:
    {1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0};{1,0,1,0,1,1,0,1,1,0,1,0};{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0 };{1,0,1,0,1,1,0,1,1,0,1,0};
    {1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0};{1,0,1,1,0,0,1,0,1,0,0,1};{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0 };{1,0,1,1,0,0,1,0,1,0,0,1};
    {1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0};{1,0,1,1,0,1,0,1,1,0,1,1};{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0 };{1,0,1,1,0,1,0,1,1,0,1,1};
    {1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1};{1,0,1,0,1,1,0,0,1,0,0,1};{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1 };{1,0,1,0,1,1,0,0,1,0,0,1};
    {1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1};{1,0,1,1,0,1,0,1,1,1,0,1};{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1 };{1,0,1,1,0,1,0,1,1,1,0,1};
    {1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0};{1,0,1,0,1,1,0,1,1,0,1,1};{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0 };{1,0,1,0,1,1,0,1,1,0,1,1};
    {1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,1,0,1,1,0,0,0};{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0 };{1,0,1,1,0,1,0,1,1,0,0,0};
    {1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0};{1,0,1,1,0,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0 };{1,0,1,1,0,1,0,1,0,0,0,1};
    {1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1};{1,0,1,1,0,0,1,1,1,0,0,0};{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1 };{1,0,1,1,0,0,1,1,1,0,0,0};
    {1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1};{1,0,1,1,0,1,1,1,1,0,0,1};{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1 };{1,0,1,1,0,1,1,1,1,0,0,1};
    和/或,and / or,
    其中,当N=18时,所述第五序列集合中的序列包括序列集合16中的部分或全部,所述序列集合16中的序列包括:Wherein, when N=18, the sequence in the fifth sequence set includes part or all of the sequence set 16, and the sequence in the sequence set 16 includes:
    {1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1};{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0 ,0,0,0,0,1,1,0,0,1,0,0,1};
    {1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0};{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1 ,1,0,1,0,0,1,1,1,0,1,0,0};
    {1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0 ,0,1,1,1,1,1,0,0,0,0,1,1};
    {1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1 ,0,1,1,0,1,1,0,1,1,1,1,0};
    {1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0};{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1 ,1,0,0,1,1,1,1,1,0,1,0,0};
    {1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0};{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0 ,0,1,1,0,1,1,1,1,0,1,1,0};
    {1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0};{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1 ,0,0,1,0,1,0,1,0,0,1,0,0};
    {1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0};{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0 ,0,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1};{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0 ,1,0,1,0,0,0,1,1,0,1,0,1};
    {1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0};{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0 ,1,0,0,1,0,0,1,0,0,1,0,0};
    {1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0};{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1 ,1,0,1,1,0,1,0,1,1,1,0,0};
    {1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0};{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1 ,0,1,1,0,0,0,1,0,0,1,0,0};
    {1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1};{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1 ,0,0,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1 ,0,1,1,0,1,1,0,1,1,1,0,0};
    {1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0};{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1 ,0,0,1,0,0,0,0,1,1,0,0,0};
    和/或,and / or,
    其中,当N=24时,所述第五序列集合中的序列包括序列集合17中的部分或全部,所述序列集合17中的序列包括:Wherein, when N=24, the sequence in the fifth sequence set includes part or all of the sequence set 17, and the sequence in the sequence set 17 includes:
    {1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};
    {1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};
    {1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};
    {1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};
    {1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};
    {1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};
    {1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};
    {1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};
    {1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1};{1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1};
    {1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};
    {1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};
    {1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0};{1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0};
    {1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
    {1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};
    {1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};
    {1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};
    {1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1};{1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1};
    {1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};
    {1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};
    {1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};
    {1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};
    {1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};
    {1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};
    {1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};
    {1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0};{1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0};
    {1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1};{1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1};
    {1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};
    {1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1};{1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1};
    {1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};
    {1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}。{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}.
  13. 根据权利要求10-12中任一项所述的信号处理装置,其特征在于,所述处理单元还用于:对所述序列{x n}中的N个元素进行离散傅里叶变换处理,得到序列{f n};将所述序列{f n}中的N个元素分别映射至连续的N个子载波上,得到包含N个元素的频域信号;或者,将所述序列{f n}中的N个元素分别映射至等间隔的N个子载波上,得到包含N个元素的频域信号;生成第一信号; The signal processing apparatus according to any one of claims 10 to 12, wherein the processing unit is further configured to: perform discrete Fourier transform processing on the N elements in the sequence {x n }, Obtaining a sequence {f n }; mapping the N elements in the sequence {f n } to successive N subcarriers respectively, to obtain a frequency domain signal comprising N elements; or, the sequence {f n } The N elements in the mapping are respectively mapped to N subcarriers of equal intervals to obtain a frequency domain signal including N elements; generating a first signal;
    所述收发单元还用于:通过射频发送所述第一信号。The transceiver unit is further configured to: send the first signal by using a radio frequency.
  14. 根据权利要求10-13中任一项所述的信号处理装置,其特征在于,所述处理单元还用于:The signal processing device according to any one of claims 10 to 13, wherein the processing unit is further configured to:
    在所述对所述序列{x n}中的N个元素进行离散傅里叶变换处理之前,对所述序列{x n}中的N个元素进行滤波;或者,在所述对所述序列{x n}中的N个元素进行离散傅里叶变换处理之后,对所述序列{x n}中的N个元素进行滤波。 Before the pair {x n} of the N elements of the sequence of discrete Fourier transform processing, {x n} of the N elements of the sequence filtering; or, in the sequence of the After the N elements in {x n } are subjected to discrete Fourier transform processing, the N elements in the sequence {x n } are filtered.
  15. 一种基于序列的信号处理装置,其特征在于,包括:A sequence-based signal processing apparatus, comprising:
    收发单元,用于接收承载在N个子载波上的第一信号;a transceiver unit, configured to receive a first signal carried on the N subcarriers;
    处理单元,用于获取序列{x n}中的N个元素,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=A·b n·j n,n 的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100010
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;根据所述序列{x n}中的N个元素对所述第一信号进行处理;
    Processing unit, configured to obtain the sequence {x n} of N elements, N being a positive integer greater than 1, x n is an element of {x n} of the sequence, the sequence {x n} is satisfied preset a sequence of conditions, the preset condition is: x n = A · b n · j n , the value of n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100010
    The element b n =u·(1-2·s n ), u is a non-zero complex number, and the set of sequences {s n } consisting of the elements s n includes at least one of the sequences in the first sequence set or the first One of the equivalence sequences of the sequences in the sequence set; processing the first signal according to N elements in the sequence {x n };
    其中,当N=12时,所述第一序列集合中的序列包括序列集合1中的部分或全部,所述序列集合1中的序列包括:Wherein, when N=12, the sequence in the first sequence set includes part or all of the sequence set 1, and the sequence in the sequence set 1 includes:
    {1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0 };{1,0,0,0,0,0,0,1,0,1,0,1};
    {1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0 };{1,0,0,0,0,0,1,0,1,0,0,0};
    {1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1 };{1,0,0,0,0,1,0,1,0,0,0,1};
    {1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1 };{1,0,0,0,0,1,0,1,1,1,0,1};
    {1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1 };{1,0,0,0,0,1,1,0,1,1,1,0};
    {1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1 };{1,0,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0 };{1,0,0,1,0,0,0,1,0,0,1,1};
    {1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0 };{1,0,0,1,0,1,0,0,0,0,0,1};
    {1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1 };{1,0,0,1,0,1,0,1,1,1,1,1};
    {1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1 };{1,0,0,1,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1 };{1,0,0,1,1,0,0,0,0,0,1,0};
    {1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0 };{1,0,0,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0 };{1,0,0,1,1,1,0,1,0,1,1,1};
    {1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0 };{1,0,0,1,1,1,1,0,1,0,0,1};
    {1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1 };{1,0,0,1,1,1,1,1,0,1,1,0};
    {1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0 };{1,1,0,0,0,1,0,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1 };{1,1,0,0,0,1,0,1,1,1,1,1};
    {1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1 };{1,1,0,1,0,0,0,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1 };{1,1,0,1,0,0,1,1,1,0,1,1};
    {1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0 };{1,1,0,1,0,1,1,1,0,1,1,1};
    {1,1,0,1,0,1,1,1,1,1,0,1};和,{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,1,0,1,0,1,1,1,1,1,0,1}; and, {1,0,0,0,0,1,0,0,0,1,0 ,1};{1,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0 };{1,0,0,1,0,1,1,1,0,1,1,1};
    {1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1};和/或,{1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0 };{1,1,0,1,0,0,0,1,1,0,1,1}; and/or,
    当N=24时,所述第一序列集合中的序列包括序列集合2中的部分或全部,所述序列集合2中的序列包括:When N=24, the sequence in the first sequence set includes part or all of the sequence set 2, and the sequence in the sequence set 2 includes:
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
    {1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};
    {1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
    {1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1};
    {1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};
    {1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};
    {1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};
    {1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};{1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0};
    {1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};
    {1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};
    {1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};
    {1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};{1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
    {1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,1,0,1};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};{1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1};
    {1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
    {1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
    {1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
    {1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};{1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1};
    {1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1};
    {1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};{1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
    {1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
    {1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1};
    {1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1};
    {1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};{1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0};
    {1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0};
    {1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
    {1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,1};
    {1,0,0,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0};
    {1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0};
    {1,0,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0};{1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0};
    {1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
    {1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
    {1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0};
    {1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1};
    {1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,1};{1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1};
    {1,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0};
    {1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0};{1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0};
    {1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1};
    {1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1};
    {1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
    {1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0};
    {1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};{1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1};
    {1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};{1,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0};
    {1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};{1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1};
    {1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
    {1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};{1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0};
    {1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0};
    {1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};{1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1};
    {1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
    {1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};{1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1};
    {1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
    {1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0};
    {1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1};
    {1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
    {1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0};
    {1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1};
    {1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1};
    {1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};{1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1};
    {1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,1};
    {1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};{1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
    {1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};{1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0};
    {1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};{1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0};
    {1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0};
    {1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1};
    {1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
    {1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
    {1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
    {1,1,0,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1};{1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1};
    {1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1};
    {1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1};
    {1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
    {1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,1};
    {1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};{1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0};
    {1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};{1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0};
    {1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};{1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0};{1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0};
    {1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};
    {1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1};和,{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1}; with,
    {1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1};
    {1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
    {1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0};
    {1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1};
    {1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1};
    {1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0};
    {1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,1,1,0};{1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0};
    {1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};{1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,1};
    {1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};{1,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1};
    {1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};{1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0};
    {1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
    {1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1};
    {1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
    {1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1};{1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1};
    {1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1};
    {1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1};
    {1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0};
    {1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1};
    {1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1,1};
    {1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0};
    {1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1};
    {1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1};
    {1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1};
    {1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};
    {1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};{1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0};
    {1,0,0,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0};
    {1,0,0,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0};
    {1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1};
    {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0};
    {1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};{1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0};
    {1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0};
    {1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0};
    {1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1};
    {1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0};
    {1,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};{1,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};{1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0};
    {1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};
    {1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};
    {1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
    {1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};
    {1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};
    {1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};
    {1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};
    {1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};
    {1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};
    {1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};
    {1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
    {1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};
    {1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
    {1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};
    {1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};
    {1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};
    {1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};
    {1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};
    {1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};
    {1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};
    {1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
    {1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
    {1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};
    {1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};
    {1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};
    {1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};
    {1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};
    {1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};
    {1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};
    {1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0};和/或,{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0}; and / or,
    当N=36时,所述第一序列集合中的序列至少包括序列集合3中的部分或全部,所述序列集合3中的序列包括:When N=36, the sequence in the first sequence set includes at least part or all of the sequence set 3, and the sequence in the sequence set 3 includes:
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1 ,0,1,0,1,1,0,0,1,1,0,1};
    {0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0 ,1,0,1,1,0,0,0,1,1,0,1};
    {0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0 ,0,0,1,0,1,1,0,0,0,1,1};
    {0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0 ,0,1,1,0,1,0,1,1,1,0,1};
    {0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,0,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0 ,1,0,1,1,0,0,1,1,1,1,1};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,0,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0 ,0,1,0,1,1,0,0,1,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1 ,1,0,1,0,1,1,1,0,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0 ,1,0,1,0,1,1,1,0,0,1,1};
    {0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0 ,0,0,1,1,0,0,1,0,1,0,1};
    {0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1 ,0,0,1,0,1,1,1,1,0,0,1};
    {0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0 ,1,0,1,0,0,0,1,0,0,1,1};
    {0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0 ,1,1,1,1,0,1,1,0,1,0,1};
    {0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0 ,0,1,0,0,1,1,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0 ,0,1,1,1,1,1,0,1,0,1,1};
    {0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,0,1,0,1,1};
    {0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,1,0,0,0,1};
    {0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,1,0,0,0,1};
    {0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1 ,1,0,0,0,0,1,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1 ,0,0,0,1,0,0,0,1,0,0,1};
    {0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,1,0,0,0,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,0,0,1,1,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1 ,1,1,0,1,1,0,0,0,0,1,1};
    {0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1 ,1,1,0,0,0,1,1,1,1,0,1};
    {0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1 ,0,1,1,0,1,1,1,0,1,1,1};
    {0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1 ,1,1,0,0,1,1,1,1,1,0,1};
    {0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,0,0,1,0,1,0,0,1,1};
    {0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,0,0,1,1};
    {0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1 ,1,0,0,1,1,1,0,1,0,1,1};
    {0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,1,0,0,0,1};
    {0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1 ,0,0,1,0,0,0,1,1,0,0,1};
    {0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1 ,0,1,0,1,1,0,0,0,0,1,1};
    {0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0 ,0,1,1,0,1,1,1,1,1,0,1};
    {0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0 ,1,1,1,1,0,0,1,0,0,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0 ,1,1,1,1,0,1,1,0,1,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1};{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1 ,1,1,0,1,1,0,1,0,1,1,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1};{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0 ,1,1,1,1,1,1,0,0,1,0,1};
    {0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1};{0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0 ,0,1,1,1,0,1,1,1,1,1,1};
    {0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1};{0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0 ,0,0,1,0,0,0,0,1,1,0,1};
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    {0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0};{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0 ,1,1,0,1,1,0,0,0,0,1,0};
    {0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0};{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0 ,0,0,0,1,1,1,0,1,0,1,0};
    {0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0 ,1,1,0,0,0,1,1,0,0,0,0};
    {0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0};{0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,1,0,0,0};
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    {0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0};{0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1 ,1,1,0,1,0,1,0,1,0,0,0};
    {0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,0,0,0,1,1,0};
    {0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,1,0,0,0,0,0,1,1,0};
    {0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0};{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1 ,1,1,1,1,0,0,1,0,1,1,0};
    {0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1 ,1,0,0,0,1,0,0,1,1,0,0};
    {0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0 ,1,1,1,0,0,0,0,0,1,0,0};
    {0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0};{0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,1,1 ,0,0,1,1,0,1,1,1,1,1,0};
    {0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0};{0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,1 ,0,1,1,0,1,1,0,1,0,0,0};
    {0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0};{0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1 ,0,1,1,1,0,0,1,0,1,1,0};
    {0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0};{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0 ,0,1,1,1,0,0,0,0,1,1,0};
    {0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,0,1,1,0,0,0,0};
    {0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0};{0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0 ,1,1,0,1,1,1,0,1,0,1,0};
    {0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0 ,0,1,0,1,1,0,0,0,1,0,0};
    {0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0 ,1,0,0,0,1,0,1,1,0,0,0};
    {0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1 ,1,1,1,1,0,0,1,1,0,0,0};
    {0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0 ,0,0,0,1,1,0,1,1,0,0,0};
    {0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};{0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0 ,1,1,0,1,0,1,1,1,1,1,0};
    {0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0 ,1,1,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,0,0,1,0,0};
    {0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1 ,1,0,0,1,1,1,0,0,1,0,0};
    {0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, ,0,0,1,0,1,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0};{0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0 ,0,0,0,0,0,1,0,0,1,1,0};
    {0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0 ,1,0,0,1,1,0,0,0,0,0,0};
    {0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1 ,0,0,0,0,0,0,1,0,0,1,0};
    {0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,0,0,1,1,0};
    {0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1 ,1,0,0,0,0,1,0,1,1,0,0};
    {0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,0};{0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1 ,0,1,0,1,1,1,1,1,1,0,0};
    {0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0};{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0 ,1,1,0,0,1,0,0,0,0,0,0};
    {0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0};{0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1 ,0,0,1,0,0,1,0,0,0,0,0};
    {0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0};{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1 ,0,1,0,1,1,1,0,1,1,1,0};
    {0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0};{0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0 ,1,1,1,0,0,0,1,0,0,1,0};
    {0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0};{0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0 ,1,1,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};和,{0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,1,1,0,1,0}; and,
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    {0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1 ,1,0,1,1,1,0,1,1,1,1,1};
    {0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1};{0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0 ,0,0,1,1,1,0,0,0,1,0,1};
    {0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1};{0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1 ,0,1,1,0,1,1,1,0,0,0,1};
    {0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1};{0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, ,0,1,0,0,0,1,1,1,0,1,1};
    {0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1};{0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, ,0,0,0,1,1,0,1,0,0,0,1};
    {0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1};{0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1,0,1 ,1,0,1,1,1,0,0,1,0,1,1};
    {0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 ,1,1,0,1,1,1,1,1,0,0,1};
    {0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1};{0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,0,1 ,0,0,0,1,0,1,0,1,0,0,1};
    {0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1 ,0,1,0,1,0,0,1,1,0,0,1};
    {0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0 ,0,1,0,1,1,0,1,0,0,0,1};
    {0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ,0,1,1,1,0,1,0,1,1,0,1};
    {0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1};{0,0,0,0,1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,1 ,1,1,0,1,0,1,0,1,0,0,1};
    {0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0 ,1,1,1,0,0,0,1,1,1,1,1};
    {0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1 ,1,1,1,1,1,0,0,0,1,1,1};
    {0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,0,0,1,1,1,1};
    {0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1 ,0,1,0,0,1,1,0,1,1,1,1};
    {0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1};{0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,1 ,0,0,1,0,0,1,0,1,0,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1};{0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1 ,1,0,1,0,1,1,1,1,0,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,1,1,1,0,1};{0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1 ,1,1,1,1,0,0,1,1,1,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1};{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1 ,0,1,0,0,1,0,0,1,0,0,1};
    {0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1};{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1 ,1,0,1,0,1,1,0,1,1,0,1};
    {0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1 ,1,0,1,1,0,0,0,1,1,0,1};
    {0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,1};{0,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1 ,1,1,0,1,1,1,0,0,1,0,1};
    {0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1};{0,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0 ,1,1,0,1,1,1,1,1,1,1,1};
    {0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1 ,0,0,0,1,0,1,1,1,0,0,1};
    {0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,1};{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,1,1,1,1,1,1};
    {0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,1};{0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, ,1,0,1,1,0,0,1,0,1,1,1};
    {0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1 ,1,1,1,0,1,0,0,1,0,0,1};
    {0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1};{0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, ,0,1,0,1,0,0,1,0,0,1,1};
    {0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0};{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1 ,1,0,1,1,1,1,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0};{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1 ,1,1,1,0,0,1,1,1,0,1,0};
    {0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0};{0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,1,0,1,0};
    {0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0};{0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1,0,1 ,0,0,0,0,0,1,0,1,1,0,0};
    {0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1 ,0,1,0,1,1,0,0,1,0,0,0};
    {0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0};{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1 ,0,0,0,0,0,1,1,1,0,0,0};
    {0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1 ,0,0,1,0,0,1,0,1,1,1,0};
    {0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0};{0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0 ,1,0,0,0,1,1,1,1,1,0,0};
    {0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0};{0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0 ,1,1,0,0,0,0,0,0,0,1,0};
    {0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0};{0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,1 ,0,0,1,0,0,1,1,1,1,0,0};
    {0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,1,0};{0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1 ,1,1,0,1,1,1,1,0,1,1,0};
    {0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0};{0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1 ,1,1,1,1,1,0,0,1,1,0,0};
    {0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0};{0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0 ,0,1,1,1,0,1,0,1,1,0,0};
    {0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0}。{0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 , 0,1,1,1,0,0,0,0,1,0,0}.
  16. 一种基于序列的信号处理装置,其特征在于,包括:A sequence-based signal processing apparatus, comprising:
    收发单元,用于接收承载在N个子载波上的第一信号;a transceiver unit, configured to receive a first signal carried on the N subcarriers;
    处理单元,用于获取序列{x n}中的N个元素,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=y (n+Μ)mod Ν,其中,M∈{0,1,2,...,N-1},y n=A·b n·j n,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100011
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第三序列集合中的序列之一;根据所述序列{x n}中的N个元素对所述第一信号进行处理;
    Processing unit, configured to obtain the sequence {x n} of N elements, N being a positive integer greater than 1, x n is an element of {x n} of the sequence, the sequence {x n} is satisfied preset a sequence of conditions, the preset condition is: x n = y (n + Μ) mod Ν , where M ∈ {0, 1, 2, ..., N-1}, y n = A · b n · j n , n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100011
    The element b n =u·(1-2·s n ), u is a non-zero complex number, and the set of sequences {s n } consisting of the elements s n includes at least one of the sequences in the third sequence set; N elements in {x n } process the first signal;
    其中,当N=18时,所述第三序列集合中的序列包括序列集合14中的部分或全部,所述序列集合14中的序列包括:Wherein, when N=18, the sequence in the third sequence set includes part or all of the sequence set 14, and the sequence in the sequence set 14 includes:
    {1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0 ,1,1,0,0,0,0,0,0,0,1,0,1};
    {1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0};{1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1};{1,1,1,0,1,0 ,0,0,1,0,0,0,1,1,0,1,0,0};
    {1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0};{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,0,1 ,0,1,1,1,0,0,1,1,1,1,0,0};
    {1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,0,0,1 ,1,0,1,0,1,0,0,0,1,0,0,0};
    {1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,1,1,0,1 ,0,0,0,0,0,1,0,0,0,1,1,1};
    {1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1};{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,0,0 ,0,0,0,0,0,1,0,1,0,0,1,1};
    {1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};{1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,1,1,1};{1,0,1,1,1,1 ,1,0,1,0,0,0,0,1,0,0,1,0};
    {1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,1,0,1,0,0 , 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1};
    {1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1};{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0};{1,0,0,0,0,0 ,0,0,1,0,1,1,0,1,1,0,1,1};
    {1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1};{1,1,0,0,0,0 ,1,0,0,1,0,1,0,0,0,1,1,0};
    {1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1};{1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0};{1,0,0,0,1,1 ,0,1,0,1,1,0,0,0,1,1,1,1};
    {1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1};{1,0,0,0,0,0 ,1,1,1,1,0,1,1,0,1,0,1,1};
    {1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,0,0,1 ,0,1,0,0,0,0,0,1,0,1,1,0};
    {1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0};{1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0};{1,1,0,1,0,1 ,1,1,1,1,0,0,0,1,1,0,1,0};
    {1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1};{1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,0 ,0,0,0,1,0,1,0,0,0,0,1,1};
    {1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1};{1,0,0,1,0,1,1,1,1,0,1,1,1,1,1,0,1,0};{1,0,1,1,0,0 ,0,1,1,1,1,1,0,1,0,1,1,1};
    {1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,1};{1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,1};{1,1,1,0,1,0 ,1,0,0,0,1,1,1,0,1,1,1,1};
    {1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,0,1,0};{1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1};{1,0,0,0,0,1 ,0,1,0,0,0,1,1,1,1,0,1,0};
    {1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1};{1,0,0,1,0,1 ,1,1,0,1,1,1,1,1,0,1,1,0};
    {1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,1,1,0};{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,0,0,0 ,0,0,1,0,1,1,0,1,0,1,1,0};
    {1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0};{1,0,0,0,1,0 ,1,0,0,1,1,1,1,1,0,1,1,0};
    {1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0};{1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0};{1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,1,1,0}; {1,1,0,1,0,1 , 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0};
    {1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0};{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,0,0,0,0,0 ,0,1,0,0,1,0,0,1,0,1,0,0};
    {1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0};{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0 ,1,0,1,1,0,0,0,1,1,1,0,0};
    {1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,1,1,1,0,0 ,0,0,0,0,1,1,1,1,0,1,0,1};
    {1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0,0,1,0,1,1,1,1,1,1,0,0,0};{1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1};{1,0,1,0,0,0 ,0,1,0,1,1,1,1,1,1,0,0,0};
    {1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,1};{1,1,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0};{1,1,1,1,0,0 ,0,1,0,0,0,1,0,1,0,1,1,1};
    {1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1};{1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1};{1,0,0,1,1,1 ,1,1,1,1,0,1,0,0,1,1,0,1};
    {1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1};{1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,1};{1,0,0,0,0,0 ,1,0,1,1,1,1,0,0,1,1,0,1};
    {1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,0,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,0,0,1 ,1,0,0,1,1,0,0,0,0,1,0,1};
    {1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0};{1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,0 ,0,0,1,1,1,0,0,0,1,1,0,0};
    {1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};{1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0};{1,0,1,1,0,1 ,0,1,1,1,1,0,0,1,0,0,0,0};
    {1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,1,1,0};{1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0};{1,1,1,0,0,0 ,0,1,0,1,0,1,1,1,1,1,1,0};
    {1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1};{1,0,0,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0};{1,0,0,0,0,1 ,1,0,1,0,0,0,0,0,1,0,0,1};
    {1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1};{1,0,0,0,0,0 ,1,0,1,1,1,0,1,0,1,1,1,0};
    {1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1};{1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,1,1 ,1,1,1,0,1,1,0,1,0,1,1,1};
    {1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,1,1};{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,1,1,0,1,0 ,0,0,1,1,0,1,0,1,1,1,1,1};
    {1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1};{1,0,0,0,1,0 , 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0};
    {1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1};{1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,0,0,0 ,1,0,0,1,0,0,0,0,1,0,0,1};
    {1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1};{1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1};{1,0,0,1,0,0 ,0,1,1,1,1,1,0,0,0,1,0,1};
    {1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1};{1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1};{1,1,1,1,1,1 ,0,0,1,0,1,0,0,0,1,0,1,1};
    {1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,1,1,0};{1,0,0,0,0,1 ,0,1,1,0,1,0,1,1,1,1,1,0};
    {1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0};{1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0};{1,0,0,1,0,1 ,0,1,1,1,1,0,0,0,0,1,1,0};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0};{1,1,0,0,1,0 ,1,0,0,1,0,0,0,1,1,1,1,0};
    {1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0};{1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0};{1,0,0,0,0,1 ,0,1,1,1,0,0,0,0,1,0,1,0};
    {1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0};{1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1};{1,0,0,0,0,0 ,0,1,1,0,1,0,1,1,0,1,0,0};
    {1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,0,1};{1,0,1,1,1,1 ,0,0,1,0,1,0,0,0,0,1,1,1};
    {1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1};{1,1,1,0,0,1 ,0,1,0,0,1,1,1,1,0,1,1,1};
    {1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1};{1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1};{1,0,0,1,1,1 ,1,1,0,0,1,0,0,0,0,0,0,1};
    {1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0};{1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0};{1,1,1,0,0,1 ,0,1,0,1,1,0,0,0,0,1,0,0};
    {1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0};{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0 ,1,0,1,0,0,0,1,0,0,1,0,0};
    {1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0};{1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0};{1,1,1,0,0,1 ,1,1,1,0,1,0,1,0,1,1,1,0};
    {1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0};{1,0,1,1,1,0 ,1,0,0,1,0,1,1,0,0,0,0,0};
    {1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0}。{1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0};{1,1,0,1,0,1 , 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0}.
  17. 一种基于序列的信号处理装置,其特征在于,包括:A sequence-based signal processing apparatus, comprising:
    收发单元,用于接收承载在N个子载波上的第一信号;a transceiver unit, configured to receive a first signal carried on the N subcarriers;
    处理单元,用于获取序列{x n}中的N个元素,N为大于1的正整数,x n为所述序列{x n}中的元素,所述序列{x n}为满足预设条件的序列,所述预设条件为:x n=y (n+Μ)mod Ν,其中,M∈{0,1,2,...,N-1,}y n=A·b n·j n mod 2,n的取值为0至N-1,A为非零复数,
    Figure PCTCN2018116011-appb-100012
    元素b n=u·(1-2·s n),u为非零复数,由元素s n组成的序列{s n}的集合至少包括第五序列集合中的序列之一;根据所述序列{x n}中的N个元素对所述第一信号进行处理;
    Processing unit, configured to obtain the sequence {x n} of N elements, N being a positive integer greater than 1, x n is an element of {x n} of the sequence, the sequence {x n} is satisfied preset a sequence of conditions, the preset condition is: x n = y (n + Μ) mod Ν , where M ∈ {0, 1, 2, ..., N-1,} y n = A·b n · j n mod 2 , the value of n is 0 to N-1, and A is a non-zero complex number.
    Figure PCTCN2018116011-appb-100012
    Element b n = u · (1-2 · s n), u is a complex non-zero, set by a sequence of elements s n {s n} consisting of at least one sequence comprising a fifth set of sequences; according to the sequence N elements in {x n } process the first signal;
    其中,当N=12时,所述第五序列集合中的序列包括序列集合15中的部分或全部, 所述序列集合15中的序列包括:Wherein, when N=12, the sequence in the fifth sequence set includes part or all of the sequence set 15, and the sequence in the sequence set 15 includes:
    {1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0};{1,0,1,0,1,1,0,1,1,0,1,0};{1,0,1,1,0,1,1,0,1,0,0,0};{1,0,1,0,0,1,1,1,0,0,1,0 };{1,0,1,0,1,1,0,1,1,0,1,0};
    {1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0};{1,0,1,1,0,0,1,0,1,0,0,1};{1,0,1,1,0,0,0,1,1,0,1,1};{1,0,1,0,0,1,0,0,1,0,1,0 };{1,0,1,1,0,0,1,0,1,0,0,1};
    {1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0};{1,0,1,1,0,1,0,1,1,0,1,1};{1,0,1,1,0,0,0,1,0,0,0,1};{1,0,1,1,0,1,1,1,0,1,1,0 };{1,0,1,1,0,1,0,1,1,0,1,1};
    {1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1};{1,0,1,0,1,1,0,0,1,0,0,1};{1,0,1,1,0,1,0,0,0,1,0,1};{1,0,1,0,1,0,1,1,0,0,0,1 };{1,0,1,0,1,1,0,0,1,0,0,1};
    {1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1};{1,0,1,1,0,1,0,1,1,1,0,1};{1,0,1,0,0,0,1,0,0,0,0,0};{1,1,1,1,0,1,1,1,0,1,0,1 };{1,0,1,1,0,1,0,1,1,1,0,1};
    {1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0};{1,0,1,0,1,1,0,1,1,0,1,1};{1,0,1,0,1,1,1,0,1,1,0,1};{1,0,1,0,0,1,0,0,1,0,0,0 };{1,0,1,0,1,1,0,1,1,0,1,1};
    {1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,1,0,1,1,0,0,0};{1,0,1,0,0,1,0,1,0,0,1,1};{1,0,1,0,0,1,0,1,1,1,0,0 };{1,0,1,1,0,1,0,1,1,0,0,0};
    {1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0};{1,0,1,1,0,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,0,0,0,1};{1,0,1,0,1,1,0,1,1,0,0,0 };{1,0,1,1,0,1,0,1,0,0,0,1};
    {1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1};{1,0,1,1,0,0,1,1,1,0,0,0};{1,0,1,0,0,1,0,0,1,1,1,0};{1,0,1,0,1,0,0,0,1,1,0,1 };{1,0,1,1,0,0,1,1,1,0,0,0};
    {1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1};{1,0,1,1,0,1,1,1,1,0,0,1};{1,0,1,1,0,1,1,0,0,1,1,1};{1,0,1,1,0,0,1,1,1,1,0,1 };{1,0,1,1,0,1,1,1,1,0,0,1};
    和/或,and / or,
    其中,当N=18时,所述第五序列集合中的序列包括序列集合16中的部分或全部,所述序列集合16中的序列包括:Wherein, when N=18, the sequence in the fifth sequence set includes part or all of the sequence set 16, and the sequence in the sequence set 16 includes:
    {1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1};{1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,0 ,0,0,0,0,1,1,0,0,1,0,0,1};
    {1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0};{1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0};{1,0,1,0,1,1 ,1,0,1,0,0,1,1,1,0,1,0,0};
    {1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0};{1,0,1,1,1,0 ,0,1,1,1,1,1,0,0,0,0,1,1};
    {1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0};{1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0};{1,0,0,0,1,1 ,0,1,1,0,1,1,0,1,1,1,1,0};
    {1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0};{1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1};{1,0,1,1,1,1 ,1,0,0,1,1,1,1,1,0,1,0,0};
    {1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0};{1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0};{1,0,1,1,0,0 ,0,1,1,0,1,1,1,1,0,1,1,0};
    {1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0};{1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0};{1,1,1,0,0,1 ,0,0,1,0,1,0,1,0,0,1,0,0};
    {1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0};{1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0};{1,1,1,0,0,0 ,0,0,0,0,0,1,0,0,1,1,1,0};
    {1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1};{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0};{1,0,0,0,1,0 ,1,0,1,0,0,0,1,1,0,1,0,1};
    {1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0};{1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,0,1,1};{1,0,1,1,0,0 ,1,0,0,1,0,0,1,0,0,1,0,0};
    {1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0};{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0};{1,0,0,0,0,1 ,1,0,1,1,0,1,0,1,1,1,0,0};
    {1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0};{1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0};{1,1,1,1,1,1 ,0,1,1,0,0,0,1,0,0,1,0,0};
    {1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1};{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,0,1,1,1,1 ,0,0,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0};{1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0};{1,0,1,0,0,1 ,0,1,1,0,1,1,0,1,1,1,0,0};
    {1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0};{1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1};{1,0,1,1,0,1 ,0,0,1,0,0,0,0,1,1,0,0,0};
    和/或,and / or,
    其中,当N=24时,所述第五序列集合中的序列包括序列集合17中的部分或全部,所述序列集合17中的序列包括:Wherein, when N=24, the sequence in the fifth sequence set includes part or all of the sequence set 17, and the sequence in the sequence set 17 includes:
    {1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0};
    {1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1};
    {1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};{1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1};
    {1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};{1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0};
    {1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};{1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1};
    {1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0};
    {1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0};
    {1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};{1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,1};
    {1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1};{1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1};
    {1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};{1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0};
    {1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};{1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,1};
    {1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,0};{1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0};
    {1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};
    {1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0};
    {1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};{1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0};
    {1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};{1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0};
    {1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1};{1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1};
    {1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};{1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1};
    {1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};{1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0};
    {1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};{1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1};
    {1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0};
    {1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};{1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1};
    {1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};{1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0};
    {1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};{1,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1};
    {1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0};{1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0};
    {1,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,1};{1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1};
    {1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0};
    {1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,1,0,1};{1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1};
    {1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};{1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1};
    {1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}。{1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0}.
  18. 根据权利要求15-17中任一项所述的信号处理装置,其特征在于,所述收发单元,还用于在连续的N个子载波上获取所述N个子载波上的第一信号,或者,在等间隔的N个子载波上获取所述N个子载波上的第一信号;The signal processing apparatus according to any one of claims 15-17, wherein the transceiver unit is further configured to acquire the first signal on the N subcarriers on consecutive N subcarriers, or Acquiring the first signal on the N subcarriers on the N subcarriers that are equally spaced;
    所述处理单元,还用于获取序列{f n}中的N个元素,N为大于1的正整数,所述第一信号由所述序列{f n}映射至N个子载波上生成,f n为所述序列{f n}中的元素;对所述序列{f n}进行离散傅里叶反变换处理,获取序列{x n}中的N个元素。 The processing unit is further configured to acquire N elements in the sequence {f n }, where N is a positive integer greater than 1, and the first signal is generated by mapping the sequence {f n } to N subcarriers, f n is the sequence of elements in {f n}; the sequence {f n} performs inverse discrete Fourier transform processing, acquisition sequence {x n} of the N elements.
  19. 根据权利要求1-9中任一项所述的信号处理方法或者根据权利要求10-18中任一项所述的信号处理装置,其特征在于,所述第一信号为参考信号;或者,所述第一信号为用于承载通信信息的信号。The signal processing method according to any one of claims 1 to 9 or the signal processing device according to any one of claims 10 to 18, wherein the first signal is a reference signal; or The first signal is a signal for carrying communication information.
  20. 根据权利要求1、4-6、9、19中任一项所述的信号处理方法或者根据权利要求6-11中任一项所述的信号处理装置,其特征在于,还包括:由元素s n组成的序列{s n}的集合至少包括第二序列集合中的第一序列或所述第一序列中的等价序列,以及第二序列集合中的第二序列或所述第二序列的等价序列; The signal processing method according to any one of claims 1, 4-6, 9 or 19, or the signal processing device according to any one of claims 6-11, further comprising: an element s The set of sequences {s n } composed of n includes at least a first sequence in the second sequence set or an equivalent sequence in the first sequence, and a second sequence or a second sequence in the second sequence set Equivalent sequence
    其中,当N=12时,所述第二序列集合为序列集合4或序列集合5;和/或,当N=24时,所述第二序列集合为序列集合6或序列集合7或序列集合8或序列集合9;和/或,当 N=36时,所述第二序列集合为序列集合10或序列集合11或序列集合12或序列集合13;Wherein, when N=12, the second sequence set is sequence set 4 or sequence set 5; and/or, when N=24, the second sequence set is sequence set 6 or sequence set 7 or sequence set 8 or a sequence set 9; and/or, when N=36, the second sequence set is a sequence set 10 or a sequence set 11 or a sequence set 12 or a sequence set 13;
    所述序列集合4中的序列包括以下序列中的部分或全部:The sequence in Sequence Set 4 includes some or all of the following sequences:
    {1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,1,1,1,0,1,0,1 };{1,0,0,0,0,1,1,0,1,1,1,0};
    {1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,0,1,0,1,1,1,1,0,1 };{1,1,0,0,0,0,0,1,1,0,1,0};
    {1,1,0,1,0,0,1,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,1,0,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,1,1 };{1,0,0,0,0,1,0,1,1,0,1,1};
    {1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,1,0,0,0,1,0,0,1,1};{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0 };{1,0,0,1,0,0,0,1,0,0,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0 };{1,0,0,0,0,0,1,0,0,0,1,0};
    {1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0 };{1,0,0,1,1,1,1,0,1,0,1,1};
    {1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1 };{1,0,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1 };{1,0,0,0,0,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0 };{1,0,0,1,0,1,1,1,1,0,0,1};
    {1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1};{1,1,0,1,0,1,0,1,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1 };{1,1,0,1,0,1,0,1,1,0,1,1};
    所述序列集合5中的序列包括以下序列中的部分或全部:The sequence in Sequence Set 5 includes some or all of the following sequences:
    {1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,0,1,1,1 };{1,0,0,0,0,1,0,0,0,1,0,1};
    {1,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,0,0,1,0,1,1,1,0,0 };{1,0,0,1,1,1,1,1,0,1,0,1};
    {1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,1,1,1,1,0,1,0,0,0 };{1,1,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,1};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,1,0,1,1 };{1,0,0,1,0,0,0,1,0,0,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,0};{1,0,0,0,0,0,1,0,1,0,0,0 };{1,0,0,0,0,0,1,0,0,0,1,0};
    {1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,1,1,0,1,0,0,0,0,0 };{1,0,0,1,1,1,1,0,1,0,1,1};
    {1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1 };{1,0,0,0,0,0,0,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,1,0,1,0,1 };{1,0,0,0,0,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,1,1,0,0,0,0,0 };{1,0,0,1,0,1,1,1,1,0,0,1};
    {1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1};{1,1,0,1,0,1,0,1,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,0,1,0,1,1 };{1,1,0,1,0,1,0,1,1,0,1,1};
    所述序列集合6中的序列包括以下序列中的部分或全部:The sequence in set of sequences 6 includes some or all of the following sequences:
    {1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};
    {1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
    {1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
    {1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
    {1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
    {1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
    {1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
    {1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
    {1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};
    {1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
    {1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
    {1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
    {1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0};
    {1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,1,1,0};
    所述序列集合7中的序列包括以下序列中的部分或全部:The sequence in Sequence Set 7 includes some or all of the following sequences:
    {1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
    {1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
    {1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
    {1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
    {1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
    {1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
    {1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};{1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,0};
    {1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
    {1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
    {1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0};{1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
    {1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0};{1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0};
    {1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
    {1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
    {1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};
    所述序列集合8中的序列包括以下序列中的部分或全部:The sequence in Sequence Set 8 includes some or all of the following sequences:
    {1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
    {1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
    {1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};{1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0};
    {1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
    {1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};{1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1};
    {1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
    {1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
    {1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};
    {1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
    {1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1};
    {1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
    {1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
    {1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
    {1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
    {1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
    {1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
    {1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
    {1,1,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,1,0};{1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
    {1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};{1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,1};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};
    {1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
    {1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};
    {1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
    {1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
    {1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
    {1,0,0,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,0};{1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0};
    {1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};{1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1};
    {1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
    {1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};
    {1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1,1};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
    {1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0};
    {1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};
    {1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0};{1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};
    {1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};{1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,1};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};
    {1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};
    所述序列集合9中的序列包括以下序列中的部分或全部:The sequence in the set of sequences 9 includes some or all of the following sequences:
    {1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1};
    {1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};{1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1};
    {1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0};{1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0};
    {1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1};
    {1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0};{1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0};
    {1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};
    {1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};
    {1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};{1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1};
    {1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};{1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1};
    {1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};{1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1};
    {1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};
    {1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};
    {1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1};
    {1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};{1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0};
    {1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};
    {1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};
    {1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};
    {1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1};
    {1,0,0,1,0,1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1};{1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1};
    {1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0};
    {1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1};
    {1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0};
    {1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};{1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,1};
    {1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};
    {1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};
    {1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};{1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1};
    {1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1};
    {1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1};{1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1};
    {1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};{1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1};
    {1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1};
    {1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};
    {1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};{1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,1};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,1,1,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};
    {1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};
    {1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};{1,1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};
    {1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,0};
    {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};
    {1,0,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1};
    {1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};{1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0};
    {1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};{1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0};
    {1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,1,1};{1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1};
    {1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0};
    {1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};
    {1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};{1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0};
    {1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0};{1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0};
    {1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};{1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0};
    {1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};
    {1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0,1};{1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1};
    {1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1};
    所述序列集合10中的序列包括以下序列中的部分或全部:The sequence in the set of sequences 10 includes some or all of the following sequences:
    {0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,0,1,0,1,1};
    {0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,0,0,1,1};
    {0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,1,0,0,0,0,0,1,1,0};
    {0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,0,1,1,0,0};
    {0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,1,0,0,0,1};
    {0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0 ,1,0,1,0,0,0,1,1,0,0,1};
    {0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0 ,1,1,1,0,0,0,0,0,1,0,0};
    {0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,0,0,1,1,1};
    {0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,1,0,0,0,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,0,0,1,1,1};
    {0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1 ,1,1,0,1,0,0,1,0,0,0,1};
    {0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1 ,1,1,1,1,0,1,1,1,0,1,1};
    {0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1 ,0,0,0,1,0,1,0,1,1,0,1};
    {0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1 ,1,1,1,1,0,1,0,1,0,0,1};
    {0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,0,0,1,1,0};
    {0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1 ,0,1,0,1,1,0,0,1,1,1,1};
    {0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1 ,1,0,1,0,0,0,1,1,1,0,1};
    {0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1 ,1,0,0,1,1,0,0,0,0,1,0};
    {0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1 ,1,0,0,1,1,1,0,0,1,0,0};
    {0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,1,0,0,0,1};
    {0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0};{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1 ,0,0,0,0,0,0,1,0,0,1,0};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,0,0,1,1,1};
    {0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1 ,1,0,0,1,0,1,0,1,0,0,0};
    {0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,1,0,0,0,1};
    {0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1 ,0,0,1,1,1,1,1,1,1,0,1};
    {0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,0,0,1,0,0};
    {0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1};{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1 ,1,0,1,1,0,1,1,1,1,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0 ,0,1,0,1,1,0,0,1,1,1,1};
    所述序列集合11中的序列包括以下序列中的部分或全部:The sequence in the set of sequences 11 includes some or all of the following sequences:
    {0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,0,1,0,1,1};
    {0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,1,0,0,1,1};
    {0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,0,0,0,0,0};
    {0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0};{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,1,0,0,0,0,0,1,1,0};
    {0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,0,1,1,0,0};
    {0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,1,0,0,0,1};
    {0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0 ,1,0,1,0,0,0,1,1,0,0,1};
    {0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1};{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1 ,1,1,1,0,1,0,0,1,0,0,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,1,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,0,1,1,1,1};
    {0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1 ,1,0,1,1,1,0,1,1,1,1,1};
    {0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,0,0,1,1,1};
    {0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,1,0,0,0,1};
    {0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0 ,1,0,0,1,0,0,0,1,0,1,1};
    {0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1 ,1,1,1,1,0,1,1,1,0,1,1};
    {0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1};{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1 ,0,0,0,1,0,1,0,1,1,0,1};
    {0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1 ,0,1,1,1,0,1,0,0,1,1,1};
    {0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1};{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1 ,0,0,1,0,1,0,1,0,0,1,1};
    {0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1};{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1 ,0,1,1,1,0,1,1,0,1,1,1};
    {0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1 ,1,1,1,1,0,1,0,1,0,0,1};
    {0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,0,0,1,1,0};
    {0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,1};{0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,1,1,0,0,1};
    {0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,1,0,0,0,1};
    {0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1};{0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1 ,1,0,1,1,0,1,1,0,1,0,1};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,0,0,1,1,1};
    {0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0 ,1,1,1,0,1,0,0,0,1,1,1};
    {0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0};{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1 ,0,0,1,0,0,1,0,1,1,1,0};
    {0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0};{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1 ,1,0,0,1,0,1,0,1,0,0,0};
    {0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1};{0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1 ,0,0,1,1,0,1,0,0,1,0,1};
    {0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1};{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1 ,0,1,0,0,1,1,0,1,1,1,1};
    {0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1};{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0 ,0,1,1,0,1,1,0,0,1,0,1};
    所述序列集合12中的序列包括以下序列中的部分或全部:The sequence in the set of sequences 12 includes some or all of the following sequences:
    {0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,01,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,01,0,1,1};
    {0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,10,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,10,0,1,1};
    {0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,00,1,1,0};{0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,0,00,1,1,0};
    {0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,00,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,00,0,0,0};
    {0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,01,0,1,1};{0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0 ,0,0,0,1,0,0,01,0,1,1};
    {0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,01,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,01,1,0,0};
    {0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,10,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,10,0,0,1};
    {0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,11,0,0,1};{0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0 ,1,0,1,0,0,0,11,0,0,1};
    {0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,00,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0 ,1,1,1,0,0,0,00,1,0,0};
    {0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,00,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,00,1,1,1};
    {0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,10,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,10,0,0,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,00,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,00,1,1,1};
    {0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,10,0,0,1};{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1 ,1,1,0,1,0,0,10,0,0,1};
    {0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,11,0,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1 ,1,1,1,1,0,1,11,0,1,1};
    {0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,01,1,0,1};{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1 ,0,0,0,1,0,1,01,1,0,1};
    {0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,01,1,1,0};{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1 ,0,1,0,1,1,1,01,1,1,0};
    {0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,00,1,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0 ,0,1,0,1,1,0,00,1,0,0};
    {0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,01,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1 ,1,1,1,1,0,1,01,0,0,1};
    {0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,00,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,00,1,1,0};
    {0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,01,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1 ,0,1,0,1,1,0,01,1,1,1};
    {0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,00,0,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ,0,1,0,1,1,1,00,0,0,0};
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,11,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1 ,1,0,1,0,0,0,11,1,0,1};
    {0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1,1,11,1,0,1};{0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1 ,0,1,1,1,1,1,11,1,0,1};
    {0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,00,0,1,0};{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1 ,1,0,0,1,1,0,00,0,1,0};
    {0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,01,0,0,0};{0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1 ,1,1,0,1,0,1,01,0,0,0};
    {0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,00,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1 ,1,0,0,1,1,1,00,1,0,0};
    {0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,10,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,10,0,0,1};
    {0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,10,0,1,0};{0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1 ,0,0,0,0,0,0,10,0,1,0};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,00,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,00,1,1,1};
    {0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,01,0,0,0};{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1 ,1,0,0,1,0,1,01,0,0,0};
    {0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,01,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1 ,0,1,0,1,1,0,01,1,0,1};
    {0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,10,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,10,0,0,1};
    {0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,11,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1 ,0,0,1,1,1,1,11,1,0,1};
    {0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,00,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,00,1,0,0};
    {0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,11,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1 ,1,0,1,0,0,0,11,1,0,1};
    {0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,11,1,1,1};{0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1 ,1,0,1,1,0,1,11,1,1,1};
    {0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,11,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1 ,1,1,1,1,0,0,11,0,0,0};
    {0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,11,1,0,1};{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0 ,0,1,1,0,1,0,11,1,0,1};
    {0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,01,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0 ,0,1,0,1,1,0,01,1,1,1};
    {0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,10,0,0,0};{0,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1 ,1,1,1,0,0,1,10,0,0,0};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,11,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0 ,1,0,1,1,0,0,11,1,1,1};
    {0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,00,0,1,0};{0,1,0,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0 ,1,1,0,1,1,0,00,0,1,0};
    {0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,00,1,1,0};{0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0 ,0,1,1,1,0,0,00,1,1,0};
    {0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,00,0,0,0};{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0 ,1,1,0,0,1,0,00,0,0,0};
    {0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,01,1,1,1};{0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1 ,0,1,0,0,1,1,01,1,1,1};
    {0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,10,1,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0 ,0,1,1,0,0,0,10,1,0,1};
    {0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,11,0,1,0};{0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,11,0,1,0};
    {0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,00,1,0,1};{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0 ,0,1,1,0,1,1,00,1,0,1};
    {0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,10,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0 ,1,1,0,0,0,1,10,0,0,0};
    {0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,01,0,1,0};{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0 ,0,0,0,1,1,1,01,0,1,0};
    {0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,11,1,1,1};{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0 ,1,0,1,1,0,1,11,1,1,1};
    {0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,11,0,0,1};{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1 ,0,0,1,0,1,1,11,0,0,1};
    {0,1,0,1,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,01,1,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1 ,1,0,0,0,0,1,01,1,0,0};
    {0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,10,1,0,1};{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0 ,0,0,1,1,0,0,10,1,0,1};
    {0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,00,0,0,0};{0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0 ,1,0,0,1,1,0,00,0,0,0};
    {0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,11,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1 ,0,0,1,0,0,0,11,0,0,1};
    {0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,11,1,0,1};{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1 ,1,1,0,0,1,1,11,1,0,1};
    {0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,01,1,0,0};{0,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,1,1 ,1,0,0,0,1,0,01,1,0,0};
    {0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,1,1,1,0,0,10,1,1,0};{0,1,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,1 ,1,1,1,1,0,0,10,1,1,0};
    所述序列集合13中的序列包括以下序列中的部分或全部:The sequence in the set of sequences 13 includes some or all of the following sequences:
    {0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,01,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1 ,0,0,0,1,0,0,01,0,1,1};
    {0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,10,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1 ,1,1,1,0,0,0,10,0,1,1};
    {0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,00,0,0,0};{0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,1,1,0 ,0,1,0,1,1,1,00,0,0,0};
    {0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,00,1,1,0};{0,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,1,0,0,0,00,1,1,0};
    {0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,01,1,0,0};{0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0 ,0,0,0,0,1,0,01,1,0,0};
    {0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,10,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0 ,0,1,0,0,1,0,10,0,0,1};
    {0,0,0,1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,11,0,0,1};{0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0 ,1,0,1,0,0,0,11,0,0,1};
    {0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,01,0,0,1};{0,0,0,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,1 ,1,1,1,0,1,0,01,0,0,1};
    {0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,01,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0 ,1,0,1,0,0,1,01,1,1,1};
    {0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,11,1,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1 ,1,0,1,1,1,0,11,1,1,1};
    {0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,00,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1 ,1,0,0,1,0,1,00,1,1,1};
    {0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,10,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1 ,0,1,1,0,1,0,10,0,0,1};
    {0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,01,0,1,1};{0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0 ,1,0,0,1,0,0,01,0,1,1};
    {0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,11,0,1,1};{0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1 ,1,1,1,1,0,1,11,0,1,1};
    {0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,01,1,0,1};{0,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1 ,0,0,0,1,0,1,01,1,0,1};
    {0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,00,1,1,1};{0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1 ,0,1,1,1,0,1,00,1,1,1};
    {0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,01,1,1,0};{0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1 ,0,1,0,1,1,1,01,1,1,0};
    {0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,00,1,0,0};{0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0 ,0,1,0,1,1,0,00,1,0,0};
    {0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,10,0,1,1};{0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,1 ,0,0,1,0,1,0,10,0,1,1};
    {0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,10,1,1,1};{0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1 ,0,1,1,1,0,1,10,1,1,1};
    {0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,01,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1 ,1,0,0,0,1,0,01,0,0,1};
    {0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,11,1,0,1};{0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1 ,1,1,0,1,0,1,11,1,0,1};
    {0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,1,1,1,0,1,01,0,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1 ,1,1,1,1,0,1,01,0,0,1};
    {0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,00,1,1,0};{0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ,0,0,0,0,1,0,00,1,1,0};
    {0,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,01,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1 ,0,1,0,1,1,0,01,1,1,1};
    {0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,00,0,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ,0,1,0,1,1,1,00,0,0,0};
    {0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,11,0,0,1};{0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1 ,1,1,1,0,0,1,11,0,0,1};
    {0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,10,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1 ,0,0,1,1,0,1,10,0,0,1};
    {0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,1,0,1,10,1,0,1};{0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1 ,1,0,1,1,0,1,10,1,0,1};
    {0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,00,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1 ,1,0,1,0,1,0,00,1,1,1};
    {0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,00,1,1,1};{0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0 ,1,1,1,0,1,0,00,1,1,1};
    {0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,01,1,1,0};{0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1 ,0,0,1,0,0,1,01,1,1,0};
    {0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,11,1,1,1};{0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,1,1,1 ,0,1,0,0,1,1,11,1,1,1};
    {0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,00,1,1,1};{0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,1 ,0,1,1,0,1,1,00,1,1,1};
    {0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,01,0,0,0};{0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1 ,1,0,0,1,0,1,01,0,0,0};
    {0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,01,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1 ,0,1,0,1,1,0,01,1,0,1};
    {0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,10,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1 ,0,1,0,0,0,1,10,0,0,1};
    {0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,11,1,0,1};{0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1 ,0,0,1,1,1,1,11,1,0,1};
    {0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,1,00,1,0,0};{0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1 ,1,1,1,0,1,1,00,1,0,0};
    {0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,11,0,0,0};{0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1 ,1,1,1,1,0,0,11,0,0,0};
    {0,0,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,11,0,1,1};{0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, ,0,1,0,0,0,1,11,0,1,1};
    {0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,10,1,0,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0 ,1,0,0,0,1,1,10,1,0,1};
    {0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,01,1,1,1};{0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,1 ,0,1,0,0,1,1,01,1,1,1};
    {0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,11,0,1,0};{0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1 ,1,1,1,0,0,1,11,0,1,0};
    {0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,11,0,0,1};{0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1 ,1,0,0,0,1,0,11,0,0,1};
    {0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,10,1,1,1};{0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1 ,0,1,0,1,0,0,10,1,1,1};
    {0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,00,0,0,0};{0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0 ,1,1,0,0,1,0,00,0,0,0};
    {0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,10,1,0,1};{0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0 ,0,1,1,0,0,0,10,1,0,1};
    {0,0,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,00,1,0,1};{0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0 ,0,1,1,0,1,1,00,1,0,1};
    {0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,10,0,0,0};{0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0 ,1,1,0,0,0,1,10,0,0,0};
    {0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,01,0,1,0};{0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0 ,0,0,0,1,1,1,01,0,1,0};
    {0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,11,1,1,1};{0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,1,0 ,1,0,1,1,0,1,11,1,1,1};
    {0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,01,1,0,1};{0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,1,1,1 ,1,0,1,0,1,1,01,1,0,1};
    {0,0,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,11,0,0,1};{0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1 ,0,0,0,1,0,1,11,0,0,1};
    {0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,01,1,0,0};{0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1 ,1,0,1,1,1,1,01,1,0,0};
    {0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,11,0,0,0};{0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1 ,0,0,0,0,0,1,11,0,0,0};
    {0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,00,1,1,1};{0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1 ,0,0,0,0,1,0,00,1,1,1};
    {0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,00,1,1,1};{0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1 ,1,0,1,1,1,0,00,1,1,1};
    {0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,10,1,1,1};{0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,1,0,1,1 ,0,1,1,0,1,1,10,1,1,1};
    {0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,11,1,0,1}。{0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0 , 1,1,0,1,1,0,11,1,0,1}.
  21. 根据权利要求2、4-5、7-9、19中任一项所述的信号处理方法或者根据权利要求11、13-14、16、18-19中任一项所述的信号处理装置,其特征在于,还包括:由元素s n组成的序列{s n}的集合至少包括第四序列集合中的第一序列,以及第四序列集合中的第二序列; The signal processing method according to any one of claims 2, 4-5, 7-9, or 19, or the signal processing device according to any one of claims 11, 13-14, 16, and 18-19, characterized by further comprising: a sequence of sets of elements s n {s n} consisting of a sequence comprising at least a first set of the fourth sequence, the fourth sequence and a second sequence set;
    其中,当N=18时,所述第四序列集合为序列集合18;Wherein, when N=18, the fourth sequence set is a sequence set 18;
    所述序列集合18中的序列包括以下序列中的部分或全部:The sequence in the set of sequences 18 includes some or all of the following sequences:
    {1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1};{1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1};{1,0,0,1,1,0 ,1,1,0,0,0,0,0,0,0,1,0,1};
    {1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0};{1,0,0,1,1,1 ,0,1,1,0,1,0,1,1,1,0,0,0};
    {1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,1};{1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0};{1,0,0,0,1,0 ,1,0,1,1,0,0,0,0,1,1,1,1};
    {1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0};{1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0};{1,0,1,1,1,1 ,1,0,1,0,0,0,0,1,0,0,1,0};
    {1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0};{1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1};{1,0,0,0,1,1 ,0,1,0,1,0,0,1,1,1,0,0,0};
    {1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0};{1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0};{1,0,0,0,0,0 ,1,0,1,0,0,0,1,1,1,0,1,0};
    {1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0};{1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0};{1,1,0,1,0,1 ,1,1,1,0,0,1,1,0,1,0,0,0};
    {1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0};{1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0};{1,1,0,1,0,0 ,1,1,0,0,1,0,0,0,0,0,1,0};
    {1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1};{1,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0};{1,0,1,1,1,0 ,0,1,1,0,1,1,1,1,1,0,0,1};
    {1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1};{1,0,0,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0};{1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1};{1,0,0,0,0,0 ,0,1,0,1,1,1,1,0,1,0,0,0};
    {1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0};{1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0};{1,1,0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0};{1,0,1,1,0,1 ,0,1,1,1,1,0,0,1,0,0,0,0};
    {1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0};{1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,1,0};{1,1,0,0,1,1 ,1,0,1,0,1,1,1,0,1,0,0,0};
    {1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0};{1,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,0};{1,0,0,0,1,1 ,1,1,1,1,0,1,0,1,1,0,0,1};
    {1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0};{1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0};{1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0};{1,0,0,1,0,1 ,1,0,1,0,0,0,0,1,0,0,0,0};
    {1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0}。{1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1};{1,0,0,0,0,1 , 1,1,1,0,1,1,0,1,0,1,0,0}.
  22. 根据权利要求1、4-6、9、19-20中任一项所述的信号处理方法或者根据权利要求10、13-15、18-20中任一项所述的信号处理装置,其特征在于,所述等价序列为{q n},所述等价序列{q n}中的元素q n满足q n=s (n+M)mod N,M∈{0,1,2,...,N-1},N为序列长度。 The signal processing method according to any one of claims 1, 4-6, 9, 19 to 20, or the signal processing device according to any one of claims 10, 13-15, and 18-20 In the case where the equivalent sequence is {q n }, the element q n in the equivalent sequence {q n } satisfies q n =s (n+M) mod N , M ∈ {0, 1, 2,. .., N-1}, N is the sequence length.
  23. 一种计算机可读存储介质,用于存储计算机程序,其特征在于,所述计算机程序用于执行权利要求1-9、19-22中任一项所述的信号处理方法的指令。A computer readable storage medium for storing a computer program, the computer program for executing the instructions of the signal processing method of any one of claims 1-9, 19-22.
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