CN108365850A - 编码方法、编码装置和通信装置 - Google Patents

编码方法、编码装置和通信装置 Download PDF

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CN108365850A
CN108365850A CN201710061840.2A CN201710061840A CN108365850A CN 108365850 A CN108365850 A CN 108365850A CN 201710061840 A CN201710061840 A CN 201710061840A CN 108365850 A CN108365850 A CN 108365850A
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sequence
bit
ray
code
polarisation channel
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CN108365850B (zh
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陈莹
张公正
张华滋
罗禾佳
李榕
王俊
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Huawei Technologies Co Ltd
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Huawei Technologies Co Ltd
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Priority to PCT/CN2018/073435 priority patent/WO2018137568A1/zh
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    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/13—Linear codes
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202—Channel estimation
    • H04L25/0204—Channel estimation of multiple channels
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/63—Joint error correction and other techniques
    • H03M13/635—Error control coding in combination with rate matching
    • H03M13/6362—Error control coding in combination with rate matching by puncturing
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00—Arrangements for detecting or preventing errors in the information received
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00—Arrangements for detecting or preventing errors in the information received
    • H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0041—Arrangements at the transmitter end
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00—Arrangements for detecting or preventing errors in the information received
    • H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056—Systems characterized by the type of code used
    • H04L1/0057—Block codes
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006—Arrangements for removing intersymbol interference
    • H04L25/03178—Arrangements involving sequence estimation techniques
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00—Arrangements for detecting or preventing errors in the information received
    • H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0041—Arrangements at the transmitter end
    • H04L1/0043—Realisations of complexity reduction techniques, e.g. use of look-up tables

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • Probability & Statistics with Applications (AREA)
  • Theoretical Computer Science (AREA)
  • Power Engineering (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Detergent Compositions (AREA)
  • Error Detection And Correction (AREA)

Abstract

本申请实施例提供一种编码方法、编码装置和通信装置。该方法包括：确定N个待编码比特，N为正整数；获取包含N个极化信道序号的第一序列；根据第一序列确定该N个待编码比特中信息比特的位置；对该N个待编码比特进行Polar编码以得到编码比特，基于获取的包含N个极化信道序号的第一序列来确定待编码比特中信息比特的位置，可以提高Polar码的性能。

Description

编码方法、编码装置和通信装置
技术领域
本发明实施例涉及通信领域，并且更具体地，涉及编码方法、编码装置和通信装置。
背景技术
通信***通常采用信道编码提高数据传输的可靠性，以保证通信的质量。土耳其教授Arikan提出的极化码(Polar codes)是第一个理论上证明可以达到香农容量且具有低编译码复杂度的好码。Polar码是一种线性块码，其编码矩阵为GN，例如，编码过程为其中是一个二进制的行矢量，长度为N(即母码长度)；GN是一个N×N的矩阵，且 定义为log2N个矩阵F2的克罗内克(Kronecker)乘积。
上述矩阵
Polar码的编码过程中，中的一部分比特用来携带信息，称为信息比特，这些比特的索引的集合记作A；另外的一部分比特设置为收发端预先约定的固定值，称之为固定比特或冻结比特(frozen bits)，其索引的集合用A的补集Ac表示。Polar码的编码过程相当于：这里，GN.(A)是GN.中由集合A中的索引对应的那些行得到的子矩阵，GN(AC)是GN中由集合AC中的索引对应的那些行得到的子矩阵。uA为中的信息比特集合，信息比特个数为K；为中的固定比特集合，固定比特个数为(N-K)，是已知比特。这些固定比特通常被设置为0，但是只要收发端预先约定，固定比特可以被任意设置。固定比特设置为0时，Polar码的编码输出可简化为：是一个K×N的矩阵。
Polar码的构造过程即集合A的选取过程，决定了Polar码的性能。Polar码的构造过程通常是，根据母码码长N确定共存在N个极化信道，分别对应编码矩阵的N个行，计算极化信道可靠度，将可靠度较高的前K个极化信道的索引作为集合A的元素，剩余(N-K)个极化信道对应的索引作为固定比特的索引集合Ac的元素。集合A决定了信息比特的位置，集合Ac决定了固定比特的位置。
从编码矩阵可以看出，原始Polar码(母码)的码长为2的整数次幂，在实际应用中一般需要通过速率匹配实现任意码长的Polar码，通常可以采用打孔(puncture)或缩短(shorten)的方式实现速率匹配。
常见的极化信道可靠度的度量有错误概率、信道容量和极化权重等，现有技术中有三种极化信道可靠度估计的方法，一种是计算每个极化信道的巴氏(Bhattacharyya)参数，该参数反应了极化信道的错误概率，然后选择K个最小的巴氏参数对应的极化信道放置信息比特，但是该方法只适用于二进制擦除信道，对于其他信道无法准确地进行可靠度估计，因此性能不高；另外两种分别是密度进化(Density evolution简称：DE)方法和高斯近似(Gaussion approximation，简称：GA)法。DE方法和GA方法的计算复杂度相对较高，不适用于在线计算，对于离线存储，DE方法和GA方法在计算可靠度的时候依赖于实际信道的参数速率匹配方式，码率以及调制方式，上述参数中的任何一项发生变化极化信道的可靠度估计结果也会发生变化，对应的信息比特的位置也发生变化，最终导致存储的开销过大。
发明内容
本申请实施例提供编码方法、编码装置及通信装置，能够降低Polar码编码的存储复杂度以及提高Polar码的性能。
第一方面，提供一种编码方法，包括：
确定N个待编码比特，N为正整数；
获取包含N个极化信道序号的第一序列；
根据所述第一序列确定所述N个待编码比特中信息比特的位置；
对所述N个待编码比特进行Polar编码以得到编码比特。
结合第一方面，在第一方面的第一种可能的实现方式中，所述确定N个待编码比特包括：
根据M确定N,其中，N＝M，所述M为Polar码输出的目标码长，所述M等于2的正整数次幂，M为正整数。
结合第一方面的第一种可能的实现方式中，在第一方面的第二种可能的实现方式中，所述获取包含N个极化信道序号的第一序列包括：
从附录表1中序列或表1中序列的等同替换序列得到包含N个极化信道序列的第一序列。
结合第一方面，在第一方面的第三种可能的实现方式中，所述确定N个待编码比特包括：
根据M确定N,其中，符号表示向下取整，所述M为Polar码输出的目标码长，所述M不等于2的正整数次幂，M为正整数。
结合第一方面的第三种可能的实现方式中，在第一方面的第四种可能的实现方式中，所述N个待编码比特对应码长为N的母码，
所述获取包含N个极化信道序号的第一序列包括：
根据通信***支持的最大母码码长Nmax对应的最大第一序列Smax确定所述母码码长N所对应的第一序列，其中，所述母码码长N所对应的第一序列为所述包含N个极化信道序号的第一序列。
结合第一方面的第四种可能的实现方式中，在第一方面的第五种可能的实现方式中，所述最大第一序列Smax为附录表1中序列或表1中序列的等同替换序列之一，所述N个待编码比特对应N个编码比特；
所述获取包含N个极化信道序号的第一序列包括：
确定所述N个编码比特中要删除的N-M个比特的位置；
依次读取所述最大第一序列Smax中极化信道序号，并且将所述最大第一序列Smax中不在所述N-M个比特的位置且不大于N的极化信道序号依次读出；
当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为所述母码码长N所对应的所述第一序列。
结合第一方面的第三种可能的实现方式中，在第一方面的第六种可能的实现方式中，所述N个待编码比特对应码长为N的母码，
所述获取包含N个极化信道序号的第一序列包括：
根据在无需进行速率匹配时所述母码码长N所对应的第四序列，确定在需要进行速率匹配时所述母码码长N所对应的第一序列，其中，所述母码码长N所对应的第一序列为所述包含N个极化信道序号的第一序列。
结合第一方面的第六种可能的实现方式中，在第一方面的第七种可能的实现方式中，所述第四序列为附录中表1中序列或表1中序列的等同替换序列之一，所述N个待编码比特对应N个编码比特；
所述根据母码码长N在无需进行速率匹配时所对应的第四序列，确定所述母码码长N所对应的第一序列包括：
确定所述N个编码比特中要删除的N-M个比特的位置；
依次读取第四序列中极化信道序号，并且将第四序列中不在所述N-M个比特的位置的极化信道序号依次读出；
当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为所述母码码长N在需要进行速率匹配时所对应的第一序列。
结合第一方面的第三种可能的实现方式中，在第一方面的第八种可能的实现方式中，所述获取包含N个极化信道序号的第一序列包括：
从附录中表2、表3或表4中序列或者所述表2、表3或表4中序列的等同替换序列得到包含N个极化信道序列的第一序列。
结合第一方面及其上述实现方式，在第一方面的第九种可能的实现方式中，所述获取包含N个极化信道序号的第一序列包括：
根据N个第二序列S1，S2，…,SN确定第一序列S′N，第二序列Si包含i个极化信道序号，1≤i≤N，i为正整数。
结合第一方面的第九种可能的实现方式中，在第一方面的第十种可能的实现方式中，所述根据N个第二序列S1，S2，…,SN确定第一序列S′N包括：
确定N个第二序列S1，S2，…,SN；
初始化第一序列S′1＝S1；
设置j从2遍历到N，基于如下公式计算得到第一序列S′N：
S′j＝S′j-1+(S′j-1\Sj)
其中，2≤j≤N，j为正整数，“\”表示计算两个序列的差集，“+”表示将前后两个序列进行连接以形成一个序列。
第二方面，提供一种编码装置，包括：
确定模块，用于确定N个待编码比特，N为正整数；
获取模块，用于获取包含N个极化信道序号的第一序列；
所述确定模块，还用于根据所述第一序列确定所述N个待编码比特中信息比特的位置；
所述编码模块，用于对所述N个待编码比特进行Polar编码以得到编码比特。
结合第二方面，在第二方面的第一种可能的实现方式中，所述确定模块具体用于：
根据M确定N,其中，N＝M，所述M为Polar码输出的目标码长，所述M等于2的正整数次幂，M为正整数。
结合第二方面的第一种可能的实现方式，在第二方面的第二种可能的实现方式中，所述获取模块具体用于：
从附录表1中序列或表1中序列的等同替换序列得到包含N个极化信道序列的第一序列。
结合在第二方面，在第二方面的第三种可能的实现方式中，所述确定模块具体用于：
根据M确定N,其中，符号表示向下取整，所述M为Polar码输出的目标码长，所述M不等于2的正整数次幂，M为正整数。
结合在第二方面的第三种可能的实现方式，在第二方面的第四种可能的实现方式中，所述N个待编码比特对应码长为N的母码，
所述获取模块具体用于：
根据通信***支持的最大母码码长Nmax对应的最大第一序列Smax确定所述母码码长N所对应的第一序列，其中，所述母码码长N所对应的第一序列为所述包含N个极化信道序号的第一序列。
结合在第二方面的第四种可能的实现方式，在第二方面的第五种可能的实现方式中，所述最大第一序列Smax为附录表1中序列或表1中序列的等同替换序列之一，所述N个待编码比特对应N个编码比特；
所述获取模块具体用于：
确定所述N个编码比特中要删除的N-M个比特的位置；
依次读取所述最大第一序列Smax中极化信道序号，并且将所述最大第一序列Smax中不在所述N-M个比特的位置且不大于N的极化信道序号依次读出；
当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为所述母码码长N所对应的所述第一序列。
结合在第二方面的第三种可能的实现方式，在第二方面的第六种可能的实现方式中，所述N个待编码比特对应码长为N的母码，
所述获取模块具体用于：
根据在无需进行速率匹配时所述母码码长N所对应的第四序列，确定在需要进行速率匹配时所述母码码长N所对应的第一序列，其中，所述母码码长N所对应的第一序列为所述包含N个极化信道序号的第一序列。
结合在第二方面的第六种可能的实现方式，在第二方面的第七种可能的实现方式中，所述第四序列为附录中表1中序列或表1中序列的等同替换序列之一，所述N个待编码比特对应N个编码比特；
所述获取模块具体用于：
确定所述N个编码比特中要删除的N-M个比特的位置；
依次读取第四序列中极化信道序号，并且将第四序列中不在所述N-M个比特的位置的极化信道序号依次读出；
当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为所述母码码长N在需要进行速率匹配时所对应的第一序列。
结合在第二方面的第三种可能的实现方式，在第二方面的第八种可能的实现方式中，所述获取模块具体用于：
从附录中表2、表3或表4中序列或者所述表2、表3或表4中序列的等同替换序列得到包含N个极化信道序列的第一序列。
结合在第二方面及其上述实现方式，在第二方面的第九种可能的实现方式中，所述获取模块具体用于：
根据N个第二序列S1，S2，…,SN确定第一序列S′N，第二序列Si包含i个极化信道序号，1≤i≤N，i为正整数。
结合在第二方面的第九种可能的实现方式，在第二方面的第十种可能的实现方式中，所述获取模块具体用于：
确定N个第二序列S1，S2，…,SN；
初始化第一序列S′1＝S1；
设置j从2遍历到N，基于如下公式计算得到第一序列S′N：
S′j＝S′j-1+(S′j-1\Sj)
其中，2≤j≤N，j为正整数，“\”表示计算两个序列的差集，“+”表示将前后两个序列进行连接以形成一个序列。
第三方面，提供一种通信装置，包括：
存储器，用于存储程序；
处理器，用于执行所述存储器存储的所述程序，当所述程序被执行时，所述处理器用于执行上述第一方面或第一方面的任意一种可能的实现方式。
本申请的又一方面提了供一种计算机可读存储介质，所述计算机可读存储介质中存储有指令，当其在计算机上运行时，使得计算机执行上述各方面所述的方法。
本申请的又一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，使得计算机执行上述各方面所述的方法。
本申请的又一方面提供了一种计算机程序，当其在计算机上运行时，使得计算机执行上述各方面所述的方法。
本申请实施例中，基于获取的包含N个极化信道序号的第一序列来确定待编码比特中信息比特的位置，可以提高Polar码的性能。
附图说明
图1是本申请提供的无线通信***的结构；
图2a是无线通信发送端和接收端的基本流程示意图；
图2b是本申请实施的Polar码的编码过程示意图；
图3a是本申请实施的一种编码方法流程示意图；
图3b是图3a中步骤302的又一种实施方式流程图；
图3c是图3a中步骤302的又一种实施方式流程图；
图3d是图3a中步骤302的又一种实施方式流程图；
图4a是本申请实施的另一种编码方法流程示意图；
图4b是图4a中步骤402的又一种实施方式流程图；
图5是本申请实施的编码装置结构图；
图6是本申请实施的通信装置结构图。
具体实施方式
本发明实施例可应用于各种通信***，因此，下面的描述不限制于特定通信***。全球移动通讯(Global System of Mobile communication，简称“GSM”)***、码分多址(Code Division Multiple Access，简称“CDMA”)***、宽带码分多址(Wideband CodeDivision Multiple Access，简称“WCDMA”)***、通用分组无线业务(General PacketRadio Service，简称“GPRS”)、长期演进(Long Term Evolution，简称“LTE”)***、LTE频分双工(Frequency Division Duplex，简称“FDD”)***、LTE时分双工(Time DivisionDuplex，简称“TDD”)、通用移动通信***(Universal Mobile Telecommunication System，简称“UMTS”)等。在上述的***中的基站或者终端使用传统Turbo码、LDPC码编码处理的信息或者数据都可以使用本实施例中的Polar码编码。
在本说明书中使用的术语“部件”、“模块”、“***”等用于表示计算机相关的实体、硬件、固件、硬件和软件的组合、软件、或执行中的软件。例如，部件可以是但不限于，在处理器上运行的进程、处理器、对象、可执行文件、执行线程、程序和/或计算机。通过图示，在计算设备上运行的应用和计算设备都可以是部件。一个或多个部件可驻留在进程和/或执行线程中，部件可位于一个计算机上和/或分布在两个或更多个计算机之间。此外，这些部件可从在上面存储有各种数据结构的各种计算机可读介质执行。部件可例如根据具有一个或多个数据分组(例如来自与本地***、分布式***和/或网络间的另一部件交互的二个部件的数据，例如通过信号与其它***交互的互联网)的信号通过本地和/或远程进程来通信。
此外，结合接入终端描述了各个实施例。接入终端也可以称为***、用户单元、用户站、移动站、移动台、远方站、远程终端、移动设备、用户终端、终端、无线通信设备、用户代理、用户装置或UE(User Equipment，用户设备)。接入终端可以是蜂窝电话、无绳电话、SIP(Session Initiation Protocol，会话启动协议)电话、WLL(Wireless Local Loop，无线本地环路)站、PDA(Personal Digital Assistant，个人数字处理)、具有无线通信功能的手持设备、计算设备或连接到无线调制解调器的其它处理设备。此外，结合基站描述了各个实施例。基站可用于与移动设备通信，基站可以是GSM(Global System of Mobilecommunication，全球移动通讯)或CDMA(Code Division Multiple Access，码分多址)中的BTS(Base Transceiver Station，基站)，也可以是WCDMA(Wideband Code DivisionMultiple Access，宽带码分多址)中的NB(NodeB，基站)，还可以是LTE(Long TermEvolution，长期演进)中的eNB或eNodeB(Evolutional Node B，演进型基站)，或者中继站或接入点，或者未来5G网络中的基站设备等。
现在，参照图1，示出根据本文所述的各个实施例的无线通信***100。***100包括基站102，后者可包括多个天线组。例如，一个天线组可包括天线104和106，另一个天线组可包括天线108和110，附加组可包括天线112和114。对于每个天线组示出了2个天线，然而可对于每个组使用更多或更少的天线。基站102可附加地包括发射机链和接收机链，本领域普通技术人员可以理解，它们均可包括与信号发送和接收相关的多个部件(例如处理器、调制器、复用器、解调器、解复用器或天线等)。
基站102可以与一个或多个接入终端(例如接入终端116和接入终端122)通信。然而，可以理解，基站102可以与类似于接入终端116和122的基本上任意数目的接入终端通信。接入终端116和122可以是例如蜂窝电话、智能电话、便携式电脑、手持通信设备、手持计算设备、卫星无线电装置、全球定位***、PDA和/或用于在无线通信***100上通信的任意其它适合设备。如图所示，接入终端116与天线112和114通信，其中天线112和114通过前向链路118向接入终端116发送信息，并通过反向链路120从接入终端116接收信息。此外，接入终端122与天线104和106通信，其中天线104和106通过前向链路124向接入终端122发送信息，并通过反向链路126从接入终端122接收信息。在FDD(Frequency Division Duplex，频分双工)***中，例如，前向链路118可利用与反向链路120所使用的不同频带，前向链路124可利用与反向链路126所使用的不同频带。此外，在TDD(Time Division Duplex，时分双工)***中，前向链路118和反向链路120可使用共同频带，前向链路124和反向链路126可使用共同频带。
被设计用于通信的每组天线和/或区域称为基站102的扇区。例如，可将天线组设计为与基站102覆盖区域的扇区中的接入终端通信。在通过前向链路118和124的通信中，基站102的发射天线可利用波束成形来改善针对接入终端116和122的前向链路118和124的信噪比。此外，与基站通过单个天线向它所有的接入终端发送相比，在基站102利用波束成形向相关覆盖区域中随机分散的接入终端116和122发送时，相邻小区中的移动设备会受到较少的干扰。
在给定时间，基站102、接入终端116和/或接入终端122可以是发送无线通信装置和/或接收无线通信装置。当发送数据时，发送无线通信装置可对数据进行编码以用于传输。具体地，发送无线通信装置可具有(例如生成、获得、在存储器中保存等)要通过信道发送至接收无线通信装置的一定数目的信息比特。这种信息比特可包含在数据的传输块(或多个传输块)中，其可被分段以产生多个代码块。此外，发送无线通信装置可使用Polar码编码器(未示出)来对每个代码块编码。
图2a是无线通信的基本流程，在发送端，信源依次经过信源编码、信道编码、数字调制后发出。在接收端，依次通过数字解调、信道解码、信源解码输出信宿。信道编解码可以采用Polar码，由于原始Polar码(母码)的码长为2的整数次幂，在实际应用中需要通过速率匹配实现任意码长的Polar码。图2a所示的，在发送端在信道编码后进行速率匹配实现任意的目标码长，在接收端，信道解码之前先进行解速率匹配。
如图2b所示，Polar码的编码过程包括构造、编码和速率匹配三个处理过程。
首先是构造过程：接收输入的N1个信息比特，根据母码码长N确定与母码码长N对应的序列，其中，母码码长N根据编码后的目标码长M确定，待编码的比特的个数为N，N个待编码的比特包括N1个信息比特和N2个固定比特，根据信息比特的数目从该序列中确定信息比特的位置，也即确定出固定比特的位置；然后是编码过程：对待编码的比特进行Polar编码，获得Polar编码后的比特；最后是速率匹配过程：由于Polar码编码后的码长(即母码码长)为2的正整数次幂，而实际应用中一般需要通过速率匹配实现任意码长的Polar码，通常可以采用打孔(puncture)或缩短(shorten)的方案实现速率匹配，具体实现是删掉2的正整数次幂的码长中的部分N-M个比特，得到目标码长，其中N、M、N1、N2均为正整数。
本发明实施例提供的编码方法涉及图2b所示的Polar码编码过程，最主要涉及构造过程，即如何确定信息比特的位置。本发明实施例提供一种编码方法，基于获取的包含N个极化信道序号的第一序列来确定待编码比特中信息比特的位置，可以提高Polar码的性能。
由于Polar码编码后的母码码长为2的正整数次幂，而Polar码输出的目标码长可以为2的正整数次幂或不为2的正整数次幂，在Polar码输出的目标码长为2的正整数次幂时，无需进行速率匹配；在Polar码输出的目标码长不为2的正整数次幂时，则需要进行速率匹配。
图3a描述了一种编码法方法流程300，下面结合图3a来详细描述如下各个实施例。
实施例一
该实施例所提供的编码方法包括：
S301、确定N个待编码比特。
其中，N＝M，M作为Polar码输出的目标码长等于2的正整数次幂，M为正整数；N个待编码比特对应N个极化信道，一个比特对应一个极化信道。
S302、获取包含N个极化信道序号的第一序列。
在本发明的一个实施例中，附录表1给出了N在取不同值时所对应的第一序列。表1中N为待编码比特长度，表格中的各个第一序列中的元素为极化信道的序号。表1的全部或者部分第一序列可以存储在应用本实施方式的通信***中。
需要说明的是，表1以及后续实施例中涉及到的表2、表3和表4，仅仅为举例，在不影响其整体效果的前提下，对于表1、表2、表3和表4中的序列可以做包括但不限于如下几方面的调整或者等同替换：
1、表1、表2、表3和表4中各个第一序列中少数元素之间的位置互换。例如，各个第一序列中间隔不超过10的两个元素之间的位置进行互换；
2、表1、表2、表3和表4中各个第一序列中包含从1开始到N结束的N个元素，N为母码码长，从1开始到N结束的N个元素代表N个极化信道的序号。实际上，N个极化信道的序号也可以从0开始到N-1结束，因此，将目前附录中表1、表2、表3和表4中各个第一序列中各个元素减去1即可形成包含从0开始到N-1结束的N个元素。当然，也可以采取其他方式表示上述极化信道的序号或者标识，该具体表达方式不影响表格中所表示的极化信道的具***置。
3、表1、表2、表3和表4中各个第一序列中的元素可以逆序。
S303、基于第一序列确定N个待编码比特中信息比特的位置。
具体地，在该第一序列中取前K个或后K个极化信道序号所对应的极化信道的位置作为信息比特的位置，其他极化信道位置作为固定比特的位置，从而得到信息比特和固定比特的位置，其中，K为N个待编码比特中信息比特的个数，K为小于N的正整数。
需要说明的是，本实施例并不限制一定取第一序列中前K个或后K个极化信道序号所对应的极化信道的位置作为信息比特的位置。
进一步，第一序列确定的信息比特的位置满足包含关系，即，确定出K个信息比特位置的集合是K+m个信息比特位置的集合的子集，其中，m为正整数，从而降低Polar码编码的存储复杂度。
S304、对N个待编码比特进行Polar编码以得到编码比特。
具体地，可以使用Polar码的编码矩阵FN完成待编码比特的编码过程，进而得到Polar编码后的编码比特。
上述实施方式与其他实施方式相比，不同主要在于步骤S302，这样通信***中通过存储第一序列S大大减小构造第一序列的计算复杂度。
实施例二
在本发明的另一个实施例中，实施例一中S302中所述的第一序列，替换的，可以根据N个第二序列S1，S2，…，SN生成第一序列S′N，第二序列Si包含i个极化信道的序号，即包含i个元素，且第二序列Si基于N个极化信道的可靠度确定，1≤i≤N，i为正整数。
具体地，如图3b所示，S302a：根据N个第二序列S1，S2，…，SN生成第一序列S′N包括：
S302a1、确定N个第二序列S1，S2，…,SN；针对第二序列Si，1≤i≤N，第二序列Si的确定过程为：
确定N个极化信道的可靠度；
根据所述N个极化信道的可靠度确定第二序列Si，其中，第二序列Si中包含i个极化信道序号，该i个极化信道序号对应i个极化信道，该i个极化信道中任一极化信道的可靠度大于该N个极化信道中除该i个极化信道之外的(N-i)个极化信道的可靠度。
需要说明的是，第二序列Si中所包含的i个元素(即i个极化信道序号)可以按照极化信道的可靠度进行排序，也可以不按照极化信道的可靠度进行排序，即其可以是一个没有排序的集合。
例如，针对第二序列S1，确定N个极化信道的可靠度，将确定出的N个极化信道的可靠度中最大可靠度所对应的极化信道的序号做组成的序列作为第二序列S1，即S1中包含最大可靠度所对应的极化信道的序号，并且由于S1中包含一个元素，因此，S1中所包含的元素不存在排序的概念。
常见的极化信道的可靠度的度量有错误概率、信道容量和极化权重等，例如，可以利用高斯近似算法或密度进化算法来确定极化信道的可靠度。本发明对于采用何种算法来确定极化信道的可靠度不做限定。
S302a2、初始化第一序列S′1＝S1；
S302a3、计算第一序列S′i
具体的，采用如下公式计算第一序列S′i：
S′j＝S′j-1+(S′j-1\Sj)
其中，2≤j≤N，j为正整数，\表示计算两个序列的差集，例如，序列[1 2 3]\[1 32 4]为[4]，“+”表示将前后两个序列连接以形成一个序列，例如，[3 2 1]+[4]为[3 2 14]。
j依次从2遍历到N，进而得到第一序列S′N。
本实施方式中，其他步骤S301a、S303a、S304a可以分别参考前述S301、S303、S304，此处不再赘述。该实施方式与其他实施方式相比，不同主要在于步骤S302a，这样通信***中通过不需要存储第一序列大大节约了存储资源。
实施例三
在本发明的又一个实施例中，可以根据通信***支持的最大母码码长Nmax对应的最大第一序列Smax，确定当前母码码长N对应的第一序列S。
该最大第一序列Smax可以是协议约定的，存储在通信***中，例如，最大第一序列Smax可以是实施例一中表1中的N位于256和1024之间，或者1024与2048之间时所对应的某个第一序列，也可以是根据实施例二中生成方法生成并存储的第一序列。
需要补充说明的是，目前Polar码的最大母码码长(Maximum mother code sizeof Polar code)可以为:
256≤Nmax≤1024(针对下行控制信息)
1024≤Nmax≤2048(针对上行控制信息)。
当当前母码码长N等于Nmax时，本实施方式等同于前述S301至S304或S301a至S304a，此处不再赘述。
当N小于Nmax时，如图3c所示，该实施方式包括：
S301b、确定N个待编码比特。
其中，N<Nmax且M作为Polar码的非最大目标码长不等于2的正整数次幂，M为正整数。
此时，N个待编码比特对应码长为N的当前母码，N作为当前母码码长小于最大母码码长N，且当前母码码长N需要经过速率匹配以得到目标码长M。
S302b、获取包含N个极化信道序号的第一序列。
具体地，根据通信***支持的最大母码码长Nmax对应的最大第一序列Smax，确定当前母码码长N对应的第一序列，具体包括：
S302b1、获取最大母码码长Nmax对应的最大第一序列Smax。
如前文所述，可以直接从存储器中获取该最大第一序列Smax，最大第一序列Smax可以是协议约定的，存储在通信***中，例如，最大第一序列Smax可以是实施例一中表1中的N位于256和1024之间，或者1024与2048之间时所对应的某个第一序列，也可以是根据实施例二中生成方法生成并存储的第一序列。
S302b2、确定N个编码中要删除的N-M个比特的位置，其中，N个待编码比特对应该N个编码比特；
由于当前母码码长N需要经过速率匹配以得到目标码长M，通常可以采用打孔模式中打孔位置或缩短(shorten)模式中shorten位置实现速率匹配，因此，要删除的N-M个比特的位置可以是打孔模式中打孔位置或缩短(shorten)模式中shorten位置，其中，打孔模式可以是从前往后或从前往后的比特逆序，shorten模式可以是从后往前或从后往前的比特逆序。
下面将分别描述打孔位置或shorten位置：
1、打孔位置
1)从前往后
前面N-M个比特的位置设置为0，其他比特的位置设置为1，即其中，“0”表示打孔位置，“1”表示未打孔位置。
2)从前往后的比特逆序
对从前往后的打孔位置进行比特逆序，比特逆序是指把一个十进制整数转换成二进制形式，把二进制元素的顺序取反，把取反后的二进制数转换成十进制，新得到的数即是原数的比特逆序值。
具体地，初始化长度为N的辅助序列(即从前往后的打孔位置)，设置前N-M个元素为0，后M个元素为1，N表示母码码长，M表示目标码长，其中，其中，“0”表示打孔位置，“1”表示未打孔位置，该辅助序列为：
对该辅助序列进行比特逆序重排，得到打孔模式即为从前往后的比特逆序打孔模式，其中
D(b1b2...bn)将二进制序列b1b2...bn转换成十进制数，
2、shorten位置
1)从后往前
后面N-M个比特的位置设置为0，其他比特的位置设置为1，即其中，“0”表示shorten位置，“1”表示非shorten位置。
2)从后往前的比特逆序
对从后往前的shorten位置进行比特逆序。
具体地，初始化长度为N的辅助序列，设置前M个元素为1，后N-M个元素为0，N表示母码码长，M表示目标码长，该辅助序列为：
对进行比特逆序重排，得到打孔模式其中“0”所在位置的编码比特被shorten，其中
其中，D(b1b2...bn)将二进制序列b1b2...bn转换成十进制数，
S302b3、依次读取最大第一序列Smax中极化信道序号，并且将最大第一序列Smax中不在所述N-M个比特的位置且不大于N的极化信道序号依次读出；
S302b4、当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为该非最大母码码长N所对应的第一序列。
S303b、基于该第一序列确定N个待编码比特中信息比特的位置。
具体地，可以取第一序列中前K个或后K个极化信道序号所对应的极化信道的位置作为信息比特的位置，其他极化信道位置作为固定比特的位置，其中，K为N个待编码比特中信息比特的个数。
S304b、对该N个待编码比特进行Polar编码以得到编码比特。
从该实施方式看出，该实施方式与其他实施方式相比，不同主要在于步骤S302b，这样，通信***中仅需要存储最大第一序列Smax，从而节省了存储空间，另外，第一序列的构造过程的计算复杂度也相对较低。
实施例四
在本发明的又一个实施例中，可以根据母码码长N在无需进行速率匹配时所对应的第四序列，确定同样的母码码长N在需要进行速率匹配时所对应的第一序列。
其中，母码码长N在无需进行速率匹配时所对应的第四序列可以是协议约定的，存储在通信***中，例如，第四序列可以是实施例一表1中N在取不同的值时所对应的第一序列，也可以是根据实施例二中生成方法生成并存储的第一序列。
如下将描述母码码长N在需要进行速率匹配时如何确定对应的第一序列。如图3d所示，该实施方式包括：
S301c、确定N个待编码比特。
其中，M作为Polar码的目标码长不等于2的正整数次幂，M为正整数。
此时，N个待编码比特对应码长为N的母码，母码码长N需要经过速率匹配以得到目标码长M。
S302c、获取包含N个极化信道序号的第一序列；
具体地，根据母码码长N在无需进行速率匹配时所对应的第四序列，确定母码码长N对应的第一序列，具体包括：
S302c1、获取母码码长N在无需进行速率匹配时所对应的第四序列。
如前文所述，母码码长N在无需进行速率匹配时所对应的第四序列可以是协议约定的，存储在通信***中，例如，第四序列可以是实施例一表1中N在取不同的值时所对应的第一序列，也可以是根据实施例二中生成方法生成并存储的第一序列。
S302c2、确定N个编码比特中要删除的N-M个比特的位置，其中，N个待编码比特对应该N个编码比特。
由于母码码长N需要经过速率匹配以得到目标码长M，通常可以采用打孔模式中打孔位置或缩短(shorten)模式中shorten位置实现速率匹配，因此，要删除的N-M个比特的位置可以是打孔模式中打孔位置或缩短(shorten)模式中shorten位置，关于打孔位置或shorten位置可以参考前面相关描述。
S302c3、依次读取第四序列中极化信道序号，并且将第四序列中不在所述N-M个比特的位置的极化信道序号依次读出；
S302c4、当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为母码码长N在需要进行速率匹配时所对应的第一序列。
S303c、基于该第一序列确定N个待编码比特中信息比特的位置。
具体地，可以取第三序列中前K个或后K个极化信道序号所对应的极化信道的位置作为信息比特的位置，其他极化信道位置作为固定比特的位置，其中，K为N个待编码比特中信息比特的个数。
需要说明的是，本实施例并不限制一定取第一序列中前K个或后K个极化信道序号所对应的极化信道的位置作为信息比特的位置。
S304c、对该N个待编码比特进行Polar编码以得到编码比特。
具体地，可以使用Polar码的编码矩阵FN完成待编码比特的编码过程，进而得到Polar编码后的编码比特。
从该实施方式看出，该实施方式与其他实施方式相比，不同主要在于步骤S302c，这样，通信***中仅需要存储母码码长N在无需进行速率匹配时所对应的第四序列，从而节省了存储空间，另外，母码码长N在需要进行速率匹配时所对应的第一序列的构造过程的计算复杂度也相对较低。
实施例五
与上述实施例四相比，在该实施例中，根据相关的附录中的表来确定母码码长N在需要进行速率匹配时所对应的第一序列。
图4a描述本发明另一个实施例提供的编码方法流程400，具体地，该编码流程包括：
S401、确定N个待编码比特，其中，M作为Polar码的目标码长不等于2正整数次幂，M为正整数。
此时，母码码长N需要经过速率匹配以得到目标码长M。
S402、获取包含N个极化信道序号的第一序列。
在本发明的一个实施例中，附录表2给出了M和N在取不同值时所对应的第一序列。表2中M为Polar码的目标码长，N为待编码比特的个数，各个第一序列中的元素为极化信道序号。
在本发明的又一个实施例中，附录表3给出了M和N在取不同值时所对应的第一序列。表3中M为Polar码的目标码长，N为待编码比特的个数，各个第一序列中的元素为极化信道序号。
在本发明的又一个实施例中，附录表4给出了M和N在取不同值时所对应的第一序列。表4中M为Polar码的目标码长，N为待编码比特的个数，各个第一序列中的元素为极化信道序号。
针对表2、表3和表4中序列的等同替换可以参见实施例一中相关描述。
S403、基于上述第一序列确定N个待编码比特中信息比特的位置。
具体地，在该第一序列中取前K个极化信道序号所对应的极化信道的位置作为信息比特的位置，其他极化信道位置作为固定比特的位置，从而得到信息比特和固定比特的位置，其中，K为N个待编码比特中信息比特的个数。
需要说明的是，本实施例并不限制一定取第一序列中前K个或后K个极化信道序号所对应的极化信道的位置作为信息比特的位置。
S404、对N个待编码比特进行Polar编码以得到编码比特。
具体地，可以使用Polar码的编码矩阵FN完成待编码比特的编码过程，进而得到Polar编码后的编码比特。
实施例六
与上述实施例五类似的，在本发明的又一个实施例中，根据根据N个第二序列S1，S2，…，SN来确定母码码长N在需要进行速率匹配时所对应的第一序列。
具体地，针对前述S402，替换的，可以根据N个第二序列S1，S2，…，SN确定第一序列，第二序列Si包含i个极化信道的序号，即包含i个元素，且第二序列Si基于N个极化信道的可靠度确定，1≤i≤N，i为正整数。
具体地，如图4b所示，S402a：根据N个第二序列S1，S2，…，SN确定第一序列包括：
S402a1、确定N个第二序列S1，S2，…,SN。
针对第二序列Si，1≤i≤N，第二序列Si的确定过程为：
确定N个极化信道的可靠度；
根据所述N个极化信道的可靠度确定第二序列Si，其中，第二序列Si中包含i个极化信道序号，该i个极化信道序号对应i个极化信道，该i个极化信道中任一极化信道的可靠度大于该N个极化信道中除该i个极化信道之外的(N-i)个极化信道的可靠度。
需要说明的是，第二序列Si中所包含的i个元素(即i个极化信道序号)可以按照极化信道的可靠度进行排序，也可以不按照极化信道的可靠度进行排序，即其可以是一个没有排序的集合。
例如，针对第二序列S1，确定N个极化信道的可靠度，将确定出的N个极化信道的可靠度中最大可靠度所对应的极化信道的序号做组成的序列作为第二序列S1，即S1中包含最大可靠度所对应的极化信道的序号，并且由于S1中包含一个元素，因此，S1中所包含的元素不存在排序的概念。
常见的极化信道的可靠度的度量有错误概率、信道容量和极化权重等，例如，可以利用高斯近似算法或密度进化算法来确定极化信道的可靠度。本发明对于采用何种算法来确定极化信道的可靠度不做限定。
通常可以采用打孔模式或缩短(shorten)模式来实现速率匹配，在打孔模式中打孔位置可以为从前往后或从前往后的比特逆序，在shorten模式中shorten位置可以为从后往前或从后往前的比特逆序，不同的打孔位置或shorten位置会导致确定出的极化信道的可靠度不同，进而产生不同的第二序列Si，例如，在高斯近似算法中，不同的打孔位置或shorten位置会影响初始化值，进而计算出不同的错误概率，关于在高斯近似算法中如何利用打孔位置或shorten位置来计算错误概率后面有进一步的描述。
S402a2、初始化第一序列S′1＝S1；
S402a3、计算第一序列S′i；
具体地，基于如下公式，计算第一序列S′i：
S′j＝S′j-1+(S′j-1\Sj)
其中，2≤j≤N，j为正整数，\表示计算两个序列的差集，例如，序列[1 2 3]\[1 32 4]为[4]，“+”表示将前后两个序列连接以形成一个序列，例如，[3 2 1]+[4]为[3 2 14]。
j依次从2遍历到N，进而得到第一序列S′N。
本实施方式中，其他步骤S401a、S403a、S404a可以分别参考前述S401、S403、S404，此处不再赘述。
上述实施方式与其他实施方式相比，不同主要在于步骤S402a，这样通信***中通过不需要存储第一序列S大大节约了存储资源。
针对前述各个实施方式，下面将描述利用高斯近似算法计算N个极化信道的错误概率的过程：
1、对N个极化信道中每个极化信道对应的对数似然比均值进行初始化，以得到对数似然比均值的初始值。
对Polar码中的每个码符号位置，进行对应的对数似然比的初始化，得到各码符号位置的对数似然比均值初始值。
在图3对应实施例中，即无需速率匹配情形(无需打孔或shorten)，使用如下公式计算各码符号位置的对数似然比均值初始值。
其中，表示第i个码符号位置的对数似然比均值初始值，σ用于指示信号的噪声。
在图4对应实施例中，即需要速率匹配情形，针对打孔模式或shorten模式分别提供不同的初始值。
在打孔模式中，使用如下公式计算各码符号位置的对数似然比均值初始值：
其中，puncturingx(i)表示第i个码符号位置为打孔位置，Nopuncturingx(i)表示第i个码符号位置非打孔位置。x(i)表示第i个码符号位置，表示第i个码符号位置的对数似然比均值初始值，σ用于指示信号噪声的标准差。
在缩短(shorten)模式中，使用如下公式计算各码符号位置的对数似然比均值初始值：
个码符号位置为非shorten位置。
2、在对数似然比均值的初始值的基础上，对对数似然比均值递归更新。
在上述计算出的对数似然比均值的初始值的基础上，进行该对数似然比均值的递归更新。
其使用的公式包括：
其中，公式一是对和进行了定义。
公式二涉及到了而可表示为：
3，根据更新后的对数似然比均值得到N个极化信道的错误概率。
根据更新后的对数似然比均值，得到Polar码的第i个比特信道的错误概率。
其使用的公式包括：
其中，pi表示第i个极化信道的错误概率，Q(*)表示通信中常用的Q函数，例如，Q函数可以定义为
如下将结合图5来描述本发明实施例提供的编码装置500，编码装置500包括：
确定模块501，用于确定N个待编码比特，N为正整数；
获取模块502，用于获取包含N个极化信道序号的第一序列；
确定模块501，还用于根据所述第一序列确定所述N个待编码比特中信息比特的位置；
编码模块503，用于对所述N个待编码比特进行Polar编码以得到编码比特。
在本发明的一个实施例中，确定模块501具体用于：
根据M确定N,其中，N＝M，所述M为Polar码输出的目标码长，所述M等于2的正整数次幂，M为正整数。
相应地，获取模块502具体用于：
从附录表1中序列或表1中序列的等同替换序列得到包含N个极化信道序列的第一序列。
在本发明的又一个实施例中，确定模块501具体用于：
根据M确定N,其中，符号表示向下取整，所述M为Polar码输出的目标码长，所述M不等于2的正整数次幂，M为正整数。
相应地，在该实施例的第一种可实施方式中，所述N个待编码比特对应码长为N的母码，获取模块502具体用于：
根据通信***支持的最大母码码长Nmax对应的最大第一序列Smax确定所述母码码长N所对应的第一序列，其中，所述母码码长N所对应的第一序列为所述包含N个极化信道序号的第一序列。
进一步，所述最大第一序列Smax为附录表1中序列或表1中序列的等同替换序列之一，所述N个待编码比特对应N个编码比特；
获取模块502具体用于：
确定所述N个编码比特中要删除的N-M个比特的位置；
依次读取所述最大第一序列Smax中极化信道序号，并且将所述最大第一序列Smax中不在所述N-M个比特的位置且不大于N的极化信道序号依次读出；
当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为所述母码码长N所对应的所述第一序列。
相应地，在该实施例的第二种可实施方式中，所述N个待编码比特对应码长为N的母码，获取模块502具体用于：
根据在无需进行速率匹配时所述母码码长N所对应的第四序列，确定在需要进行速率匹配时所述母码码长N所对应的第一序列，其中，所述母码码长N所对应的第一序列为所述包含N个极化信道序号的第一序列。
进一步，所述第四序列为附录中表1中序列或表1中序列的等同替换序列之一，所述N个待编码比特对应N个编码比特；
获取模块502具体用于：
确定所述N个编码比特中要删除的N-M个比特的位置；
依次读取第四序列中极化信道序号，并且将第四序列中不在所述N-M个比特的位置的极化信道序号依次读出；
当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为所述母码码长N在需要进行速率匹配时所对应的第一序列。
相应地，在该实施例的第三种可实施方式中，获取模块502具体用于：
从附录中表2、表3或表4中序列或者所述表2、表3或表4中序列的等同替换序列得到包含N个极化信道序列的第一序列。
在本发明的又一个实施例中，获取模块502具体用于：
根据N个第二序列S1，S2，…,SN确定第一序列S′N，第二序列Si包含i个极化信道序号，1≤i≤N，i为正整数。
进一步，获取模块502具体用于：
确定N个第二序列S1，S2，…,SN；
初始化第一序列S′1＝S1；
设置j从2遍历到N，基于如下公式计算得到第一序列S′N：
S′j＝S′j-1+(S′j-1\Sj)
其中，2≤j≤N，j为正整数，“\”表示计算两个序列的差集，“+”表示将前后两个序列进行连接以形成一个序列。
图6为本发明实施例所提供的通信装置600的结构示意图(例如接入点或基站、站点或者终端等通信装置，或者前述通信装置中的芯片等)。
如下图6所示，通信装置600可以由总线601作一般性的总线体系结构来实现。根据通信装置600的具体应用和整体设计约束条件，总线601可以包括任意数量的互连总线和桥接。总线601将各种电路连接在一起，这些电路包括处理器602、存储介质603和总线接口604。可选的，通信装置600使用总线接口604将网络适配器605等经由总线601连接。网络适配器605可用于实现无线通信网络中物理层的信号处理功能，并通过天线607实现射频信号的发送和接收。用户接口606可以连接用户终端，例如：键盘、显示器、鼠标或者操纵杆等。总线601还可以连接各种其它电路，如定时源、***设备、电压调节器或者功率管理电路等，这些电路是本领域所熟知的，因此不再详述。
可以替换的，通信装置600也可配置成通用处理***，例如通称为芯片，该通用处理***包括:提供处理器功能的一个或多个微处理器；以及提供存储介质603的至少一部分的外部存储器，所有这些都通过外部总线体系结构与其它支持电路连接在一起。
可替换的，通信装置600可以使用下述来实现:具有处理器602、总线接口604、用户接口606的ASIC(专用集成电路)；以及集成在单个芯片中的存储介质603的至少一部分，或者，通信装置600可以使用下述来实现：一个或多个FPGA(现场可编程门阵列)、PLD(可编程逻辑器件)、控制器、状态机、门逻辑、分立硬件部件、任何其它适合的电路、或者能够执行本发明通篇所描述的各种功能的电路的任意组合。
其中，处理器602负责管理总线和一般处理(包括执行存储在存储介质1203上的软件)。处理器602可以使用一个或多个通用处理器和/或专用处理器来实现。处理器的例子包括微处理器、微控制器、DSP处理器和能够执行软件的其它电路。应当将软件广义地解释为表示指令、数据或其任意组合，而不论是将其称作为软件、固件、中间件、微代码、硬件描述语言还是其它。
在下图中存储介质603被示为与处理器602分离，然而，本领域技术人员很容易明白，存储介质603或其任意部分可位于通信装置600之外。举例来说，存储介质603可以包括传输线、用数据调制的载波波形、和/或与无线节点分离开的计算机制品，这些介质均可以由处理器602通过总线接口604来访问。可替换地，存储介质603或其任意部分可以集成到处理器602中，例如，可以是高速缓存和/或通用寄存器。
处理器602可执行上述实施例中，例如，图3a、图3b、图3c、图3d、图4a和图4b依次对应的上述实施例一、实施例二、实施例三、实施例四、实施例五和实施例六，在此不再对处理器602的执行过程进行赘述。
本申请实施例所说的通信装置，可以是接入点、站点、基站或者用户终端等无线通信设备。
本申请实施例所说的的Polar码，包括但不限于Arikan Polar码，还可以是CA-Polar码或者PC-Polar码。Arikan Polar是指原始的Polar码，没有与其它码级联，只有信息比特和冻结比特。CA-Polar码是Polar码级联了循环冗余校验(Cyclic Redundancy Check，简称CRC)的Polar码，PC-Polar码是Polar码级联了奇偶校验(Parity Check，简称PC)的码。PC-Polar和CA-Polar是通过级联不同的码来提高Polar码的性能。
本申请实施例所说的“信息比特序列”，也可以叫做“待编码比特序列”或者“信息比特集合”，相应的，“信息比特个数”可以是待编码比特序列中待编码比特的个数，或者信息比特集合中的元素个数。
本申请实施例描述的各示例的单元及方法过程，能够以电子硬件、或者计算机软件和电子硬件的结合来实现。这些功能究竟以硬件还是软件方式来执行，取决于技术方案的特定应用和设计约束条件。专业技术人员可以对每个特定的应用来使用不同方法来实现所描述的功能。
在本申请所提供的几个实施例中，应该理解到，所揭露的装置和方法，可以通过其它的方式实现。例如，以上所描述的装置实施例仅仅是示意性的，例如，所述单元的划分，仅仅为一种逻辑功能划分，实际实现时可以有另外的划分方式。例如多个单元或组件可以结合或者可以集成到另一个***，或一些步骤可以忽略，或不执行。此外，各个单元相互之间的耦合或直接耦合或通信连接可以是通过一些接口实现，这些可以是电性、机械或其它的形式。
所述作为分离部件说明的单元可以是或者也可以不是物理上分开的，既可以位于一个地方，也可以分布到多个网络单元上。
另外，在本申请各个实施例中的各功能单元可以集成在一个处理单元中，也可以是各个单元单独物理存在，也可以两个或两个以上单元集成在一个单元中。
在上述实施例中，可以全部或部分地通过软件、硬件、固件或者其任意组合来实现。当使用软件实现时，可以全部或部分地以计算机程序产品的形式实现。所述计算机程序产品包括一个或多个计算机指令。在计算机上加载和执行所述计算机程序指令时，全部或部分地产生按照本发明实施例所述的流程或功能。所述计算机可以是通用计算机、专用计算机、计算机网络、或者其他可编程装置。所述计算机指令可以存储在计算机可读存储介质中，或者从一个计算机可读存储介质向另一个计算机可读存储介质传输，例如，所述计算机指令可以从一个网站站点、计算机、服务器或数据中心通过有线(例如同轴电缆、光纤、数字用户线(DSL))或无线(例如红外、无线、微波等)方式向另一个网站站点、计算机、服务器或数据中心进行传输。所述计算机可读存储介质可以是计算机能够存取的任何可用介质或者是包含一个或多个可用介质集成的服务器、数据中心等数据存储设备。所述可用介质可以是磁性介质，(例如，软盘、硬盘、磁带)、光介质(例如，DVD)、或者半导体介质(例如固态硬盘Solid State Disk(SSD))等。
附录：
表1
N＝32
32,31,30,28,24,16,29,27,26,23,22,15,20,14,12,25,8,21,19,13,18,11,10,7,6,4,17,9,5,3,2,1
N＝64
64,63,62,60,56,48,61,32,59,58,55,54,47,52,46,31,44,57,30,40,53,28,51,24,45,50,43,16,42,29,39,27,38,26,23,36,22,49,15,20,41,14,12,37,25,35,8,21,34,19,13,18,11,10,7,6,33,4,17,9,5,3,2,1
N＝128
128,127,126,124,120,112,125,96,123,122,119,64,118,111,116,110,95,108,121,94,104,117,92,63,115,62,88,109,114,60,107,80,106,93,56,103,91,102,48,90,87,61,100,86,59,32,113,79,58,84,55,78,105,54,76,101,47,52,89,99,46,72,85,98,31,44,83,30,57,77,40,82,28,53,75,51,74,24,45,71,50,70,43,16,42,29,97,68,39,27,38,81,26,23,36,73,22,49,15,69,20,14,41,67,12,37,66,25,35,8,21,34,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1
N＝256
256,255,254,252,248,240,253,224,251,250,247,192,246,239,244,238,128,223,236,249,222,232,245,220,191,243,190,216,237,242,188,235,127,208,234,221,126,184,231,219,124,230,176,218,215,189,228,120,214,187,160,241,207,186,212,112,183,206,233,125,182,204,229,123,96,175,180,217,122,174,227,200,119,213,226,159,172,64,118,211,158,111,185,205,116,168,2 10,110,156,181,203,95,108,179,202,152,173,199,94,121,178,104,198,171,92,144,117,63,170,157,196,225,167,115,62,88,109,155,166,114,60,209,154,107,80,151,164,106,93,56,201,150,103,177,91,143,102,197,148,48,90,142,169,87,100,61,195,140,86,59,165,32,194,113,79,153,58,84,136,163,55,78,105,149,54,162,76,101,147,47,52,89,141,46,72,99,146,139,85,44,31,98,138,83,30,57,135,77,40,82,193,28,53,134,75,51,161,74,132,24,45,71,50,70,43,145,16,42,29,68,39,97,137,27,38,81,26,133,23,36,22,73,131,49,15,20,69,130,14,41,67,12,37,66,25,35,8,21,34,19,129,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1
N＝512
512,511,510,508,504,496,509,480,507,506,503,448,502,495,500,494,384,479,492,505,478,488,501,256,476,447,499,446,472,493,498,444,383,491,464,490,477,382,440,487,475,486,380,432,255,474,471,484,445,376,254,470,443,416,497,463,252,442,468,368,439,462,489,381,438,248,460,379,485,352,431,436,473,378,430,483,456,240,375,469,253,482,415,428,320,374,467,414,367,441,251,224,372,461,424,466,366,250,412,437,459,247,351,364,435,458,192,246,408,429,455,350,377,434,239,360,244,454,427,348,400,373,238,319,426,413,128,452,481,423,371,318,236,223,344,365,411,422,370,222,316,249,465,410,363,232,336,407,420,220,245,362,349,191,312,457,406,359,433,243,347,190,399,358,216,453,404,237,304,346,242,398,188,425,343,356,317,235,127,451,208,396,342,315,234,421,288,221,126,184,450,231,369,335,409,314,340,219,392,419,311,230,334,124,361,176,405,218,310,418,215,228,332,189,120,357,303,403,214,308,187,345,397,160,302,328,355,402,241,207,186,212,112,395,341,183,300,206,287,354,233,125,394,182,339,286,313,204,391,333,296,123,229,96,175,338,180,284,309,390,217,449,122,331,174,200,227,119,307,213,330,280,388,172,159,226,118,64,301,327,417,306,211,158,111,185,326,299,116,205,168,272,401,210,110,156,298,181,285,203,324,295,353,108,95,393,179,283,202,152,294,173,199,94,121,178,282,104,337,198,279,171,292,389,92,144,117,63,278,170,157,329,196,387,167,62,115,88,225,271,305,109,155,276,166,114,325,386,60,270,154,107,209,80,297,151,164,323,106,268,93,56,150,103,201,293,322,91,143,102,281,177,148,264,291,197,48,90,142,87,100,277,61,169,290,195,140,86,59,32,275,165,194,79,113,269,84,58,153,136,274,55,163,78,267,105,149,54,162,385,76,266,101,147,47,52,263,89,141,46,72,99,146,262,321,139,85,44,98,31,289,138,260,83,30,57,40,77,135,82,28,53,134,193,75,273,51,74,132,24,161,45,71,265,50,43,70,16,145,42,261,29,68,39,97,137,27,259,38,81,26,133,258,23,36,22,73,131,15,49,20,69,130,14,41,67,12,37,66,25,257,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1
N＝1024
1024,1023,1022,1020,1016,1008,1021,992,1019,1018,1015,960,1014,1007,1012,1006,896,991,1004,1017,990,1000,1013,768,988,959,1011,958,984,1005,1010,956,895,1003,976,512,1002,989,894,952,999,987,892,998,944,767,986,983,957,996,888,766,982,955,928,1009,975,764,954,980,880,951,974,1001,893,511,950,760,972,891,997,864,510,943,948,985,890,942,995,968,752,887,508,981,765,994,927,940,832,886,979,504,926,879,953,763,736,884,973,936,978,878,762,924,949,971,759,496,863,876,947,970,704,758,920,509,941,967,862,889,946,751,872,507,756,966,939,480,860,912,885,750,831,506,938,925,640,964,993,935,503,883,830,748,856,735,877,923,934,448,882,502,734,828,761,977,922,875,744,495,848,919,932,500,732,874,757,861,703,824,494,918,969,871,755,859,702,945,384,911,870,728,916,965,492,479,749,816,858,754,910,700,855,937,868,829,478,747,639,505,963,720,488,908,854,827,746,933,800,733,638,696,476,962,501,743,881,847,447,256,921,852,826,731,904,931,823,742,846,636,446,499,472,873,688,730,917,493,822,930,727,498,740,844,701,444,632,869,815,915,491,383,726,820,464,699,857,909,672,814,840,867,914,490,719,753,477,382,440,724,698,487,624,907,853,695,812,718,799,866,475,745,637,486,380,906,694,851,798,825,432,716,474,903,255,845,808,635,741,608,687,471,484,850,445,692,796,376,821,902,729,634,686,254,843,961,712,470,739,631,443,416,819,725,842,463,497,792,684,900,671,738,630,252,468,576,442,813,839,368,929,818,439,462,723,670,623,697,489,381,838,811,628,680,717,438,784,248,722,622,460,913,668,810,693,379,797,485,431,352,715,836,807,436,865,620,473,607,378,691,430,905,456, 795,664,483,714,806,240,375,685,606,711,633,690,469,794,428,616,415,253,374,482,849,320,710,791,683,804,901,604,656,467,629,414,575,367,251,441,224,372,790,682,424,461,669,841,708,679,366,466,574,899,627,412,600,250,737,783,437,817,621,667,459,788,247,678,837,626,898,364,351,572,782,435,666,458,619,408,246,721,192,809,592,663,429,350,676,455,835,377,434,618,360,780,239,605,568,662,244,615,454,427,713,805,348,400,834,373,238,319,603,655,689,793,614,426,413,660,776,452,709,803,128,423,318,560,371,602,344,236,654,223,481,599,365,411,612,789,573,681,422,370,802,707,222,316,652,598,249,410,363,465,232,571,787,544,336,677,407,420,706,591,625,220,362,781,596,245,570,312,349,191,665,406,359,648,786,457,567,590,675,347,190,243,779,617,399,433,358,216,661,566,404,674,237,453,304,588,897,346,242,398,778,188,343,559,356,613,659,317,564,425,235,775,127,208,451,601,653,558,396,342,584,611,658,315,234,288,221,126,184,421,774,833,450,231,335,369,651,597,556,409,340,314,543,610,219,392,311,230,334,124,419,650,542,772,595,176,361,218,569,405,310,647,801,552,589,418,215,228,332,189,594,120,540,357,303,403,565,646,705,214,308,187,160,587,345,302,397,328,785,207,355,402,563,241,586,536,212,186,644,112,395,557,341,583,183,300,206,287,673,354,562,777,233,125,394,182,582,555,339,286,313,204,528,296,391,123,333,175,96,229,657,554,180,338,284,541,773,580,309,390,217,551,122,174,331,200,449,609,227,119,539,649,771,307,550,213,330,280,388,172,159,64,118,226,301,327,538,306,417,593,158,211,535,111,548,645,185,116,326,299,770,168,205,272,210,110,534,401,585,156,298,181,643,285,203,324,295,561,353,527,108,95,179,532,152,202,283,294,581,393,526,173,94,642,199,121,178,282,104,553,337,579,198,279,171,389,292,92,524,144,117,63,278,170,549,157,329,196,578,167,62,115,387,88,225,537,271,305,520,109,155,276,166,547,114,325,60,270,386,154,107,533,209,297,80,546,151,164,323,106,268,56,93,150,531,103,201,293,322,525,91,769,143,177,281,102,530,148,264,197,291,48,90,142,523,87,100,277,61,169,290,195,641,522,140,86,59,275,165,32,519,79,194,113,269,84,58,153,136,274,55,163,518,78,577,267,105,149,54,162,385,47,76,266,101,147,52,516,263,545,89,141,46,72,99,146,262,321,529,521,289,31,44,85,139,98,193,260,517,30,57,138,83,273,40,135,515,77,28,82,53,134,514,161,75,265,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,513,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1
N＝2048
2048,2047,2046,2044,2040,2032,2045,2016,2043,2042,2039,2038,1984,2031,2036,2030,1920,2028,2015,2014,2041,2024,2012,2037,1983,1792,2035,1982,2008,2029,2034,1980,2027,1919,2000,1536,2026,2013,1918,1976,2023,2011,2022,1916,1968,2010,1791,2007,2020,1981,1912,1790,1024,2006,1979,1952,2033,1999,1788,1978,2004,1904,1975,1998,2025,1917,1535,1974,1784,1996,1915,2021,1888,1967,1534,1972,2009,1914,1966,1992,2019,1776,1911,1532,2005,1789,1964,1951,2018,1910,1856,2003,1023,1950,1528,1903,1787,1977,1760,1908,1960,1997,2002,1902,1948,1786,1022,1973,1995,1783,1520,1900,1887,1971,1994,1020,1944,1782,1728,1533,1965,1991,1886,1913,1970,1775,1896,1780,1531,1990,1963,1504,1884,1936,1016,1909,1774,1855,1962,1530,1949,1988,1664,1959,1907,1527,1854,2017,1880,1772,1759,1901,1947,1958,1008,1906,1526,1472,1758,1852,1785,1946,1899,2001,1768,1021,1872,1519,1943,1956,1524,1756,1898,1781,1885,1848,1727,1942,1518,1019,1895,1993,992,1883,1779,1726,1969,1408,1935,1894,1752,1018,1940,1516,1503,1773,1989,1840,1015,1882,1778,1934,1724,1879,1892,1961,1853,1502,1771,1663,1014,1529,960,1987,1744,1512,1932,1878,1851,1770,1824,1757,1662,1720,1957,1007,1500,1767,1986,1871,1525,1012,1471,1905,1280,1876,1850,1945,1755,1928,1006,1847,1766,1870,1955,1660,1470,1523,1496,1712,1897,1754,1941,896,1846,1517,1954,1004,1751,1868,1764,991,1522,1725,1468,1656,1839,1893,1939,1515,1750,1844,1407,990,1488,1723,1881,1696,1933,1017,1838,1864,1000,1891,1514,1743,1938,1777,1501,1464,1406,1748,1722,1511,1648,988,1931,1877,1719,1836,1742,1013,1823,959,1890,768,1499,1661,1769,1510,1404,1718,1930,1875,1822,958,1011,1456,1740,1849,1498,984,1927,1832,1869,1659,1279,1711,1632,1765,1495,1005,1508,1874,1716,1469,1820,1010,1400,1845,1926,1753,956,1658,1710,1278,1867,1736,1494,1985,1763,1003,1655,1467,895,1440,976,1843,1866,1749,1487,1816,1708,1521,1695,1924,1654,1762,1492,1276,1600,1466,1002,512,1837,1863,952,1392,989,894,1463,1842,1486,999,1953,1694,1747,1647,1721,1405,1652,1862,1835,1513,1704,987,1741,1462,1808,998,892,1272,1646,1746,1484,1692,1937,1834,944,1717,1403,986,1455,1376,1821,1509,1739,1860,767,1460,1831,983,996,1644,1631,957,1889,1497,1402,1454,1715,1480,888,1738,1688,1819,1507,1830,1264,1399,1929,766,982,1709,1630,1735,955,1657,1714,1493,928,1818,1452,1640,1439,1277,1398,1506,1344,1873,975,1734,1815,1707,1828,1009,1925,1628,980,764,954,1680,1438,1491,1653,880,1599,1391,1275,951,1465,974,1396,1248,1814,1706,1448,1485,1693,1865,1732,893,1703,1001,1390,1490,1598,1923,1651,1436,1624,950,511,1274,1807,1761,1461,760,972,1645,1691,1483,1841,1812,1271,1702,1650,891,1861,1388,943,864,1375,1596,997,510,1922,1806,948,1459,1690,1482,1432,1643,1270,1216,1745,1616,1833,985,890,942,1687,1374,1453,1700,1479,968,1859,995,1458,1401,752,887,1642,1384,1804,1263,508,1592,1629,1686,1268,1639,1478,1451,981,1737,1372,940,1829,1424,927,886,765,994,1262,832,1397,1858,1343,1627,1679,1638,1450,1817,1713,1684,1437,1800,926,979,1476,879,504,1152,1447,1584,1342,1827,1733,763,1395,1626,953,1368,884,1260,736,1678,936,1247,973,1505,1623,1435,1389,1636,878,1597,978,1446,1813,924,1705,1394,762,1246,1340,1826,1731,949,1676,1622,971,1434,759,1273,1387,1256,1595,1489,1360,496,1568,876,1811,1431,863,1444,1701,947,1730,1615,1244,970,920,1386,758,1649,704,1620,1336,1594,1805,1373,1269,1215,509,1430,1689,862,941,967,1383,1672,1810,1591,1614,1481,946,1699,889,872,751,1371,1214,1267,1423,756,1803,1641,1240,1382,966,939,507,1457,1685,1590,860,1428,480,912,1261,750,1328,1698,1612,885,831,1477,1370,1422,1266,938,1802,1212,1583,506,1367,925,1380,1637,1921,1683,964,1341,1588,1259,1449,640,935,830,883,1151,503,1799,1232,856,748,1475,735,1582,1625,1420,1366,1677,1608,993,923,877,1339,1258,1635,934,1682,1312,1208,1245,1150,882,502,448,1445,1798,734,828,1255,1359,1474,1675,922,1621,761,1393,1580,875,1364,1857,744,1338,848,1567,1433,1634,1243,1416,977,919,495,932,1335,1254,1358,1148,1443,500,732,874,1674,1566,1619,824,1200,1796,861,757,703,1242,918,1385,494,1334,871,1593,1429,1576,1671,969,1239,1613,1356,1252,1442,1825,1213,859,702,1618,755,911,1144,1564,728,870,1327,384,1381,916,945,1427,1332,1238,1670,1589,492,479,749,1611,816,1211,858,965,1184,910,754,1326,1369,1421,1729,1352,700,855,1231,868,1379,1426,1809,478,829,1236,747,1560,1210,1587,1610,1265,937,639,720,1136,1668,505,488,963,1207,908,854,1324,1230,1419,1581,1365,1607,1311,1378,746,827,1586,800,696,638,733,476,1697,1149,933,1257,743,1206,847,1310,1418,501,962,1606,447,1579,1363,852,1228,1801,826,256,881,1552,1337,1320,921,904,731,1415,1147,1357,823,742,1199,846,1120,636,931,1253,446,1204,1578,1362,499,472,1308,688,1565,1681,730,1604,873,1414,822,1198,1146,1333,1575,1224,1241,917,1797,493,1355,727,844,740,930,1143,1251,498,701,444,1473,632,1563,1633,815,1574,1331,1304,869,1354,1196,820,726,491,1237,915,1183,1142,1673,383,1412,464,1088,1250,699,1795,672,1325,1351,814,1562,857,840,909,1330,719,1182,490,867,914,1135,440,1235,1559,724,382,477,1441,1572,698,1617,753,1140,1192,624,487,1350,1209,1323,812,695,1296,1229,718,1669,907,853,799,1134,1794,1234,866,1180,1558,475,486,637,1322,380,694,1205,745,798,1309,1227,906,1609,1425,1348,851,716,432,1319,1132,474,1667,808,1551,825,1119,903,635,687,845,255,1556,608,1203,471,1176,484,1226,1307,692,741,1585,796,850,445,1377,1318,376,1118,1550,1197,1605,1223,1417,686,902,634,821,712,729,254,470,843,1666,1202,1128,1145,1306,631,739,443,416,961,1577,1222,1303,1195,1361,1316,1116,819,792,1168,463,684,842,1603,725,1548,671,1413,630,468,900,1141,442,252,576,1087,738,497,813,368,839,1302,1194,439,462,818,1181,670,1573,1220,723,623,929,1191,1353,1086,1139,1112,1602,628,680,697,838,811,381,1411,489,438,1295,717,784,1561,1544,1249,1179,1133,1793,248,913,352,379,460,622,1329,431,1410,668,485,1571,865,722,436,693,1084,1349,378,473,607,1138,240,797,1233,1300,430,620,1557,715,810,1190,375,905,456,1570,1665,836,1104,483,1294,807,1131,664,1321,1178,691,606,1347,253,320,415,633,1080,714,795,1175,374,428,469,1555,685,1188,849,1117,482,616,711,806,1130,901,1225,1292,1549,690,367,1346,224,1127,414,604,1317,251,794,1174,441,575,1554,656,1201,372,467,629,683,710,791,1115,424,1305,737,804,1072,899,1167,366,461,1547,1126,841,1221,1288,250,1601,412,574,1315,669,1172,466,600,682,247,790,1114,437,627,708,817,1085,898,1166,351,679,1546,1111,1193,364,1301,459,621, 1124,783,1219,1314,192,1409,1543,572,837,667,246,408,626,721,788,1056,435,350,678,1083,1110,1164,377,458,592,1137,239,782,1218,1299,429,619,1542,809,1189,360,666,455,1569,835,1103,244,1293,434,568,663,1082,1177,348,676,605,1108,238,319,1298,400,618,1079,713,780,1160,373,427,454,1540,1187,834,1102,481,615,805,1129,662,1291,689,128,1345,223,318,413,603,1078,236,793,1173,344,426,560,1553,655,1186,371,452,614,709,776,1100,423,1290,803,1071,660,365,222,1125,602,1287,249,316,411,573,1076,654,1171,370,465,599,681,232,789,1113,422,612,707,802,1070,897,1165,336,1545,1096,363,1286,220,1123,410,544,1313,191,1170,571,598,652,245,312,407,625,706,787,1055,420,349,677,1068,1109,1163,362,457,591,1122,781,1217,1284,190,1541,570,359,665,216,406,596,243,786,1054,433,567,648,1081,1162,347,675,590,1107,237,304,1297,399,617,1064,779,1159,358,188,453,1539,833,1101,242,404,566,661,1052,346,674,127,1106,208,317,398,588,1077,235,778,1158,343,425,559,1538,1185,356,451,613,775,1099,184,1289,564,659,126,221,288,601,1048,234,315,342,396,558,1075,653,1156,369,450,584,231,774,1098,421,611,801,1069,658,335,1095,124,1285,219,314,409,543,1074,176,1169,340,556,597,651,230,311,392,610,705,772,1040,419,334,1067,1094,361,218,1121,542,1283,189,569,120,650,215,310,405,595,228,785,1053,418,552,647,1066,1161,332,589,1092,303,1282,160,1063,540,357,187,214,594,241,308,403,565,646,1051,345,673,112,1105,207,302,397,587,1062,777,1157,328,186,1537,355,212,402,536,183,1050,563,644,125,206,287,586,1047,233,300,341,395,557,1060,1155,354,449,583,773,1097,182,562,657,96,286,123,1046,204,313,394,528,1073,175,1154,339,555,582,229,296,391,609,771,1039,180,333,1093,122,217,284,541,1044,174,338,554,119,649,200,309,390,580,227,770,1038,417,551,1065,331,1091,64,1281,159,539,118,172,213,280,593,226,307,388,550,645,1036,330,111,1090,301,158,1061,538,327,185,116,211,306,401,535,168,1049,548,643,110,205,272,585,1032,299,326,156,1059,353,210,534,181,561,642,95,285,108,1045,203,298,393,527,1058,1153,324,581,295,152,532,179,94,121,202,283,526,1043,173,337,553,104,199,294,389,579,769,1037,178,92,282,63,1042,144,524,117,171,198,279,578,225,292,387,549,1035,329,1089,62,157,537,88,170,278,115,196,305,386,520,167,1034,547,109,271,1031,60,325,155,114,209,276,533,166,546,641,80,270,107,1030,297,154,1057,323,56,151,531,164,93,106,201,268,525,1028,322,103,293,150,530,177,91,281,48,1041,143,523,102,197,264,577,291,148,90,61,142,522,87,169,277,100,195,290,385,519,1033,32,59,86,140,113,194,275,518,165,545,79,269,1029,58,153,84,274,55,136,516,163,78,105,267,1027,321,54,149,529,162,76,266,47,1026,101,263,52,147,89,46,141,521,72,262,99,289,146,31,44,85,139,98,193,260,517,30,57,138,83,273,40,135,515,77,28,82,53,134,514,161,75,265,1025,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,513,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1
表2
M＝48,N＝64
48,32,47,46,31,44,30,40,28,45,24,43,42,39,29,16,38,27,36,26,23,22,41,20,15,37,14,25,35,12,34,21,8,19,18,13,11,10,7,33,6,4,17,9,5,3,2,1,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49
M＝72,N＝128
64,63,62,60,56,48,61,72,71,32,59,70,58,55,68,54,47,52,46,31,44,57,30,40,53,28,69,51,24,45,67,50,43,16,66,29,42,39,27,38,26,36,23,49,22,15,20,41,14,65,37,12,25,35,8,21,34,19,13,18,11,10,7,33,6,4,17,9,5,3,2,1,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73
M＝96,N＝128
96,64,95,94,92,63,62,88,80,60,93,56,91,90,48,87,61,86,79,59,84,78,58,32,55,76,54,89,47,72,52,85,46,83,44,77,57,82,31,40,75,53,30,74,51,71,28,45,50,70,24,43,68,42,16,81,39,29,38,27,73,36,26,23,49,69,22,67,41,15,20,14,66,37,12,35,25,8,34,21,19,13,18,65,11,10,7,33,6,4,17, 9,5,3,2,1,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97
M＝120,N＝128
120,112,96,119,64,118,111,116,110,108,95,94,117,104,92,115,63,109,114,62,88,107,60,106,80,93,103,56,91,102,90,48,61,100,87,113,86,59,32,79,58,84,105,55,78,54,101,76,89,47,52,99,46,72,85,98,31,44,83,57,30,77,82,40,53,28,75,51,74,24,45,71,50,70,43,16,97,42,29,68,39,27,81,38,26,23,36,73,22,49,69,15,20,41,14,67,12,37,66,25,35,8,21,34,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,128,127,126,125,124,123,122,121
M＝144,N＝256
128,127,126,124,120,112,125,144,143,96,123,142,122,119,64,140,118,111,116,136,110,95,108,121,94,104,63,117,92,141,62,115,88,109,139,114,60,107,80,138,56,93,106,135,103,91,134,48,102,90,61,100,87,132,113,32,86,59,79,58,84,105,55,78,137,54,101,76,47,89,52,99,72,46,133,85,98,31,44,57,83,30,131,77,40,82,53,28,130,75,51,24,74,71,45,50,97,70,16,43,68,29,42,81,39,27,38,26,73,36,23,49,129,22,69,15,20,41,67,14,66,12,37,25,8,35,34,21,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145
M＝160,N＝256
128,127,126,124,120,160,159,158,156,112,125,152,96,123,144,122,119,157,64,118,155,111,116,154,110,151,95,108,121,150,94,104,143,117,148,92,63,142,115,62,109,88,140,114,153,60,107,80,136,106,93,56,149,103,91,102,48,147,90,141,100,61,87,146,113,86,139,59,32,79,105,84,58,138,55,78,135,101,54,76,134,47,89,99,52,72,46,132,98,85,145,44,31,83,57,77,30,40,82,137,53,75,28,51,74,133,24,71,45,50,97,70,131,43,16,68,42,130,29,39,81,27,38,73,26,36,23,49,69,22,15,41,20,67,14,66,37,129,12,25,35,8,34,21,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161
M＝180,N＝256
128,127,126,124,176,160,175,180,174,120,179,172,159,112,125,178,158,168,96,123,156,122,119,173,152,118,64,171,111,116,110,170,157,144,167,95,108,121,177,166,155,94,104,117,154,92,164,151,63,115,88,150,109,114,62,169,143,107,148,80,60,93,106,142,165,103,56,91,140,102,153,163,90,48,87,100,136,149,162,61,113,86,32,79,59,147,84,105,141,78,58,146,55,101,76,139,54,89,99,47,138,72,52,135,85,98,46,161,134,31,83,44,77,57,30,82,132,40,145,75,53,28,74,51,71,24,45,137,50,70,97,43,16,133,68,29,42,81,39,131,27,38,73,26,130,23,36,49,69,22,15,67,20,41,14,66,37,12,25,35,8,21,129,34,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181
M＝192,N＝256
192,128,191,190,188,127,184,126,176,124,189,160,187,120,186,183,112,182,125,175,96,180,123,174,122,159,119,172,185,158,118,168,111,181,156,116,64,110,179,152,173,95,108, 178,121,171,94,144,104,157,170,117,92,167,155,115,166,88,109,63,154,114,151,164,62,107,80,177,150,93,106,60,143,103,148,169,91,142,102,56,90,165,87,140,100,48,153,113,86,61,163,136,79,149,32,84,59,162,105,78,58,147,55,101,141,76,146,89,54,99,139,72,47,85,52,98,138,46,135,83,31,44,77,134,57,82,161,30,75,40,132,53,28,74,145,71,51,24,45,70,50,97,137,43,16,68,29,42,133,81,39,27,38,131,73,26,23,36,130,69,49,22,15,67,20,41,14,66,37,12,25,35,8,21,34,129,19,13,18,65,11,10,7,6,33,4,17,9,5,3,2,1,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193
M＝240,N＝256
240,224,192,239,238,128,223,236,232,222,220,191,237,216,190,235,188,234,127,231,221,208,184,230,126,219,218,228,124,215,176,189,214,120,187,212,233,160,207,186,183,112,206,125,229,182,204,217,123,227,180,175,96,122,226,200,213,174,119,211,118,159,172,64,185,158,210,205,111,116,168,181,110,203,156,179,202,95,108,152,199,173,178,121,94,198,104,171,225,117,92,144,63,170,157,196,115,167,62,88,209,109,155,166,114,60,154,107,151,164,80,201,106,93,56,150,103,177,197,91,143,102,148,169,48,90,142,195,87,100,61,165,140,86,194,113,59,32,153,79,163,58,84,136,55,78,105,149,162,54,76,101,147,47,52,89,141,99,146,46,72,139,85,98,31,44,138,83,57,30,135,77,193,40,82,53,134,28,75,161,51,74,132,24,45,71,50,145,70,43,16,97,42,29,68,39,137,27,38,81,133,26,23,36,73,131,22,49,69,130,15,20,41,14,67,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241
M＝288,N＝512
256,255,254,252,248,240,253,288,287,224,251,286,250,247,192,284,246,239,244,128,280,238,223,236,249,272,222,232,191,245,220,285,190,243,216,237,283,242,188,127,208,235,282,126,184,279,221,234,231,124,278,219,176,230,271,218,120,189,228,215,276,241,160,187,214,270,112,207,186,212,233,125,183,206,268,96,281,182,229,123,204,175,217,264,180,227,122,200,174,119,64,277,213,226,159,172,118,185,211,111,275,158,205,116,168,269,210,110,181,156,274,203,95,108,267,179,152,202,121,94,173,199,178,104,266,225,198,144,63,171,92,117,263,196,170,157,62,115,88,167,209,262,109,155,60,114,166,80,260,107,154,201,164,151,56,273,106,93,177,103,150,197,48,143,91,102,148,169,195,142,265,90,61,100,87,194,32,165,113,140,59,86,153,261,79,163,136,58,84,105,55,78,162,149,259,54,101,76,147,47,258,89,141,52,146,99,72,46,193,139,98,85,31,44,138,30,57,135,83,40,77,161,82,134,28,53,75,132,24,51,74,145,71,45,16,50,97,257,70,43,137,68,29,42,39,27,81,38,133,26,23,36,131,73,22,49,130,15,69,20,14,41,67,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289
M＝300,N＝512
256,255,254,252,248,240,288,300,296,253,224,251,250,287,247,192,246,286,239,299,244,128,238,284,223,298,236,249,222,232,280,295,245,191,220,294,190,243,216,237,242,272,188,127,285,235,208,126,184,221,234,292,231,283,124,219,176,230,282,297,218,189,120,228 ,215,279,241,160,214,187,278,112,207,212,186,233,293,125,183,206,271,276,96,229,182,204,123,270,175,217,291,180,227,122,200,174,119,213,64,226,281,268,159,290,172,118,211,185,111,158,205,264,116,168,277,210,110,181,156,203,95,275,108,179,202,152,121,199,173,94,269,178,104,274,225,198,144,171,92,117,63,196,157,170,267,62,115,209,167,88,109,289,155,266,114,166,60,263,80,201,154,107,164,151,56,93,177,106,262,150,103,197,143,91,48,102,148,260,169,195,273,142,90,61,100,87,194,165,113,32,140,86,59,153,79,163,136,265,84,58,105,55,149,78,162,54,76,101,261,147,47,89,141,52,146,99,72,46,193,259,139,98,85,31,44,138,258,83,135,57,30,77,40,161,82,134,28,53,75,132,24,74,51,145,71,45,50,97,16,70,43,137,68,29,42,81,39,133,257,27,38,131,26,73,23,36,22,49,130,15,69,20,14,41,67,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301
M＝360,N＝512
256,255,254,252,352,320,351,350,360,248,359,348,240,319,358,253,344,318,224,251,356,316,250,336,247,349,192,246,312,347,239,244,346,238,304,343,317,223,357,236,128,249,342,222,315,232,335,355,245,191,340,220,314,288,334,311,243,190,354,216,237,332,242,310,345,188,235,303,208,308,234,221,184,127,328,341,231,302,219,126,230,339,176,300,313,218,287,333,189,124,228,215,338,241,286,296,160,214,187,331,309,120,207,353,284,186,212,233,330,307,183,206,112,327,301,280,306,182,229,125,204,326,175,217,299,180,227,96,123,272,200,174,324,298,213,226,122,285,337,295,159,119,172,211,185,64,294,283,158,118,205,168,329,210,111,181,282,292,156,116,203,279,305,110,179,325,202,152,278,173,199,95,108,178,271,121,297,323,198,225,171,276,94,144,104,270,157,170,117,322,196,63,92,293,167,209,268,155,115,62,281,166,88,109,291,154,114,201,264,60,151,164,107,290,277,80,177,150,197,106,56,93,143,275,103,148,169,269,91,195,102,142,48,274,90,194,61,165,267,321,100,87,140,153,113,32,86,59,266,163,136,263,79,149,58,162,84,105,289,55,78,262,147,54,101,141,76,260,47,146,89,52,99,273,139,72,46,193,85,98,138,31,44,135,265,57,83,30,161,77,134,40,82,53,28,261,75,132,145,51,74,24,45,71,259,50,97,70,258,16,137,43,29,68,42,39,133,81,27,38,131,26,73,36,23,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361
M＝384,N＝512
384,256,383,382,380,255,376,254,368,381,252,352,379,248,378,375,320,240,374,253,367,372,224,366,251,351,250,364,247,377,350,192,360,246,373,319,348,239,244,318,371,238,344,365,370,316,223,236,363,336,249,222,349,362,312,232,359,128,245,191,220,347,358,304,190,243,346,317,216,343,237,356,242,188,369,288,342,315,235,208,335,314,340,221,234,184,361,311,231,334,127,219,310,230,357,332,176,303,126,218,345,189,308,215,228,355,302,3 28,124,241,341,160,214,187,354,287,300,207,186,339,313,120,212,233,286,183,333,206,296,338,309,182,112,284,229,331,204,175,125,217,307,180,330,227,280,200,301,174,327,96,123,213,306,226,159,326,299,172,122,353,272,211,185,119,158,64,205,285,298,324,168,210,118,295,181,156,337,203,283,111,294,116,179,202,282,110,152,173,199,329,279,292,178,95,108,305,198,171,278,225,121,144,94,325,271,157,170,104,196,276,167,297,117,63,92,323,270,209,155,166,62,115,293,322,88,154,109,268,201,151,114,164,281,60,291,107,177,80,150,264,197,277,93,56,106,143,290,103,148,169,195,91,142,275,102,48,269,165,90,194,61,140,274,87,100,153,267,113,32,163,86,59,136,321,79,149,266,162,58,84,105,263,55,78,147,262,54,141,289,101,76,146,47,89,52,139,99,260,72,46,193,85,273,138,98,31,135,44,57,83,30,77,134,161,265,40,82,53,28,75,132,261,145,51,74,24,45,71,50,259,137,97,70,16,43,258,29,42,68,133,39,81,27,38,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385
M＝400,N＝512
384,256,383,382,380,255,376,254,400,368,252,381,399,352,379,248,378,398,375,320,240,374,253,396,367,372,224,251,366,351,250,392,364,247,377,350,192,360,246,373,319,348,239,244,371,397,318,238,344,365,370,223,316,236,395,363,249,336,222,349,362,128,312,232,359,394,245,191,220,347,391,358,243,304,190,346,216,237,317,343,356,242,390,188,369,342,235,315,288,208,335,388,234,221,314,340,184,361,231,311,334,127,219,230,310,357,126,176,332,218,303,345,189,215,228,308,355,124,393,328,302,241,214,187,341,160,354,287,207,120,300,186,212,339,233,313,183,389,206,286,333,338,296,112,182,309,229,204,284,125,331,387,175,217,180,307,227,330,96,123,200,174,280,301,327,213,306,386,226,122,159,172,119,326,299,211,185,353,272,64,158,205,118,298,285,168,210,324,295,181,111,156,203,337,116,283,294,110,179,202,152,282,173,199,95,329,178,279,292,108,121,198,171,305,94,225,278,144,104,325,157,170,117,271,196,63,92,167,276,297,209,323,155,270,115,62,166,385,88,109,154,293,114,322,268,201,151,60,164,107,281,80,177,291,150,93,106,264,197,56,103,143,277,290,148,169,91,195,102,142,48,275,90,61,165,269,87,194,100,140,274,153,113,86,32,59,163,267,136,79,149,58,84,321,162,105,266,55,78,263,147,54,101,141,76,262,289,47,146,89,52,99,139,72,46,260,85,193,98,138,31,273,44,135,83,57,30,77,134,40,82,161,53,265,28,75,132,51,74,145,24,261,45,71,50,70,43,259,97,16,137,29,42,258,68,39,133,81,27,38,131,26,73,36,23,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401
M＝480,N＝512
480,448,384,479,478,476,447,256,472,446,464,444,477,383,440,475,382,474,432,471,380,445,470,255,463,376,443,468,254,462,442,439,416,368,252,460,381,438,473,431,379,456,436,248,469,430,352,378,375,467,240,428,461,374,253,441,415,466,320,367,424,459,372,251,414,437,366,224,458,250,412,435,455,247,364,429,351,434,454,246,408,377,192,427,360,350,239,244,373,452,426,400,238,348,423,319,413,371,465,422,365,128,236,318,344,411,223,370,249,363,420,457,410,316,222,232,407,336,362,245,433,359,349,220,453,406,312,191,243,358,399,347,190,425,404,237,451,216,242,398,304,346,356,343,235,188,317,450,421,127,396 ,208,342,369,234,315,221,419,231,409,288,126,184,335,340,314,392,361,219,230,311,334,418,405,124,176,218,310,357,228,332,215,189,403,303,120,397,345,308,214,355,241,187,402,302,328,160,207,395,354,341,212,186,112,233,300,183,206,287,394,125,339,449,313,391,182,286,333,204,229,296,123,338,175,96,390,309,180,217,284,331,227,122,174,200,417,119,307,388,330,213,226,280,301,327,172,159,118,64,306,211,185,326,111,158,299,401,205,116,168,272,210,110,353,298,181,156,285,324,203,295,393,108,179,95,202,283,294,152,173,199,337,121,389,94,178,282,104,198,292,279,171,117,329,144,92,387,63,225,170,278,157,196,305,167,115,62,271,325,88,386,109,155,276,166,114,209,270,297,60,107,154,323,80,151,164,268,106,201,93,293,56,322,150,103,177,281,91,143,102,291,197,264,148,48,90,142,277,169,290,87,100,61,195,275,140,86,165,194,59,32,113,269,79,153,274,58,84,163,136,55,78,267,105,385,149,162,54,266,76,101,147,47,263,52,321,89,141,99,46,72,146,262,139,85,98,31,44,289,260,138,83,57,30,135,77,40,193,82,273,53,134,28,75,51,74,132,24,161,45,71,265,50,70,43,145,261,16,97,42,29,68,137,39,27,259,38,81,26,133,258,23,36,73,131,22,49,69,15,130,20,41,14,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481
M＝576,N＝1024
512,511,510,508,504,496,509,576,575,480,507,574,506,503,448,572,502,495,500,384,568,494,479,492,560,505,478,256,488,447,501,476,573,446,499,544,472,493,571,498,444,383,464,491,570,382,440,477,567,490,487,380,566,475,432,255,486,559,474,376,445,254,484,471,564,416,497,558,470,443,252,368,463,543,442,468,489,381,439,462,556,248,352,569,438,485,542,460,379,431,473,240,552,436,378,483,456,430,375,540,565,320,253,469,482,415,224,374,428,251,467,441,367,563,414,536,461,372,424,557,466,250,366,412,437,562,247,192,459,351,528,364,555,246,408,435,458,377,350,455,429,239,541,434,360,128,244,554,481,400,454,348,319,427,238,373,551,452,223,413,426,539,318,236,344,371,423,465,550,365,249,222,411,316,370,422,538,232,336,548,535,410,363,457,220,191,420,245,407,312,561,349,433,362,534,190,406,359,453,216,243,399,304,527,347,237,358,404,188,425,242,532,451,127,398,553,346,208,317,356,526,343,235,450,288,126,184,396,421,369,221,234,342,315,409,524,231,549,335,124,419,392,340,176,314,219,361,537,230,311,334,405,418,120,520,218,547,189,310,228,332,215,357,160,403,303,241,345,546,533,397,308,214,112,187,402,328,355,302,207,449,395,212,186,354,341,287,233,531,125,183,206,300,96,394,525,286,339,391,313,182,530,204,123,229,296,333,417,175,338,390,284,217,180,122,523,64,309,200,227,331,174,119,388,280,226,213,330,159,307,401,522,118,172,327,301,519,306,111,158,272,211,353,185,326,116,168,205,299,545,393,110,210,518,156,324,285,298,181,95,203,108,295,337,152,389,516,94,202,283,179,294,121,199,104,173,529,387,282,178,144,329,225,92,292,198,63,279,117,171,386,305,278,62,196,88,157,325,170,271,115,167,209,521,276,60,109,297,323,155,270,114,80,166,322,154,107,56,201,268,164,151,293,517,93,106,177,281,150,264,103,48,197,291,143,91,515,102,148,290,385,277,195,142,169,32,90,61,514,100,87,194,275,140,113,165,269,86,59,274,153,79,136,321,163,58,84,267,55,78,105,162,149,266,54,263,76,47,101,147,289,262,52,141,72,89,46,146,99,260,193,31,139,44,98,85,273,30,513,138,40,135,83,57,77,28,82,53,134,161,75,265,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,8 38,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577
M＝600,N＝1024
512,511,510,508,504,496,576,600,592,509,480,507,506,575,503,448,502,574,495,599,500,384,494,572,598,479,492,505,478,256,488,568,596,501,476,447,591,446,499,472,590,493,560,498,444,383,464,491,573,588,440,382,477,490,487,571,380,544,475,432,255,486,597,570,474,445,376,484,471,254,567,416,497,584,443,470,595,252,368,463,566,442,468,489,439,381,462,559,248,594,589,352,564,438,485,460,379,431,473,558,240,436,483,378,587,456,430,375,320,253,469,556,482,415,543,569,428,374,224,586,441,467,251,414,367,461,552,372,424,542,466,250,583,366,437,412,565,192,247,459,351,540,364,435,582,408,458,246,377,563,429,455,350,239,434,593,360,557,481,244,400,454,536,427,580,319,373,348,128,562,238,413,452,426,318,223,555,423,371,465,344,236,365,528,411,249,222,422,316,370,554,585,232,336,410,541,457,363,551,420,407,191,220,245,312,433,349,362,406,550,190,359,453,539,216,243,399,304,347,581,237,404,358,425,188,451,242,548,538,398,346,127,317,208,356,561,343,235,535,450,288,421,396,184,369,579,126,221,315,342,234,409,534,231,335,419,392,578,124,314,340,176,527,361,219,553,311,405,230,418,334,532,218,189,120,526,310,228,357,332,403,215,160,303,549,241,397,345,308,402,187,214,355,524,328,112,302,207,449,395,537,186,212,354,341,547,287,233,183,300,125,206,394,520,96,391,286,313,339,546,182,204,229,296,333,533,123,417,175,338,390,284,217,180,309,122,227,200,331,64,174,388,119,531,280,577,307,226,213,330,401,159,172,525,327,301,118,530,306,158,185,211,353,111,272,326,168,116,299,205,393,523,210,156,110,324,285,298,181,203,95,295,522,337,108,389,152,519,283,179,202,294,94,121,545,199,173,387,104,178,282,329,144,225,292,518,279,198,92,63,171,386,117,305,278,196,157,62,325,170,516,88,271,167,115,209,276,529,60,297,109,155,323,270,166,114,80,154,322,201,268,107,164,56,293,151,521,93,177,281,106,150,264,103,291,197,48,143,91,148,102,290,277,385,169,142,195,517,90,32,61,100,87,194,275,140,165,113,269,59,86,274,515,153,136,79,321,163,58,267,84,514,55,105,162,149,78,266,54,263,76,101,147,47,289,262,52,141,89,72,146,46,99,260,193,31,139,44,98,85,273,30,138,135,40,57,83,28,134,161,77,82,265,513,24,53,132,75,16,261,74,51,145,71,45,50,43,70,97,259,29,42,137,68,258,39,27,81,38,133,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,7 97,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601
M＝720,N＝1024
512,511,510,508,704,640,703,702,720,504,719,700,496,639,718,509,696,480,638,507,716,688,506,636,503,701,448,712,502,632,699,495,672,500,698,494,384,695,624,479,717,492,637,694,505,478,715,488,687,635,692,608,501,447,476,686,714,634,499,446,256,711,631,472,493,671,684,498,697,444,383,630,710,491,464,670,680,623,382,477,490,576,693,440,628,487,668,708,622,475,380,691,486,432,474,607,664,685,620,445,690,471,484,376,633,497,255,606,416,470,683,443,713,616,463,629,368,656,254,682,442,468,669,604,489,381,439,679,462,709,627,575,252,667,438,352,485,600,678,379,621,460,626,431,473,574,707,666,248,436,483,378,676,663,619,456,430,375,689,469,592,572,320,482,706,415,662,618,605,374,240,428,615,467,441,367,568,253,414,655,461,660,603,681,372,424,466,614,366,437,224,412,654,251,459,602,560,351,677,612,599,435,364,250,458,625,573,652,408,377,429,455,247,665,350,598,434,675,192,360,544,454,571,246,481,427,591,648,400,373,319,348,596,661,617,674,239,413,426,570,452,244,590,318,371,423,567,465,344,238,659,128,365,613,705,411,370,422,588,566,223,316,653,601,658,236,410,363,336,457,611,249,559,407,420,222,564,584,651,349,312,362,433,232,597,558,610,406,359,453,245,220,191,650,347,399,543,358,304,595,647,404,556,425,243,451,190,569,346,398,216,589,317,542,237,673,343,356,594,646,242,450,552,421,369,188,288,396,127,342,315,565,587,235,409,208,540,644,335,419,126,314,392,221,184,340,234,586,657,361,563,311,231,405,334,583,536,418,557,219,124,562,310,230,357,609,176,582,403,332,303,649,218,345,555,397,528,189,308,215,228,120,355,402,580,328,302,241,541,554,160,395,341,214,593,187,354,551,449,645,287,112,207,300,394,539,212,186,339,313,233,550,391,286,125,183,206,333,643,585,296,538,338,417,96,390,548,535,309,182,229,284,123,204,331,642,561,217,175,581,388,534,180,307,227,122,330,280,200,401,174,119,301,327,527,213,64,306,226,532,553,159,579,353,118,326,172,272,299,526,211,185,393,111,158,205,578,285,298,116,324,168,549,210,295,524,110,337,181,156,537,203,389,283,95,294,547,108,179,520,202,152,282,121,329,387,199,173,94,533,292,279,546,178,104,305,641,225,198,386,144,171,278,63,117,92,325,531,271,157,196,525,170,62,276,297,115,167,88,209,530,323,270,109,155,114,60,166,523,577,322,293,268,80,107,154,201,151,164,281,522,56,93,106,291,177,519,264,150,103,197,277,290,545,143,91,48,102,518,148,169,195,385,90,142,275,61,100,87,516,269,194,32,165,113,140,274,86,59,529,153,267,79,163,321,136,58,84,105,55,266,149,78,162,263,521,54,101,76,147,289,47,262,89,141,52,517,146,99,72,46,260,193,139,85,98,31,273,515,44,138,30,57,83,40,135,77,28,82,53,134,514,161,75,265,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,513,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,8 51,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721
M＝768,N＝1024
768,512,767,766,764,760,511,510,752,765,508,736,763,504,762,759,704,496,758,509,751,756,640,750,480,507,735,748,506,761,734,503,744,448,757,703,502,732,495,702,755,500,728,749,494,384,754,700,639,747,479,720,492,638,733,746,505,696,478,743,488,731,636,501,742,447,688,476,730,701,727,632,740,446,499,472,493,753,672,726,699,498,444,719,383,624,491,698,724,464,745,256,695,637,718,382,477,490,440,487,694,741,608,635,716,475,687,380,729,486,692,432,634,739,474,686,712,631,445,471,725,484,376,576,738,671,630,684,497,416,470,443,723,697,623,670,463,717,368,628,680,442,722,468,255,489,622,693,439,381,668,462,715,254,607,438,352,691,620,485,379,714,460,664,633,685,431,711,473,606,252,690,436,378,483,616,456,430,710,683,375,629,737,656,575,604,469,320,482,248,415,669,682,374,428,708,574,627,679,467,441,600,367,414,621,721,667,461,240,372,626,678,424,466,572,366,437,253,619,666,412,459,592,713,663,676,351,224,605,618,568,435,364,251,458,689,408,615,662,377,429,455,350,709,434,250,603,655,360,614,247,560,660,454,427,681,481,373,319,400,192,602,348,707,654,573,246,599,612,413,426,452,318,371,423,677,239,706,625,652,544,344,598,571,365,465,244,411,665,370,422,128,238,591,316,675,570,596,363,648,410,617,336,567,223,457,407,661,590,420,236,674,349,362,312,249,433,566,222,359,406,613,588,659,453,232,559,347,399,601,653,358,245,191,304,564,404,220,425,611,658,346,451,584,558,398,317,343,190,356,651,597,243,610,216,543,421,237,450,369,288,396,556,705,342,315,242,650,409,595,188,569,127,542,647,335,235,419,589,208,314,340,392,552,361,594,311,126,405,334,221,234,184,565,646,418,540,673,587,231,310,357,124,219,332,403,563,644,230,586,303,176,345,536,397,557,308,583,218,355,657,402,189,562,328,302,120,215,228,395,341,582,555,609,354,241,528,160,287,214,187,449,300,649,394,112,541,313,339,554,207,580,286,391,186,212,551,333,233,125,183,296,593,206,338,539,390,309,645,417,284,550,331,96,182,229,123,204,538,175,307,217,388,585,330,535,548,643,280,180,122,227,301,327,401,200,174,119,306,561,64,534,213,642,226,326,581,159,299,353,272,118,172,527,211,185,393,532,285,111,298,158,553,324,205,579,116,295,526,168,210,337,110,181,283,156,389,203,294,549,578,524,95,282,108,179,537,202,329,152,387,279,121,292,173,199,94,547,178,520,305,104,278,386,198,533,225,171,325,63,144,117,546,92,271,157,276,170,297,196,62,115,531,323,167,641,270,88,209,109,525,155,114,60,166,293,530,322,268,107,154,80,281,201,523,151,164,56,291,577,93,106,264,177,103,150,522,277,197,290,91,519,143,48,102,148,169,385,275,195,90,545,142,518,87,61,100,269,274,165,194,113,32,140,59,86,516,153,267,79,321,529,163,58,136,84,105,266,55,149,78,162,263,54,521,101,289,76,262,147,47,89,141,52,46,72,99,146,31,44,85,139,98,193,260,517,30,57,138,83,273,40,135,515,77,28,82,53,134,514,161,75,265,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,513,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,8 13,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769
M＝960,N＝1024
960,896,959,768,958,956,895,952,512,894,944,892,957,928,955,767,888,954,766,951,880,950,764,893,943,948,864,891,511,942,760,890,927,940,887,510,953,752,926,886,936,765,508,879,949,924,884,763,736,832,878,947,504,920,941,762,863,876,946,759,889,939,862,496,758,912,872,509,938,925,751,885,860,704,935,756,507,923,750,480,883,934,856,831,877,922,506,735,882,748,919,932,503,830,875,640,761,734,848,918,502,744,874,945,828,861,448,871,911,757,732,495,916,500,859,870,910,824,937,703,494,755,728,858,749,855,702,868,754,908,479,933,492,384,816,747,854,921,829,720,505,478,700,881,931,904,746,847,639,733,488,852,827,743,800,917,501,476,930,846,873,696,638,731,826,742,447,256,823,915,499,730,844,869,472,636,446,909,493,727,740,822,688,498,914,857,701,867,815,726,491,840,907,444,632,820,753,464,853,383,719,699,814,672,866,490,724,477,906,487,718,698,382,440,903,745,851,799,812,624,695,475,845,486,637,902,825,716,798,850,741,694,380,474,808,432,843,471,729,635,484,687,608,255,821,796,929,445,692,739,712,900,842,470,376,634,686,725,254,839,819,631,497,443,738,416,792,463,813,671,468,684,913,723,630,838,818,442,252,576,462,368,489,717,439,670,811,697,623,722,784,381,680,628,865,836,905,438,460,715,810,622,797,485,668,693,248,807,379,352,431,473,714,436,849,795,607,901,691,620,483,456,806,711,378,430,664,685,240,375,469,794,633,606,690,482,710,899,791,841,616,804,253,415,428,683,374,320,467,656,629,604,737,790,441,414,708,461,575,367,682,251,669,224,898,372,424,466,837,817,679,627,783,366,574,600,459,412,788,437,250,667,621,678,721,626,247,782,835,809,458,351,364,666,435,572,619,408,455,663,246,592,676,429,192,780,713,350,834,377,434,618,805,605,239,454,360,662,568,615,427,244,793,689,400,348,373,709,603,655,238,803,776,319,614,426,660,452,413,481,423,371,602,789,654,128,560,318,681,707,344,223,802,236,599,612,411,365,573,422,370,465,787,652,222,249,598,706,316,410,677,363,571,781,544,232,336,407,420,625,591,665,786,457,362,220,596,245,349,570,675,648,897,191,406,359,312,590,779,567,617,433,661,347,243,399,453,674,190,358,216,404,566,778,237,588,346,304,613,398,242,659,775,425,559,451,833,343,188,356,317,601,653,235,564,127,208,658,611,584,396,558,774,342,421,450,234,315,221,288,651,369,597,126,184,231,335,409,610,543,556,340,314,419,392,801,772,219,650,230,334,311,595,124,361,542,569,647,405,176,589,218,418,705,552,310,594,215,332,228,189,357,646,785,540,565,403,120,303,587,214,308,345,397,187,160,355,241,402,328,302,563,673,586,644,207,536,212,777,186,395,583,557,341,112,354,183,562,206,287,300,233,125,394,582,555,339,657,182,286,313,391,773,528,204,333,229,449,296,123,96,554,338,175,541,580,180,609,390,284,217,309,551,331,122,649,227,174,200,771,539,119,550,307,213,330,388,417,280,226,593,159,172,327,301,118,64,538,645,770,306,211,535,548,158,111,185,326,299,205,116,168,401,585,272,210,534,643,110,156,181,298,285,203,561,353,324,527,295,581,108,532,95,393,642,179,202,283,152,294,526,173,199,553,94,337,121,178,579,282,389,104,198,279,171,292,524,549,117,144,92,63,329,578,278,170,387,157,196,225,537,167,115,62,305,271,88,547,520,325,109,155,386,276,166,114,533,209,270,154,60,107,297,546,80,323,151,164,531,106,268,769,93,201,56,293,150,103,322,525,177,281,530,91,143,197,102,291,264,148,48,523,90,142,277,169,641,87,100,61,290,195,522,140,86,275,519,165,59,194,32,577,113,269,153,79,274,518,58,84,163,385,136,55,105,267,78,545,149,162,516,54,266,101,321,76,147,263,529,47,89,141,52,99,46,521,72,262,289,146,31,44,85,139,98,193,260,517,30,57,138,83,273,40,135,515,77,28,82,53,134,514,161,75,265,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,513,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961
M＝1200,N＝2048
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272,1271,1270,1269,1268,1267,1266,1265,1264,1263,1262,1261,1260,1259,1258,1257,1256,1255,1254,1253,1252,1251,1250,1249,1248,1247,1246,1245,1244,1243,1242,1241,1240,1239,1238,1237,1236,1235,1234,1233,1232,1231,1230,1229,1228,1227,1226,1225,1224,1223,1222,1221,1220,1219,1218,1217,1216,1215,1214,1213,1212,1211,1210,1209,1208,1207,1206,1205,1204,1203,1202,1201
M＝1440,N＝2048
1024,1023,1022,1020,1408,1280,1407,1406,1440,1016,1439,1404,1008,1438,1279,1021,1400,992,1278,1019,1436,1392,1018,1015,1276,1405,960,1432,1014,1403,1376,1007,1272,1012,1424,1402,1006,896,1399,1437,991,1264,1004,1344,1398,1017,1277,990,1435,1391,768,1000,1396,1013,959,988,1275,1248,1390,1434,958,1431,1011,1274,984,1005,1375,1388,1271,1010,1401,956,1430,895,1216,1003,1374,976,1384,1270,1423,894,1397,989,1002,952,1428,1263,999,1372,1343,512,1268,1422,987,892,1395,998,1262,944,767,1342,1389,1368,986,957,1394,983,996,1420,888,1247,766,1260,1433,1340,1387,1009,1273,928,982,955,1360,1152,1246,764,975,880,1416,1386,1256,954,1373,980,1336,1001,1383,1269,1429,951,893,974,1215,1244,760,1371,1382,950,864,997,1267,891,972,1328,1427,1214,943,985,511,1240,1261,1370,948,1380,1421,752,995,890,1341,1266,1367,968,942,887,1426,1393,1212,510,765,981,832,1259,994,927,1366,1232,1339,940,886,1419,1312,736,979,953,1258,1359,763,508,1245,926,879,1208,1385,1151,973,1255,1338,1364,884,936,978,1418,1335,762,1358,949,878,924,1243,1415,759,971,1254,1150,504,1381,704,1200,1334,863,1356,947,876,1242,970,758,920,1414,1213,1327,1369,1252,889,941,1148,967,1239,1379,862,496,946,751,1332,1265,872,1352,756,1326,966,993,939,1238,509,912,1211,885,831,1378,1184,1365,1412,640,750,860,1144,1231,925,938,964,1425,480,1324,1257,1210,735,830,1236,1311,935,883,507,1363,748,977,856,1337,1207,877,1230,923,1136,761,1357,934,882,734,506,1310,828,1320,1362,1253,1206,1149,503,744,922,875,848,1228,1333,969,1417,448,919,932,703,757,1355,1199,732,1241,1308,824,861,874,502,945,1120,1251,1204,1147,918,871,1331,1224,1354,702,965,755,1198,495,728,911,1413,1351,1325,859,1237,1250,1304,500,749,1146,870,816,916,937,1330,754,494,1143,963,700,1183,1377,384,1196,910,858,639,1350,829,1088,1323,1235,855,747,1209,868,720,479,1411,1296,962,933,1142,1229,1182,492,881,800,908,638,696,1192,733,827,854,1322,746,1234,505,1348,921,1135,1309,478,743,1205,1319,847,931,1140,1361,1410,1227,1180,488,826,904,852,636,256,731,873,1134,823,742,917,688,501,447,1307,846,1318,930,476,1203,1226,730,1176,1119,701,1197,822,1223,869,632,727,1353,740,1132,446,915,1306,499,844,1202,1316,472,815,1145,1303,857,909,753,493,672,1249,1118,1222,820,699,726,1329,1195,914,867,498,1168,444,840,1128,814,624,1349,719,1302,383,907,491,853,464,698,1141,1087,1194,866,724,1220,745,1116,1181,961,799,1295,637,695,1191,812,718,440,1321,906,382,1233,477,490,1300,1347,825,851,1086,903,1139,798,487,608,694,1179,1294,741,845,1112,1190,635,716,1133,808,475,850,380,687,929,729,902,1346,432,1138,486,1317,821,796,1084,255,1178,692,1225,634,739,843,1292,1188,474,712,1175,1131,686,631,445,1104,1409,576,1305,900,484,471,376,1201,819,725,254,842,738,1315,792,671,1080,913,497,813,1174,1117,1130,416,839,1221,630,684,1288,443,470,818,1127,697,723,1167,623,1314,1301,670,252,368,865,463,838,1193,811,784,717,1172,628,1115,442,680,1219,468,489,1072,1126,722,905,1166,439,622,381,693,668,462,797,810,836,1299,715,1114,248,1085,807,1218,1189,607,1124,849,352,1111,438,1293,485,620,1164,901,691,460,379,795,714,664,1298,1137,1056,431,806,633,1177,473,685,711,606,1083,1110,240,436,1187,690,483,794,378,1291,616,1345,841,456,899,1160,430,1103,737,804,791,710,375,656,320,575,683,1082,629,253,469,604,1108,1129,482,1173,1186,817,415,1290,1079,898,790,428,1102,669,682,374,708,224,837,574,1287,627,441,467,679,783,251,600,721,414,367,1171,1078,1125,621,461,788,809,667,1313,1100,424,372,1165,835,626,572,466,678,1286,1071,782,250,1113,366,437,1170,412,666,592,1076,247,619,459,192,1123,713,834,676,805,663,1096,351,1163,1070,780,568,1284,1217,364,435,605,689,618,408,458,246,1109,793,1122,377,429,662,615,455,1297,1055,350,709,803,1162,239,434,1068,776,655,603,360,560,244,1159,481,128,1081,1107,614,454,400,660,427,789,681,319,802,1054,373,348,238,707,1101,654,602,1185,573,1064,1158,897,413,1289,612,1106,426,599,452,223,318,787,706,423,371,1077, 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M＝2400,N＝4096
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9,3808,3807,3806,3805,3804,3803,3802,3801,3800,3799,3798,3797,3796,3795,3794,3793,3792,3791,3790,3789,3788,3787,3786,3785,3784,3783,3782,3781,3780,3779,3778,3777,3776,3775,3774,3773,3772,3771,3770,3769,3768,3767,3766,3765,3764,3763,3762,3761,3760,3759,3758,3757,3756,3755,3754,3753,3752,3751,3750,3749,3748,3747,3746,3745,3744,3743,3742,3741,3740,3739,3738,3737,3736,3735,3734,3733,3732,3731,3730,3729,3728,3727,3726,3725,3724,3723,3722,3721,3720,3719,3718,3717,3716,3715,3714,3713,3712,3711,3710,3709,3708,3707,3706,3705,3704,3703,3702,3701,3700,3699,3698,3697,3696,3695,3694,3693,3692,3691,3690,3689,3688,3687,3686,3685,3684,3683,3682,3681,3680,3679,3678,3677,3676,3675,3674,3673,3672,3671,3670,3669,3668,3667,3666,3665,3664,3663,3662,3661,3660,3659,3658,3657,3656,3655,3654,3653,3652,3651,3650,3649,3648,3647,3646,3645,3644,3643,3642,3641,3640,3639,3638,3637,3636,3635,3634,3633,3632,3631,3630,3629,3628,3627,3626,3625,3624,3623,3622,3621,3620,3619,3618,3617,3616,3615,3614,3613,3612,3611,3610,3609,3608,3607,3606,3605,3604,3603,3602,3601,3600,3599,3598,3597,3596,3595,3594,3593,3592,3591,3590,3589,3588,3587,3586,3585,3584,3583,3582,3581,3580,3579,3578,3577,3576,3575,3574,3573,3572,3571,3570,3569,3568,3567,3566,3565,3564,3563,3562,3561,3560,3559,3558,3557,3556,3555,3554,3553,3552,3551,3550,3549,3548,3547,3546,3545,3544,3543,3542,3541,3540,3539,3538,3537,3536,3535,3534,3533,3532,3531,3530,3529,3528,3527,3526,3525,3524,3523,3522,3521,3520,3519,3518,3517,3516,3515,3514,3513,3512,3511,3510,3509,3508,3507,3506,3505,3504,3503,3502,3501,3500,3499,3498,3497,3496,3495,3494,3493,3492,3491,3490,3489,3488,3487,3486,3485,3484,3483,3482,3481,3480,3479,3478,3477,3476,3475,3474,3473,3472,3471,3470,3469,3468,3467,3466,3465,3464,3463,3462,3461,3460,3459,3458,3457,3456,3455,3454,3453,3452,3451,3450,3449,3448,3447,3446,3445,3444,3443,3442,3441,3440,3439,3438,3437,3436,3435,3434,3433,3432,3431,3430,3429,3428,3427,3426,3425,3424,3423,3422,3421,3420,3419,3418,3417,3416,3415,3414,3413,3412,3411,3410,3409,3408,3407,3406,3405,3404,3403,3402,3401,3400,3399,3398,3397,3396,3395,3394,3393,3392,3391,3390,3389,3388,3387,3386,3385,3384,3383,3382,3381,3380,3379,3378,3377,3376,3375,3374,3373,3372,3371,3370,3369,3368,3367,3366,3365,3364,3363,3362,3361,3360,3359,3358,3357,3356,3355,3354,3353,3352,3351,3350,3349,3348,3347,3346,3345,3344,3343,3342,3341,3340,3339,3338,3337,3336,3335,3334,3333,3332,3331,3330,3329,3328,3327,3326,3325,3324,3323,3322,3321,3320,3319,3318,3317,3316,3315,3314,3313,3312,3311,3310,3309,3308,3307,3306,3305,3304,3303,3302,3301,3300,3299,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3288,3287,3286,3285,3284,3283,3282,3281,3280,3279,3278,3277,3276,3275,3274,3273,3272,3271,3270,3269,3268,3267,3266,3265,3264,3263,3262,3261,3260,3259,3258,3257,3256,3255,3254,3253,3252,3251,3250,3249,3248,3247,3246,3245,3244,3243,3242,3241,3240,3239,3238,3237,3236,3235,3234,3233,3232,3231,3230,3229,3228,3227,3226,3225,3224,3223,3222,3221,3220,3219,3218,3217,3216,3215,3214,3213,3212,3211,3210,3209,3208,3207,3206,3205,3204,3203,3202,3201,3200,3199,3198,3197,3196,3195,3194,3193,3192,3191,3190,3189,3188,3187,3186,3185,3184,3183,3182,3181,3180,3179,3178,3177,3176,3175,3174,3173,3172,3171,3170,3169,3168,3167,3166,3165,3164,3163,3162,3161,3160,3159,3158,3157,3156,3155,3154,3153,3152,3151,3150,3149,3148,3147,3146,3145,3144,3143,3142,3141,3140,3139,3138,3137,3136,3135,3134,3133,3132,3131,3130,3129,3128,3127,3126,3125,3124,3123,3122,3121,3120,3119,3118,3117,3116,3115,3114,3113,3112,3111,3110,3109,3108,3107,3106,3105,3104,3103,3102,3101,3100,3099,3098,3097,3096,3095,3094,3093,3092,3091,3090,3089,3088,3087,3086,3085,3084,3083,3082,3081,3080,3079,3078,3077,3076,3075,3074,3073,3072,3071,3070,3069,3068,3067,3066,3065,3064,3063,3062,3061,3060,3059,3058,3057,3056,3055,3054,3053,3052,3051,3050,3049,3048,3047,3046,3045,3044,3043,3042,3041,3040,3039,3038,3037,3036,3035,3034,3033,3032,3031,3030,3029,3028,3027,3026,3025,3024,3023,3022,3021,3020,3019,3018,3017,3016,3015,3014,3013,3012,3011,3010,3009,3008,3007,3006,3005,3004,3003,3002,3001,3000,2999,2998,2997,2996,2995,2994,2993,2992,2991,2990,2989,2988,2987,2986,2985,2984,2983,2982,2981,2980,2979,2978,2977,2976,2975,2974,2973,2972,2971,2970,2969,2968,2967,2966,2965,2964,2963,2962,2961,2960,2959,2958,2957,2956,2955,2954,2953,2952,2951,2950,2949,2948,2947,2946,2945,2944,2943,2942,2941,2940,2939,2938,2937,2936,2935,2934,2933,2932,2931,2930,2929,2928,2927,2926,292 5,2924,2923,2922,2921,2920,2919,2918,2917,2916,2915,2914,2913,2912,2911,2910,2909,2908,2907,2906,2905,2904,2903,2902,2901,2900,2899,2898,2897,2896,2895,2894,2893,2892,2891,2890,2889,2888,2887,2886,2885,2884,2883,2882,2881,2880,2879,2878,2877,2876,2875,2874,2873,2872,2871,2870,2869,2868,2867,2866,2865,2864,2863,2862,2861,2860,2859,2858,2857,2856,2855,2854,2853,2852,2851,2850,2849,2848,2847,2846,2845,2844,2843,2842,2841,2840,2839,2838,2837,2836,2835,2834,2833,2832,2831,2830,2829,2828,2827,2826,2825,2824,2823,2822,2821,2820,2819,2818,2817,2816,2815,2814,2813,2812,2811,2810,2809,2808,2807,2806,2805,2804,2803,2802,2801,2800,2799,2798,2797,2796,2795,2794,2793,2792,2791,2790,2789,2788,2787,2786,2785,2784,2783,2782,2781,2780,2779,2778,2777,2776,2775,2774,2773,2772,2771,2770,2769,2768,2767,2766,2765,2764,2763,2762,2761,2760,2759,2758,2757,2756,2755,2754,2753,2752,2751,2750,2749,2748,2747,2746,2745,2744,2743,2742,2741,2740,2739,2738,2737,2736,2735,2734,2733,2732,2731,2730,2729,2728,2727,2726,2725,2724,2723,2722,2721,2720,2719,2718,2717,2716,2715,2714,2713,2712,2711,2710,2709,2708,2707,2706,2705,2704,2703,2702,2701,2700,2699,2698,2697,2696,2695,2694,2693,2692,2691,2690,2689,2688,2687,2686,2685,2684,2683,2682,2681,2680,2679,2678,2677,2676,2675,2674,2673,2672,2671,2670,2669,2668,2667,2666,2665,2664,2663,2662,2661,2660,2659,2658,2657,2656,2655,2654,2653,2652,2651,2650,2649,2648,2647,2646,2645,2644,2643,2642,2641,2640,2639,2638,2637,2636,2635,2634,2633,2632,2631,2630,2629,2628,2627,2626,2625,2624,2623,2622,2621,2620,2619,2618,2617,2616,2615,2614,2613,2612,2611,2610,2609,2608,2607,2606,2605,2604,2603,2602,2601,2600,2599,2598,2597,2596,2595,2594,2593,2592,2591,2590,2589,2588,2587,2586,2585,2584,2583,2582,2581,2580,2579,2578,2577,2576,2575,2574,2573,2572,2571,2570,2569,2568,2567,2566,2565,2564,2563,2562,2561,2560,2559,2558,2557,2556,2555,2554,2553,2552,2551,2550,2549,2548,2547,2546,2545,2544,2543,2542,2541,2540,2539,2538,2537,2536,2535,2534,2533,2532,2531,2530,2529,2528,2527,2526,2525,2524,2523,2522,2521,2520,2519,2518,2517,2516,2515,2514,2513,2512,2511,2510,2509,2508,2507,2506,2505,2504,2503,2502,2501,2500,2499,2498,2497,2496,2495,2494,2493,2492,2491,2490,2489,2488,2487,2486,2485,2484,2483,2482,2481,2480,2479,2478,2477,2476,2475,2474,2473,2472,2471,2470,2469,2468,2467,2466,2465,2464,2463,2462,2461,2460,2459,2458,2457,2456,2455,2454,2453,2452,2451,2450,2449,2448,2447,2446,2445,2444,2443,2442,2441,2440,2439,2438,2437,2436,2435,2434,2433,2432,2431,2430,2429,2428,2427,2426,2425,2424,2423,2422,2421,2420,2419,2418,2417,2416,2415,2414,2413,2412,2411,2410,2409,2408,2407,2406,2405,2404,2403,2402,2401
表3
M＝48,N＝64
48,32,47,46,31,44,30,40,28,45,24,43,42,39,29,16,38,27,36,26,23,22,41,20,15,37,14,25,35,12,34,21,8,19,18,13,11,10,7,33,6,4,17,9,5,3,2,1,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49
M＝72,N＝128
64,63,62,60,56,48,61,72,71,32,59,70,58,55,68,54,47,52,46,31,44,57,30,40,53,28,69,51,24,45,67,50,43,16,66,29,42,39,27,38,26,36,23,49,22,15,20,41,14,65,37,12,25,35,8,21,34,19,13,18,11,10,7,33,6,4,17,9,5,3,2,1,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73
M＝96,N＝128
96,64,95,94,92,63,62,88,80,60,93,56,91,90,48,87,61,86,79,59,84,78,58,32,55,76,54,89,47,72,52,85,46,83,44,77,57,82,31,40,75,53,30,74,51,71,28,45,50,70,24,43,68,42,16,81,39,29,38,27,73,36,26,23,49,69,22,67,41,15,20,14,66,37,12,35,25,8,34,21,19,13,18,65,11,10,7,33,6,4,17,9,5,3,2,1,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97
M＝120,N＝128
120,112,96,119,64,118,111,116,110,108,95,94,117,104,92,115,63,109,114,62,88,107,60,106,80,93,103,56,91,102,90,48,61,100,87,113,86,59,32,79,58,84,105,55,78,54,101,76,89,47,52,99,46,72,85,98,31,44,83,57,30,77,82,40,53,28,75,51,74,24,45,71,50,70,43,16,97,42,29,68,39,27,81,38,26,23,36,73,22,49,69,15,20,41,14,67,12,37,66,25,35,8,21,34,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,128,127,126,125,124,123,122,121
M＝144,N＝256
128,127,126,124,120,112,125,144,143,96,123,142,122,119,64,140,118,111,116,136,110,95,108,121,94,104,63,117,92,141,62,115,88,109,139,114,60,107,80,138,56,93,106,135,103,91,134,48,102,90,61,100,87,132,113,32,86,59,79,58,84,105,55,78,137,54,101,76,47,89,52,99,72,46,133,85,98,31,44,57,83,30,131,77,40,82,53,28,130,75,51,24,74,71,45,50,97,70,16,43,68,29,42,81,39,27,38,26,73,36,23,49,129,22,69,15,20,41,67,14,66,12,37,25,8,35,34,21,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145
M＝160,N＝256
128,127,126,124,120,160,159,158,156,112,125,152,96,123,144,122,119,157,64,118,155,111,116,154,110,151,95,108,121,150,94,104,143,117,148,92,63,142,115,62,109,88,140,114,153,60,107,80,136,106,93,56,149,103,91,102,48,147,90,141,100,61,87,146,113,86,139,59,32,79,105,84,58,138,55,78,135,101,54,76,134,47,89,99,52,72,46,132,98,85,145,44,31,83,57,77,30,40,82,137,53,75,28,51,74,133,24,71,45,50,97,70,131,43,16,68,42,130,29,39,81,27,38,73,26,36,23,49,69,22,15,41,20,67,14,66,37,129,12,25,35,8,34,21,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161
M＝180,N＝256
128,127,126,124,176,160,175,180,174,120,179,172,159,112,125,178,158,168,96,123,156,122,119,173,152,118,64,171,111,116,110,170,157,144,167,95,108,121,177,166,155,94,104,117,154,92,164,151,63,115,88,150,109,114,62,169,143,107,148,80,60,93,106,142,165,103,56,91,140,102,153,163,90,48,87,100,136,149,162,61,113,86,32,79,59,147,84,105,141,78,58,146,55,101,76,139,54,89,99,47,138,72,52,135,85,98,46,161,134,31,83,44,77,57,30,82,132,40,145,75,53,28,74,51,71,24,45,137,50,70,97,43,16,133,68,29,42,81,39,131,27,38,73,26,130,23,36,49,69,22,15,67,20,41,14,66,37,12,25,35,8,21,129,34,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181
M＝192,N＝256
192,128,191,190,188,127,184,126,176,124,189,160,187,120,186,183,112,182,125,175,96,180,123,174,122,159,119,172,185,158,118,168,111,181,156,116,64,110,179,152,173,95,108,178,121,171,94,144,104,157,170,117,92,167,155,115,166,88,109,63,154,114,151,164,62,107,80,177,150,93,106,60,143,103,148,169,91,142,102,56,90,165,87,140,100,48,153,113,86,61,163,136,79,149,32,84,59,162,105,78,58,147,55,101,141,76,146,89,54,99,139,72,47,85,52,98,138,4 6,135,83,31,44,77,134,57,82,161,30,75,40,132,53,28,74,145,71,51,24,45,70,50,97,137,43,16,68,29,42,133,81,39,27,38,131,73,26,23,36,130,69,49,22,15,67,20,41,14,66,37,12,25,35,8,21,34,129,19,13,18,65,11,10,7,6,33,4,17,9,5,3,2,1,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193
M＝240,N＝256
240,224,192,239,238,128,223,236,232,222,220,191,237,216,190,235,188,234,127,231,221,208,184,230,126,219,218,228,124,215,176,189,214,120,187,212,233,160,207,186,183,112,206,125,229,182,204,217,123,227,180,175,96,122,226,200,213,174,119,211,118,159,172,64,185,158,210,205,111,116,168,181,110,203,156,179,202,95,108,152,199,173,178,121,94,198,104,171,225,117,92,144,63,170,157,196,115,167,62,88,209,109,155,166,114,60,154,107,151,164,80,201,106,93,56,150,103,177,197,91,143,102,148,169,48,90,142,195,87,100,61,165,140,86,194,113,59,32,153,79,163,58,84,136,55,78,105,149,162,54,76,101,147,47,52,89,141,99,146,46,72,139,85,98,31,44,138,83,57,30,135,77,193,40,82,53,134,28,75,161,51,74,132,24,45,71,50,145,70,43,16,97,42,29,68,39,137,27,38,81,133,26,23,36,73,131,22,49,69,130,15,20,41,14,67,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241
M＝288,N＝512
256,255,254,252,248,240,253,288,287,224,251,286,250,247,192,284,246,239,244,128,280,238,223,236,249,272,222,232,191,245,220,285,190,243,216,237,283,242,188,127,208,235,282,126,184,279,221,234,231,124,278,219,176,230,271,218,120,189,228,215,276,241,160,187,214,270,112,207,186,212,233,125,183,206,268,96,281,182,229,123,204,175,217,264,180,227,122,200,174,119,64,277,213,226,159,172,118,185,211,111,275,158,205,116,168,269,210,110,181,156,274,203,95,108,267,179,152,202,121,94,173,199,178,104,266,225,198,144,63,171,92,117,263,196,170,157,62,115,88,167,209,262,109,155,60,114,166,80,260,107,154,201,164,151,56,273,106,93,177,103,150,197,48,143,91,102,148,169,195,142,265,90,61,100,87,194,32,165,113,140,59,86,153,261,79,163,136,58,84,105,55,78,162,149,259,54,101,76,147,47,258,89,141,52,146,99,72,46,193,139,98,85,31,44,138,30,57,135,83,40,77,161,82,134,28,53,75,132,24,51,74,145,71,45,16,50,97,257,70,43,137,68,29,42,39,27,81,38,133,26,23,36,131,73,22,49,130,15,69,20,14,41,67,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289
M＝300,N＝512
256,255,254,252,248,240,288,300,296,253,224,251,250,287,247,192,246,286,239,299,244,128,238,284,223,298,236,249,222,232,280,295,245,191,220,294,190,243,216,237,242,272,188,127,285,235,208,126,184,221,234,292,231,283,124,219,176,230,282,297,218,189,120,228,215,279,241,160,214,187,278,112,207,212,186,233,293,125,183,206,271,276,96,229,182,204,123,270,175,217,291,180,227,122,200,174,119,213,64,226,281,268,159,290,172,118,211,185,111,158,205,264,116,168,277,210,110,181,156,203,95,275,108,179,202,152,121,199,173,94,2 69,178,104,274,225,198,144,171,92,117,63,196,157,170,267,62,115,209,167,88,109,289,155,266,114,166,60,263,80,201,154,107,164,151,56,93,177,106,262,150,103,197,143,91,48,102,148,260,169,195,273,142,90,61,100,87,194,165,113,32,140,86,59,153,79,163,136,265,84,58,105,55,149,78,162,54,76,101,261,147,47,89,141,52,146,99,72,46,193,259,139,98,85,31,44,138,258,83,135,57,30,77,40,161,82,134,28,53,75,132,24,74,51,145,71,45,50,97,16,70,43,137,68,29,42,81,39,133,257,27,38,131,26,73,23,36,22,49,130,15,69,20,14,41,67,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361,360,359,358,357,356,355,354,353,352,351,350,349,348,347,346,345,344,343,342,341,340,339,338,337,336,335,334,333,332,331,330,329,328,327,326,325,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301
M＝360,N＝512
256,255,254,252,352,320,351,350,360,248,359,348,240,319,358,253,344,318,224,251,356,316,250,336,247,349,192,246,312,347,239,244,346,238,304,343,317,223,357,236,128,249,342,222,315,232,335,355,245,191,340,220,314,288,334,311,243,190,354,216,237,332,242,310,345,188,235,303,208,308,234,221,184,127,328,341,231,302,219,126,230,339,176,300,313,218,287,333,189,124,228,215,338,241,286,296,160,214,187,331,309,120,207,353,284,186,212,233,330,307,183,206,112,327,301,280,306,182,229,125,204,326,175,217,299,180,227,96,123,272,200,174,324,298,213,226,122,285,337,295,159,119,172,211,185,64,294,283,158,118,205,168,329,210,111,181,282,292,156,116,203,279,305,110,179,325,202,152,278,173,199,95,108,178,271,121,297,323,198,225,171,276,94,144,104,270,157,170,117,322,196,63,92,293,167,209,268,155,115,62,281,166,88,109,291,154,114,201,264,60,151,164,107,290,277,80,177,150,197,106,56,93,143,275,103,148,169,269,91,195,102,142,48,274,90,194,61,165,267,321,100,87,140,153,113,32,86,59,266,163,136,263,79,149,58,162,84,105,289,55,78,262,147,54,101,141,76,260,47,146,89,52,99,273,139,72,46,193,85,98,138,31,44,135,265,57,83,30,161,77,134,40,82,53,28,261,75,132,145,51,74,24,45,71,259,50,97,70,258,16,137,43,29,68,42,39,133,81,27,38,131,26,73,36,23,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,368,367,366,365,364,363,362,361
M＝384,N＝512
384,256,383,382,380,255,376,254,368,381,252,352,379,248,378,375,320,240,374,253,367,372,224,366,251,351,250,364,247,377,350,192,360,246,373,319,348,239,244,318,371,238,344,365,370,316,223,236,363,336,249,222,349,362,312,232,359,128,245,191,220,347,358,304,190,243,346,317,216,343,237,356,242,188,369,288,342,315,235,208,335,314,340,221,234,184,361,311,231,334,127,219,310,230,357,332,176,303,126,218,345,189,308,215,228,355,302,328,124,241,341,160,214,187,354,287,300,207,186,339,313,120,212,233,286,183,333,206,296,338,309,182,112,284,229,331,204,175,125,217,307,180,330,227,280,200,301,174,327,96,123,213,306,226,159,326,299,172,122,353,272,211,185,119,158,64,205,285,298,324,168,210,118, 295,181,156,337,203,283,111,294,116,179,202,282,110,152,173,199,329,279,292,178,95,108,305,198,171,278,225,121,144,94,325,271,157,170,104,196,276,167,297,117,63,92,323,270,209,155,166,62,115,293,322,88,154,109,268,201,151,114,164,281,60,291,107,177,80,150,264,197,277,93,56,106,143,290,103,148,169,195,91,142,275,102,48,269,165,90,194,61,140,274,87,100,153,267,113,32,163,86,59,136,321,79,149,266,162,58,84,105,263,55,78,147,262,54,141,289,101,76,146,47,89,52,139,99,260,72,46,193,85,273,138,98,31,135,44,57,83,30,77,134,161,265,40,82,53,28,75,132,261,145,51,74,24,45,71,50,259,137,97,70,16,43,258,29,42,68,133,39,81,27,38,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,385
M＝400,N＝512
384,256,383,382,380,255,376,254,400,368,252,381,399,352,379,248,378,398,375,320,240,374,253,396,367,372,224,251,366,351,250,392,364,247,377,350,192,360,246,373,319,348,239,244,371,397,318,238,344,365,370,223,316,236,395,363,249,336,222,349,362,128,312,232,359,394,245,191,220,347,391,358,243,304,190,346,216,237,317,343,356,242,390,188,369,342,235,315,288,208,335,388,234,221,314,340,184,361,231,311,334,127,219,230,310,357,126,176,332,218,303,345,189,215,228,308,355,124,393,328,302,241,214,187,341,160,354,287,207,120,300,186,212,339,233,313,183,389,206,286,333,338,296,112,182,309,229,204,284,125,331,387,175,217,180,307,227,330,96,123,200,174,280,301,327,213,306,386,226,122,159,172,119,326,299,211,185,353,272,64,158,205,118,298,285,168,210,324,295,181,111,156,203,337,116,283,294,110,179,202,152,282,173,199,95,329,178,279,292,108,121,198,171,305,94,225,278,144,104,325,157,170,117,271,196,63,92,167,276,297,209,323,155,270,115,62,166,385,88,109,154,293,114,322,268,201,151,60,164,107,281,80,177,291,150,93,106,264,197,56,103,143,277,290,148,169,91,195,102,142,48,275,90,61,165,269,87,194,100,140,274,153,113,86,32,59,163,267,136,79,149,58,84,321,162,105,266,55,78,263,147,54,101,141,76,262,289,47,146,89,52,99,139,72,46,260,85,193,98,138,31,273,44,135,83,57,30,77,134,40,82,161,53,265,28,75,132,51,74,145,24,261,45,71,50,70,43,259,97,16,137,29,42,258,68,39,133,81,27,38,131,26,73,36,23,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,429,428,427,426,425,424,423,422,421,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401
M＝480,N＝512
480,448,384,479,478,476,447,256,472,446,464,444,477,383,440,475,382,474,432,471,380,445,470,255,463,376,443,468,254,462,442,439,416,368,252,460,381,438,473,431,379,456,436,248,469,430,352,378,375,467,240,428,461,374,253,441,415,466,320,367,424,459,372,251,414,437,366,224,458,250,412,435,455,247,364,429,351,434,454,246,408,377,192,427,360,350,239,244,373,452,426,400,238,348,423,319,413,371,465,422,365,128,236,318,344,411,223,370,249,363,420,457,410,316,222,232,407,336,362,245,433,359,349,220,453,406,312,191,243,358,399,347,190,425,404,237,451,216,242,398,304,346,356,343,235,188,317,450,421,127,396,208,342,369,234,315,221,419,231,409,288,126,184,335,340,314,392,361,219,230,311,334,418,405,124,176,218,310,357,228,332,215,189,403,303,120,397,345,308,214,355,241,187,402,302,328,160,207,395,354,341,212,186,112,233,300,183,206,287,394,125,339,449,313,391,182, 286,333,204,229,296,123,338,175,96,390,309,180,217,284,331,227,122,174,200,417,119,307,388,330,213,226,280,301,327,172,159,118,64,306,211,185,326,111,158,299,401,205,116,168,272,210,110,353,298,181,156,285,324,203,295,393,108,179,95,202,283,294,152,173,199,337,121,389,94,178,282,104,198,292,279,171,117,329,144,92,387,63,225,170,278,157,196,305,167,115,62,271,325,88,386,109,155,276,166,114,209,270,297,60,107,154,323,80,151,164,268,106,201,93,293,56,322,150,103,177,281,91,143,102,291,197,264,148,48,90,142,277,169,290,87,100,61,195,275,140,86,165,194,59,32,113,269,79,153,274,58,84,163,136,55,78,267,105,385,149,162,54,266,76,101,147,47,263,52,321,89,141,99,46,72,146,262,139,85,98,31,44,289,260,138,83,57,30,135,77,40,193,82,273,53,134,28,75,51,74,132,24,161,45,71,265,50,70,43,145,261,16,97,42,29,68,137,39,27,259,38,81,26,133,258,23,36,73,131,22,49,69,15,130,20,41,14,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481
M＝576,N＝1024
512,511,510,508,504,496,509,576,575,480,507,574,506,503,448,572,502,495,500,384,568,494,479,492,560,505,478,256,488,447,501,476,573,446,499,544,472,493,571,498,444,383,464,491,570,382,440,477,567,490,487,380,566,475,432,255,486,559,474,376,445,254,484,471,564,416,497,558,470,443,252,368,463,543,442,468,489,381,439,462,556,248,352,569,438,485,542,460,379,431,473,240,552,436,378,483,456,430,375,540,565,320,253,469,482,415,224,374,428,251,467,441,367,563,414,536,461,372,424,557,466,250,366,412,437,562,247,192,459,351,528,364,555,246,408,435,458,377,350,455,429,239,541,434,360,128,244,554,481,400,454,348,319,427,238,373,551,452,223,413,426,539,318,236,344,371,423,465,550,365,249,222,411,316,370,422,538,232,336,548,535,410,363,457,220,191,420,245,407,312,561,349,433,362,534,190,406,359,453,216,243,399,304,527,347,237,358,404,188,425,242,532,451,127,398,553,346,208,317,356,526,343,235,450,288,126,184,396,421,369,221,234,342,315,409,524,231,549,335,124,419,392,340,176,314,219,361,537,230,311,334,405,418,120,520,218,547,189,310,228,332,215,357,160,403,303,241,345,546,533,397,308,214,112,187,402,328,355,302,207,449,395,212,186,354,341,287,233,531,125,183,206,300,96,394,525,286,339,391,313,182,530,204,123,229,296,333,417,175,338,390,284,217,180,122,523,64,309,200,227,331,174,119,388,280,226,213,330,159,307,401,522,118,172,327,301,519,306,111,158,272,211,353,185,326,116,168,205,299,545,393,110,210,518,156,324,285,298,181,95,203,108,295,337,152,389,516,94,202,283,179,294,121,199,104,173,529,387,282,178,144,329,225,92,292,198,63,279,117,171,386,305,278,62,196,88,157,325,170,271,115,167,209,521,276,60,109,297,323,155,270,114,80,166,322,154,107,56,201,268,164,151,293,517,93,106,177,281,150,264,103,48,197,291,143,91,515,102,148,290,385,277,195,142,169,32,90,61,514,100,87,194,275,140,113,165,269,86,59,274,153,79,136,321,163,58,84,267,55,78,105,162,149,266,54,263,76,47,101,147,289,262,52,141,72,89,46,146,99,260,193,31,139,44,98,85,273,30,513,138,40,135,83,57,77,28,82,53,134,161,75,265,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,77 3,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577
M＝600,N＝1024
512,511,510,508,504,496,576,600,592,509,480,507,506,575,503,448,502,574,495,599,500,384,494,572,598,479,492,505,478,256,488,568,596,501,476,447,591,446,499,472,590,493,560,498,444,383,464,491,573,588,440,382,477,490,487,571,380,544,475,432,255,486,597,570,474,445,376,484,471,254,567,416,497,584,443,470,595,252,368,463,566,442,468,489,439,381,462,559,248,594,589,352,564,438,485,460,379,431,473,558,240,436,483,378,587,456,430,375,320,253,469,556,482,415,543,569,428,374,224,586,441,467,251,414,367,461,552,372,424,542,466,250,583,366,437,412,565,192,247,459,351,540,364,435,582,408,458,246,377,563,429,455,350,239,434,593,360,557,481,244,400,454,536,427,580,319,373,348,128,562,238,413,452,426,318,223,555,423,371,465,344,236,365,528,411,249,222,422,316,370,554,585,232,336,410,541,457,363,551,420,407,191,220,245,312,433,349,362,406,550,190,359,453,539,216,243,399,304,347,581,237,404,358,425,188,451,242,548,538,398,346,127,317,208,356,561,343,235,535,450,288,421,396,184,369,579,126,221,315,342,234,409,534,231,335,419,392,578,124,314,340,176,527,361,219,553,311,405,230,418,334,532,218,189,120,526,310,228,357,332,403,215,160,303,549,241,397,345,308,402,187,214,355,524,328,112,302,207,449,395,537,186,212,354,341,547,287,233,183,300,125,206,394,520,96,391,286,313,339,546,182,204,229,296,333,533,123,417,175,338,390,284,217,180,309,122,227,200,331,64,174,388,119,531,280,577,307,226,213,330,401,159,172,525,327,301,118,530,306,158,185,211,353,111,272,326,168,116,299,205,393,523,210,156,110,324,285,298,181,203,95,295,522,337,108,389,152,519,283,179,202,294,94,121,545,199,173,387,104,178,282,329,144,225,292,518,279,198,92,63,171,386,117,305,278,196,157,62,325,170,516,88,271,167,115,209,276,529,60,297,109,155,323,270,166,114,80,154,322,201,268,107,164,56,293,151,521,93,177,281,106,150,264,103,291,197,48,143,91,148,102,290,277,385,169,142,195,517,90,32,61,100,87,194,275,140,165,113,269,59,86,274,515,153,136,79,321,163,58,267,84,514,55,105,162,149,78,266,54,263,76,101,147,47,289,262,52,141,89,72,146,46,99,260,193,31,139,44,98,85,273,30,138,135,40,57,83,28,134,161,77,82,265,513,24,53,132,75,16,261,74,51,145,71,45,50,43,70,97,259,29,42,137,68,258,39,27,81,38,133,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,73 2,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601
M＝720,N＝1024
512,511,510,508,704,640,703,702,720,504,719,700,496,639,718,509,696,480,638,507,716,688,506,636,503,701,448,712,502,632,699,495,672,500,698,494,384,695,624,479,717,492,637,694,505,478,715,488,687,635,692,608,501,447,476,686,714,634,499,446,256,711,631,472,493,671,684,498,697,444,383,630,710,491,464,670,680,623,382,477,490,576,693,440,628,487,668,708,622,475,380,691,486,432,474,607,664,685,620,445,690,471,484,376,633,497,255,606,416,470,683,443,713,616,463,629,368,656,254,682,442,468,669,604,489,381,439,679,462,709,627,575,252,667,438,352,485,600,678,379,621,460,626,431,473,574,707,666,248,436,483,378,676,663,619,456,430,375,689,469,592,572,320,482,706,415,662,618,605,374,240,428,615,467,441,367,568,253,414,655,461,660,603,681,372,424,466,614,366,437,224,412,654,251,459,602,560,351,677,612,599,435,364,250,458,625,573,652,408,377,429,455,247,665,350,598,434,675,192,360,544,454,571,246,481,427,591,648,400,373,319,348,596,661,617,674,239,413,426,570,452,244,590,318,371,423,567,465,344,238,659,128,365,613,705,411,370,422,588,566,223,316,653,601,658,236,410,363,336,457,611,249,559,407,420,222,564,584,651,349,312,362,433,232,597,558,610,406,359,453,245,220,191,650,347,399,543,358,304,595,647,404,556,425,243,451,190,569,346,398,216,589,317,542,237,673,343,356,594,646,242,450,552,421,369,188,288,396,127,342,315,565,587,235,409,208,540,644,335,419,126,314,392,221,184,340,234,586,657,361,563,311,231,405,334,583,536,418,557,219,124,562,310,230,357,609,176,582,403,332,303,649,218,345,555,397,528,189,308,215,228,120,355,402,580,328,302,241,541,554,160,395,341,214,593,187,354,551,449,645,287,112,207,300,394,539,212,186,339,313,233,550,391,286,125,183,206,333,643,585,296,538,338,417,96,390,548,535,309,182,229,284,123,204,331,642,561,217,175,581,388,534,180,307,227,122,330,280,200,401,174,119,301,327,527,213,64,306,226,532,553,159,579,353,118,326,172,272,299,526,211,185,393,111,158,205,578,285,298,116,324,168,549,210,295,524,110,337,181,156,537,203,389,283,95,294,547,108,179,520,202,152,282,121,329,387,199,173,94,533,292,279,546,178,104,305,641,225,198,386,144,171,278,63,117,92,325,531,271,157,196,525,170,62,276,297,115,167,88,209,530,323,270,109,155,114,60,166,523,577,322,293,268,80,107,154,201,151,164,281,522,56,93,106,291,177,519,264,150,103,197,277,290,545,143,91,48,102,518,148,169,195,385,90,142,275,61,100,87,516,269,194,32,165,113,140,274,86,59,529,153,267,79,163,321,136,58,84,105,55,266,149,78,162,263,521,54,101,76,147,289,47,262,89,141,52,517,146,99,72,46,260,193,139,85,98,31,273,515,44,138,30,57,83,40,135,77,28,82,53,134,514,161,75,265,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,513,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,78 6,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721
M＝768,N＝1024
768,512,767,766,764,760,511,510,752,765,508,736,763,504,762,759,704,496,758,509,751,756,640,750,480,507,735,748,506,761,734,503,744,448,757,703,502,732,495,702,755,500,728,749,494,384,754,700,639,747,479,720,492,638,733,746,505,696,478,743,488,731,636,501,742,447,688,476,730,701,727,632,740,446,499,472,493,753,672,726,699,498,444,719,383,624,491,698,724,464,745,256,695,637,718,382,477,490,440,487,694,741,608,635,716,475,687,380,729,486,692,432,634,739,474,686,712,631,445,471,725,484,376,576,738,671,630,684,497,416,470,443,723,697,623,670,463,717,368,628,680,442,722,468,255,489,622,693,439,381,668,462,715,254,607,438,352,691,620,485,379,714,460,664,633,685,431,711,473,606,252,690,436,378,483,616,456,430,710,683,375,629,737,656,575,604,469,320,482,248,415,669,682,374,428,708,574,627,679,467,441,600,367,414,621,721,667,461,240,372,626,678,424,466,572,366,437,253,619,666,412,459,592,713,663,676,351,224,605,618,568,435,364,251,458,689,408,615,662,377,429,455,350,709,434,250,603,655,360,614,247,560,660,454,427,681,481,373,319,400,192,602,348,707,654,573,246,599,612,413,426,452,318,371,423,677,239,706,625,652,544,344,598,571,365,465,244,411,665,370,422,128,238,591,316,675,570,596,363,648,410,617,336,567,223,457,407,661,590,420,236,674,349,362,312,249,433,566,222,359,406,613,588,659,453,232,559,347,399,601,653,358,245,191,304,564,404,220,425,611,658,346,451,584,558,398,317,343,190,356,651,597,243,610,216,543,421,237,450,369,288,396,556,705,342,315,242,650,409,595,188,569,127,542,647,335,235,419,589,208,314,340,392,552,361,594,311,126,405,334,221,234,184,565,646,418,540,673,587,231,310,357,124,219,332,403,563,644,230,586,303,176,345,536,397,557,308,583,218,355,657,402,189,562,328,302,120,215,228,395,341,582,555,609,354,241,528,160,287,214,187,449,300,649,394,112,541,313,339,554,207,580,286,391,186,212,551,333,233,125,183,296,593,206,338,539,390,309,645,417,284,550,331,96,182,229,123,204,538,175,307,217,388,585,330,535,548,643,280,180,122,227,301,327,401,200,174,119,306,561,64,534,213,642,226,326,581,159,299,353,272,118,172,527,211,185,393,532,285,111,298,158,553,324,205,579,116,295,526,168,210,337,110,181,283,156,389,203,294,549,578,524,95,282,108,179,537,202,329,152,387,279,121,292,173,199,94,547,178,520,305,104,278,386,198,533,225,171,325,63,144,117,546,92,271,157,276,170,297,196,62,115,531,323,167,641,270,88,209,109,525,155,114,60,166,293,530,322,268,107,154,80,281,201,523,151,164,56,291,577,93,106,264,177,103,150,522,277,197,290,91,519,143,48,102,148,169,385,275,195,90,545,142,518,87,61,100,269,274,165,194,113,32,140,59,86,516,153,267,79,321,529,163,58,136,84,105,266,55,149,78,162,263,54,521,101,289,76,262,147,47,89,141,52,46,72,99,146,31,44,85,139,98,193,260,517,30,57,138,83,273,40,135,515,77,28,82,53,134,514,161,75,265,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,513,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769
M＝960,N＝1024
960,896,959,768,958,956,895,952,512,894,944,892,957,928,955,767,888,954,766,951,880,950,764,893,943,948,864,891,511,942,760,890,927,940,887,510,953,752,926,886,936,765,508,879,949,924,884,763,736,832,878,947,504,920,941,762,863,876,946,759,889,939,862,496,758,912,872,509,938,925,751,885,860,704,935,756,507,923,750,480,883,934,856,831,877,922,506,735,882,748,919,932,503,830,875,640,761,734,848,918,502,744,874,945,828,861,448,871,911,757,732,495,916,500,859,870,910,824,937,703,494,755,728,858,749,855,702,868,754,908,479,933,492,384,816,747,854,921,829,720,505,478,700,881,931,904,746,847,639,733,488,852,827,743,800,917,501,476,930,846,873,696,638,731,826,742,447,256,823,915,499,730,844,869,472,636,446,909,493,727,740,822,688,498,914,857,701,867,815,726,491,840,907,444,632,820,753,464,853,383,719,699,814,672,866,490,724,477,906,487,718,698,382,440,903,745,851,799,812,624,695,475,845,486,637,902,825,716,798,850,741,694,380,474,808,432,843,471,729,635,484,687,608,255,821,796,929,445,692,739,712,900,842,470,376,634,686,725,254,839,819,631,497,443,738,416,792,463,813,671,468,684,913,723,630,838,818,442,252,576,462,368,489,717,439,670,811,697,623,722,784,381,680,628,865,836,905,438,460,715,810,622,797,485,668,693,248,807,379,352,431,473,714,436,849,795,607,901,691,620,483,456,806,711,378,430,664,685,240,375,469,794,633,606,690,482,710,899,791,841,616,804,253,415,428,683,374,320,467,656,629,604,737,790,441,414,708,461,575,367,682,251,669,224,898,372,424,466,837,817,679,627,783,366,574,600,459,412,788,437,250,667,621,678,721,626,247,782,835,809,458,351,364,666,435,572,619,408,455,663,246,592,676,429,192,780,713,350,834,377,434,618,805,605,239,454,360,662,568,615,427,244,793,689,400,348,373,709,603,655,238,803,776,319,614,426,660,452,413,481,423,371,602,789,654,128,560,318,681,707,344,223,802,236,599,612,411,365,573,422,370,465,787,652,222,249,598,706,316,410,677,363,571,781,544,232,336,407,420,625,591,665,786,457,362,220,596,245,349,570,675,648,897,191,406,359,312,590,779,567,617,433,661,347,243,399,453,674,190,358,216,404,566,778,237,588,346,304,613,398,242,659,775,425,559,451,833,343,188,356,317,601,653,235,564,127,208,658,611,584,396,558,774,342,421,450,234,315,221,288,651,369,597,126,184,231,335,409,610,543,556,340,314,419,392,801,772,219,650,230,334,311,595,124,361,542,569,647,405,176,589,218,418,705,552,310,594,215,332,228,189,357,646,785,540,565,403,120,303,587,214,308,345,397,187,160,355,241,402,328,302,563,673,586,644,207,536,212,777,186,395,583,557,341,112,354,183,562,206,287,300,233,125,394,582,555,339,657,182,286,313,391,773,528,204,333,229,449,296,123,96,554,338,175,541,580,180,609,390,284,217,309,551,331,122,649,227,174,200,771,539,119,550,307,213,330,388,417,280,226,593,159,172,327,301,118,64,538,645,770,306,211,535,548,158,111,185,326,299,205,116,168,401,585,272,210,534,643,110,156,181,298,285,203,561,353,324,527,295,581,108,532,95,393,642,179,202,283,152,294,526,173,199,553,94,337,121,178,579,282,389,104,198,279,171,292,524,549,117,144,92,63,329,578,278,170,387,157,196,225,537,167,115,62,305,271,88,547,520,325,109,155,386,276,166,114,533,209,270,154,60,107,297,546,80,323,151,164,531,106,268,769,93,201,56,293,150,103,322,525,177,281,530,91,143,197,102,291,264,148,48,523,90,142,277,169,641,87,100,61,290,195,522,140,86,275,519,165,59,194,32,577,113,269,153,79,274,518,58,84,163,385,136,55,105,267,78,545,149,162,516,54,266,101,321,76,147,263,529,47,89,141,52,99,46,521,72,262,289,146,31,44,85,139,98,193,260,517,30,57,138,83,273,40,135,515,77,28,82,53,134,514,161,75,265,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,513,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961
M＝1200,N＝2048
1024,1023,1022,1020,1016,1008,1152,1200,1184,1021,992,1019,1018,1151,1015,960,1 014,1150,1199,1007,1012,896,1006,1148,1198,991,1004,1017,990,768,1000,1144,1196,959,1013,988,1183,958,1011,984,1192,1005,512,1136,1010,956,1182,895,976,1003,1149,894,952,989,1002,1180,999,1120,892,1147,987,944,767,998,1197,986,1176,888,957,1146,996,983,766,928,1009,1143,955,982,1195,880,764,975,1142,954,511,980,1088,1001,893,951,974,760,1194,1135,864,510,950,1191,997,1140,891,972,1181,943,985,1168,752,948,1134,890,508,995,968,942,887,832,1190,765,981,1119,1179,994,927,1132,504,886,940,736,1145,953,979,763,879,926,1188,1118,1178,973,884,936,978,1128,496,762,878,1175,924,949,704,759,971,1141,863,1116,509,876,947,920,1174,758,970,889,1087,480,862,941,967,751,1139,946,507,872,1193,1112,756,640,993,912,966,831,939,860,885,1133,750,1172,1086,506,1138,925,448,964,938,1167,830,503,735,883,856,935,748,977,1104,877,1131,1189,1084,761,923,502,828,734,882,934,1166,744,495,848,922,1117,875,969,1130,703,500,384,932,919,732,757,824,1080,1177,1187,1127,861,494,945,874,1164,918,871,702,965,1115,755,479,728,911,816,1126,859,492,1186,749,870,916,937,700,1173,754,505,963,639,1160,478,910,858,1114,1072,829,256,720,868,855,488,1124,747,1111,800,962,933,881,638,696,908,447,1085,476,1137,501,827,854,733,746,921,1171,1110,847,743,931,446,1056,636,904,826,852,472,688,873,499,731,1083,823,1103,846,742,917,1170,930,493,1108,1165,444,1129,632,498,383,730,701,822,869,1082,844,740,464,1102,727,915,672,815,491,857,1079,753,909,820,382,440,699,1163,914,726,624,867,840,1125,814,477,490,1100,719,961,1078,907,487,853,698,866,380,799,724,1113,745,637,432,812,1162,695,475,718,906,608,1185,255,1071,486,1123,825,798,851,1159,1096,903,1076,376,694,808,474,845,635,741,716,445,929,850,484,254,687,471,902,1109,796,1122,416,729,1070,821,692,1158,634,497,843,576,739,712,443,686,470,368,631,900,252,1055,792,819,1068,842,463,1107,725,738,913,671,1156,442,813,839,630,468,684,1169,1081,489,381,818,1101,439,1054,462,623,248,784,865,670,697,352,723,1106,838,628,1064,811,680,717,905,438,379,622,722,460,485,668,1052,836,797,1099,810,1077,431,693,240,607,473,715,807,436,849,320,378,620,901,456,483,664,1098,430,795,375,1161,691,714,806,1048,606,633,1075,1095,253,711,685,482,415,469,224,616,794,899,374,690,428,841,804,656,791,737,1069,575,1121,604,710,1074,367,1094,414,683,629,441,817,251,467,898,372,1157,790,1040,424,574,461,837,708,669,682,366,600,192,466,783,1067,412,250,627,1092,679,721,788,437,247,572,351,809,621,459,835,782,667,364,1053,1105,626,1155,1066,678,408,592,246,1063,435,458,350,834,666,377,780,619,568,713,128,805,455,676,239,429,663,360,1154,434,1051,244,605,400,793,618,319,689,481,348,1062,454,776,662,238,615,803,427,373,1097,560,709,1050,655,318,603,223,452,1060,344,413,614,802,660,789,426,1047,236,897,681,371,707,654,423,465,602,573,1073,544,316,222,612,365,1093,599,249,411,787,370,706,1046,422,336,652,232,625,677,781,571,598,191,220,410,786,312,1039,363,457,665,420,407,591,1044,1091,648,245,833,570,675,349,779,596,1065,362,190,433,1038,567,216,617,406,590,359,304,674,453,661,778,1090,243,399,347,566,188,775,358,404,127,588,237,1036,208,613,559,242,425,1061,398,659,451,801,288,317,346,774,564,601,653,356,343,126,184,584,658,235,1153,450,558,1049,611,396,369,421,1032,772,705,315,1059,342,221,543,651,234,610,597,124,409,556,335,785,231,176,392,314,419,650,340,542,1058,1045,311,219,569,647,361,334,595,230,552,120,418,405,589,673,540,218,310,160,189,594,646,777,332,228,215,1043,357,303,565,403,112,587,308,644,536,241,1037,345,397,187,214,328,402,302,1042,355,563,773,586,657,207,1089,449,583,186,287,557,395,96,212,528,354,300,562,125,341,183,1035,206,233,609,771,582,394,286,555,313,391,649,182,339,296,123,770,204,1034,580,64,541,175,333,284,554,229,417,1031,390,338,551,180,122,593,217,200,309,174,645,119,1057,539,280,331,1030,227,388,550,159,118,172,538,307,330,643,226,401,1028,213,548,272,535,327,111,585,301,158,306,116,642,168,534,326,353,185,561,110,211,1041,156,299,527,205,581,393,95,324,532,210,108,285,298,152,526,181,295,94,203,579,769,553,104,337,283,389,1033,144,524,294,63,202,92,578,179,121,282,199,173,520,292,387,62,549,178,279,88,198,1029,329,386,537,225,117,278,60,171,80,547,196,157,170,115,305,167,109,271,325,155,114,209,276,533,166,546,641,270,107,297,154,323,56,151,531,164,93,106,201,268,525,322,103,293,150,530,177,91,281,48,143,523,102,197,264,577,291,148,90,61,142,522,87,169,277,100,195,290,385,519,32,59,86,140,113,194,275,518,165,545,79,269,58,153,84,274,55,136,516,163,78,105,267,1027,321,54,149,529,162,76,266,47,1026,101,263,52,147,89,46,141,521,72,262 ,99,289,146,31,44,85,139,98,193,260,517,30,57,138,83,273,40,135,515,77,28,82,53,134,514,161,75,265,1025,24,51,132,74,45,71,261,50,145,16,43,70,97,259,29,42,137,68,258,39,27,81,38,133,513,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,2048,2047,2046,2045,2044,2043,2042,2041,2040,2039,2038,2037,2036,2035,2034,2033,2032,2031,2030,2029,2028,2027,2026,2025,2024,2023,2022,2021,2020,2019,2018,2017,2016,2015,2014,2013,2012,2011,2010,2009,2008,2007,2006,2005,2004,2003,2002,2001,2000,1999,1998,1997,1996,1995,1994,1993,1992,1991,1990,1989,1988,1987,1986,1985,1984,1983,1982,1981,1980,1979,1978,1977,1976,1975,1974,1973,1972,1971,1970,1969,1968,1967,1966,1965,1964,1963,1962,1961,1960,1959,1958,1957,1956,1955,1954,1953,1952,1951,1950,1949,1948,1947,1946,1945,1944,1943,1942,1941,1940,1939,1938,1937,1936,1935,1934,1933,1932,1931,1930,1929,1928,1927,1926,1925,1924,1923,1922,1921,1920,1919,1918,1917,1916,1915,1914,1913,1912,1911,1910,1909,1908,1907,1906,1905,1904,1903,1902,1901,1900,1899,1898,1897,1896,1895,1894,1893,1892,1891,1890,1889,1888,1887,1886,1885,1884,1883,1882,1881,1880,1879,1878,1877,1876,1875,1874,1873,1872,1871,1870,1869,1868,1867,1866,1865,1864,1863,1862,1861,1860,1859,1858,1857,1856,1855,1854,1853,1852,1851,1850,1849,1848,1847,1846,1845,1844,1843,1842,1841,1840,1839,1838,1837,1836,1835,1834,1833,1832,1831,1830,1829,1828,1827,1826,1825,1824,1823,1822,1821,1820,1819,1818,1817,1816,1815,1814,1813,1812,1811,1810,1809,1808,1807,1806,1805,1804,1803,1802,1801,1800,1799,1798,1797,1796,1795,1794,1793,1792,1791,1790,1789,1788,1787,1786,1785,1784,1783,1782,1781,1780,1779,1778,1777,1776,1775,1774,1773,1772,1771,1770,1769,1768,1767,1766,1765,1764,1763,1762,1761,1760,1759,1758,1757,1756,1755,1754,1753,1752,1751,1750,1749,1748,1747,1746,1745,1744,1743,1742,1741,1740,1739,1738,1737,1736,1735,1734,1733,1732,1731,1730,1729,1728,1727,1726,1725,1724,1723,1722,1721,1720,1719,1718,1717,1716,1715,1714,1713,1712,1711,1710,1709,1708,1707,1706,1705,1704,1703,1702,1701,1700,1699,1698,1697,1696,1695,1694,1693,1692,1691,1690,1689,1688,1687,1686,1685,1684,1683,1682,1681,1680,1679,1678,1677,1676,1675,1674,1673,1672,1671,1670,1669,1668,1667,1666,1665,1664,1663,1662,1661,1660,1659,1658,1657,1656,1655,1654,1653,1652,1651,1650,1649,1648,1647,1646,1645,1644,1643,1642,1641,1640,1639,1638,1637,1636,1635,1634,1633,1632,1631,1630,1629,1628,1627,1626,1625,1624,1623,1622,1621,1620,1619,1618,1617,1616,1615,1614,1613,1612,1611,1610,1609,1608,1607,1606,1605,1604,1603,1602,1601,1600,1599,1598,1597,1596,1595,1594,1593,1592,1591,1590,1589,1588,1587,1586,1585,1584,1583,1582,1581,1580,1579,1578,1577,1576,1575,1574,1573,1572,1571,1570,1569,1568,1567,1566,1565,1564,1563,1562,1561,1560,1559,1558,1557,1556,1555,1554,1553,1552,1551,1550,1549,1548,1547,1546,1545,1544,1543,1542,1541,1540,1539,1538,1537,1536,1535,1534,1533,1532,1531,1530,1529,1528,1527,1526,1525,1524,1523,1522,1521,1520,1519,1518,1517,1516,1515,1514,1513,1512,1511,1510,1509,1508,1507,1506,1505,1504,1503,1502,1501,1500,1499,1498,1497,1496,1495,1494,1493,1492,1491,1490,1489,1488,1487,1486,1485,1484,1483,1482,1481,1480,1479,1478,1477,1476,1475,1474,1473,1472,1471,1470,1469,1468,1467,1466,1465,1464,1463,1462,1461,1460,1459,1458,1457,1456,1455,1454,1453,1452,1451,1450,1449,1448,1447,1446,1445,1444,1443,1442,1441,1440,1439,1438,1437,1436,1435,1434,1433,1432,1431,1430,1429,1428,1427,1426,1425,1424,1423,1422,1421,1420,1419,1418,1417,1416,1415,1414,1413,1412,1411,1410,1409,1408,1407,1406,1405,1404,1403,1402,1401,1400,1399,1398,1397,1396,1395,1394,1393,1392,1391,1390,1389,1388,1387,1386,1385,1384,1383,1382,1381,1380,1379,1378,1377,1376,1375,1374,1373,1372,1371,1370,1369,1368,1367,1366,1365,1364,1363,1362,1361,1360,1359,1358,1357,1356,1355,1354,1353,1352,1351,1350,1349,1348,1347,1346,1345,1344,1343,1342,1341,1340,1339,1338,1337,1336,1335,1334,1333,1332,1331,1330,1329,1328,1327,1326,1325,1324,1323,1322,1321,1320,1319,1318,1317,1316,1315,1314,1313,1312,1311,1310,1309,1308,1307,1306,1305,1304,1303,1302,1301,1300,1299,1298,1297,1296,1295,1294,1293,1292,1291,1290,1289,1288,1287,1286,1285,1284,1283,1282,1281,1280,1279,1278,1277,1276,1275,1274,1273,1272,1271,1270,1269,1268,1267,1266,1265,1264,1263,1262,1261,1260,1259,1258,1257,1256,1255,1254,1253,1252,1251,1250,1249,1248,1247,1246,1245,1244,1243,1242,1241,1240,1239,1238,1237,1236,1235,1234,1233,1232,1231,1230,1229,1228,1227,1226,1225,1224,1223,1222,1 221,1220,1219,1218,1217,1216,1215,1214,1213,1212,1211,1210,1209,1208,1207,1206,1205,1204,1203,1202,1201
M＝1440,N＝2048
1024,1023,1022,1020,1408,1280,1407,1406,1440,1016,1439,1404,1008,1438,1279,1021,1400,992,1278,1019,1436,1392,1018,1015,1276,1405,960,1432,1014,1403,1376,1007,1272,1012,1424,1402,1006,896,1399,1437,991,1264,1004,1344,1398,1017,1277,990,1435,1391,768,1000,1396,1013,959,988,1275,1248,1390,1434,958,1431,1011,1274,984,1005,1375,1388,1271,1010,1401,956,1430,895,1216,1003,1374,976,1384,1270,1423,894,1397,989,1002,952,1428,1263,999,1372,1343,512,1268,1422,987,892,1395,998,1262,944,767,1342,1389,1368,986,957,1394,983,996,1420,888,1247,766,1260,1433,1340,1387,1009,1273,928,982,955,1360,1152,1246,764,975,880,1416,1386,1256,954,1373,980,1336,1001,1383,1269,1429,951,893,974,1215,1244,760,1371,1382,950,864,997,1267,891,972,1328,1427,1214,943,985,511,1240,1261,1370,948,1380,1421,752,995,890,1341,1266,1367,968,942,887,1426,1393,1212,510,765,981,832,1259,994,927,1366,1232,1339,940,886,1419,1312,736,979,953,1258,1359,763,508,1245,926,879,1208,1385,1151,973,1255,1338,1364,884,936,978,1418,1335,762,1358,949,878,924,1243,1415,759,971,1254,1150,504,1381,704,1200,1334,863,1356,947,876,1242,970,758,920,1414,1213,1327,1369,1252,889,941,1148,967,1239,1379,862,496,946,751,1332,1265,872,1352,756,1326,966,993,939,1238,509,912,1211,885,831,1378,1184,1365,1412,640,750,860,1144,1231,925,938,964,1425,480,1324,1257,1210,735,830,1236,1311,935,883,507,1363,748,977,856,1337,1207,877,1230,923,1136,761,1357,934,882,734,506,1310,828,1320,1362,1253,1206,1149,503,744,922,875,848,1228,1333,969,1417,448,919,932,703,757,1355,1199,732,1241,1308,824,861,874,502,945,1120,1251,1204,1147,918,871,1331,1224,1354,702,965,755,1198,495,728,911,1413,1351,1325,859,1237,1250,1304,500,749,1146,870,816,916,937,1330,754,494,1143,963,700,1183,1377,384,1196,910,858,639,1350,829,1088,1323,1235,855,747,1209,868,720,479,1411,1296,962,933,1142,1229,1182,492,881,800,908,638,696,1192,733,827,854,1322,746,1234,505,1348,921,1135,1309,478,743,1205,1319,847,931,1140,1361,1410,1227,1180,488,826,904,852,636,256,731,873,1134,823,742,917,688,501,447,1307,846,1318,930,476,1203,1226,730,1176,1119,701,1197,822,1223,869,632,727,1353,740,1132,446,915,1306,499,844,1202,1316,472,815,1145,1303,857,909,753,493,672,1249,1118,1222,820,699,726,1329,1195,914,867,498,1168,444,840,1128,814,624,1349,719,1302,383,907,491,853,464,698,1141,1087,1194,866,724,1220,745,1116,1181,961,799,1295,637,695,1191,812,718,440,1321,906,382,1233,477,490,1300,1347,825,851,1086,903,1139,798,487,608,694,1179,1294,741,845,1112,1190,635,716,1133,808,475,850,380,687,929,729,902,1346,432,1138,486,1317,821,796,1084,255,1178,692,1225,634,739,843,1292,1188,474,712,1175,1131,686,631,445,1104,1409,576,1305,900,484,471,376,1201,819,725,254,842,738,1315,792,671,1080,913,497,813,1174,1117,1130,416,839,1221,630,684,1288,443,470,818,1127,697,723,1167,623,1314,1301,670,252,368,865,463,838,1193,811,784,717,1172,628,1115,442,680,1219,468,489,1072,1126,722,905,1166,439,622,381,693,668,462,797,810,836,1299,715,1114,248,1085,807,1218,1189,607,1124,849,352,1111,438,1293,485,620,1164,901,691,460,379,795,714,664,1298,1137,1056,431,806,633,1177,473,685,711,606,1083,1110,240,436,1187,690,483,794,378,1291,616,1345,841,456,899,1160,430,1103,737,804,791,710,375,656,320,575,683,1082,629,253,469,604,1108,1129,482,1173,1186,817,415,1290,1079,898,790,428,1102,669,682,374,708,224,837,574,1287,627,441,467,679,783,251,600,721,414,367,1171,1078,1125,621,461,788,809,667,1313,1100,424,372,1165,835,626,572,466,678,1286,1071,782,250,1113,366,437,1170,412,666,592,1076,247,619,459,192,1123,713,834,676,805,663,1096,351,1163,1070,780,568,1284,1217,364,435,605,689,618,408,458,246,1109,793,1122,377,429,662,615,455,1297,1055,350,709,803,1162,239,434,1068,776,655,603,360,560,244,1159,481,128,1081,1107,614,454,400,660,427,789,681,319,802,1054,373,348,238,707,1101,654,602,1185,573,1064,1158,897,413,1289,612,1106,426,599,452,223,318,787,706,423,371,1077,677,544,236,1052,625,465,344,652,1099,781,571,598,365,249,411,665,1156,222,786,422,316,370,591,675,1075,1285,232,1169,648,1098,570,1048,410,336,596,779,363,617,457,191,1069,833,420,567,1095,407,245,220,661,590,674,312,1074,433,349,362,778,1121,406,566,190,128 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M＝2400,N＝4096
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8,3757,3756,3755,3754,3753,3752,3751,3750,3749,3748,3747,3746,3745,3744,3743,3742,3741,3740,3739,3738,3737,3736,3735,3734,3733,3732,3731,3730,3729,3728,3727,3726,3725,3724,3723,3722,3721,3720,3719,3718,3717,3716,3715,3714,3713,3712,3711,3710,3709,3708,3707,3706,3705,3704,3703,3702,3701,3700,3699,3698,3697,3696,3695,3694,3693,3692,3691,3690,3689,3688,3687,3686,3685,3684,3683,3682,3681,3680,3679,3678,3677,3676,3675,3674,3673,3672,3671,3670,3669,3668,3667,3666,3665,3664,3663,3662,3661,3660,3659,3658,3657,3656,3655,3654,3653,3652,3651,3650,3649,3648,3647,3646,3645,3644,3643,3642,3641,3640,3639,3638,3637,3636,3635,3634,3633,3632,3631,3630,3629,3628,3627,3626,3625,3624,3623,3622,3621,3620,3619,3618,3617,3616,3615,3614,3613,3612,3611,3610,3609,3608,3607,3606,3605,3604,3603,3602,3601,3600,3599,3598,3597,3596,3595,3594,3593,3592,3591,3590,3589,3588,3587,3586,3585,3584,3583,3582,3581,3580,3579,3578,3577,3576,3575,3574,3573,3572,3571,3570,3569,3568,3567,3566,3565,3564,3563,3562,3561,3560,3559,3558,3557,3556,3555,3554,3553,3552,3551,3550,3549,3548,3547,3546,3545,3544,3543,3542,3541,3540,3539,3538,3537,3536,3535,3534,3533,3532,3531,3530,3529,3528,3527,3526,3525,3524,3523,3522,3521,3520,3519,3518,3517,3516,3515,3514,3513,3512,3511,3510,3509,3508,3507,3506,3505,3504,3503,3502,3501,3500,3499,3498,3497,3496,3495,3494,3493,3492,3491,3490,3489,3488,3487,3486,3485,3484,3483,3482,3481,3480,3479,3478,3477,3476,3475,3474,3473,3472,3471,3470,3469,3468,3467,3466,3465,3464,3463,3462,3461,3460,3459,3458,3457,3456,3455,3454,3453,3452,3451,3450,3449,3448,3447,3446,3445,3444,3443,3442,3441,3440,3439,3438,3437,3436,3435,3434,3433,3432,3431,3430,3429,3428,3427,3426,3425,3424,3423,3422,3421,3420,3419,3418,3417,3416,3415,3414,3413,3412,3411,3410,3409,3408,3407,3406,3405,3404,3403,3402,3401,3400,3399,3398,3397,3396,3395,3394,3393,3392,3391,3390,3389,3388,3387,3386,3385,3384,3383,3382,3381,3380,3379,3378,3377,3376,3375,3374,3373,3372,3371,3370,3369,3368,3367,3366,3365,3364,3363,3362,3361,3360,3359,3358,3357,3356,3355,3354,3353,3352,3351,3350,3349,3348,3347,3346,3345,3344,3343,3342,3341,3340,3339,3338,3337,3336,3335,3334,3333,3332,3331,3330,3329,3328,3327,3326,3325,3324,3323,3322,3321,3320,3319,3318,3317,3316,3315,3314,3313,3312,3311,3310,3309,3308,3307,3306,3305,3304,3303,3302,3301,3300,3299,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3288,3287,3286,3285,3284,3283,3282,3281,3280,3279,3278,3277,3276,3275,3274,3273,3272,3271,3270,3269,3268,3267,3266,3265,3264,3263,3262,3261,3260,3259,3258,3257,3256,3255,3254,3253,3252,3251,3250,3249,3248,3247,3246,3245,3244,3243,3242,3241,3240,3239,3238,3237,3236,3235,3234,3233,3232,3231,3230,3229,3228,3227,3226,3225,3224,3223,3222,3221,3220,3219,3218,3217,3216,3215,3214,3213,3212,3211,3210,3209,3208,3207,3206,3205,3204,3203,3202,3201,3200,3199,3198,3197,3196,3195,3194,3193,3192,3191,3190,3189,3188,3187,3186,3185,3184,3183,3182,3181,3180,3179,3178,3177,3176,3175,3174,3173,3172,3171,3170,3169,3168,3167,3166,3165,3164,3163,3162,3161,3160,3159,3158,3157,3156,3155,3154,3153,3152,3151,3150,3149,3148,3147,3146,3145,3144,3143,3142,3141,3140,3139,3138,3137,3136,3135,3134,3133,3132,3131,3130,3129,3128,3127,3126,3125,3124,3123,3122,3121,3120,3119,3118,3117,3116,3115,3114,3113,3112,3111,3110,3109,3108,3107,3106,3105,3104,3103,3102,3101,3100,3099,3098,3097,3096,3095,3094,3093,3092,3091,3090,3089,3088,3087,3086,3085,3084,3083,3082,3081,3080,3079,3078,3077,3076,3075,3074,3073,3072,3071,3070,3069,3068,3067,3066,3065,3064,3063,3062,3061,3060,3059,3058,3057,3056,3055,3054,3053,3052,3051,3050,3049,3048,3047,3046,3045,3044,3043,3042,3041,3040,3039,3038,3037,3036,3035,3034,3033,3032,3031,3030,3029,3028,3027,3026,3025,3024,3023,3022,3021,3020,3019,3018,3017,3016,3015,3014,3013,3012,3011,3010,3009,3008,3007,3006,3005,3004,3003,3002,3001,3000,2999,2998,2997,2996,2995,2994,2993,2992,2991,2990,2989,2988,2987,2986,2985,2984,2983,2982,2981,2980,2979,2978,2977,2976,2975,2974,2973,2972,2971,2970,2969,2968,2967,2966,2965,2964,2963,2962,2961,2960,2959,2958,2957,2956,2955,2954,2953,2952,2951,2950,2949,2948,2947,2946,2945,2944,2943,2942,2941,2940,2939,2938,2937,2936,2935,2934,2933,2932,2931,2930,2929,2928,2927,2926,2925,2924,2923,2922,2921,2920,2919,2918,2917,2916,2915,2914,2913,2912,2911,2910,2909,2908,2907,2906,2905,2904,2903,2902,2901,2900,2899,2898,2897,2896,2895,2894,2893,2892,2891,2890,2889,2888,2887,2886,2885,2884,2883,2882,2881,2880,2879,2878,2877,2876,2875,287 4,2873,2872,2871,2870,2869,2868,2867,2866,2865,2864,2863,2862,2861,2860,2859,2858,2857,2856,2855,2854,2853,2852,2851,2850,2849,2848,2847,2846,2845,2844,2843,2842,2841,2840,2839,2838,2837,2836,2835,2834,2833,2832,2831,2830,2829,2828,2827,2826,2825,2824,2823,2822,2821,2820,2819,2818,2817,2816,2815,2814,2813,2812,2811,2810,2809,2808,2807,2806,2805,2804,2803,2802,2801,2800,2799,2798,2797,2796,2795,2794,2793,2792,2791,2790,2789,2788,2787,2786,2785,2784,2783,2782,2781,2780,2779,2778,2777,2776,2775,2774,2773,2772,2771,2770,2769,2768,2767,2766,2765,2764,2763,2762,2761,2760,2759,2758,2757,2756,2755,2754,2753,2752,2751,2750,2749,2748,2747,2746,2745,2744,2743,2742,2741,2740,2739,2738,2737,2736,2735,2734,2733,2732,2731,2730,2729,2728,2727,2726,2725,2724,2723,2722,2721,2720,2719,2718,2717,2716,2715,2714,2713,2712,2711,2710,2709,2708,2707,2706,2705,2704,2703,2702,2701,2700,2699,2698,2697,2696,2695,2694,2693,2692,2691,2690,2689,2688,2687,2686,2685,2684,2683,2682,2681,2680,2679,2678,2677,2676,2675,2674,2673,2672,2671,2670,2669,2668,2667,2666,2665,2664,2663,2662,2661,2660,2659,2658,2657,2656,2655,2654,2653,2652,2651,2650,2649,2648,2647,2646,2645,2644,2643,2642,2641,2640,2639,2638,2637,2636,2635,2634,2633,2632,2631,2630,2629,2628,2627,2626,2625,2624,2623,2622,2621,2620,2619,2618,2617,2616,2615,2614,2613,2612,2611,2610,2609,2608,2607,2606,2605,2604,2603,2602,2601,2600,2599,2598,2597,2596,2595,2594,2593,2592,2591,2590,2589,2588,2587,2586,2585,2584,2583,2582,2581,2580,2579,2578,2577,2576,2575,2574,2573,2572,2571,2570,2569,2568,2567,2566,2565,2564,2563,2562,2561,2560,2559,2558,2557,2556,2555,2554,2553,2552,2551,2550,2549,2548,2547,2546,2545,2544,2543,2542,2541,2540,2539,2538,2537,2536,2535,2534,2533,2532,2531,2530,2529,2528,2527,2526,2525,2524,2523,2522,2521,2520,2519,2518,2517,2516,2515,2514,2513,2512,2511,2510,2509,2508,2507,2506,2505,2504,2503,2502,2501,2500,2499,2498,2497,2496,2495,2494,2493,2492,2491,2490,2489,2488,2487,2486,2485,2484,2483,2482,2481,2480,2479,2478,2477,2476,2475,2474,2473,2472,2471,2470,2469,2468,2467,2466,2465,2464,2463,2462,2461,2460,2459,2458,2457,2456,2455,2454,2453,2452,2451,2450,2449,2448,2447,2446,2445,2444,2443,2442,2441,2440,2439,2438,2437,2436,2435,2434,2433,2432,2431,2430,2429,2428,2427,2426,2425,2424,2423,2422,2421,2420,2419,2418,2417,2416,2415,2414,2413,2412,2411,2410,2409,2408,2407,2406,2405,2404,2403,2402,2401
表4
M＝48,N＝64
63,62,61,59,58,55,54,47,46,31,30,57,53,51,50,45,43,42,39,29,27,38,26,23,22,15,14,49,41,37,25,35,21,34,19,13,18,11,10,7,6,33,17,9,5,3,2,1,4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64
M＝72,N＝128
127,125,123,119,111,95,63,121,114,117,115,109,107,93,103,91,61,87,59,113,79,55,105,47,101,89,99,31,85,98,57,83,77,82,53,75,51,45,71,50,43,97,29,39,27,81,23,73,49,15,69,41,67,66,37,25,35,21,34,19,13,18,11,65,7,33,17,9,5,3,2,1,4,6,8,10,12,14,16,20,22,24,26,28,30,32,36,38,40,42,44,46,48,52,54,56,58,60,62,64,68,70,72,74,76,78,80,84,86,88,90,92,94,96,100,102,104,106,108,110,112,116,118,120,122,124,126,128
M＝96,N＝128
127,126,125,123,122,119,118,111,110,95,94,63,121,62,117,115,114,109,107,106,103,93,91,102,90,87,86,61,59,79,58,78,55,54,113,47,46,105,101,31,99,89,30,98,85,83,82,57,77,75,53,51,74,71,50,45,70,43,42,39,97,29,27,81,38,26,23,73,22,49,15,69,14,41,67,66,37,25,35,21,34,19,13,18,11,65,10,7,6,33,17,9,5,3,2,1,4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,100,104,108,112,116,120,124,128
M＝120,N＝128
127,126,124,120,125,123,122,119,111,118,110,116,95,108,94,104,121,63,92,117,62,88,115,109,60,114,107,56,106,93,103,91,102,90,61,87,100,79,86,59,113,78,58,84,55,105,47,76,5 4,101,46,52,72,89,31,99,44,85,30,98,83,40,77,57,28,82,75,53,24,74,51,45,71,50,43,70,42,29,68,39,97,27,38,26,81,23,36,15,22,73,14,20,49,69,41,12,67,37,66,25,8,35,21,34,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,16,32,48,64,80,96,112,128
M＝144,N＝256
223,239,191,247,251,127,253,255,249,242,245,243,237,235,231,221,219,215,189,187,241,207,183,125,233,123,175,229,217,119,227,159,213,226,111,185,211,205,210,181,95,203,179,121,173,199,178,63,117,171,225,157,115,167,109,155,114,209,107,151,93,201,103,177,91,143,197,61,87,169,195,59,113,194,165,79,153,55,163,105,149,162,47,101,147,89,141,99,146,31,85,139,98,193,57,83,135,77,82,53,161,75,51,45,71,50,145,43,97,29,137,39,27,81,133,23,131,73,49,130,15,69,41,67,66,37,25,35,21,34,129,19,13,18,11,65,7,33,17,9,5,3,2,1,4,6,8,10,12,14,16,20,22,24,26,28,30,32,36,38,40,42,44,46,48,52,54,56,58,60,62,64,68,70,72,74,76,78,80,84,86,88,90,92,94,96,100,102,104,106,108,110,112,116,118,120,122,124,126,128,132,134,136,138,140,142,144,148,150,152,154,156,158,160,164,166,168,170,172,174,176,180,182,184,186,188,190,192,196,198,200,202,204,206,208,212,214,216,218,220,222,224,228,230,232,234,236,238,240,244,246,248,250,252,254,256
M＝160,N＝256
247,250,251,239,253,255,223,191,127,249,245,242,243,237,234,235,231,221,218,219,215,189,207,186,187,183,175,125,122,123,119,159,111,241,233,95,229,226,227,217,213,210,211,205,185,202,203,181,179,121,173,199,178,63,117,171,225,157,170,115,167,109,155,114,209,107,154,151,93,106,201,103,177,91,143,197,90,61,87,169,195,59,113,194,165,79,58,153,55,163,105,149,162,47,101,147,89,141,99,146,31,85,139,98,193,57,138,83,135,77,82,53,161,75,51,74,45,71,50,145,43,97,29,42,137,39,27,81,133,26,23,131,73,49,130,15,69,41,67,66,37,25,35,21,34,129,19,13,18,11,65,10,7,33,17,9,5,3,2,1,4,6,8,12,14,16,20,22,24,28,30,32,36,38,40,44,46,48,52,54,56,60,62,64,68,70,72,76,78,80,84,86,88,92,94,96,100,102,104,108,110,112,116,118,120,124,126,128,132,134,136,140,142,144,148,150,152,156,158,160,164,166,168,172,174,176,180,182,184,188,190,192,196,198,200,204,206,208,212,214,216,220,222,224,228,230,232,236,238,240,244,246,248,252,254,256
M＝180,N＝256
255,253,250,251,247,246,239,223,191,249,245,127,243,242,237,234,235,231,230,221,218,219,215,214,189,206,186,187,207,183,182,175,125,122,123,119,118,241,159,233,111,229,227,217,226,213,211,95,210,205,185,203,202,181,179,199,178,173,198,63,170,171,121,167,166,157,117,115,154,155,114,109,106,107,151,150,103,102,93,142,143,90,91,87,86,61,78,58,225,209,201,177,197,169,195,59,113,194,165,79,153,55,163,105,54,149,162,47,101,147,89,141,99,146,31,85,139,98,193,57,138,83,135,77,82,53,134,161,75,51,74,45,71,50,145,43,70,97,29,42,137,39,27,81,38,133,26,23,131,73,22,49,130,15,69,14,41,67,66,37,25,35,21,34,129,19,13,18,11,65,10,7,6,33,17,9,5,3,2,1,4,8,12,16,20,24,28,30,32,36,40,44,46,48,52,56,60,62,64,68,72,76,80,84,88,92,94,96,100,104,108,110,112,116,120,124,126,128,132,136,140,144,148,152,156,158,160,164,168,172,174,176,180,184,188,190,192,196,200,204,208,212,216,220,222,224,228,232,236,238,240,244,248,252,254,256
M＝192,N＝256
254,255,253,251,250,247,246,239,238,223,222,191,190,249,245,243,127,242,126,237,235,234,231,221,230,219,218,215,214,189,187,207,186,206,183,182,175,125,123,174,241,122,119,233,159,118,229,158,227,111,217,110,226,213,211,210,95,205,185,203,94,181,179,202,199,178,173,63,198,171,62,121,170,167,117,115,157,155,166,114,154,109,107,151,106,150,103,93,91,143,102,225,90,142,87,86,209,61,59,79,201,58,78,55,177,197,54,195,47,169,194,46,165,163,153,113,105,149,162,101,147,89,141,99,146,31,85,139,98,193,30,57,138,83,135,77,82,53,134,161,75,51,74,45,71,50,145,43,70,97,29,42,137,39,27,81,38,133,26,23,131,73,22,49,130,15,69,14,41,67,66,37,25,35,21,34,129,19,13,18,11,65,10,7,6,33,17,9,5,3,2,1,4,8,12,16,20,24,2 8,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,100,104,108,112,116,120,124,128,132,136,140,144,148,152,156,160,164,168,172,176,180,184,188,192,196,200,204,208,212,216,220,224,228,232,236,240,244,248,252,256
M＝240,N＝256
255,254,252,248,253,251,250,247,246,239,244,238,223,236,222,232,220,191,249,190,245,216,243,237,188,127,242,235,126,184,234,221,231,124,219,230,218,215,189,228,120,207,214,187,206,186,212,241,183,125,204,175,182,233,123,174,229,180,200,122,217,159,119,227,172,213,118,111,158,226,211,168,110,116,205,185,156,210,95,203,108,181,152,94,202,179,173,199,104,121,178,63,92,171,198,117,62,170,157,196,88,167,115,109,155,225,60,166,114,154,107,151,164,209,56,106,93,143,150,103,201,91,102,142,148,177,90,197,87,61,100,140,169,79,86,195,59,165,78,194,58,84,136,113,153,55,163,76,47,54,105,149,162,46,101,52,147,72,141,89,31,99,44,146,139,85,30,98,138,40,83,135,77,28,57,82,134,75,53,24,74,193,51,132,45,71,50,43,70,161,42,29,145,68,39,27,97,137,81,38,133,26,23,36,131,73,22,49,130,15,69,20,14,41,67,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256
M＝288,N＝512
383,255,447,443,445,439,463,431,471,381,379,475,477,375,415,367,479,487,491,493,495,498,499,501,351,511,509,507,503,505,497,489,485,473,483,253,469,482,251,441,467,461,466,247,437,459,435,377,239,429,455,434,319,373,427,481,223,413,371,423,365,249,411,370,465,363,191,245,407,349,457,359,243,433,347,237,399,453,242,127,317,235,343,425,451,221,315,369,450,231,421,335,219,409,311,419,361,189,215,405,418,303,357,187,241,403,345,207,397,355,402,183,125,287,233,341,395,354,449,123,313,175,339,229,391,333,217,338,119,309,227,417,331,159,213,226,307,111,301,327,185,211,306,401,205,299,353,210,181,95,285,203,393,295,179,121,283,173,337,199,389,178,63,117,171,279,225,387,329,157,115,305,386,167,109,271,325,155,114,209,107,297,323,151,93,201,322,103,293,177,91,281,143,197,291,61,87,169,277,195,290,385,59,113,194,275,165,79,269,153,274,55,163,105,267,321,149,162,47,101,263,147,89,141,99,289,146,31,85,139,98,193,57,83,273,135,77,82,53,161,75,265,51,45,71,261,50,145,43,97,259,29,137,258,39,27,81,133,23,131,73,49,130,15,69,41,67,257,66,37,25,35,21,34,129,19,13,18,11,65,7,33,17,9,5,3,2,1,4,6,8,10,12,14,16,20,22,24,26,28,30,32,36,38,40,42,44,46,48,52,54,56,58,60,62,64,68,70,72,74,76,78,80,84,86,88,90,92,94,96,100,102,104,106,108,110,112,116,118,120,122,124,126,128,132,134,136,138,140,142,144,148,150,152,154,156,158,160,164,166,168,170,172,174,176,180,182,184,186,188,190,192,196,198,200,202,204,206,208,212,214,216,218,220,222,224,228,230,232,234,236,238,240,244,246,248,250,252,254,256,260,262,264,266,268,270,272,276,278,280,282,284,286,288,292,294,296,298,300,302,304,308,310,312,314,316,318,320,324,326,328,330,332,334,336,340,342,344,346,348,350,352,356,358,360,362,364,366,368,372,374,376,378,380,382,384,388,390,392,394,396,398,400,404,406,408,410,412,414,416,420,422,424,426,428,430,432,436,438,440,442,444,446,448,452,454,456,458,460,462,464,468,470,472,474,476,478,480,484,486,488,490,492,494,496,500,502,504,506,508,510,512
M＝300,N＝512
383,255,447,471,475,445,463,477,443,479,439,487,491,431,493,495,379,381,415,375,498,499,501,367,503,505,507,351,253,509,251,247,511,239,319,497,223,489,482,485,473,483,466,469,458,467,461,441,191,459,434,437,435,377,429,455,373,427,481,413,426,371,423,365,249,411,370,465,363,245,407,349,457,359,243,433,347,237,399,453,242,127,317,235,343,425,451,221,315,369,450,231,421,335,219,409,311,419,361,189,215,405,418,303,357,187,241,403,345,207,397,355,402,183,125,287,233,341,395,354,449,123,313,394,175,339,229,391,333,217,338,119,309,227,417,331,159,213,226,307,330,111,301,327,185,211,306,401,205,299,353,210,181,95,285,203,298,393,295,179,121,202,283,173,337,199,389,178,63,117,171,279,225,387,329,157,170,115,305,386,167,109,271,325,155,114,209,107,297,323,151,93,201,322,103,2 93,177,91,281,143,197,291,61,87,169,277,195,290,385,59,113,194,275,165,79,269,153,274,55,163,105,267,321,149,162,266,47,101,263,147,89,141,99,289,146,31,85,139,98,193,57,138,83,273,135,77,82,53,161,75,265,51,74,45,71,261,50,145,43,97,259,29,42,137,258,39,27,81,133,23,131,73,49,130,15,69,41,67,257,66,37,25,35,21,34,129,19,13,18,11,65,10,7,33,17,9,5,3,2,1,4,6,8,12,14,16,20,22,24,26,28,30,32,36,38,40,44,46,48,52,54,56,58,60,62,64,68,70,72,76,78,80,84,86,88,90,92,94,96,100,102,104,106,108,110,112,116,118,120,122,124,126,128,132,134,136,140,142,144,148,150,152,154,156,158,160,164,166,168,172,174,176,180,182,184,186,188,190,192,196,198,200,204,206,208,212,214,216,218,220,222,224,228,230,232,234,236,238,240,244,246,248,250,252,254,256,260,262,264,268,270,272,276,278,280,282,284,286,288,292,294,296,300,302,304,308,310,312,314,316,318,320,324,326,328,332,334,336,340,342,344,346,348,350,352,356,358,360,362,364,366,368,372,374,376,378,380,382,384,388,390,392,396,398,400,404,406,408,410,412,414,416,420,422,424,428,430,432,436,438,440,442,444,446,448,452,454,456,460,462,464,468,470,472,474,476,478,480,484,486,488,490,492,494,496,500,502,504,506,508,510,512
M＝360,N＝512
479,447,495,502,503,506,507,509,511,383,505,501,499,498,493,490,491,487,255,486,477,474,475,471,470,462,445,463,442,443,439,438,431,381,378,379,375,374,415,367,497,253,489,250,251,351,485,247,246,483,473,482,469,467,239,466,461,441,459,319,458,437,435,455,434,429,454,223,426,427,377,423,422,413,373,410,411,371,370,365,191,407,362,363,406,359,358,349,398,399,346,347,249,245,343,243,342,127,242,237,317,234,235,334,314,315,335,231,230,221,311,310,481,218,219,465,457,214,215,303,433,189,453,206,451,425,186,187,207,450,421,183,182,287,419,409,369,418,175,405,125,361,403,122,123,402,357,397,119,118,355,345,395,159,354,394,341,339,391,111,241,338,390,333,233,313,331,330,229,309,307,227,449,217,417,213,226,301,327,185,211,306,401,205,299,326,353,210,181,95,285,203,298,393,295,179,121,202,283,173,337,199,294,389,178,282,63,117,171,198,279,225,387,329,157,170,278,115,305,386,167,109,271,325,155,114,209,166,270,107,297,154,323,151,93,106,201,322,103,293,150,177,91,281,143,102,197,291,90,61,142,87,169,277,195,290,385,59,86,113,194,275,165,79,269,58,153,274,55,163,78,105,267,321,54,149,162,266,47,101,263,147,89,141,262,99,289,146,31,85,139,98,193,57,138,83,273,135,77,82,53,134,161,75,265,51,74,45,71,261,50,145,43,70,97,259,29,42,137,258,39,27,81,38,133,26,23,131,73,22,49,130,15,69,14,41,67,257,66,37,25,35,21,34,129,19,13,18,11,65,10,7,6,33,17,9,5,3,2,1,4,8,12,16,20,24,28,30,32,36,40,44,46,48,52,56,60,62,64,68,72,76,80,84,88,92,94,96,100,104,108,110,112,116,120,124,126,128,132,136,140,144,148,152,156,158,160,164,168,172,174,176,180,184,188,190,192,196,200,204,208,212,216,220,222,224,228,232,236,238,240,244,248,252,254,256,260,264,268,272,276,280,284,286,288,292,296,300,302,304,308,312,316,318,320,324,328,332,336,340,344,348,350,352,356,360,364,366,368,372,376,380,382,384,388,392,396,400,404,408,412,414,416,420,424,428,430,432,436,440,444,446,448,452,456,460,464,468,472,476,478,480,484,488,492,494,496,500,504,508,510,512
M＝384,N＝512
495,494,502,503,506,507,509,510,479,478,511,447,446,383,382,505,501,499,498,493,491,490,487,486,477,475,255,474,254,471,470,445,463,443,462,442,439,438,431,430,381,379,378,375,415,374,414,367,497,366,489,253,251,485,483,473,250,351,482,247,350,469,467,246,466,461,441,239,459,238,437,458,435,319,455,318,434,429,454,427,223,426,222,377,423,373,413,371,422,411,370,410,365,363,407,191,362,406,190,359,349,249,399,358,347,245,398,346,243,343,242,127,342,237,235,481,126,317,315,234,335,465,231,314,334,221,311,230,219,457,310,218,433,215,453,451,303,425,214,450,302,189,187,421,207,419,409,186,369,206,183,287,418,405,182,361,403,286,357,402,355,175,125,397,123,174,345,395,354,122,341,119,394,339,241,391,159,118,338,233,333,158,390,111,313,331,229,110,309,227,330,307,217,327,226,306,213,301,95,326,211,299,94,298,210,205,185,295,203,285,181,294,283,202,179,199,449,417,401,353,393,121,173,337,389,178,282,63,117,171,198,279,225,387,329,62,157,170,278, 115,305,386,167,109,271,325,155,114,209,166,270,107,297,154,323,151,93,106,201,322,103,293,150,177,91,281,143,102,197,291,90,61,142,87,169,277,195,290,385,59,86,113,194,275,165,79,269,58,153,274,55,163,78,105,267,321,54,149,162,266,47,101,263,147,89,46,141,262,99,289,146,31,85,139,98,193,30,57,138,83,273,135,77,82,53,134,161,75,265,51,74,45,71,261,50,145,43,70,97,259,29,42,137,258,39,27,81,38,133,26,23,131,73,22,49,130,15,69,14,41,67,257,66,37,25,35,21,34,129,19,13,18,11,65,10,7,6,33,17,9,5,3,2,1,4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,100,104,108,112,116,120,124,128,132,136,140,144,148,152,156,160,164,168,172,176,180,184,188,192,196,200,204,208,212,216,220,224,228,232,236,240,244,248,252,256,260,264,268,272,276,280,284,288,292,296,300,304,308,312,316,320,324,328,332,336,340,344,348,352,356,360,364,368,372,376,380,384,388,392,396,400,404,408,412,416,420,424,428,432,436,440,444,448,452,456,460,464,468,472,476,480,484,488,492,496,500,504,508,512
M＝400,N＝512
510,509,507,511,506,503,502,495,494,479,478,447,446,383,382,505,501,499,498,493,491,490,487,484,477,486,475,474,255,471,254,470,445,463,443,462,442,439,438,431,430,381,379,378,375,415,374,414,497,367,489,366,485,483,253,251,473,482,250,469,351,467,247,350,246,466,461,441,459,239,437,458,435,238,455,319,434,452,429,454,427,318,223,426,377,423,222,373,420,413,371,422,411,370,410,365,363,407,191,362,406,359,190,249,349,356,347,399,358,245,243,398,346,343,481,242,237,127,342,235,465,317,126,315,234,335,231,457,314,334,221,228,311,219,230,433,453,310,451,218,425,215,303,450,421,214,419,189,302,187,409,369,207,418,186,405,361,183,206,287,403,182,357,286,402,355,397,345,395,175,125,123,354,341,174,394,339,241,122,391,119,338,233,388,333,313,390,118,159,331,158,229,309,111,330,307,227,217,110,327,306,226,213,324,301,211,326,299,95,210,298,205,185,94,203,295,285,292,181,294,283,202,179,199,282,178,63,196,173,279,198,171,62,278,449,170,121,167,417,117,271,115,164,157,155,166,401,270,114,154,109,107,353,393,337,389,225,387,329,305,386,325,209,297,323,151,93,106,201,322,103,293,150,177,91,281,143,102,197,291,90,61,142,87,169,277,100,195,290,385,59,86,113,194,275,165,79,269,58,153,274,55,163,78,105,267,321,54,149,162,266,47,101,263,147,89,46,141,262,99,289,146,31,85,139,98,193,260,30,57,138,83,273,135,77,82,53,134,161,75,265,51,132,74,45,71,261,50,145,43,70,97,259,29,42,137,68,258,39,27,81,38,133,26,23,36,131,73,22,49,130,15,69,14,41,67,257,66,37,25,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,8,12,16,20,24,28,32,40,44,48,52,56,60,64,72,76,80,84,88,92,96,104,108,112,116,120,124,128,136,140,144,148,152,156,160,168,172,176,180,184,188,192,200,204,208,212,216,220,224,232,236,240,244,248,252,256,264,268,272,276,280,284,288,296,300,304,308,312,316,320,328,332,336,340,344,348,352,360,364,368,372,376,380,384,392,396,400,404,408,412,416,424,428,432,436,440,444,448,456,460,464,468,472,476,480,488,492,496,500,504,508,512
M＝480,N＝512
511,510,508,504,509,507,506,503,502,495,500,494,492,479,478,488,476,447,505,446,472,501,444,499,493,383,498,491,440,382,490,477,487,380,475,486,255,474,471,484,376,254,445,470,463,443,252,468,462,442,439,497,460,438,248,381,431,489,379,430,436,456,485,378,375,415,428,473,483,374,414,367,253,469,482,424,366,372,251,467,412,461,441,250,466,351,364,459,247,437,408,350,458,246,435,239,429,360,455,434,348,319,377,238,244,427,454,318,373,426,223,413,236,344,452,423,371,222,365,411,316,422,370,481,232,410,363,220,249,191,407,420,312,362,465,349,406,399,359,190,245,216,347,457,358,398,243,404,237,188,346,127,433,242,343,453,356,317,235,396,425,126,342,335,184,315,234,451,221,231,421,334,314,340,392,124,450,219,311,230,369,409,419,218,332,310,303,361,215,228,405,189,120,418,302,214,308,207,357,187,403,328,397,345,287,206,186,212,300,355,402,395,183,241,341,286,125,354,204,182,175,394,233,296,339,391,333,123,284,313,174,180,229,338,200,122,390,331,309,217,159,119,172,227,280,330,449,307,118,111,158,388,213,301,327,226,306,168,110,211,116,299,326,205,156,185,417,210,95,298,285,108,203,181,324,295,401,152,94,283,202,179, 294,173,353,199,104,282,393,178,92,121,63,171,198,279,292,337,62,117,170,278,389,271,157,88,196,167,115,329,109,155,270,60,276,387,166,114,225,154,305,107,325,386,151,268,164,56,106,93,297,209,150,143,103,323,91,102,264,201,293,142,148,322,90,281,177,87,100,291,197,61,140,277,86,169,79,59,290,195,78,275,84,58,136,165,269,55,194,153,113,274,76,163,54,47,267,105,149,162,266,46,52,72,147,101,263,141,44,31,89,146,99,262,139,30,385,85,98,40,138,260,28,83,77,135,57,82,134,75,24,53,321,74,51,289,132,45,71,193,50,273,161,265,261,145,43,70,97,259,29,42,137,68,258,39,27,81,38,133,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336,352,368,384,400,416,432,448,464,480,496,512
M＝576,N＝1024
511,759,763,765,767,751,735,509,831,507,503,703,495,863,879,479,887,891,893,889,895,1023,1021,1019,1015,1007,991,1017,959,1013,1011,1005,1010,1003,989,999,987,957,983,955,1009,975,951,1001,943,997,985,995,927,981,994,953,979,973,978,949,971,947,941,967,946,885,939,993,925,883,935,877,761,923,882,977,875,757,919,861,969,871,755,945,859,749,911,965,754,505,639,829,747,855,937,963,733,447,827,501,881,962,743,933,847,731,921,499,823,931,493,873,701,498,727,917,930,383,491,815,869,699,753,915,477,857,719,909,487,867,914,695,475,637,799,745,853,907,866,961,255,445,635,825,471,687,851,741,903,845,729,443,850,497,631,821,739,929,463,843,671,725,439,738,819,381,489,623,813,839,697,723,818,913,379,717,431,811,485,865,722,693,473,607,797,715,375,905,483,807,691,253,415,633,795,469,685,849,482,711,901,690,367,251,441,575,467,629,683,791,737,899,461,841,669,466,247,437,627,817,898,351,679,459,621,783,837,667,626,721,435,377,239,429,619,809,455,835,434,663,605,319,713,373,427,834,481,615,805,689,223,413,603,793,655,371,709,423,803,365,249,411,573,370,465,599,681,789,707,802,897,363,191,571,245,407,625,706,787,349,677,457,591,781,359,665,243,786,433,567,347,675,237,399,617,779,453,833,242,661,674,127,317,235,343,425,559,451,613,775,659,221,601,315,653,369,450,231,421,611,801,658,335,219,409,543,597,651,311,610,705,419,361,189,569,215,405,595,785,418,647,589,303,357,187,594,241,403,565,345,673,207,397,587,777,355,402,183,563,125,287,233,341,395,557,354,449,583,773,562,657,123,313,175,339,555,229,391,609,771,333,217,541,338,119,649,309,227,770,417,551,331,159,539,213,593,226,307,645,111,301,327,185,211,306,401,535,643,205,585,299,353,210,181,561,642,95,285,203,393,527,581,295,179,121,283,173,337,553,199,389,579,769,178,63,117,171,279,578,225,387,549,329,157,537,115,305,386,167,547,109,271,325,155,114,209,533,546,641,107,297,323,151,531,93,201,525,322,103,293,530,177,91,281,143,523,197,577,291,61,87,169,277,195,290,385,519,59,113,194,275,165,545,79,269,153,274,55,163,105,267,321,149,529,162,47,101,263,147,89,141,521,99,289,146,31,85,139,98,193,517,57,83,273,135,515,77,82,53,514,161,75,265,51,45,71,261,50,145,43,97,259,29,137,258,39,27,81,133,513,23,131,73,49,130,15,69,41,67,257,66,37,25,35,21,34,129,19,13,18,11,65,7,33,17,9,5,3,2,1,4,6,8,10,12,14,16,20,22,24,26,28,30,32,36,38,40,42,44,46,48,52,54,56,58,60,62,64,68,70,72,74,76,78,80,84,86,88,90,92,94,96,100,102,104,106,108,110,112,116,118,120,122,124,126,128,132,134,136,138,140,142,144,148,150,152,154,156,158,160,164,166,168,170,172,174,176,180,182,184,186,188,190,192,196,198,200,202,204,206,208,212,214,216,218,220,222,224,228,230,232,234,236,238,240,244,246,248,250,252,254,256,260,262,264,266,268,270,272,276,278,280,282,284,286,288,292,294,296,298,300,302,304,308,310,312,314,316,318,320,324,326,328,330,332,334,336,340,342,344,346,348,350,352,356,358,360,362,364,366,368,372,374,376,378,380,382,384,388,390,392,394,396,398,400,404,406,408,410,412,414,416,420,422,424,426,428,430,432,436,438,440,442,444,446,448,452,454,456,458,460,462,464,468,470,472,474,476,478,480,484,486,488,490,492,494,496,500,502,504,506,508,510,512,516,518,520,522,524,526,528,532,534,536,538,540,542,544,548,550,552,554,556,558,560,564,566,568,570,572,574,576,580,582,584,586,588,590,592,596,598,600,602,604,606,608,612,614,616,618,620,622,624,628,630,632,634,636,638,640,644,646,648,650,652,654,656,660,662,664,666,668,670,672,676,678,680,682,684,686,688,692,694,696,698,700,702,704,708,710,712,714,716,718,720,724,726,728,730,732, 734,736,740,742,744,746,748,750,752,756,758,760,762,764,766,768,772,774,776,778,780,782,784,788,790,792,794,796,798,800,804,806,808,810,812,814,816,820,822,824,826,828,830,832,836,838,840,842,844,846,848,852,854,856,858,860,862,864,868,870,872,874,876,878,880,884,886,888,890,892,894,896,900,902,904,906,908,910,912,916,918,920,922,924,926,928,932,934,936,938,940,942,944,948,950,952,954,956,958,960,964,966,968,970,972,974,976,980,982,984,986,988,990,992,996,998,1000,1002,1004,1006,1008,1012,1014,1016,1018,1020,1022,1024
M＝600,N＝1024
511,767,765,763,759,751,831,735,863,879,887,509,507,891,893,895,503,703,495,927,938,941,939,943,479,639,882,885,889,923,925,883,935,946,947,949,877,919,951,953,875,447,859,861,871,911,955,957,855,959,761,967,754,757,383,747,749,755,827,829,823,847,970,743,971,733,973,975,978,731,979,727,701,815,719,981,699,983,505,985,987,799,498,501,695,989,255,475,477,487,491,493,499,635,637,687,471,991,994,671,631,995,997,999,1001,1003,1005,445,1007,463,1009,1010,443,623,1011,1013,1015,1017,993,439,1019,1021,1023,977,969,945,965,937,963,881,962,933,921,931,873,917,930,869,753,915,857,909,867,914,745,853,907,866,961,825,906,851,741,903,845,729,850,497,821,739,929,843,725,738,819,381,842,489,813,839,697,723,818,913,379,717,431,811,485,865,722,693,473,607,797,715,810,375,905,483,807,691,253,415,633,714,795,469,685,849,482,711,901,690,367,251,441,575,467,629,683,791,737,899,461,841,669,466,682,247,437,627,817,898,351,679,459,621,783,837,667,626,721,435,377,458,239,429,619,809,455,835,434,663,605,319,713,373,427,834,481,615,805,689,223,413,603,793,426,655,371,709,423,803,365,249,411,573,370,465,599,681,789,707,802,897,363,191,571,245,407,625,706,787,349,677,457,591,781,359,665,243,786,433,567,347,675,237,399,617,779,453,833,242,661,674,127,317,235,778,343,425,559,451,613,775,659,221,601,315,653,369,450,231,421,611,801,658,335,219,409,543,597,651,311,610,705,419,361,189,569,650,215,405,595,785,418,647,589,303,357,187,594,241,403,565,345,673,207,397,587,777,355,402,183,563,125,287,586,233,341,395,557,354,449,583,773,562,657,123,313,394,175,339,555,229,391,609,771,333,217,541,338,554,119,649,309,227,770,417,551,331,159,539,213,593,226,307,645,330,111,301,327,185,211,306,401,535,643,205,585,299,353,210,181,561,642,95,285,203,298,393,527,581,295,179,121,202,283,173,337,553,199,389,579,769,178,63,117,171,279,578,225,387,549,329,157,537,170,115,305,386,167,547,109,271,325,155,114,209,533,546,641,107,297,323,151,531,93,201,525,322,103,293,530,177,91,281,143,523,197,577,291,61,522,87,169,277,195,290,385,519,59,113,194,275,165,545,79,269,153,274,55,163,105,267,321,149,529,162,266,47,101,263,147,89,141,521,99,289,146,31,85,139,98,193,517,57,138,83,273,135,515,77,82,53,514,161,75,265,51,74,45,71,261,50,145,43,97,259,29,42,137,258,39,27,81,133,513,23,131,73,49,130,15,69,41,67,257,66,37,25,35,21,34,129,19,13,18,11,65,10,7,33,17,9,5,3,2,1,4,6,8,12,14,16,20,22,24,26,28,30,32,36,38,40,44,46,48,52,54,56,58,60,62,64,68,70,72,76,78,80,84,86,88,90,92,94,96,100,102,104,106,108,110,112,116,118,120,122,124,126,128,132,134,136,140,142,144,148,150,152,154,156,158,160,164,166,168,172,174,176,180,182,184,186,188,190,192,196,198,200,204,206,208,212,214,216,218,220,222,224,228,230,232,234,236,238,240,244,246,248,250,252,254,256,260,262,264,268,270,272,276,278,280,282,284,286,288,292,294,296,300,302,304,308,310,312,314,316,318,320,324,326,328,332,334,336,340,342,344,346,348,350,352,356,358,360,362,364,366,368,372,374,376,378,380,382,384,388,390,392,396,398,400,404,406,408,410,412,414,416,420,422,424,428,430,432,436,438,440,442,444,446,448,452,454,456,460,462,464,468,470,472,474,476,478,480,484,486,488,490,492,494,496,500,502,504,506,508,510,512,516,518,520,524,526,528,532,534,536,538,540,542,544,548,550,552,556,558,560,564,566,568,570,572,574,576,580,582,584,588,590,592,596,598,600,602,604,606,608,612,614,616,618,620,622,624,628,630,632,634,636,638,640,644,646,648,652,654,656,660,662,664,666,668,670,672,676,678,680,684,686,688,692,694,696,698,700,702,704,708,710,712,716,718,720,724,726,728,730,732,734,736,740,742,744,746,748,750,752,756,758,760,762,764,766,768,772,774,776,780,782,784,788,790,792,794,796,798,800,804,806,808,812,814,816,820,822,824,826,828,830,832,836,838,840,844,846,848,852,854,856,858,860,862,864,868,870,872,874,8 76,878,880,884,886,888,890,892,894,896,900,902,904,908,910,912,916,918,920,922,924,926,928,932,934,936,940,942,944,948,950,952,954,956,958,960,964,966,968,972,974,976,980,982,984,986,988,990,992,996,998,1000,1002,1004,1006,1008,1012,1014,1016,1018,1020,1022,1024
M＝720,N＝1024
767,895,950,951,954,955,957,511,959,943,974,975,982,983,986,987,893,989,890,891,991,998,999,886,887,927,1002,1003,1005,1007,879,1010,1011,1013,1014,1015,1017,1018,1019,1021,1023,863,765,762,763,759,758,751,831,1009,1001,997,735,995,985,994,981,979,509,978,973,506,507,953,971,970,503,502,949,947,967,946,966,703,941,938,495,939,935,934,889,925,885,922,923,883,882,877,479,919,918,874,875,871,870,639,910,861,911,858,859,761,855,854,757,447,755,754,749,846,829,746,847,747,826,827,743,742,823,822,733,730,731,727,726,815,383,505,701,718,501,719,698,699,499,993,498,493,977,799,695,694,490,491,969,945,965,487,486,477,687,963,937,474,475,962,637,255,933,634,635,471,931,470,921,930,881,917,631,630,445,671,462,873,915,463,442,443,914,869,909,867,623,857,439,438,907,866,906,853,851,903,850,902,431,753,845,825,745,381,607,843,842,821,378,379,741,819,739,729,839,375,818,374,813,838,738,415,725,810,811,723,722,717,367,807,697,575,806,715,797,714,693,794,795,253,497,691,711,690,250,251,685,489,710,351,791,790,682,683,246,247,485,483,473,482,633,679,678,782,669,469,239,783,629,467,666,667,627,466,319,626,461,621,441,459,663,662,618,458,619,437,223,435,455,434,615,429,454,614,654,605,655,426,427,602,603,377,423,422,961,599,598,413,373,191,410,411,929,371,370,573,365,590,591,407,406,570,571,362,363,913,567,865,566,359,358,905,398,349,399,849,346,347,901,899,249,127,841,898,737,817,837,721,809,835,713,834,481,805,689,793,709,803,465,681,789,707,802,897,245,625,706,787,677,457,781,665,243,786,433,675,237,617,779,453,833,242,661,674,317,235,778,343,425,559,451,613,775,659,221,601,234,315,342,653,369,450,231,774,421,611,801,658,335,219,314,409,543,597,651,230,311,610,705,419,334,361,218,189,569,650,215,310,405,595,785,418,647,589,303,357,187,214,594,241,403,565,646,345,673,207,397,587,777,186,355,402,183,563,125,206,287,586,233,341,395,557,354,449,583,773,182,562,657,123,313,394,175,339,555,582,229,391,609,771,333,122,217,541,338,554,119,649,309,390,227,770,417,551,331,159,539,118,213,593,226,307,550,645,330,111,301,538,327,185,211,306,401,535,643,205,585,299,326,353,210,534,181,561,642,95,285,203,298,393,527,581,295,179,121,202,283,526,173,337,553,199,294,389,579,769,178,282,63,117,171,198,279,578,225,387,549,329,157,537,170,278,115,305,386,167,547,109,271,325,155,114,209,533,166,546,641,270,107,297,154,323,151,531,93,106,201,525,322,103,293,150,530,177,91,281,143,523,102,197,577,291,90,61,142,522,87,169,277,195,290,385,519,59,86,113,194,275,518,165,545,79,269,58,153,274,55,163,78,105,267,321,54,149,529,162,266,47,101,263,147,89,141,521,262,99,289,146,31,85,139,98,193,517,57,138,83,273,135,515,77,82,53,134,514,161,75,265,51,74,45,71,261,50,145,43,70,97,259,29,42,137,258,39,27,81,38,133,513,26,23,131,73,22,49,130,15,69,14,41,67,257,66,37,25,35,21,34,129,19,13,18,11,65,10,7,6,33,17,9,5,3,2,1,4,8,12,16,20,24,28,30,32,36,40,44,46,48,52,56,60,62,64,68,72,76,80,84,88,92,94,96,100,104,108,110,112,116,120,124,126,128,132,136,140,144,148,152,156,158,160,164,168,172,174,176,180,184,188,190,192,196,200,204,208,212,216,220,222,224,228,232,236,238,240,244,248,252,254,256,260,264,268,272,276,280,284,286,288,292,296,300,302,304,308,312,316,318,320,324,328,332,336,340,344,348,350,352,356,360,364,366,368,372,376,380,382,384,388,392,396,400,404,408,412,414,416,420,424,428,430,432,436,440,444,446,448,452,456,460,464,468,472,476,478,480,484,488,492,494,496,500,504,508,510,512,516,520,524,528,532,536,540,542,544,548,552,556,558,560,564,568,572,574,576,580,584,588,592,596,600,604,606,608,612,616,620,622,624,628,632,636,638,640,644,648,652,656,660,664,668,670,672,676,680,684,686,688,692,696,700,702,704,708,712,716,720,724,728,732,734,736,740,744,748,750,752,756,760,764,766,768,772,776,780,784,788,792,796,798,800,804,808,812,814,816,820,824,828,830,832,836,840,844,848,852,856,860,862,864,868,872,876,878,880,884,888,892,894,896,900,904,908,912,916,920,924,926,928,932,936,940,942,944,948,952,956,958,960,964,968,972,976,980,984,988,990,992,996,1000,1004,1006,1008,1012,1016,1020,1022,10 24
M＝768,N＝1024
894,895,958,767,959,766,990,991,999,989,987,998,1002,1003,986,1005,1006,983,1007,982,1010,1011,1013,1014,1015,975,957,1017,955,1018,974,1019,954,1021,951,1022,1023,511,950,510,943,942,893,891,890,927,887,926,886,879,878,863,765,763,862,762,759,758,1009,751,1001,750,997,831,995,985,830,994,981,979,735,978,973,971,734,953,509,970,949,507,947,967,506,946,503,966,941,939,502,938,935,703,889,495,702,925,934,923,494,885,883,922,882,919,877,875,918,874,479,871,478,911,861,870,859,639,910,858,761,638,855,757,755,854,754,447,749,747,829,847,827,446,746,846,826,743,823,733,742,731,822,730,993,727,815,505,726,977,814,383,501,499,969,701,382,699,719,498,945,493,718,698,965,491,963,695,799,937,490,694,798,962,487,933,931,477,486,921,475,687,881,930,474,686,917,637,915,873,471,255,635,634,254,470,869,914,867,909,631,907,671,857,445,630,443,463,866,670,853,906,442,462,851,623,903,439,753,850,438,622,845,902,843,825,745,431,821,741,842,819,739,839,430,729,607,381,379,818,738,606,813,838,725,378,811,723,375,810,722,415,374,717,807,697,715,414,497,797,367,806,693,575,795,714,691,366,711,489,574,794,690,685,791,710,485,253,683,483,251,473,790,250,351,682,482,247,633,679,469,350,467,246,629,783,669,678,627,667,466,782,461,239,441,459,626,666,621,961,663,619,238,437,458,319,435,929,662,618,318,455,615,434,429,454,427,223,605,655,614,913,603,222,426,865,654,377,602,905,423,599,373,413,422,371,411,598,849,901,899,370,410,365,191,573,841,407,363,571,190,591,406,362,570,590,898,359,567,817,837,737,835,349,399,358,566,347,809,249,398,346,721,245,559,343,834,127,243,805,803,558,713,126,342,242,793,237,689,235,709,802,317,707,789,315,335,787,234,681,231,706,314,334,543,677,786,481,311,221,465,897,625,457,781,665,433,675,617,779,453,833,661,674,778,425,451,613,775,659,601,653,369,450,774,421,611,801,658,219,409,597,651,230,610,705,419,361,218,542,189,569,650,215,310,405,595,785,418,647,589,303,357,187,214,594,241,403,565,646,345,673,207,302,397,587,777,186,355,402,183,563,125,206,287,586,233,341,395,557,354,449,583,773,182,562,657,286,123,313,394,175,339,555,582,229,391,609,771,333,122,217,541,174,338,554,119,649,309,390,227,770,417,551,331,159,539,118,213,593,226,307,550,645,330,111,301,158,538,327,185,211,306,401,535,643,110,205,585,299,326,353,210,534,181,561,642,95,285,203,298,393,527,581,295,179,94,121,202,283,526,173,337,553,199,294,389,579,769,178,282,63,117,171,198,279,578,225,387,549,329,62,157,537,170,278,115,305,386,167,547,109,271,325,155,114,209,533,166,546,641,270,107,297,154,323,151,531,93,106,201,525,322,103,293,150,530,177,91,281,143,523,102,197,577,291,90,61,142,522,87,169,277,195,290,385,519,59,86,113,194,275,518,165,545,79,269,58,153,274,55,163,78,105,267,321,54,149,529,162,266,47,101,263,147,89,46,141,521,262,99,289,146,31,85,139,98,193,517,30,57,138,83,273,135,515,77,82,53,134,514,161,75,265,51,74,45,71,261,50,145,43,70,97,259,29,42,137,258,39,27,81,38,133,513,26,23,131,73,22,49,130,15,69,14,41,67,257,66,37,25,35,21,34,129,19,13,18,11,65,10,7,6,33,17,9,5,3,2,1,4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,100,104,108,112,116,120,124,128,132,136,140,144,148,152,156,160,164,168,172,176,180,184,188,192,196,200,204,208,212,216,220,224,228,232,236,240,244,248,252,256,260,264,268,272,276,280,284,288,292,296,300,304,308,312,316,320,324,328,332,336,340,344,348,352,356,360,364,368,372,376,380,384,388,392,396,400,404,408,412,416,420,424,428,432,436,440,444,448,452,456,460,464,468,472,476,480,484,488,492,496,500,504,508,512,516,520,524,528,532,536,540,544,548,552,556,560,564,568,572,576,580,584,588,592,596,600,604,608,612,616,620,624,628,632,636,640,644,648,652,656,660,664,668,672,676,680,684,688,692,696,700,704,708,712,716,720,724,728,732,736,740,744,748,752,756,760,764,768,772,776,780,784,788,792,796,800,804,808,812,816,820,824,828,832,836,840,844,848,852,856,860,864,868,872,876,880,884,888,892,896,900,904,908,912,916,920,924,928,932,936,940,944,948,952,956,960,964,968,972,976,980,984,988,992,996,1000,1004,1008,1012,1016,1020,1024
M＝960,N＝1024
1022,1020,1023,1016,1021,1019,1018,1015,1014,1007,1012,1006,1004,991,990,1000,988,959,984,958,956,1017,1013,952,1011,895,1005,1010,894,1003,1002,892,999,989,998,987,888,986,767,996,983,766,982,957,975,955,764,980,974,954,951,972,950,760,511,943,893,948,510,942,891,1009,968,1001,890,508,940,887,927,997,886,926,985,879,995,936,504,765,981,884,878,924,994,763,979,973,876,953,762,863,978,920,759,971,949,862,758,970,872,751,947,941,967,860,509,756,750,946,831,966,939,889,507,830,856,938,748,735,885,506,925,964,935,503,734,828,883,923,877,934,744,502,882,495,922,732,875,919,932,824,703,500,494,761,993,874,861,918,871,702,911,728,757,977,859,492,479,870,916,910,755,700,969,858,749,478,639,855,868,754,945,829,488,747,908,965,854,638,696,476,847,827,746,447,937,733,505,963,743,846,852,826,904,636,446,731,933,501,823,742,472,962,921,881,844,730,822,499,931,815,444,727,740,493,632,701,873,917,383,498,814,820,930,726,491,719,840,699,869,915,382,440,909,490,718,799,724,812,698,857,477,914,487,867,695,907,380,798,753,475,853,716,486,637,694,866,687,255,808,906,474,745,851,796,635,903,845,471,686,692,484,825,376,254,445,712,741,850,634,902,470,843,463,821,671,631,443,684,729,792,739,252,842,630,462,468,442,819,670,623,900,725,813,839,439,738,961,680,497,818,622,628,723,460,381,668,438,811,838,248,431,717,697,489,929,722,607,810,379,620,797,430,436,715,693,836,807,456,664,485,378,606,714,795,913,691,375,415,806,473,428,616,685,711,483,794,374,604,865,690,414,367,575,253,633,469,905,683,710,791,804,482,424,366,372,574,251,629,467,682,790,849,412,783,669,461,600,901,441,708,679,250,466,627,351,364,667,621,572,782,459,841,788,247,678,437,899,408,626,350,666,619,458,246,737,817,435,239,837,663,429,676,360,780,455,568,898,618,348,434,605,238,319,662,244,809,377,721,615,427,655,454,835,603,318,373,614,426,776,713,223,654,660,805,236,413,344,452,834,423,602,793,371,689,222,599,411,365,612,316,803,422,573,709,652,370,232,598,789,410,481,591,681,363,571,802,220,707,191,407,420,249,312,362,590,596,787,570,648,349,677,406,465,781,359,399,190,706,245,567,216,665,625,347,786,358,588,675,398,566,457,404,243,779,559,237,188,346,617,661,127,242,343,433,674,356,558,453,564,317,778,235,396,584,613,659,126,342,775,425,184,335,653,315,234,543,451,221,601,556,231,658,611,774,334,340,897,314,392,421,124,219,542,651,311,230,450,597,610,409,369,552,218,650,332,419,310,772,303,595,215,540,228,120,647,589,189,361,405,569,833,418,302,308,214,594,207,646,328,187,587,357,403,565,536,397,206,287,212,300,186,345,801,586,402,355,563,183,644,395,286,557,583,241,341,204,182,125,354,705,562,175,296,785,394,555,582,233,339,284,123,391,333,174,313,180,200,554,122,338,541,229,673,580,777,390,551,331,119,159,309,172,280,217,539,227,550,657,330,118,773,307,158,111,388,213,301,327,168,538,226,116,110,306,535,548,156,609,449,211,299,326,649,205,771,185,534,210,95,298,527,108,593,417,285,152,181,203,94,295,324,645,532,770,526,202,283,294,179,104,585,173,199,401,643,92,282,178,63,561,524,121,171,198,353,279,62,292,581,393,88,170,278,642,117,157,271,196,167,553,579,337,389,520,115,60,155,276,270,109,166,549,329,578,114,387,154,537,107,225,305,547,151,164,268,325,56,386,106,533,93,297,150,546,209,103,143,323,531,91,769,641,201,525,322,293,530,177,281,523,102,197,264,577,291,148,90,61,142,522,87,169,277,100,195,290,385,519,59,86,140,113,194,275,518,165,545,79,269,58,153,84,274,55,136,516,163,78,105,267,321,54,149,529,162,76,266,47,101,263,52,147,89,46,141,521,72,262,99,289,146,31,44,85,139,98,193,260,517,30,57,138,83,273,40,135,515,77,28,82,53,134,514,161,75,265,24,51,132,74,45,71,261,50,145,43,70,97,259,29,42,137,68,258,39,27,81,38,133,513,26,23,36,131,73,22,49,130,15,69,20,14,41,67,257,12,66,37,25,8,35,21,34,129,19,13,18,11,65,10,7,6,33,4,17,9,5,3,2,1,16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336,352,368,384,400,416,432,448,464,480,496,512,528,544,560,576,592,608,624,640,656,672,688,704,720,736,752,768,784,800,816,832,848,864,880,896,912,928,944,960,976,992,1008,1024
M＝1200,N＝2048
1023,1021,1019,1015,1007,1471,1407,1503,991,1519,1527,1531,1533,1535,959,1529,1522,1525,1279,1517,1523,1515,1663,895,1499,1501,1511,1659,1661,1495,1695,1711,1655,1719,1723,1725,1467,1469,1487,1647,1463,1727,1743,1751,1755,1757,1759,1017,1767,1010,10 11,1013,1455,767,1631,1005,1771,1405,1773,1775,1778,1003,1779,1403,1781,1783,1785,1787,1789,987,989,999,1391,983,1399,1439,1599,1791,1823,955,957,975,1375,1839,951,1777,1277,1847,1849,1851,1769,1275,1853,1842,1845,1855,511,1762,893,943,1263,1271,1738,1746,1747,1749,1753,1763,891,1343,1765,1834,1835,1837,1741,1843,1863,1831,1866,1867,1721,927,1869,887,1821,1739,1871,1874,1714,1875,1717,1877,1819,1879,1881,1883,1706,1885,1715,1247,1887,1735,1890,1891,879,1893,1709,1895,1815,1897,1521,1899,1901,1903,1707,1905,1906,1907,1513,1909,1911,1913,1915,1917,1919,1506,1509,1927,1703,1657,1930,1931,1497,1693,1933,1507,1807,863,1935,1650,1653,1938,1939,1490,1493,1691,765,1941,1943,1945,1651,1215,763,1482,1491,1947,1949,2047,2045,2043,2039,2031,2015,2041,1983,2037,2035,2029,2034,2027,2013,2023,2011,1981,2007,1979,2033,1999,1975,2025,1967,2021,2009,2019,1951,2005,2018,1977,2003,1997,2002,1973,1995,1971,1994,1965,1991,1970,1963,2017,1962,1959,2001,1993,1969,1989,1961,1987,1986,1957,1955,1954,1985,1953,1937,1889,1929,1009,1873,1925,1465,1001,1761,1923,1485,1865,1461,1841,1922,997,1483,1645,1861,985,1745,1459,1401,995,1453,1643,1833,1479,1859,1458,1687,981,1629,994,1737,1397,1451,1858,1505,1639,1829,953,1713,979,1437,1627,1817,1450,1679,1395,973,1733,1447,1827,1389,978,759,949,1273,1435,1597,1394,1489,1623,1705,1813,971,1731,1826,1921,1387,947,509,1595,889,1269,970,1431,1649,751,1730,1811,941,1373,1701,967,1481,1615,1805,946,1383,1689,507,831,1267,1810,1457,1591,885,939,1371,1699,993,1261,1423,1641,1803,1477,1857,735,1266,925,1685,938,503,1698,883,1151,1341,935,1259,1802,1367,1449,1583,877,1475,1637,1799,761,923,1683,882,977,1245,1625,1339,1677,1393,495,1474,875,1255,1445,1635,1825,703,1682,1359,757,919,1243,1433,1567,861,1621,1675,1335,969,1634,1729,1443,871,1385,755,945,1213,479,1593,1674,859,1239,1429,1619,749,1809,911,1442,1671,965,1613,754,1327,1381,1211,505,639,1618,829,1265,1427,1589,747,855,937,1369,1697,963,1231,1421,1611,1801,1379,733,447,1426,827,1207,501,1587,881,1149,962,1311,743,1610,933,1257,1365,1419,1581,847,1378,1473,1607,1797,731,921,1586,1681,499,823,1147,1337,1418,931,1199,1363,493,1579,873,1253,1415,1633,1795,701,1357,498,727,917,1241,1565,930,383,1362,1578,1143,1673,1333,491,815,1251,1794,1441,1575,869,699,1355,753,915,1183,477,1563,857,1237,1617,719,1250,1331,909,1669,487,1354,867,1135,1325,914,695,1351,1209,475,637,799,1235,1330,1425,1559,745,853,907,1667,866,961,1229,1609,1323,1377,255,1234,445,635,825,1205,906,471,1585,687,1666,851,1119,1309,741,903,1227,1322,1417,1551,845,1605,1319,729,443,1203,850,497,631,821,1145,1226,1307,739,929,1197,1361,463,1577,843,1223,1413,1603,1793,671,1202,725,439,738,819,1087,381,1141,1195,842,1303,489,623,1602,813,1249,1411,1573,839,697,1353,723,818,913,1181,1561,1194,379,1139,717,1329,431,1410,811,1191,485,1571,865,1133,722,1295,693,1349,1179,473,607,1138,797,1233,1557,715,810,375,905,1570,1665,483,807,1131,1321,691,1347,253,415,633,714,795,1175,469,1555,685,849,1117,482,711,901,1225,1549,690,367,1346,1127,1317,251,441,575,1554,1201,467,629,683,791,1115,1305,737,899,1167,461,1547,841,1221,1601,1315,669,466,682,247,437,627,817,1085,898,351,679,1546,1111,1193,1301,459,621,783,1219,1314,1409,1543,837,667,626,721,435,1083,377,458,1137,239,1218,1299,429,619,809,1189,455,1569,835,1103,1293,434,663,1177,605,319,1298,1079,713,373,427,1187,834,481,615,805,1129,1291,689,1345,223,413,603,793,1173,426,1553,655,1186,371,709,423,1290,803,1071,365,1125,1287,249,411,573,1171,370,465,599,681,789,1113,707,802,897,1165,1545,363,1123,1313,191,1170,571,245,407,625,706,787,1055,349,677,1109,1163,457,591,1122,781,1217,1541,359,665,243,786,433,567,1081,1162,347,675,1107,237,1297,399,617,779,1159,453,1539,833,1101,242,661,674,127,1106,317,1077,235,778,343,425,559,1538,1185,451,613,775,1099,1289,659,221,601,315,1075,653,369,450,231,1098,421,611,801,1069,658,335,1095,1285,219,409,543,1074,1169,597,651,311,610,705,419,1067,361,1121,1283,189,569,650,215,405,595,785,1053,418,647,1066,1161,589,303,1282,1063,357,187,594,241,403,565,1051,345,673,1105,207,397,587,777,1157,1537,355,402,183,563,125,287,586,1047,233,341,395,557,1155,354,449,583,773,1097,562,657,123,313,394,1073,175,1154,339,555,229,391,609,771,1039,333,1093,217,541,338,554,119,649,309,227,770,417,551,1065,331,1091,1281,159,539,213,593,226,307,645,330,111,1090,301,1061,327,185,211,306,401,535,1049,643,205,585,299,1059,353,210,181,561,642,95,285,1045,203,298,393,527,1058,1153,581,295,179,121,202,283,1043,1 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M＝1440,N＝2048
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4,1808,1812,1816,1820,1822,1824,1828,1832,1836,1838,1840,1844,1848,1852,1854,1856,1860,1864,1868,1872,1876,1880,1884,1886,1888,1892,1896,1900,1902,1904,1908,1912,1916,1918,1920,1924,1928,1932,1936,1940,1944,1948,1950,1952,1956,1960,1964,1966,1968,1972,1976,1980,1982,1984,1988,1992,1996,2000,2004,2008,2012,2014,2016,2020,2024,2028,2030,2032,2036,2040,2044,2046,2048
M＝2400,N＝4096
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038,3040,3044,3046,3048,3050,3052,3054,3056,3060,3062,3064,3066,3068,3070,3072,3076,3078,3080,3084,3086,3088,3092,3094,3096,3098,3100,3102,3104,3108,3110,3112,3116,3118,3120,3124,3126,3128,3130,3132,3134,3136,3140,3142,3144,3148,3150,3152,3156,3158,3160,3162,3164,3166,3168,3172,3174,3176,3178,3180,3182,3184,3188,3190,3192,3194,3196,3198,3200,3204,3206,3208,3212,3214,3216,3220,3222,3224,3226,3228,3230,3232,3236,3238,3240,3244,3246,3248,3252,3254,3256,3258,3260,3262,3264,3268,3270,3272,3276,3278,3280,3284,3286,3288,3290,3292,3294,3296,3300,3302,3304,3306,3308,3310,3312,3316,3318,3320,3322,3324,3326,3328,3332,3334,3336,3340,3342,3344,3348,3350,3352,3354,3356,3358,3360,3364,3366,3368,3372,3374,3376,3380,3382,3384,3386,3388,3390,3392,3396,3398,3400,3404,3406,3408,3412,3414,3416,3418,3420,3422,3424,3428,3430,3432,3434,3436,3438,3440,3444,3446,3448,3450,3452,3454,3456,3460,3462,3464,3468,3470,3472,3476,3478,3480,3482,3484,3486,3488,3492,3494,3496,3500,3502,3504,3508,3510,3512,3514,3516,3518,3520,3524,3526,3528,3532,3534,3536,3540,3542,3544,3546,3548,3550,3552,3556,3558,3560,3562,3564,3566,3568,3572,3574,3576,3578,3580,3582,3584,3588,3590,3592,3596,3598,3600,3604,3606,3608,3610,3612,3614,3616,3620,3622,3624,3628,3630,3632,3636,3638,3640,3642,3644,3646,3648,3652,3654,3656,3660,3662,3664,3668,3670,3672,3674,3676,3678,3680,3684,3686,3688,3690,3692,3694,3696,3700,3702,3704,3706,3708,3710,3712,3716,3718,3720,3724,3726,3728,3732,3734,3736,3738,3740,3742,3744,3748,3750,3752,3756,3758,3760,3764,3766,3768,3770,3772,3774,3776,3780,3782,3784,3788,3790,3792,3796,3798,3800,3802,3804,3806,3808,3812,3814,3816,3818,3820,3822,3824,3828,3830,3832,3834,3836,3838,3840,3844,3846,3848,3852,3854,3856,3860,3862,3864,3866,3868,3870,3872,3876,3878,3880,3884,3886,3888,3892,3894,3896,3898,3900,3902,3904,3908,3910,3912,3916,3918,3920,3924,3926,3928,3930,3932,3934,3936,3940,3942,3944,3946,3948,3950,3952,3956,3958,3960,3962,3964,3966,3968,3972,3974,3976,3980,3982,3984,3988,3990,3992,3994,3996,3998,4000,4004,4006,4008,4012,4014,4016,4020,4022,4024,4026,4028,4030,4032,4036,4038,4040,4044,4046,4048,4052,4054,4056,4058,4060,4062,4064,4068,4070,4072,4074,4076,4078,4080,4084,4086,4088,4090,4092,4094,4096。

Claims (24)

1.一种编码方法，其特征在于，包括：
确定N个待编码比特，N为正整数；
获取包含N个极化信道序号的第一序列；
根据所述第一序列确定所述N个待编码比特中信息比特的位置；
对所述N个待编码比特进行Polar编码以得到编码比特。
2.如权利要求1所述的方法，其特征在于，所述确定N个待编码比特包括：
根据M确定N,其中，N＝M，所述M为Polar码输出的目标码长，所述M等于2的正整数次幂，M为正整数。
3.如权利要求2所述的方法，其特征在于，所述获取包含N个极化信道序号的第一序列包括：
从附录表1中序列或表1中序列的等同替换序列得到包含N个极化信道序列的第一序列。
4.如权利要求1所述的方法，其特征在于，所述确定N个待编码比特包括：
根据M确定N,其中，符号表示向下取整，所述M为Polar码输出的目标码长，所述M不等于2的正整数次幂，M为正整数。
5.如权利要求4所述的方法，其特征在于，所述N个待编码比特对应码长为N的母码，
所述获取包含N个极化信道序号的第一序列包括：
根据通信***支持的最大母码码长Nmax对应的最大第一序列Smax确定所述母码码长N所对应的第一序列，其中，所述母码码长N所对应的第一序列为所述包含N个极化信道序号的第一序列。
6.如权利要求5所述的方法，其特征在于，所述最大第一序列Smax为附录表1中序列或表1中序列的等同替换序列之一，所述N个待编码比特对应N个编码比特；
所述获取包含N个极化信道序号的第一序列包括：
确定所述N个编码比特中要删除的N-M个比特的位置；
依次读取所述最大第一序列Smax中极化信道序号，并且将所述最大第一序列Smax中不在所述N-M个比特的位置且不大于N的极化信道序号依次读出；
当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为所述母码码长N所对应的所述第一序列。
7.如权利要求4所述的方法，其特征在于，所述N个待编码比特对应码长为N的母码，
所述获取包含N个极化信道序号的第一序列包括：
根据在无需进行速率匹配时所述母码码长N所对应的第四序列，确定在需要进行速率匹配时所述母码码长N所对应的第一序列，其中，所述母码码长N所对应的第一序列为所述包含N个极化信道序号的第一序列。
8.如权利要求7所述的方法，其特征在于，所述第四序列为附录中表1中序列或表1中序列的等同替换序列之一，所述N个待编码比特对应N个编码比特；
所述根据母码码长N在无需进行速率匹配时所对应的第四序列，确定所述母码码长N所对应的第一序列包括：
确定所述N个编码比特中要删除的N-M个比特的位置；
依次读取第四序列中极化信道序号，并且将第四序列中不在所述N-M个比特的位置的极化信道序号依次读出；
当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为所述母码码长N在需要进行速率匹配时所对应的第一序列。
9.如权利要求4所述的方法，其特征在于，所述获取包含N个极化信道序号的第一序列包括：
从附录中表2、表3或表4中序列或者所述表2、表3或表4中序列的等同替换序列得到包含N个极化信道序列的第一序列。
10.如权利要求1、2或4所述的方法，其特征在于，所述获取包含N个极化信道序号的第一序列包括：
根据N个第二序列S1，S2，…,SN确定第一序列S′N，第二序列Si包含i个极化信道序号，1≤i≤N，i为正整数。
11.如权利要求10所述的方法，其特征在于，所述根据N个第二序列S1，S2，…,SN确定第一序列S′N包括：
确定N个第二序列S1，S2，…,SN；
初始化第一序列S′1＝S1；
设置j从2遍历到N，基于如下公式计算得到第一序列S′N：
S′j＝S′j-1+(S′j-1\Sj)
其中，2≤j≤N，j为正整数，“\”表示计算两个序列的差集，“+”表示将前后两个序列进行连接以形成一个序列。
12.一种编码装置，其特征在于，包括：
确定模块，用于确定N个待编码比特，N为正整数；
获取模块，用于获取包含N个极化信道序号的第一序列；
所述确定模块，还用于根据所述第一序列确定所述N个待编码比特中信息比特的位置；
所述编码模块，用于对所述N个待编码比特进行Polar编码以得到编码比特。
13.如权利要求12所述的装置，其特征在于，所述确定模块具体用于：
根据M确定N,其中，N＝M，所述M为Polar码输出的目标码长，所述M等于2的正整数次幂，M为正整数。
14.如权利要求13所述的装置，其特征在于，所述获取模块具体用于：
从附录表1中序列或表1中序列的等同替换序列得到包含N个极化信道序列的第一序列。
15.如权利要求12所述的装置，其特征在于，所述确定模块具体用于：
根据M确定N,其中，符号表示向下取整，所述M为Polar码输出的目标码长，所述M不等于2的正整数次幂，M为正整数。
16.如权利要求15所述的装置，其特征在于，所述N个待编码比特对应码长为N的母码，
所述获取模块具体用于：
根据通信***支持的最大母码码长Nmax对应的最大第一序列Smax确定所述母码码长N所对应的第一序列，其中，所述母码码长N所对应的第一序列为所述包含N个极化信道序号的第一序列。
17.如权利要求16所述的装置，其特征在于，所述最大第一序列Smax为附录表1中序列或表1中序列的等同替换序列之一，所述N个待编码比特对应N个编码比特；
所述获取模块具体用于：
确定所述N个编码比特中要删除的N-M个比特的位置；
依次读取所述最大第一序列Smax中极化信道序号，并且将所述最大第一序列Smax中不在所述N-M个比特的位置且不大于N的极化信道序号依次读出；
当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为所述母码码长N所对应的所述第一序列。
18.如权利要求15所述的装置，其特征在于，所述N个待编码比特对应码长为N的母码，
所述获取模块具体用于：
根据在无需进行速率匹配时所述母码码长N所对应的第四序列，确定在需要进行速率匹配时所述母码码长N所对应的第一序列，其中，所述母码码长N所对应的第一序列为所述包含N个极化信道序号的第一序列。
19.如权利要求18所述的装置，其特征在于，所述第四序列为附录中表1中序列或表1中序列的等同替换序列之一，所述N个待编码比特对应N个编码比特；
所述获取模块具体用于：
确定所述N个编码比特中要删除的N-M个比特的位置；
依次读取第四序列中极化信道序号，并且将第四序列中不在所述N-M个比特的位置的极化信道序号依次读出；
当读出的极化信道序号的数量达到N时，确定已经读出的N个极化信道序号所组成的序列为所述母码码长N在需要进行速率匹配时所对应的第一序列。
20.如权利要求15所述的装置，其特征在于，所述获取模块具体用于：
从附录中表2、表3或表4中序列或者所述表2、表3或表4中序列的等同替换序列得到包含N个极化信道序列的第一序列。
21.如权利要求12、13或15所述的装置，其特征在于，所述获取模块具体用于：
根据N个第二序列S1，S2，…,SN确定第一序列S′N，第二序列Si包含i个极化信道序号，1≤i≤N，i为正整数。
22.如权利要求21所述的装置，其特征在于，所述获取模块具体用于：
确定N个第二序列S1，S2，…,SN；
初始化第一序列S′1＝S1；
设置j从2遍历到N，基于如下公式计算得到第一序列S′N：
S′j＝S′j-1+(S′j-1\Sj)
其中，2≤j≤N，j为正整数，“\”表示计算两个序列的差集，“+”表示将前后两个序列进行连接以形成一个序列。
23.一种通信装置，其特征在于，包括：
存储器，用于存储程序；
处理器，用于执行所述存储器存储的所述程序，当所述程序被执行时，所述处理器用于执行如权利要求1-11中任一所述的步骤。
24.一种计算机可读存储介质，包括指令，当其在计算机上运行时，使得计算机执行如权利要求1-11任意一项所述的方法。
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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108964910A (zh) * 2018-09-17 2018-12-07 中国人民解放军战略支援部队信息工程大学 网络时间同步报文安全传输方法及装置
CN109450457A (zh) * 2018-08-09 2019-03-08 山东科技大学 一种码长自由的极化码编码方法
CN111865487A (zh) * 2019-04-29 2020-10-30 华为技术有限公司 一种编码方法及通信设备
CN113395071A (zh) * 2021-08-17 2021-09-14 北京理工大学 极化码打孔方法、装置、电子设备及存储介质
WO2022089293A1 (zh) * 2020-10-26 2022-05-05 华为技术有限公司 编码方法以及装置

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US11159179B2 (en) * 2017-07-26 2021-10-26 Telefonaktiebolaget Lm Ericsson (Publ) Enhanced information sequences for polar codes
CN111183589A (zh) * 2017-09-29 2020-05-19 中兴通讯股份有限公司 极化码编码的方法和***

Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1571413A (zh) * 2003-07-17 2005-01-26 深圳市中兴通讯股份有限公司 一种用于基带信道nrz码流转换单极性码流的方法和编码器
CN1642155A (zh) * 2004-01-14 2005-07-20 叶建国 一种数字信号编码调制装置及编码调制方法
CN103023618A (zh) * 2013-01-11 2013-04-03 北京邮电大学 一种任意码长的极化编码方法
CN103368583A (zh) * 2012-04-11 2013-10-23 华为技术有限公司 极性码的译码方法和译码装置
CN103684477A (zh) * 2012-09-24 2014-03-26 华为技术有限公司 混合极性码的生成方法和生成装置
US20150103947A1 (en) * 2012-06-29 2015-04-16 Huawei Technologies Co., Ltd. Encoding method and device
US20160013810A1 (en) * 2014-07-10 2016-01-14 The Royal Institution For The Advancement Of Learning / Mcgill University Flexible polar encoders and decoders
CN105900365A (zh) * 2014-03-31 2016-08-24 华为技术有限公司 极化码的混合自动重传方法及装置、无线通信装置

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102164025B (zh) * 2011-04-15 2013-06-05 北京邮电大学 基于重复编码和信道极化的编码器及其编译码方法
US8995834B2 (en) * 2011-12-22 2015-03-31 Alcatel Lucent Blind equalization for polarization-switched QPSK optical communications
CN109361402B (zh) 2013-05-31 2019-09-20 华为技术有限公司 编码方法及编码设备
US10461779B2 (en) * 2015-08-12 2019-10-29 Telefonaktiebolaget Lm Ericsson (Publ) Rate-compatible polar codes

Patent Citations (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1571413A (zh) * 2003-07-17 2005-01-26 深圳市中兴通讯股份有限公司 一种用于基带信道nrz码流转换单极性码流的方法和编码器
CN1642155A (zh) * 2004-01-14 2005-07-20 叶建国 一种数字信号编码调制装置及编码调制方法
CN103368583A (zh) * 2012-04-11 2013-10-23 华为技术有限公司 极性码的译码方法和译码装置
US20150103947A1 (en) * 2012-06-29 2015-04-16 Huawei Technologies Co., Ltd. Encoding method and device
CN103684477A (zh) * 2012-09-24 2014-03-26 华为技术有限公司 混合极性码的生成方法和生成装置
CN103023618A (zh) * 2013-01-11 2013-04-03 北京邮电大学 一种任意码长的极化编码方法
CN105900365A (zh) * 2014-03-31 2016-08-24 华为技术有限公司 极化码的混合自动重传方法及装置、无线通信装置
US20160013810A1 (en) * 2014-07-10 2016-01-14 The Royal Institution For The Advancement Of Learning / Mcgill University Flexible polar encoders and decoders

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
HAO YE等: "Concatenations of systematic polar codes with inner repeat accumulate codes", 《 2016 25TH WIRELESS AND OPTICAL COMMUNICATION CONFERENCE (WOCC)》 *
MEDIATEK INC.: "Examination of NR Coding Candidates for Low-Rate Applications", 《3GPP TSG RAN WG1 MEETING #86 R1-167871》 *
唐嘉麒: "信道极化与Polar 码构造", 《重庆电力高等专科学校学》 *

Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109450457A (zh) * 2018-08-09 2019-03-08 山东科技大学 一种码长自由的极化码编码方法
CN109450457B (zh) * 2018-08-09 2022-05-24 山东科技大学 一种码长自由的极化码编码方法
CN108964910A (zh) * 2018-09-17 2018-12-07 中国人民解放军战略支援部队信息工程大学 网络时间同步报文安全传输方法及装置
CN108964910B (zh) * 2018-09-17 2021-09-17 中国人民解放军战略支援部队信息工程大学 网络时间同步报文安全传输方法及装置
CN111865487A (zh) * 2019-04-29 2020-10-30 华为技术有限公司 一种编码方法及通信设备
US11764812B2 (en) 2019-04-29 2023-09-19 Huawei Technologies Co., Ltd. Encoding method and communications device
WO2022089293A1 (zh) * 2020-10-26 2022-05-05 华为技术有限公司 编码方法以及装置
CN113395071A (zh) * 2021-08-17 2021-09-14 北京理工大学 极化码打孔方法、装置、电子设备及存储介质

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