CN113922824A - 一种Polar码编解码方法及装置 - Google Patents
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Abstract
本申请公开了一种用于无线通信中的极化编码的方法、装置和介质,能够满足大数据量的传输,提高系统的吞吐量。该方法包括:获取用于K个待编码比特,获取母码长度N和第一序列,所述第一序列中包含N个极化子信道的序号,所述N个极化子信道的序号在所述第一序列中是按照所述N个极化子信道的可靠度进行排列的,N=2n,K≤N,K、n和N为正整数;根据所述第一序列确定用于放置所述K个待编码比特的K个极化子信道并对所述K个待编码比特进行极化编码,得到编码后的序列并输出。
Description
技术领域
本申请实施例涉及通信技术领域,尤其涉及一种Polar码编码方法及装置。
背景技术
信道编码作为最基本的无线接入技术,在保证数据的可靠性传输方面起到至关重要的作用。在现有的无线通信系统中,一般采用Turbo码、低密度奇偶校验码(low densityparity check,LDPC)和极化(Polar)码进行信道编码。Turbo码不能够支持过低或过高码率的信息传输。而对于中短包传输,Turbo码和LDPC码也由于自身编译码的特点,在有限码长下很难达到理想的性能。在实现方面,Turbo码和LDPC码在编译码实现过程中具有较高的计算复杂度。Polar码是理论上证明可以取得香农容量,且具有相对简单的编译码复杂度的好码,因而得到了越来越广泛的应用。
在第五代(5th generation,5G)通信系统中,将Polar码确定为控制信道的编码方式。由于控制信道包括的数据量一般不大,因此编码块都不大,在3GPP标准中,仅规定了母码长度为Nmax=1024的可靠度排序序列,用于对1024个子信道的可靠度进行排序从而用于选择信息比特的位置,对于母码长度N小于1024的其他情形,可以采用Nmax=1024的可靠度排序序列的子序列作为相应的可靠度排序序列。采用这种序列嵌套的特点可以简化系统设计。
但在数据信道编码中,很多情况下需采用长码块进行编码,这时候仍然采用Nmax=1024的可靠度排序序列就显得不够用了。因此如何设计更长的可靠度排序序列以便适应数据信道的要求就成为一个需要解决的问题。
发明内容
本申请实施例提供一种应用于无线通信的Polar码编码的编码方法及装置,可以支持大数据块的Polar码编码,同时后向兼容现有NR系统支持的可靠度排序序列,最大限度的复用了现有技术。
本申请实施例提供的具体技术方案如下:
第一方面,提供一种Polar码编码方法,包括:
编码装置获取K个待编码比特、母码长度N和第一序列,所述第一序列中包含N个极化子信道的序号,所述N个极化子信道的序号在所述第一序列中是按照所述N个极化子信道的可靠度进行排列的,N=2n,K≤N,N大于或等于32,K、n和N为正整数;
根据所述第一序列确定用于放置所述K个待编码比特的K个极化子信道并进行极化编码,得到编码后的比特序列;
对所述编码后的序列进行速率匹配,得到速率匹配后的序列;以及
输出所述速率匹配后的序列;
其中所述第一序列为附录中长度为N的任一个Q序列。
这种设计切合了大数据块的特点,而且可以后向兼容现有NR系统支持的可靠度排序序列,减小了实现难度。
在一个可能的设计中,所述第一序列为第二序列的子序列,所述第二序列中包含Nmax个极化子信道的序号,所述Nmax个极化子信道的序号在所述第二序列中是按照所述Nmax个极化子信道的可靠度进行排列的,N小于或等于Nmax,其中nmax为正整数,n小于或等于nmax,所述第二序列为附录中的任一个长度为Nmax的Q序列
在一个可能的设计中,所述K个待编码比特中,包括循环冗余校验比特。
在一个可能的设计中,所述K个待编码比特中,包括奇偶校验比特。
在一个可能的设计中,所述Polar编码方法由网络设备或终端执行。
在一个可能的设计中,所述根据所述第一序列确定用于放置所述K个待编码比特的K个极化子信道为:当M小于或等于N时,所述K个待编码比特映射到M-P个非打孔的极化子信道中可靠度较高的K个极化子信道,使得K个待编码比特所在的极化子信道的可靠度高于其余M-P-K个极化子信道的可靠度,M为目标码长,P为预冻结的极化子信道的数目,P大于或等于0。
在一个可能的设计中,所述第一序列是预先存储的。
在一个可能的设计中,所述N个极化子信道的序号为0~(N-1)或1~N。
第二方面,提供一种Polar码解码方法,包括:
解码装置获取待解码信息序列,其中包括K个待解码比特;
确定母码长度N和和第一序列,所述第一序列中包含N个极化子信道的序号,所述N个极化子信道的序号在所述第一序列中是按照所述N个极化子信道的可靠度进行排列的,N=2n,K≤N,N大于或等于32,K、n和N为正整数;
根据所述第一序列确定用于放置所述K个待解码比特的K个极化子信道并对所述待解码信息序列进行解码,获取解码结果;
输出所述解码结果;
其中所述第一序列为附录中长度为N的任一个Q序列或者为附录中长度大于N的任一个Q序列的子序列。
这种设计与第一方面的编码方法完全对应,因此同样切合了大数据块的特点,也可以后向兼容现有NR系统支持的可靠度排序序列,减小了实现难度。
在一个可能的设计中,所述第一序列为第二序列的子序列,所述第二序列中包含Nmax个极化子信道的序号,所述Nmax个极化子信道的序号在所述第二序列中是按照所述Nmax个极化子信道的可靠度进行排列的,N小于或等于Nmax,其中nmax为正整数,n小于或等于nmax,所述第二序列为附录中的任一个长度为Nmax的Q序列
在一个可能的设计中,所述K个待编码比特中,包括循环冗余校验比特。
在一个可能的设计中,所述K个待编码比特中,包括奇偶校验比特。
在一个可能的设计中,所述Polar编码方法由网络设备或终端执行。
在一个可能的设计中,所述根据所述第一序列确定用于放置所述K个待编码比特的K个极化子信道为:当M小于或等于N时,所述K个待编码比特映射到M-P个非打孔的极化子信道中可靠度较高的K个极化子信道,使得K个待编码比特所在的极化子信道的可靠度高于其余M-P-K个极化子信道的可靠度,M为目标码长,P为预冻结的极化子信道的数目,P大于或等于0。
在一个可能的设计中,所述第一序列是预先存储的。
在一个可能的设计中,所述N个极化子信道的序号为0~(N-1)或1~N。
第三方面,提供一种Polar码编码装置,该装置具有实现上述第一方面和第一方面的任一种可能的设计中所述的方法的功能。所述功能可以通过硬件实现,也可以通过硬件执行相应的软件实现。所述硬件或软件包括一个或多个与上述功能相对应的模块。
在一个可能的设计中,当所述功能的部分或全部通过硬件实现时,所述Polar码编码装置包括:输入接口电路,用于获取待编码比特;逻辑电路,用于执行上述第一方面和第一方面的任一种可能的设计中所述的操作;输出接口电路,用于输出速率匹配后的序列。
可选的,所述Polar码编码装置可以是芯片或者集成电路。
在一个可能的设计中,当所述功能的部分或全部通过软件实现时,所述Polar码编码装置包括: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Polar码编码装置可以实现如上述第一方面和第一方面的任一种可能的设计中所述的方法。
可选的,上述存储器可以是物理上独立的单元,也可以与处理器集成在一起。
在一个可能的设计中,当所述功能的部分或全部通过软件实现时,所述Polar码编码装置包括处理器。用于存储程序的存储器位于所述Polar码编码装置之外,处理器通过电路/电线与存储器连接,用于读取并执行所述存储器中存储的程序。
在一个可能的设计中,所述装置为网络设备或终端。
第四方面,提供一种Polar码解码装置,该装置具有实现上述第二方面和第二方面的任一种可能的设计中所述的方法的功能。所述功能可以通过硬件实现,也可以通过硬件执行相应的软件实现。所述硬件或软件包括一个或多个与上述功能相对应的模块。
在一个可能的设计中,当所述功能的部分或全部通过硬件实现时,所述Polar码解码装置包括:输入接口电路,用于获取待解码信息序列;逻辑电路,用于执行上述第二方面和第二方面的任一种可能的设计中所述的操作;输出接口电路,用于输出解码结果。
可选的,所述Polar码解码装置可以是芯片或者集成电路。
在一个可能的设计中,当所述功能的部分或全部通过软件实现时,所述Polar码解码装置包括: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Polar码解码装置可以实现如上述第一方面和第一方面的任一种可能的设计中所述的方法。
可选的,上述存储器可以是物理上独立的单元,也可以与处理器集成在一起。
在一个可能的设计中,当所述功能的部分或全部通过软件实现时,所述Polar码解码装置包括处理器。用于存储程序的存储器位于所述Polar码解码装置之外,处理器通过电路/电线与存储器连接,用于读取并执行所述存储器中存储的程序。
在一个可能的设计中,所述装置为网络设备或终端。
第五方面,提供了一种通信系统,该通信系统包网络设备和终端,所述网络设备执行如上述第一方面及其可能的设计所述的方法而所述终端执行执行如上述第二方面及其可能的设计所述的方法,或者所述终端网络设备执行如上述第一方面及其可能的设计所述的方法而所述网络设备执行执行如上述第二方面及其可能的设计所述的方法,。
第六方面,提供了一种计算机存储介质,存储有计算机程序,该计算机程序包括用于执行第一方面和第一方面的任一可能设计中任一种所述的方法的指令。
第七方面,提供了一种计算机存储介质,存储有计算机程序,该计算机程序包括用于执行第二方面和第二方面的任一可能设计中任一种所述的方法的指令。
第八方面,本申请实施例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。
第九方面,提供了一种无线设备,包括用于实施第一方面和第一方面的任一可能设计的编码装置和收发器,
所述收发器用于接收或发送信号。
在一个可能的设计中,所述无线设备为终端或者网络设备。
第十方面,提供了一种无线设备,包括用于实施第二方面和第二方面的任一可能设计的编码装置和收发器,
所述收发器用于接收或发送信号。
在一个可能的设计中,所述无线设备为终端或者网络设备。
附图说明
图1为本申请实施例中应用的通信系统架构示意图;
图2为本申请实施例中Polar码编码方法的流程示意图;
图3为本申请实施例中Polar码编码装置结构示意图之一;
图4为本申请实施例中Polar码编码装置结构示意图之二;
图5为本申请实施例中Polar码装置结构示意图之三;
图6为本申请实施例中Polar码编码装置结构示意图之四;
图7为本申请实施例中Polar码解码装置结构示意图之一;
图8为本申请实施例中Polar码解码装置结构示意图之二;
图9为本申请实施例中Polar码解码装置结构示意图之三;
图10为本申请实施例中Polar码解码装置结构示意图之四。
具体实施方式
下面将结合附图,对本申请实施例进行详细描述。
如果不考虑数据信道的特点,直接将现有5G NR标准中用于控制信道的Polar码编码方式照搬到数据中,由于目前的5G NR标准中,Polar码的母码长度最长为1024,所以能支持的数据包长度有限。因此有必要重新设计Polar码的编码方式,以便更适应于数据信道,同时最好能兼顾适用于控制信道。
本申请实施例提供一种Polar码编码方法及装置,根据预先存储的可靠度排序序列或者其子序列,按照可靠度排序选择用于发送信息比特的极化子信道的序号,按照所选择的信息极化子信道序号进行Polar码编码,然后对编码后的序列进行速率匹配操作,并输出速率匹配后的序列,其中速率匹配操作包括重复或者打孔或者缩短。本申请实施例更适用于数据信道。下面结合附图详细说明本发明实施例提供的Polar码编码方法和装置。
为方便对本申请实施例的理解,下面对Polar码作简单介绍。
Polar码的编码策略利用无噪信道传输用户有用的信息,全噪信道传输约定的信息或者不传信息。Polar码也是一种线性块码,其编码矩阵为GN,编码过程为其中是一个二进制的行矢量,长度为N(即码长,可以看到,编码前后的序列x和u的长度均为N,N也称为母码码长);GN是一个N×N的矩阵,且 定义为log2 N个矩阵F2的克罗内克(Kronecker)乘积。上述矩阵在有些实现方式中,在和GN还可以有个转置矩阵,由于本质上不影响Polar码的性能,因此本申请不再赘述。
Polar码的编码过程中,中的一部分比特用来携带信息,称为信息比特集合,这些比特的索引的集合记作另外的一部分比特设置为接收端和发送端预先约定的固定值,称之为冻结比特集合或冻结比特集合(frozen bits),其索引的集合用的补集表示。Polar码的编码过程相当于:这里,GN(A)是GN中由集合中的索引对应的那些行得到的子矩阵,GN(AC)是GN中由集合中的索引对应的那些行得到的子矩阵。为中的信息比特集合,数量为K,一般地,包括但不限于循环冗余校验(CyclicRedundancy Check,简称CRC)比特和奇偶校验(Parity Check,简称PC)比特在内的各类校验比特也可以都包括在信息比特集合中;为中的冻结比特集合,其数量为(N-K),是已知比特。这些冻结比特通常被设置为0,但是只要接收端和发送端预先约定,冻结比特的值可以被任意设置。从而,Polar码的编码输出可简化为:这里为中的信息比特集合,为长度K的行矢量,即|·|表示集合中元素的个数,K为信息块大小,是矩阵GN中由集合中的索引对应的那些行得到的子矩阵,是一个K×N的矩阵。
在不考虑速率匹配的情况下,将可靠度较高的前K个极化子信道的索引作为集合的元素,剩余(N-K)个极化子信道对应的索引作为冻结比特的索引集合的元素。集合决定了信息比特的位置,集合决定了冻结比特的位置。极化子信道的序号即为信息比特或者冻结比特的位置索引,也即在中的位置索引。
当考虑速率匹配的时候,主要是考虑打孔(puncture)或缩短(shorten)的时候,一般是先确定需要打孔或缩短(即删除)的N-M个极化子信道,这里M是目标码长,即速率匹配后的比特序列长度,这里选出的N-M个极化子信道用于放置冻结比特。在5G NR标准中,针对打孔的情形,还额外确定了一些称为预冻结的极化子信道,也用于放置冻结比特,这里不妨将预冻结的极化子信道数量定义为P,P大于或者等于0(5G NR中,对于缩短的情形,P为0,这时候是可以不需要考虑P的,本申请对此则不予限制),然后在剩下的M-P个极化子信道中按照可靠度挑选其中可靠度较高的K个极化子信道用于放置K个信息比特。当然,也可以先选择可靠度较低的M-P-K个子信道用于放置冻结比特,而余下的K个子信道则用于放置信息比特。放置K个信息比特的K个极化子信道中的任意一个极化子信道的可靠度都高于用于放置冻结比特的M-P-K个子信道中的任意一个子信道的可靠度。在本申请中,对P的取值不做限制,即使对于打孔的情形,P也可以为0,即使对于缩短的情形,P也可以取为大于0,并不影响本申请技术方案的实施,无论是编码端还是解码端,确认K个子信道用于放置K个信息比特的原则和方法是一致的。5G NR标准中,对于N-M个极化子信道的选取,其方案是将子块交织(分成32个子块)后的序列放到循环缓存(英文为circular buffer,相当于速率匹配序列)上,如果是打孔,则在循环缓存上从第N-M个位置开始读取,丢弃从0到N-M-1位置上的比特,如果是缩短,则在循环缓存上从第0个位置开始读取直至第M-1个位置,而丢弃从第M到N-1位置上的比特。一般地,采用长度为母码长度N的可靠度排序序列用来表征不同极化子信道之间的可靠度相对关系,该可靠度排序序列包括N个极化子信道的序号(从0开始到N-1),可以按照可靠度从高到低或者从低到高的方式进行排列,不失一般性,本申请均以可靠度从低到高的方式举例。
需要说明的是,这里说的可靠度的相对关系是基于一个给定的可靠度的计算方式,不同的可靠度计算方式可能会导致极化子信道的可靠度相对关系发生变化,但选择放置信息比特的极化子信道的方法是一样的。在5G NR标准之外,信息比特也可以考虑放置于最后被打孔或者缩短的极化子信道。本申请并不限制必须按照5G NR的标准选择放置信息比特的极化子信道。
在5G NR标准中,不同母码长度对应的可靠度排序序列之间满足嵌套特性,即母码长度N小于或等于母码长度N’时,N对应的可靠度排序序列中的各极化子信道(极化子信道0,…,N-1)的可靠度的相对关系与这些极化子信道(极化子信道0,…,N-1)在N’对应的可靠度排序序列中的可靠度相对关系一致,换言之,在N’对应的可靠度排序序列中,只保留小于N的极化子信道号且不改变该N个极化子信道号位置的前后相对关系,就可以得到N对应的可靠度排序序列了,因此可以称长度为N的可靠度排序序列为长度为N’的可靠度排序序列的子序列,N小于或等于N’。例如N’=8,可靠度排序序列1为[0,4,6,2,3,1,7,5],相应地,若N=4,可靠度排序序列2为[0,2,3,1],则序列2为序列1的子序列。因此具体实现中,既可以把不同母码长度的可靠度排序序列都预先存储下来,也可以只预先存储长度等于最大母码长度Nmax的可靠度排序序列,然后其他母码长度N对应的可靠度排序序列就从最大母码长度对应的可靠度排序序列中只保留小于N的极化子信道的序号而得到,这样可以节省存储开销。特别地,一个序列也可以是其自身的子序列,因此N最大也可以等于Nmax。
图1为本发明实施例无线通信网络的结构示意图。图1只是一种示例,其它能用到本发明实施例的编码方法或装置的无线网络也都在本发明的保护范围内。
如图1所示,无线通信网络100包括网络设备110,和终端112。当无线通信网络100包括核心网102时,该网络设备110还可以与核心网102相连。网络设备110还可以与IP网络104进行通信,例如,因特网(internet),私有的IP网,或其它数据网等。网络设备为覆盖范围内的终端提供服务。例如,参见图1所示,网络设备110为网络设备110覆盖范围内的一个或多个终端112提供无线接入。除此之外,网络设备之间的覆盖范围可以存在重叠的区域,例如网络设备110和120。网络设备之间还可以可以互相通信,例如,网络设备110可以与网络设备120之间进行通信。
上述网络设备可以是用于与终端设备进行通信的设备。例如,可以是LTE系统中的演进型基站(Evolved Node B,eNB或eNodeB),还可以是5G网络中的gNB,还可以是卫星通信中的卫星,或者未来通信系统中的网络侧设备等。或者该网络设备还可以是中继站、接入点、车载设备等。在设备对设备(Device to Device,D2D)通信系统、机器对机器(Machineto Machine,M2M)通信系统和车联网系统中,该网络设备还可以是担任基站功能的终端。
上述终端可以指用户设备(User Equipment,UE)、接入终端、用户单元、移动站、远方站、远程终端、移动设备、用户终端、无线通信设备、用户代理或用户装置。接入终端可以是蜂窝电话、无绳电话、会话启动协议(Session Initiation Protocol,SIP)电话、无线本地环路(Wireless Local Loop,WLL)站、个人数字处理(Personal Digital Assistant,PDA)、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、车载设备、可穿戴设备,未来通信网络中的终端设备等。
基于图1所示的通信系统架构,本申请实施例中,执行Polar码编码方法的执行主体可以为上述网络设备或终端,当网络设备或终端作为发送端发送数据或信息时,均可以采用此Polar码编码方法。相应的,当网络设备或终端作为接收端接收数据或信息时,也需要根据本发明所述的方法确认可靠度排序序列然后进行解码。下面将对本申请实施例提供的Polar码编码方法做详细介绍。
基于图1所示的通信系统架构,如图2所示,本申请实施例提供的Polar码编码方法具体流程如下所述。
操作210:获取K个待编码比特、目标码长M、母码长度N和第一序列,该第一序列为可靠度排序序列,包含N个极化子信道的序号,该N个极化子信道的序号在第一序列中是按照所述N个极化子信道的可靠度进行排列的,N=2n,K≤N,考虑到Polar码的应用场景,N可以取为大于或等于32的值,M、K、n和N为正整数;
这里的K个待编码比特中,可以只包括载荷比特,也可以在除了载荷比特外还包括CRC比特、PC比特等等其他各种类型的非冻结比特中的一类或者多类。
在5G NR系统中规定了如何由目标码长M和码率等因素获取母码长度N,由于这并非是本申请要解决的技术问题,因此直接沿用,但并非标明本申请的方案只能采用5G NR的方式获取母码长度N。
确定N后,就可以确定长度为N的第一序列。如前所述,该第一序列可以是预先存储的,也可以是第二序列中取出的长度为N的子序列,其中第二序列是长度为最大母码长度Nmax的可靠度排序序列。具体地,第一序列可以是附录中长度为N的任一个Q序列或者是附录中长度大于N的任一个Q序列的子序列,第二序列可以是附录中长度为Nmax的任一个Q序列,第一序列为第二序列的子序列,N小于或等于Nmax。Nmax可以为2048、4096、8192和16384中的任一个。
本申请基于译码实现、速率匹配、码块重传等考量,在附录中提供了八组适用于长码块编码的Polar码可靠度排序序列,每组序列均按可靠度包括长度分别为2048、4096、8192和16384的按可靠度从小到大排列的可靠度排序序列(Qx_y序列,x为1到8中任意一个整数,y为2048、4096、8192和16384中任意一个值,在不影响理解的情况下,通称Q序列,下同)以及对应的可靠度位置序列(Zx_y序列,x为1到8中任意一个整数,y为2048、4096、8192和16384中任意一个值,在不影响理解的情况下,通称Z序列,下同)。对于Q序列,序列中的每个值是极化子信道的序号,它在序列中的位置就是可靠度排序,位置越是在前,则可靠度越小。对于Z序列,序列中的每个值是这个值所在位置(即所在的极化子信道)的可靠度在所有极化子信道的可靠度中的排序。Q序列和Z序列是一一对应的,一个简单的例子,若Q序列为[0,4,6,2,3,1,7,5],则对应的Z序列为[0,5,3,4,1,7,2,6],他们都表示极化子信道5的可靠度最高,其次是极化子信道7,再次是极化子信道1,以此类推,可靠度最小的是极化子信道0。注意附录中只给出了长度大于1024的可靠度排序序列,这是因为这些序列都是后向兼容的,即5G NR协议中规定的长度为Nmax=1024的可靠度排序序列是附录中任意一个Qx_y序列的子序列,也即5G NR协议中采用的长度分别为32、64、128、256、512或1024的可靠度排序序列是附录中任意一个Qx_y序列的子序列。在实际实施的时候一般采用Q序列来选取K个极化子信道,但也可以用Z序列来选取。
序列组一(即Q1_y和Z1_y):设计该序列的准则是能够在保证译码性能的同时还可以为Polar译码提供更高的并行度,从而进一步降低译码时延;
序列组二(即Q2_y和Z2_y):目前NR中,除了重复的速率匹配方案之外,基于码率分为打孔和缩短两种速率匹配方式;设计该序列的准则是偏重于优化考虑打孔的速率匹配方式下的性能;
序列组三(即Q3_y和Z3_y):目前NR中,除了重复的速率匹配方案之外,基于码率分为打孔和缩短两种速率匹配方式;设计该序列的准则是偏重于优化考虑缩短的速率匹配方式下的性能;
序列组四(即Q4_y和Z4_y):数据信道中需要支持HARQ,目前业界通常采用的的Polar码HARQ方案主要包括IR和IF两种,设计该序列的准则是兼顾IR(IncrementalRedundancy,增量冗余)和IF(Incremental Frozen,增量冻结)的HARQ的性能;
在数据信道的高吞吐通信场景下,系统会定义若干固定的MCS格式,相应的所需母码长度预计包括2048/4096/8192/16384等,在不同的细分场景下,母码长度出现的几率会有所不同,因此本发明针对不同的母码长度以及调制方式,有针对性设计了一些可靠度排序序列。
序列组五(即Q5_y和Z5_y):优先考虑16QAM调制方式时的性能,但也能保证其他调制方式下的性能可以满足要求;
序列组六(即Q6_y和Z6_y):优先考虑64QAM调制方式时的性能,但也能保证其他调制方式下的性能可以满足要求;
序列组七(即Q7_y和Z7_y):优先考虑母码长度为2048时的性能,但也能保证其他母码长度下的性能可以满足要求;
序列组八(即Q8_y和Z8_y):优先考虑母码长度为4096时的性能,但也能保证其他母码长度下的性能可以满足要求。
需要注意的几点:
1、5G NR协议中给定的长度为1024的可靠度排序序列为附录中任一Q序列的子序列,这样在满足数据信道编码需求的同时,又保证了对现有协议的兼容,相应的,5G NR协议中采用的长度分别为32、64、128、256、512或1024的可靠度排序序列是附录中任一Q序列的子序列。
2、序列中少数元素之间的位置互换。例如,序号位置可以在设定幅度内调整,例如,设定幅度为5,将序号为10的元素位置在左右5个位置内调整均可;
3、序列中的部分元素进行调整,但是根据该序列选择出用于传输T比特信息的信道集合是一致或相似的。
4、序列中包含从0开始到N-1结束的N个元素,从0开始到N-1结束的N个元素代表N个极化子信道的序号。实际上,N个极化子信道的序号也可以从1开始到N结束,将上述序列中各序号均加1即可,这也是上述各计算方式中的序号形式。当然,也可以采取其他方式表示上述极化子信道的序号或者标识,该具体表达方式不影响序列中所表示的极化子信道的具体位置。
操作220:根据所述第一序列确定用于放置所述K个待编码比特的K个极化子信道并对K个待编码比特进行极化编码,得到编码后的比特序列;
具体的编码操作可以参见前述的描述。可以先确定速率匹配的具体模式,对于打孔或缩短的情形,先确定到底打孔或者缩短掉(即删除掉)哪些极化子信道以及可能的P个预冻结极化子信道(P大于或等于0),然后在剩下的M-P个极化子信道中按照可靠度挑选其中可靠度较高的K个极化子信道用于放置K个信息比特。对于重复的情形,则直接在N个极化子信道中按照可靠度挑选其中可靠度较高的K个极化子信道用于放置K个信息比特。解码侧也可以通过同样的方式确定K个信息比特的位置。
操作230:对所述编码后的比特序列进行速率匹配操作获取长度为M的速率匹配后的比特序列。
具体的速率匹配操作,可以参照5G NR中先进行块交织然后在循环缓存上依次取位的方式,也可以采用预设的速率匹配序列来进行,在此不做限定。
操作240:输出速率匹配后的序列。
注意如果考虑调制操作,这里输出的就应是基于速率匹配后的比特序列进行调制后的序列,该序列为符号序列,此时序列的长度也就不一定还是M了。如果不考虑调制,则速率匹配后的序列即为速率匹配后的比特序列。在不影响理解的情况下,在本申请中对“速率匹配后的序列”和“速率匹配后的比特序列”这两个术语并不加以严格区分。
上述图2所示的实施例是发送端的操作,接收端的操作也是类似的,接收机(或者接收装置)在接收到待解码信息序列后,也需要根据类似的方法,具体而言,获取包括K个待解码比特的待解码信息序列、目标码长M和母码长度N,确定第一序列从而根据所述第一序列确定用于放置所述K个待解码比特的K个极化子信道,并对待解码信息序列进行解码操作,从而得到并输出解码结果,详细的解码算法这里不做限定。
如图3所示,本申请实施例中还提供一种Polar码编码装置300。图3所示的Polar码编码方法中的部分或全部可以通过硬件来实现也可以通过软件来实现。
对于Polar码编码装置300,基于图2所示的Polar码编码方法的同一发明构思,该Polar码编码装置300用于执行图2所示的Polar码编码方法。当通过硬件实现时,Polar码编码装置300包括:输入接口电路301,用于获取待编码比特;逻辑电路302,用于执行上述图2所示的Polar码编码方法,具体请见前面方法实施例中的描述,此处不再赘述;输出接口电路303,用于输出速率匹配后的序列。进一步地,速率匹配后的序列还是经过调制的序列,这个序列是调制后的符号序列,它们输出给收发器320,收发器320对调制后的序列进行相应处理(包括但不限于数模变换和/或变频等处理)后通过天线330发送出去。可选的,Polar码编码装置300在具体实现时可以是芯片或者集成电路。
可选的,当上述实施例的Polar码编码方法中的部分或全部通过软件来实现时,如图4所示,Polar码编码装置400包括:存储器401,用于存储程序;处理器402,用于执行存储器401存储的程序,当程序被执行时,使得Polar码编码装置400可以实现上述实施例提供的Polar码编码方法。
可选的,上述存储器401可以是物理上独立的单元,也可以如图5所示,存储器501与处理器502集成在一起。
可选的,当上述实施例的编码方法中的部分或全部通过软件实现时,Polar码编码装置400也可以只包括处理器402。用于存储程序的存储器401位于Polar码编码装置400之外,处理器402通过电路/电线与存储器401连接,用于读取并执行存储器401中存储的程序。
基于图2所示的Polar码编码方法,如图6所示,本申请实施例还提供了一种Polar码编码装置600,Polar码编码装置600用于执行图2所示的Polar码编码方法,Polar码编码装置600包括:
获取单元601,用于获取K个待编码比特;
编码单元602,用于确定母码长度N和第一序列(长度为N的可靠度排序序列),根据母码长度N对该K个待编码比特进行极化编码,得到编码后的比特序列,具体编码过程可参见前述实施例的操作220;
速率匹配单元603,用于对编码后的比特序列进行速率匹配操作获取长度为M的速率匹配后的比特序列(或者是对该比特序列进一步通过调制的序列,也称为速率匹配后的序列),具体的速率匹配方法可参见前述实施例的操作230。
与发送端相对应,接收端的装置也可以进行类似的设计。
如图7所示,Polar码解码装置700包括:输入接口电路701用于获取待解码信息序列,逻辑电路702用于执行前述的Polar码解码的方法,以获取解码后的信息比特;输出接口电路703用于输出解码后的信息。Polar码解码装置700还可以包括收发器720通过天线730获取待解码信息序列。在具体实现时可以是芯片或者集成电路。
可选的,当上述实施例的Polar码解码方法中的部分或全部通过软件来实现时,如图8所示,Polar码解码800包括:存储器801,用于存储程序;处理器802,用于执行存储器801存储的程序,当程序被执行时,使得Polar码解码装置800可以实现上述实施例提供的Polar码解码方法。
可选的,上述存储器801可以是物理上独立的单元,也可以如图9所示,存储器901与处理器902集成在一起。
可选的,当上述实施例的解码方法中的部分或全部通过软件实现时,Polar码解码装置800也可以只包括处理器802。用于存储程序的存储器801位于Polar码解码装置800之外,处理器802通过电路/电线与存储器801连接,用于读取并执行存储器801中存储的程序。
处理器402和/或处理器802可以是中央处理器(central processing unit,CPU),网络处理器(network processor,NP)或者CPU和NP的组合。
处理器402和/或处理器802还可以进一步包括硬件芯片。上述硬件芯片可以是专用集成电路(application-specific integrated circuit,ASIC),可编程逻辑器件(programmable logic device,PLD)或其组合。上述PLD可以是复杂可编程逻辑器件(complex programmable logic device,CPLD),现场可编程逻辑门阵列(field-programmable gate array,FPGA),通用阵列逻辑(generic array logic,GAL)或其任意组合。
上述实施例中的存储器可以包括易失性存储器(volatile memory),例如随机存取存储器(random-access memory,RAM);存储器也可以包括非易失性存储器(non-volatile memory),例如快闪存储器(flash memory),硬盘(hard disk drive,HDD)或固态硬盘(solid-state drive,SSD);存储器还可以包括上述种类的存储器的组合。
基于上述的Polar码解码方法,如图10所示,本申请实施例还提供了一种Polar码解码装置1000,Polar码解码装置1000用于执行前述的Polar码解码方法,Polar码解码装置1000包括:
获取单元1001,用于获取待解码信息序列;
处理单元1002,用于确定母码长度N的第一序列(长度为N的可靠度排序序列),对待解码信息序列序列进行解码的操作,从而得到并输出解码结果;
本申请实施例还提供了一种计算机存储介质,存储有计算机程序指令,该计算机程序指令由计算机执行时,使得前述的Polar码编码方法或者Polar码解码方法被执行。
本申请实施例还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,使得前述的Polar码编码方法或者Polar码解码方法被执行。
本领域内的技术人员应明白,本申请的实施例可提供为方法、系统、或计算机程序产品。因此,本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本申请可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。
本申请是参照根据本申请实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。
尽管已描述了本申请的优选实施例,但本领域内的技术人员一旦得知了基本创造性概念,则可对这些实施例作出另外的变更和修改。所以,所附权利要求意欲解释为包括优选实施例以及落入本申请范围的所有变更和修改。
显然,本领域的技术人员可以对本申请实施例进行各种改动和变型而不脱离本申请实施例的精神和范围。这样,倘若本申请实施例的这些修改和变型属于本申请权利要求及其等同技术的范围之内,则本申请也意图包含这些改动和变型在内。
附录:
序列组一:Q1_2048
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序列组一:Z1_2048
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序列组一:Q1_4096
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序列组一:Z1_4096
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序列组一:Q1_8192
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,2915,2685,2955,2535,3717,3665,3607,3312,2743,2794,1961,1987,1771,1529,3278,3167,2876,2801,4920,4998,5298,5414,7186,7296,6294,6297,1879,1948,1758,1853,3399,3636,2902,2905,3872,3474,3428,3379,3373,3489,2552,2847,2303,3012,3285,3640,1007,1015,1989,1962,3904,3660,2957,2767,1908,1530,1773,1969,1990,1779,1883,1964,3258,3718,3476,3299,6309,6250,6199,6472,5213,5764,4782,4836,4946,4471,4540,4566,4579,4511,5322,5712,5443,5512,4581,5001,5417,5890,4891,4569,5227,5300,5271,5329,5404,5768,5214,5324,4730,4840,4948,5056,6680,6721,6692,6257,6298,6223,6413,6252,5418,5520,5728,5472,5445,5653,5275,5330,6722,6368,7180,7201,6310,6663,6696,6339,4961,4789,5425,5667,5420,5229,5304,5654,5657,5235,4893,5002,7233,7188,6414,6785,4811,4903,5287,5345,3968,3666,2525,2963,2686,2796,3490,3374,6667,6419,6724,6435,5446,5426,4570,4732,4790,4350,4813,4671,5009,4894,5892,5277,5776,5449,4907,4475,6203,6313,6704,6258,3721,3843,2992,2917,2539,2747,2802,2906,4793,4527,4703,4585,4962,4819,4582,5004,1854,1935,1895,1663,3432,3611,2526,3016,6421,6300,7424,7202,6231,6341,6260,6314,2431,2958,2863,3024,3183,3403,2918,2965,1912,1503,1019,1021,3286,3381,2775,2541,5230,5237,4814,4909,4572,4952,4935,4821,5332,5291,5896,5450,4794,5010,4848,4964,4915,4910,4535,5025,6205,6675,6669,6786,5346,5669,4586,4719,4767,4835,5012,4559,2921,2749,3260,3521,3289,3480,3681,3668,1970,1774,1993,1532,3623,3722,3301,3231,4939,4477,4593,5026,5658,5507,5428,5336,6425,6422,6670,6321,6437,6532,7192,7204,6235,6728,6913,6342,5536,5391,5399,5278,5457,5670,5792,5238,5452,5699,5660,5509,5293,5241,5673,5319,4917,4822,5904,5299,3492,3382,2979,2804,3613,3845,2908,2547,1885,1781,1994,1943,2779,2871,3682,3729,3405,3191,3672,3411,1899,1886,1782,1972,2001,1947,1996,1785,3290,3440,3724,3302,5348,5458,5432,5824,5057,4968,5510,5294,7175,7297,6316,6264,6345,6480,6206,6426,4588,4727,5674,5701,7234,7680,6287,6247,2970,2922,3463,3385,2966,2550,3522,3614,4825,4796,4539,4837,5513,5403,5242,5568,2981,2791,2808,2929,3406,3305,3627,3846,1901,1976,1519,1727,3247,3195,3730,3684,2542,2750,2969,2549,3413,3849,3292,3386,5473,5681,5323,5183,4941,5016,4478,4918,5460,5514,5647,5702,5676,5301,5415,5405,3496,3467,3745,3655,1959,2002,1907,1786,3427,3359,3255,3306,3197,3629,3732,3688,1527,1949,1902,1759,3414,3388,3313,3850,5352,5244,4947,4826,6322,6438,6237,6788,3635,3417,3524,3469,2924,2895,3040,2495,3475,3279,2781,2875,2017,1909,1963,2018,6346,6736,6467,6536,6441,6914,6251,6324,7179,7208,6295,6353,4594,4976,4838,4541,3746,3630,3857,3504,2982,2930,2985,3011,4567,4731,5325,5302,5763,5682,5406,5705,3429,3259,3308,3736,2795,2553,2903,2972,5028,4783,5419,5474,6428,6792,6238,6348,2782,2877,3013,2986,3696,3659,3852,3777,6442,6544,6752,6496,4999,4921,4596,4942,4841,4922,5331,5521,5305,5516,4828,4542,5058,5032,4571,4949,5464,5706,4963,4733,2004,1950,1788,1965,2932,2554,2797,2993,1991,1910,1855,1971,3198,3314,3014,2803,5003,4583,5765,5713,6469,6677,6299,6354,6449,6691,6444,6253,7236,7298,7187,7181,2907,2988,3637,3470,3418,3528,3430,3477,5655,5360,4791,4842,6328,6678,6681,6259,5326,5215,4924,4849,5447,5684,4950,4953,6311,6369,6470,6450,6916,6301,6800,6473,1022,1023,1531,1913,3375,3641,3316,3667,2878,2959,2919,2687,2936,2527,3261,3638,5920,5522,5476,5427,5421,5537,4600,4895,7216,7182,6254,6261,6356,6315,6920,6474,2994,2798,3017,2556,2909,2805,3018,2967,2008,1775,1966,2020,2923,2910,2806,2996,3748,3433,3778,3661,3287,3858,3719,3420,4351,5060,5333,5688,6370,6693,7240,7425,1995,1914,1533,1973,3491,3478,3536,3752,1997,2024,1916,1974,3873,3434,3662,3481,3642,3860,3669,3644,3291,3383,3025,2971,5952,5708,5005,4815,5306,5766,5524,5347,3780,3670,3673,3723,3493,3864,3874,3683,6016,5714,4573,5011,4734,4844,5538,5422,3674,3482,3303,3760,1887,1783,2032,1534,3020,2809,3725,3320,3441,3262,3436,3726,5769,5891,5040,4965,4587,4795,4850,4954,5480,5659,4574,5064,4479,5006,4911,5072,6682,6531,6452,6360,7189,7300,6560,6415,6423,6302,6481,6694,6816,6262,6476,6723,5231,5451,4966,5013,5334,5429,4823,4589,4969,4797,5308,5569,5337,5528,5729,5716,3731,3407,3552,3387,3293,3442,2925,3000,6684,6533,6317,6265,6697,6343,6928,6323,2543,2751,2983,3026,2003,1977,1787,1998,2931,2810,2551,2973,2926,2783,3685,3494,6372,6482,6456,6848,7203,7426,6534,6318,5671,5770,5349,5279,5540,5430,5027,4852,6698,6725,6537,6427,5661,5893,4956,4595,4827,4919,5730,5777,5453,5239,5720,5459,6266,6592,6497,6705,5338,5488,5772,5350,3497,3523,3041,2933,3686,3615,3307,3484,5018,4970,5511,5433,5014,4598,5570,5662,3415,3444,3847,3389,1978,1903,2005,2006,5029,4839,4856,4977,6347,6207,6484,6538,3294,3498,3525,3309,3631,3905,3876,3784,3906,3733,3880,3851,2987,3042,3689,3676,5454,5353,5675,5894,5295,5243,5778,5732,6671,6726,6700,6325,7194,7681,7248,7205,4590,4798,5017,4597,5461,5897,5340,5434,7193,7190,6439,6429,6376,6268,6349,6326,1951,2019,1789,1980,3505,3792,3028,2974,3888,3908,3419,3969,1911,2009,2021,2010,5544,5515,5793,5703,6787,6706,6430,6729,5475,5407,5303,5354,5245,5677,5780,5736,5462,5436,5361,5898,5683,5465,5572,5517,7304,7428,6443,6498,6355,6545,7432,7206,4972,4943,5088,4543,5523,5327,4829,4923,5794,5678,5905,5552,5030,4978,5033,5059,5477,5307,5356,5784,7682,7264,6329,6540,6488,6730,7235,7209,7312,7196,6789,6737,4843,4601,4951,5020,4830,4925,5061,5034,5744,5707,5900,5825,7237,7210,6679,6384,6350,6239,6471,6708,4980,4602,4845,5041,5246,5362,5062,4851,4955,5036,5685,5518,3315,3734,3526,3390,3747,3690,2812,2989,3970,3853,3015,2934,1967,1915,2022,1790,5466,5576,5478,5525,5423,5689,5364,5715,3448,3500,2879,2995,3737,3808,3639,3912,7684,7217,6944,6546,6500,6451,6445,6561,6357,6712,6976,6732,4926,5007,4967,4735,2555,2937,3697,3310,3431,3529,3471,3859,3032,2799,3663,3750,3506,3749,3421,3317,4984,4575,5309,5686,5042,4846,5065,4604,4957,4853,5066,5015,6330,6790,6548,6371,3530,3738,3692,3435,1535,2012,2025,1975,3199,3263,3854,3479,3508,3698,3643,3537,2990,3044,3753,3318,3019,2938,3779,3422,3671,3740,3862,3532,3321,3754,2557,2997,7040,6738,7242,7440,7328,7688,7456,7696,6562,6446,6793,6915,7360,7712,6504,6683,3645,3483,3021,3048,2026,1917,1999,1918,2940,2998,3875,3861,3781,3437,3512,3700,4971,4958,4854,5044,5796,5481,5826,5709,3761,3446,3495,3538,2911,2807,3865,3322,3443,3553,3646,3485,3056,2558,3675,3438,6255,6475,6358,6453,5335,5906,5767,5468,5539,5526,5584,5800,5921,5482,5710,5529,5690,5908,5717,5692,5339,5431,5073,5019,5828,5718,5721,5771,6332,6593,7238,7212,5541,5912,5922,5731,7299,7249,6361,6552,3540,3727,3972,3877,3027,3001,3687,3756,3782,3501,3866,3324,2811,3022,3445,3677,3920,3762,3002,2927,2033,1979,2028,2034,5722,5530,5351,5808,6753,6740,6695,6794,3029,3030,3785,3704,3554,3878,3499,3976,3486,3295,3735,3764,1981,2007,1982,2011,2975,3043,3907,3691,3544,3527,3868,3881,3786,3793,2813,3004,3909,3788,3936,3882,2935,3033,3678,3984,3794,3768,3449,3507,3889,3391,3045,3034,3693,3884,3556,3502,6373,6303,6564,6454,5068,4857,5773,5368,6685,6917,6754,6801,6477,6263,6744,6483,5489,5310,5484,5774,6362,6512,6796,6374,6535,6457,7218,7241,5779,5455,5600,5435,5341,5490,4973,5048,4591,4799,5031,5074,4979,4858,4599,5021,6594,6686,7183,7488,6478,6377,6699,6918,4974,4831,5733,5542,6319,6267,7301,7220,5545,5571,5089,4981,6802,6756,6485,6921,6364,6458,6568,6539,6817,6727,7191,7302,6499,6431,6327,6378,5734,5663,5355,5532,5463,5492,5895,5437,3910,3739,3560,3311,3450,3531,3694,3699,6269,6701,6804,6760,7552,7244,6486,6460,6385,6922,7305,7250,6707,6489,6596,6541,5342,5546,5573,5357,6547,6351,7224,7195,6818,6702,6929,6576,6501,6331,7265,7207,7427,7252,6380,6808,5679,5953,5924,5832,5954,5781,5928,5899,6768,6731,6924,6849,2991,2939,3509,3452,3046,2814,3890,3533,6270,6386,6709,6542,5035,5090,5737,5724,5553,5840,5076,5022,5936,5956,5467,6017,5363,5782,5574,5438,7306,7313,6490,6600,7429,7197,6502,6549,5795,5738,4860,5037,6018,5901,5063,4982,5496,5548,4927,5043,5785,5856,5687,5960,4603,4985,5745,5358,3568,3741,3751,3796,2559,3036,3913,3701,2036,2023,2040,1791,3423,3539,3510,3809,3323,3534,3514,3513,3049,2999,3541,3319,3755,3914,3810,3971,3050,2941,3742,3855,2013,2027,2014,2029,3023,2942,3921,3892,3800,4000,3863,3439,3973,3702,3757,3916,6447,6713,6388,6739,5479,5577,5519,5907,5080,4847,5711,5798,5554,5797,5469,5365,3705,3783,3057,3003,3325,3763,3896,3974,6333,6710,6820,6505,7211,7266,6850,6733,5578,5786,5740,5483,5247,5311,5902,5527,5556,5746,5691,5585,5038,5092,5801,5366,6359,6930,7683,7256,5067,4986,5827,5470,5719,5788,5910,5580,5369,5802,4605,5045,5693,5531,5069,5096,4988,5046,5923,5909,7308,7198,6791,6492,6563,6550,6608,6824,6945,6506,6734,6553,6714,6932,6741,6716,6363,6455,7314,7239,7430,7433,6852,6742,6745,6795,7329,7744,7213,7268,6565,6936,3758,3812,3922,3447,3516,3542,3052,3058,6946,6755,6746,6554,7808,7219,6375,6832,5829,5485,5560,5748,7316,7214,6797,6392,3555,3487,3557,3977,3867,3545,3706,3816,6513,6334,6508,6798,6803,6479,7243,7434,5809,5494,5543,5586,6624,6459,6365,6514,4959,4855,5913,5370,7441,7685,7272,7330,5491,5601,5694,5533,5104,4606,5723,5486,6757,6566,6569,6595,6758,6687,6379,6556,3924,4032,3005,3031,3937,3765,3869,3978,6487,6516,7221,7361,6919,6461,6366,6570,3787,3879,3546,3708,3006,3035,3766,3326,5588,5775,6020,5925,5075,5049,5735,5804,3789,3647,3060,3047,3985,3870,3883,3451,6597,6381,6703,6977,7320,7245,7332,7936,7436,7442,6948,6856,6978,6805,6952,6923,1983,2035,2037,1919,3769,3503,3064,2815,6761,6748,6577,6864,5830,5549,5914,5372,4859,5070,5493,5725,5968,5810,5050,4975,5077,5078,5833,5752,6960,6980,6491,7041,3679,3561,3938,3795,3558,3980,3790,3885,7686,7222,7251,7225,6387,6806,7689,7280,5602,5926,5547,6024,6598,6462,6819,6762,5534,5343,5783,5812,5023,5091,5955,5739,5592,5575,5916,5929,7042,6925,6520,6572,6809,6880,6711,6984,5834,5841,4861,5052,5957,5836,5984,5930,4983,5081,5726,6032,6769,6382,7303,7246,5842,5816,5497,5555,5937,5439,5093,5082,7457,7362,7253,7444,7690,7226,6503,6601,5741,5932,5604,5550,3548,3928,3911,3797,3770,3986,3037,3051,6543,6931,6735,6822,5958,5787,5608,5359,3824,3940,3891,3886,3511,4001,3562,3695,6578,6821,7336,7307,5498,5579,5742,5747,7267,7254,6493,6389,6602,6810,6764,6507,6271,6335,6926,6551,5039,4987,5557,5500,5094,4862,5938,5581,6580,6770,7228,7448,2030,2038,2041,2042,3743,3811,3988,3535,7257,7458,7697,7692,5616,5789,5799,5844,3915,3453,3038,3053,3569,4002,3893,3798,4033,3944,3564,3703,3801,3772,3515,3813,6715,6609,7364,7309,6825,6390,6851,6494,7269,7315,7344,7310,4607,5084,5961,5749,5471,5587,5558,5857,6743,6812,6934,6604,7698,7489,7199,7368,5371,5582,5562,5561,5097,5047,5589,5367,5803,5962,5858,6019,3917,3992,3454,3894,3923,3802,3570,3952,6393,6826,7258,7713,5098,4989,5790,5903,5071,4990,5969,5940,5848,6048,5911,5487,6717,6555,6947,6933,6021,5750,5805,5964,3814,3517,3007,3059,2015,2044,2031,2039,6853,6509,6584,6772,5753,5831,5105,5051,5373,5811,5944,6022,6833,6518,6567,6610,6937,6394,6515,6625,7460,7490,7700,7431,3543,3707,4004,3759,3975,3897,3061,2943,7317,7270,7273,7472,6718,6557,6747,6510,6612,6799,7044,6949,5806,5860,5970,5495,7464,7331,7260,7215,5564,5590,5100,5106,3572,3918,3817,3898,3804,3518,4034,4008,5603,5535,5605,6025,7435,7553,7714,7492,6759,6828,6854,6573,7376,7554,6938,6396,3547,3925,3939,3709,3979,3559,3767,3818,3900,3825,3926,3929,3576,3871,3327,4036,6517,6749,6992,6834,7318,7321,6857,6776,5915,5593,5754,5864,6626,6950,6571,7048,5972,6080,5053,5079,6558,6367,7333,7274,5985,5813,5917,6026,5835,5927,5594,5756,6807,6836,6979,6763,7223,7496,7704,7745,3981,3791,3549,3987,3054,3062,3710,3820,6616,6599,6940,6953,7716,7281,7322,7247,5054,5083,5814,5374,5837,5695,5108,5095,6858,6865,7437,7276,6981,6860,7008,6954,6750,7056,6866,6840,7746,7392,7334,7687,4016,3941,3563,3771,3826,3930,3550,4040,6521,6579,6961,6463,6765,6956,6628,6574,6982,6811,7720,7363,7438,7809,7691,7443,3065,3066,3455,3982,3887,4048,3942,3989,6632,6383,6522,6603,6766,6771,7748,7459,7227,7337,6581,6524,6962,6605,6640,6813,6033,5918,5931,5499,5817,5551,5112,4863,6823,6868,6985,6773,5727,5609,5986,5843,3799,3565,3945,3773,4003,3828,3932,3571,7728,7282,7445,7324,7255,7365,6495,6611,5606,6028,5838,5933,5596,5976,5959,5845,6582,6881,6395,6606,6586,6585,7284,7338,5818,6034,5085,5099,5872,5988,5939,5934,5559,6049,5610,5743,5791,5859,6036,5583,7229,7699,7693,7810,7449,7446,7694,7345,3803,3895,3994,3946,3990,3574,4005,3815,5963,5501,5086,5101,5617,6050,5941,5846,3832,3953,3566,3774,3993,3573,3948,3919,6613,6391,6827,6986,6081,5992,5612,5751,5849,5820,5563,5861,7461,7556,6882,7043,6814,6927,6993,6964,6872,7072,6935,6511,2043,2045,2046,2047,3039,3068,4064,3519,7045,6774,7259,7752,6829,6988,7937,7366,5965,6040,5502,5942,5971,5850,5618,6000,5862,5565,5055,5107,6777,6855,7340,7288,5591,5755,6052,5807,6023,5945,5109,4991,5620,5966,5865,5946,5852,5566,6082,6056,3805,3899,4006,3954,4009,4035,3819,3577,5595,5973,5987,5757,6027,5607,5815,5866,7369,7504,6397,6835,7230,7450,7311,7271,6968,7046,7346,7462,7261,7812,6830,6884,3927,3996,3806,3901,3055,3063,4037,4010,6994,6519,6588,6614,6627,6559,7370,7760,3956,3578,3821,4017,4038,3827,3931,4012,7491,7560,6629,7049,7465,7938,6939,6617,7275,7348,7319,7377,7452,7816,7262,7372,6778,6888,6996,7104,5948,5873,5974,5977,7466,7568,7776,7520,7493,7701,7323,7378,7009,6837,7473,7715,7468,7277,7352,7702,7705,7283,6941,7050,6859,6951,7335,7393,3902,3983,3943,3711,3960,3551,3067,3069,5624,5919,5375,6084,7494,7474,6618,6780,6838,6398,6861,6719,7057,6942,7940,7325,7824,7497,6955,6523,6841,6575,6751,6633,7010,6867,6630,7052,6029,5839,5597,6035,5102,5110,5758,5868,6064,5989,5611,5819,4018,3822,4041,3580,3933,3829,4042,3991,5874,5978,5598,6088,5113,5114,5503,6030,5935,6096,5990,6037,7278,7285,6862,6957,6620,7000,6983,6869,5847,5613,5993,5821,7380,7339,7944,7498,6842,7058,6896,7012,6963,6958,6583,7073,7394,7717,6634,6767,3947,3934,3830,4020,4049,3995,4044,3833,6815,6883,7060,6607,6987,6525,6641,7074,7706,7555,7476,7384,7584,7439,7447,7326,7505,7718,7840,7286,7500,7747,7708,7557,6051,5876,5980,5619,7341,7289,7721,7367,3949,4024,3567,3775,4007,4050,3955,3834,6965,6870,7952,7347,5851,5943,6042,5994,7396,7506,7480,7872,7105,7016,7558,7342,3575,3997,3950,3807,4065,3957,4011,4066,6636,6775,7722,7749,6873,6844,6587,6885,7561,7451,7290,7616,6038,5622,6053,5863,7521,7729,7371,7231,5880,6001,5614,5822,4052,3998,3836,4013,4039,3958,3903,4019,6989,7064,6526,6966,6041,5621,5996,5967,7508,7562,7695,7750,7724,7349,7463,7453,5087,5116,6112,5567,7400,7292,6995,6874,6642,7024,6886,6589,6615,6779,7373,7350,5853,5947,6054,6002,7811,7730,7454,7753,7076,6831,7467,7522,7047,6969,6644,6990,6889,6970,7379,7569,7353,7564,6876,6590,3070,3071,3579,3961,4056,3823,4014,4068,7106,7080,6619,6997,7512,7754,7011,6781,7051,6631,7813,7761,7703,7408,6839,6890,6057,6083,5867,5625,7374,7263,6972,6897,5975,6044,5854,5949,7495,7732,6998,7001,7968,7570,7524,7475,7469,7585,6648,6943,6399,7108,7381,7736,5103,5111,6085,6058,8000,7756,7053,6863,6004,5626,5869,6065,4043,3962,3581,4021,4045,4072,3964,4022,6086,5875,5979,6060,7354,7814,7572,7395,8064,7762,6621,7059,6782,6892,7586,7470,7817,7939,7088,7013,6635,6843,6898,7002,5950,6031,5991,5759,7528,7707,6622,7112,6527,7054,6959,7120,7279,7499,7014,7061,6008,5599,5115,5117,7382,7477,6871,6637,7017,6845,7356,7617,7385,7576,7777,7764,6066,5870,6089,5628,7719,7818,7397,7327,7588,7478,7075,6900,7709,7941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序列组一:Z1_8192
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序列组一:Q1_16384
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73,1022,1023,1531,1913,3375,3641,3316,3667,2878,2959,2919,2687,2936,2527,3261,3638,5920,5522,5476,5427,5421,5537,4600,4895,7216,7182,6254,6261,6356,6315,6920,6474,2994,2798,3017,2556,2909,2805,3018,2967,2008,1775,1966,2020,2923,2910,2806,2996,3748,3433,3778,3661,3287,3858,3719,3420,4351,5060,5333,5688,6370,6693,7240,7425,1995,1914,1533,1973,3491,3478,3536,3752,1997,2024,1916,1974,3873,3434,3662,3481,3642,3860,3669,3644,3291,3383,3025,2971,10405,10346,10295,10568,9309,9860,8878,8932,9042,8567,8636,8662,8675,8607,9418,9808,12423,12366,12577,12482,12373,12564,12810,12346,9539,9608,8677,9097,9513,9986,8987,8665,9323,9396,9367,9425,9500,9864,9310,9420,8826,8936,9044,9152,10776,10817,10788,10353,10394,10319,10509,10348,9514,9616,9824,9568,9541,9749,9371,9426,10818,10464,11276,11297,5952,5708,5005,4815,5306,5766,5524,5347,3780,3670,3673,3723,3493,3864,3874,3683,6016,5714,4573,5011,4734,4844,5538,5422,3674,3482,3303,3760,1887,1783,2032,1534,3020,2809,3725,3320,3441,3262,3436,3726,5769,5891,5040,4965,4587,4795,4850,4954,5480,5659,4574,5064,4479,5006,4911,5072,6682,6531,6452,6360,7189,7300,6560,6415,10406,10759,10792,10435,9057,8885,9521,9763,9516,9325,9400,9750,9753,9331,8989,9098,11329,11284,10510,10881,8907,8999,9383,9441,10763,10515,10820,10531,9542,9522,8666,8828,8886,8446,8909,8767,9105,8990,9988,9373,9872,9545,9003,8571,10299,10409,10800,10354,12456,12427,12387,12374,12348,12568,12377,12578,8889,8623,8799,8681,9058,8915,8678,9100,6423,6302,6481,6694,6816,6262,6476,6723,5231,5451,4966,5013,5334,5429,4823,4589,4969,4797,5308,5569,5337,5528,5729,5716,3731,3407,3552,3387,3293,3442,2925,3000,10517,10396,11520,11298,10327,10437,10356,10410,9326,9333,8910,9005,8668,9048,9031,8917,6684,6533,6317,6265,6697,6343,6928,6323,2543,2751,2983,3026,2003,1977,1787,1998,2931,2810,2551,2973,2926,2783,3685,3494,6372,6482,6456,6848,7203,7426,6534,6318,5671,5770,5349,5279,5540,5430,5027,4852,6698,6725,6537,6427,5661,5893,4956,4595,9428,9387,9992,9546,8890,9106,8944,9060,9011,9006,8631,9121,10301,10771,10765,10882,4827,4919,5730,5777,5453,5239,5720,5459,6266,6592,6497,6705,5338,5488,5772,5350,3497,3523,3041,2933,3686,3615,3307,3484,5018,4970,5511,5433,5014,4598,5570,5662,3415,3444,3847,3389,1978,1903,2005,2006,5029,4839,4856,4977,6347,6207,6484,6538,3294,3498,3525,3309,3631,3905,3876,3784,3906,3733,3880,3851,2987,3042,3689,3676,9442,9765,8682,8815,8863,8931,9108,8655,9035,8573,8689,9122,9754,9603,9524,9432,5454,5353,5675,5894,5295,5243,5778,5732,6671,6726,6700,6325,7194,7681,7248,7205,4590,4798,5017,4597,5461,5897,5340,5434,7193,7190,6439,6429,6376,6268,6349,6326,10521,10518,10766,10417,10533,10628,11288,11300,10331,10824,11009,10438,9632,9487,9495,9374,12817,12812,12484,12429,14344,14352,14368,14339,12389,12435,12464,12430,12818,12609,12319,12488,1951,2019,1789,1980,3505,3792,3028,2974,3888,3908,3419,3969,1911,2009,2021,2010,5544,5515,5793,5703,6787,6706,6430,6729,5475,5407,5303,5354,5245,5677,5780,5736,12378,12833,12580,12610,12820,12551,12437,12390,9553,9766,9888,9334,9548,9795,9756,9605,9389,9337,9769,9415,9013,8918,10000,9395,9444,9554,9528,9920,9153,9064,9606,9390,5462,5436,5361,5898,5683,5465,5572,5517,7304,7428,6443,6498,6355,6545,7432,7206,11271,11393,10412,10360,10441,10576,10302,10522,8684,8823,9770,9797,11330,11776,10383,10343,4972,4943,5088,4543,5523,5327,4829,4923,5794,5678,5905,5552,5030,4978,5033,5059,5477,5307,5356,5784,7682,7264,6329,6540,6488,6730,7235,7209,7312,7196,6789,6737,4843,4601,4951,5020,4830,4925,5061,5034,5744,5707,5900,5825,7237,7210,6679,6384,6350,6239,6471,6708,4980,4602,4845,5041,5246,5362,5062,4851,4955,5036,5685,5518,12393,12592,12584,12451,12380,12335,12555,12673,8921,8892,8635,8933,9609,9499,9338,9664,9569,9777,9419,9279,9037,9112,8574,9014,12834,12612,12496,12674,13330,13440,12438,12441,3315,3734,3526,3390,3747,3690,2812,2989,3970,3853,3015,2934,1967,1915,2022,1790,5466,5576,5478,5525,5423,5689,5364,5715,3448,3500,2879,2995,3737,3808,3639,3912,7684,7217,6944,6546,6500,6451,6445,6561,6357,6712,6976,6732,4926,5007,4967,4735,2555,2937,3697,3310,3431,3529,3471,3859,3032,2799,3663,3750,3506,3749,3421,3317,4984,4575,5309,5686,5042,4846,5065,4604,4957,4853,5066,5015,6330,6790,6548,6371,14341,14400,14345,14342,12453,12394,12343,12616,9556,9610,9743,9798,9772,9397,9511,9501,9448,9340,9043,8922,10418,10534,10333,10884,12824,12865,12836,12401,12442,12367,12557,12396,12866,12512,13324,13345,12454,12807,12840,12483,10442,10832,10563,10632,10537,11010,10347,10420,3530,3738,3692,3435,1535,2012,2025,1975,3199,3263,3854,3479,3508,3698,3643,3537,2990,3044,3753,3318,3019,2938,3779,3422,3671,3740,3862,3532,3321,3754,2557,2997,7040,6738,7242,7440,7328,7688,7456,7696,6562,6446,6793,6915,7360,7712,6504,6683,13377,13332,12558,12929,12811,12563,12868,12579,11275,11304,10391,10449,8690,9072,8934,8637,8663,8827,9421,9398,9859,9778,9502,9801,9124,8879,9515,9570,10524,10888,10334,10444,3645,3483,3021,3048,2026,1917,1999,1918,2940,2998,3875,3861,3781,3437,3512,3700,4971,4958,4854,5044,5796,5481,5826,5709,3761,3446,3495,3538,2911,2807,3865,3322,3443,3553,3646,3485,3056,2558,3675,3438,6255,6475,6358,6453,5335,5906,5767,5468,5539,5526,5584,5800,5921,5482,5710,5529,5690,5908,5717,5692,5339,5431,5073,5019,5828,5718,5721,5771,6332,6593,7238,7212,5541,5912,5922,5731,7299,7249,6361,6552,14353,14346,14354,14464,12347,12457,12848,12402,10538,10640,10848,10592,9095,9017,8692,9038,8937,9018,9427,9617,9401,9612,8924,8638,9154,9128,8667,9045,9560,9802,9059,8829,9099,8679,9861,9809,10565,10773,10395,10450,10545,10787,10540,10349,11332,11394,11283,11277,3540,3727,3972,3877,3027,3001,3687,3756,3782,3501,3866,3324,2811,3022,3445,3677,3920,3762,3002,2927,2033,1979,2028,2034,5722,5530,5351,5808,6753,6740,6695,6794,3029,3030,3785,3704,3554,3878,3499,3976,3486,3295,3735,3764,1981,2007,1982,2011,2975,3043,3907,3691,3544,3527,3868,3881,3786,3793,2813,3004,3909,3788,3936,3882,9751,9456,8887,8938,10424,10774,10777,10355,9422,9311,9020,8945,9543,9780,9046,9049,10407,10465,10566,10546,11012,10397,10896,10569,12565,12444,13568,13346,12375,12485,12404,12458,12349,12819,12813,12930,14348,14369,14401,14356,12569,12566,12814,12465,14592,14370,14360,14372,10016,9618,9572,9523,9517,9633,8696,8991,11312,11278,10350,10357,10452,10411,11016,10570,12581,12676,13336,13348,14343,14465,14402,14848,8447,9156,9429,9784,10466,10789,11336,11521,2935,3033,3678,3984,3794,3768,3449,3507,3889,3391,3045,3034,3693,3884,3556,3502,6373,6303,6564,6454,5068,4857,5773,5368,6685,6917,6754,6801,6477,6263,6744,6483,10048,9804,9101,8911,9402,9862,9620,9443,10112,9810,8669,9107,8830,8940,9634,9518,5489,5310,5484,5774,6362,6512,6796,6374,6535,6457,7218,7241,5779,5455,5600,5435,5341,5490,4973,5048,4591,4799,5031,5074,4979,4858,4599,5021,6594,6686,7183,7488,6478,6377,6699,6918,4974,4831,5733,5542,6319,6267,7301,7220,5545,5571,5089,4981,6802,6756,6485,6921,6364,6458,6568,6539,6817,6727,7191,7302,6499,6431,6327,6378,5734,5663,5355,5532,5463,5492,5895,5437,3910,3739,3560,3311,3450,3531,3694,3699,6269,6701,6804,6760,7552,7244,6486,6460,6385,6922,7305,7250,6707,6489,6596,6541,9865,9987,9136,9061,8683,8891,8946,9050,12379,12872,13057,12486,13319,13441,12460,12408,5342,5546,5573,5357,6547,6351,7224,7195,6818,6702,6929,6576,6501,6331,7265,7207,12489,12624,12350,12570,13378,13824,12431,12391,9576,9755,8670,9160,8575,9102,9007,9168,7427,7252,6380,6808,5679,5953,5924,5832,5954,5781,5928,5899,6768,6731,6924,6849,10778,10627,10548,10456,11285,11396,10656,10511,10519,10398,10577,10790,10912,10358,10572,10819,9327,9547,9062,9109,9430,9525,8919,8685,9065,8893,9404,9665,9433,9624,9825,9812,2991,2939,3509,3452,3046,2814,3890,3533,6270,6386,6709,6542,5035,5090,5737,5724,10780,10629,10413,10361,10793,10439,11024,10419,10468,10578,10552,10944,11299,11522,10630,10414,9767,9866,9445,9375,9636,9526,9123,8948,10794,10821,10633,10523,9757,9989,9052,8691,5553,5840,5076,5022,5936,5956,5467,6017,5363,5782,5574,5438,7306,7313,6490,6600,8923,9015,9826,9873,9549,9335,9816,9555,10362,10688,10593,10801,9434,9584,9868,9446,9114,9066,9607,9529,9110,8694,9666,9758,12466,12582,12381,12932,12490,12880,12611,12680,7429,7197,6502,6549,5795,5738,4860,5037,6018,5901,5063,4982,5496,5548,4927,5043,5785,5856,5687,5960,4603,4985,5745,5358,3568,3741,3751,3796,2559,3036,3913,3701,2036,2023,2040,1791,3423,3539,3510,3809,3323,3534,3514,3513,3049,2999,3541,3319,3755,3914,3810,3971,3050,2941,3742,3855,2013,2027,2014,2029,3023,2942,3921,3892,9125,8935,8952,9073,10443,10303,10580,10634,12585,13058,12395,12468,13323,13352,12439,12497,9550,9449,9771,9990,9391,9339,9874,9828,10767,10822,10796,10421,11290,11777,11344,11301,3800,4000,3863,3439,3973,3702,3757,3916,6447,6713,6388,6739,5479,5577,5519,5907,8686,8894,9113,8693,9557,9993,9436,9530,12572,12936,12382,12492,12586,12688,12896,12640,5080,4847,5711,5798,5554,5797,5469,5365,3705,3783,3057,3003,3325,3763,3896,3974,11289,11286,10535,10525,10472,10364,10445,10422,9640,9611,9889,9799,10883,10802,10526,10825,9571,9503,9399,9450,9341,9773,9876,9832,9558,9532,9457,9994,9779,9561,9668,9613,11400,11524,10539,10594,10451,10641,11528,11302,12613,12821,12443,12498,12593,12835,12588,12397,9068,9039,9184,8639,9619,9423,8925,9019,9890,9774,10001,9648,9126,9074,9129,9155,6333,6710,6820,6505,7211,7266,6850,6733,5578,5786,5740,5483,5247,5311,5902,5527,5556,5746,5691,5585,5038,5092,5801,5366,6359,6930,7683,7256,5067,4986,5827,5470,9573,9403,9452,9880,11778,11360,10425,10636,10584,10826,11331,11305,11408,11292,10885,10833,13380,13442,13331,13325,12472,12822,12825,12403,8939,8697,9047,9116,8926,9021,9157,9130,9840,9803,9996,9921,11333,11306,10775,10480,12455,12513,12614,12594,13060,12445,12944,12617,10446,10335,10567,10804,9076,8698,8941,9137,9342,9458,9158,8947,9051,9132,9781,9614,5719,5788,5910,5580,5369,5802,4605,5045,5693,5531,5069,5096,4988,5046,5923,5909,9562,9672,9574,9621,9519,9785,9460,9811,13360,13326,12398,12405,12500,12459,13064,12618,11780,11313,11040,10642,10596,10547,10541,10657,10453,10808,11072,10828,9022,9103,9063,8831,9080,8671,9405,9782,9138,8942,9161,8700,12514,12837,13384,13569,12826,12675,1259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序列组一:Z1_16384
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序列组二:Q2_2048
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序列组二:Z2_2048
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序列组二:Q2_4096
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序列组二:Z2_4096
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序列组二:Q2_8192
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,4579,4511,5263,5223,5298,5414,5213,5764,5322,5712,4581,5001,5443,5512,6249,6448,6440,6307,4891,4569,5417,5890,6236,6191,6411,6529,7177,7174,6690,6468,4730,4840,4948,5056,2876,2801,3257,3468,1989,1962,1908,1530,1773,1969,1990,1779,3416,3658,2902,2905,3717,3665,3607,3312,3278,3167,2552,2847,1883,1964,1854,1935,2303,3012,3399,3636,3872,3474,3428,3379,2957,2767,2525,2963,5227,5300,4961,4789,5271,5329,4893,5002,6352,6530,6294,6297,6309,6250,6199,6472,5404,5768,4811,4903,5214,5324,4570,4732,1895,1663,1912,1503,1970,1774,1993,1532,5418,5520,5728,5472,4790,4350,4813,4671,3373,3489,2686,2796,2992,2917,3285,3640,2539,2747,3904,3660,2802,2906,3258,3718,6680,6721,6692,6257,5009,4894,5445,5653,3476,3299,2526,3016,3968,3666,3490,3374,6298,6223,7185,7178,5275,5330,5425,5667,5420,5229,4907,4475,5304,5654,4793,4527,1885,1781,1994,1943,3721,3843,2431,2958,3432,3611,3183,3403,2863,3024,2918,2965,4703,4585,5657,5235,4962,4819,4582,5004,6413,6252,6722,6368,4814,4909,4572,4952,5287,5345,5446,5426,6310,6663,6696,6339,1899,1886,1782,1972,2775,2541,3286,3381,6414,6785,6667,6419,4935,4821,5892,5277,2921,2749,3260,3521,2001,1947,1996,1785,5776,5449,4794,5010,6724,6435,7186,7296,3289,3480,2979,2804,1901,1976,1519,1727,4848,4964,5230,5237,4915,4910,5332,5291,5896,5450,5346,5669,6203,6313,6704,6258,3681,3668,3623,3722,2908,2547,3301,3231,5658,5507,5428,5336,4535,5025,4586,4719,3492,3382,3613,3845,1959,2002,1007,1015,2779,2871,2970,2922,3682,3729,2966,2550,3405,3191,3672,3411,2981,2791,3290,3440,6421,6300,6231,6341,4767,4835,5012,4559,2808,2929,3724,3302,3463,3385,3522,3614,4939,4477,5536,5391,5399,5278,5457,5670,6260,6314,6205,6675,6669,6786,7180,7201,3406,3305,2542,2750,3627,3846,2969,2549,3247,3195,3730,3684,3413,3849,2924,2895,4593,5026,5792,5238,4917,4822,5057,4968,6425,6422,6670,6321,5452,5699,4588,4727,6437,6532,6235,6728,5660,5509,5293,5241,1907,1786,1527,1949,3040,2495,3292,3386,4825,4796,4539,4837,5673,5319,5904,5299,7233,7188,6913,6342,6316,6264,6345,6480,5348,5458,4941,5016,5432,5824,4478,4918,2781,2875,3496,3467,2982,2930,3745,3655,1902,1759,2017,1909,2985,3011,3427,3359,3255,3306,3197,3629,2795,2553,2903,2972,5510,5294,4947,4826,6206,6426,7424,7202,5674,5701,5513,5403,4594,4976,5242,5568,6287,6247,6322,6438,4838,4541,4567,4731,1963,2018,2004,1950,3732,3688,3414,3388,3313,3850,2782,2877,3635,3417,3524,3469,3013,2986,3475,3279,1788,1965,1991,1910,5028,4783,5473,5681,4999,4921,5323,5183,6237,6788,6346,6736,6467,6536,7192,7204,3746,3630,3857,3504,2932,2554,3429,3259,5460,5514,4596,4942,6441,6914,6251,6324,4841,4922,5647,5702,5676,5301,5415,5405,6295,6353,6428,6792,4828,4542,5352,5244,2797,2993,3308,3736,3696,3659,3014,2803,2907,2988,3852,3777,1855,1971,1531,1913,5325,5302,5763,5682,5058,5032,4571,4949,4963,4733,5406,5705,5419,5474,5331,5521,5003,4583,4791,4842,7175,7297,6238,6348,3198,3314,3637,3470,2008,1775,1966,2020,3418,3528,2878,2959,2919,2687,3430,3477,6442,6544,6752,6496,4924,4849,5305,5516,3375,3641,3316,3667,2936,2527,3261,3638,3748,3433,3778,3661,2994,2798,3287,3858,5464,5706,4950,4953,6469,6677,6299,6354,1995,1914,1533,1973,3719,3420,3491,3478,5765,5713,5655,5360,5326,5215,4600,4895,3536,3752,3017,2556,2909,2805,3873,3434,6449,6691,6444,6253,4351,5060,5447,5684,5920,5522,5476,5427,7234,7680,6328,6678,3018,2967,3662,3481,2923,2910,3642,3860,5005,4815,4573,5011,5421,5537,4734,4844,5040,4965,5333,5688,4587,4795,5952,5708,6681,6259,6311,6369,6470,6450,7179,7208,3669,3644,2806,2996,3291,3383,3780,3670,4850,4954,5306,5766,5524,5347,4574,5064,6016,5714,5538,5422,5769,5891,4479,5006,1997,2024,1916,1974,3673,3723,3493,3864,3025,2971,3874,3683,3020,2809,3674,3482,3303,3760,2925,3000,1887,1783,2032,1534,6916,6301,6800,6473,6254,6261,6356,6315,3725,3320,2543,2751,3441,3262,3436,3726,7236,7298,6920,6474,6370,6693,6682,6531,5480,5659,5231,5451,4911,5072,4966,5013,2983,3026,3731,3407,3552,3387,3293,3442,6452,6360,7187,7181,6560,6415,6423,6302,4823,4589,5334,5429,4969,4797,5308,5569,3685,3494,3497,3523,3686,3615,3307,3484,5337,5528,5027,4852,5729,5716,5671,5770,7216,7182,6481,6694,4956,4595,5349,5279,6816,6262,6476,6723,5540,5430,5661,5893,2003,1977,1019,1021,2931,2810,3415,3444,2551,2973,3847,3389,3294,3498,2926,2783,6684,6533,6317,6265,4827,4919,5018,4970,3525,3309,3041,2933,3631,3905,3876,3784,5730,5777,5014,4598,5453,5239,5720,5459,6697,6343,6928,6323,5029,4839,5338,5488,2987,3042,3906,3733,1787,1998,1978,1903,6372,6482,6456,6848,4856,4977,5772,5350,3880,3851,3689,3676,2005,2006,1951,2019,7240,7425,6534,6318,5511,5433,5570,5662,5454,5353,4590,4798,6698,6725,7189,7300,5675,5894,5017,4597,6537,6427,6266,6592,5295,5243,5778,5732,5461,5897,4972,4943,3505,3792,3888,3908,3028,2974,2812,2989,6497,6705,7203,7426,6347,6207,6484,6538,3419,3969,3315,3734,1789,1980,1911,2009,5088,4543,5340,5434,4829,4923,5544,5515,5030,4978,5793,5703,5033,5059,5475,5407,6671,6726,6700,6325,5303,5354,5245,5677,3526,3390,3015,2934,3747,3690,2879,2995,3970,3853,3448,3500,3737,3808,2555,2937,4843,4601,4951,5020,5780,5736,5462,5436,2021,2010,1967,1915,3639,3912,3697,3310,6439,6429,6376,6268,5361,5898,4830,4925,3032,2799,3431,3529,2990,3044,3471,3859,6349,6326,6787,6706,5683,5465,5572,5517,3663,3750,3506,3749,2022,1790,1535,2012,6430,6729,7194,7681,6443,6498,7248,7205,5061,5034,5523,5327,5794,5678,5905,5552,4980,4602,5477,5307,6355,6545,6329,6540,3421,3317,3530,3738,3692,3435,3019,2938,3199,3263,3854,3479,3508,3698,2557,2997,7193,7190,6488,6730,6789,6737,6679,6384,4845,5041,5356,5784,5744,5707,5062,4851,6350,6239,6471,6708,6944,6546,7304,7428,3021,3048,3643,3537,3753,3318,3779,3422,4955,5036,5900,5825,5246,5362,5685,5518,5466,5576,4926,5007,4967,4735,5478,5525,2940,2998,3671,3740,3862,3532,3321,3754,5423,5689,5364,5715,6500,6451,6445,6561,7432,7206,6357,6712,4984,4575,5309,5686,6976,6732,6330,6790,5796,5481,5826,5709,2025,1975,1022,1023,2911,2807,3056,2558,5042,4846,5335,5906,5767,5468,5539,5526,3645,3483,3875,3861,3781,3437,3512,3700,6548,6371,7040,6738,5584,5800,5065,4604,6562,6446,7682,7264,6793,6915,6504,6683,3761,3446,3495,3538,3027,3001,3865,3322,3443,3553,3646,3485,2026,1917,1999,1918,4957,4853,5921,5482,5066,5015,5710,5529,7235,7209,7312,7196,6255,6475,6358,6453,4971,4958,5690,5908,6332,6593,6361,6552,5717,5692,4854,5044,6753,6740,6695,6794,2811,3022,3675,3438,3540,3727,3002,2927,3972,3877,3029,3030,3687,3756,3782,3501,5339,5431,5828,5718,5721,5771,5541,5912,7237,7210,6373,6303,5073,5019,5922,5731,5068,4857,5722,5530,6564,6454,7684,7217,3866,3324,2975,3043,3445,3677,3920,3762,6685,6917,7242,7440,6754,6801,6477,6263,6744,6483,6362,6512,5351,5808,4973,5048,6796,6374,6535,6457,5773,5368,4591,4799,2033,1979,2028,2034,3785,3704,3554,3878,5489,5310,5484,5774,5031,5074,5779,5455,5600,5435,5341,5490,5733,5542,5545,5571,6594,6686,7328,7688,6478,6377,6699,6918,6319,6267,6802,6756,7456,7696,6485,6921,3499,3976,3486,3295,3735,3764,3907,3691,3544,3527,3868,3881,2813,3004,3786,3793,5734,5663,5355,5532,6364,6458,7360,7712,3909,3788,3936,3882,2935,3033,3678,3984,4979,4858,5463,5492,6568,6539,6817,6727,3794,3768,3449,3507,3045,3034,3889,3391,4599,5021,5895,5437,5342,5546,4974,4831,7238,7212,6499,6431,5573,5357,5089,4981,1981,2007,1982,2011,3693,3884,3556,3502,6327,6378,7299,7249,5679,5953,5924,5832,6269,6701,6804,6760,5035,5090,5954,5781,7218,7241,7183,7488,5928,5899,5737,5724,6486,6460,6385,6922,6707,6489,6596,6541,3910,3739,2991,2939,3560,3311,3450,3531,5553,5840,5936,5956,5076,5022,4860,5037,3694,3699,3509,3452,3890,3533,3046,2814,5467,6017,5363,5782,7301,7220,7191,7302,6547,6351,6818,6702,6929,6576,6501,6331,3568,3741,2559,3036,3751,3796,3913,3701,6380,6808,6768,6731,5574,5438,5063,4982,3423,3539,3510,3809,2036,2023,2040,1791,7552,7244,6924,6849,5795,5738,4927,5043,6018,5901,5496,5548,6270,6386,6709,6542,3323,3534,3514,3513,3049,2999,3541,3319,5785,5856,4603,4985,5687,5960,5745,5358,5080,4847,5479,5577,5038,5092,5519,5907,7305,7250,6490,6600,6502,6549,7224,7195,5711,5798,5554,5797,7265,7207,6447,6713,6388,6739,6333,6710,5469,5365,5578,5786,5740,5483,5067,4986,6820,6505,6850,6733,5247,5311,5902,5527,6359,6930,6791,6492,3755,3914,3810,3971,3742,3855,3921,3892,6563,6550,6608,6824,6945,6506,7427,7252,3800,4000,3863,3439,3050,2941,3973,3702,6734,6553,7306,7313,7429,7197,6714,6932,5556,5746,4605,5045,5069,5096,5691,5585,3757,3916,3705,3783,2013,2027,2014,2029,5801,5366,5827,5470,4988,5046,5719,5788,3325,3763,3023,2942,3896,3974,3758,3812,5910,5580,5369,5802,6741,6716,6363,6455,7211,7266,7683,7256,6852,6742,6745,6795,3922,3447,3516,3542,3555,3487,3557,3977,4959,4855,5104,4606,6565,6936,6946,6755,5693,5531,5923,5909,5829,5485,5560,5748,7308,7198,6746,6554,5809,5494,5543,5586,7314,7239,6375,6832,6797,6392,6513,6334,5075,5049,5913,5370,5491,5601,5694,5533,3057,3003,3867,3545,3706,3816,3924,4032,3937,3765,3869,3978,3787,3879,3052,3058,6508,6798,6803,6479,7430,7433,6624,6459,6365,6514,7329,7744,4859,5070,5723,5486,7213,7268,6757,6566,5588,5775,5050,4975,1983,2035,2037,1919,3546,3708,3005,3031,6569,6595,7808,7219,6020,5925,5077,5078,3766,3326,3789,3647,3985,3870,3006,3035,6758,6687,6379,6556,6487,6516,7316,7214,5735,5804,5830,5549,6919,6461,6366,6570,5914,5372,5023,5091,5493,5725,5968,5810,3883,3451,3769,3503,3679,3561,3938,3795,5833,5752,5602,5926,7243,7434,6597,6381,5547,6024,5534,5343,6703,6977,6948,6856,3060,3047,3558,3980,3790,3885,3548,3928,7441,7685,7272,7330,5783,5812,5955,5739,3911,3797,3064,2815,3770,3986,3824,3940,5592,5575,5916,5929,6978,6805,6952,6923,7221,7361,6761,6748,7320,7245,6577,6864,4861,5052,5834,5841,6960,6980,6491,7041,7332,7936,7436,7442,6387,6806,6598,6462,5957,5836,5984,5930,4983,5081,5726,6032,5842,5816,5497,5555,6819,6762,7686,7222,3891,3886,3511,4001,3562,3695,3743,3811,7042,6925,6520,6572,7251,7225,6809,6880,5093,5082,5937,5439,5741,5932,5604,5550,5958,5787,5039,4987,6711,6984,6769,6382,3988,3535,3915,3453,3037,3051,3569,4002,3893,3798,4033,3944,3564,3703,3801,3772,7689,7280,7303,7246,5608,5359,5498,5579,6503,6601,7457,7362,6543,6931,6735,6822,7253,7444,6578,6821,5742,5747,5557,5500,3515,3813,3038,3053,3917,3992,3454,3894,5938,5581,5094,4862,6493,6389,6602,6810,6764,6507,6271,6335,6926,6551,7690,7226,5616,5789,4607,5084,5799,5844,5961,5749,3923,3802,3570,3952,3814,3517,3543,3707,3007,3059,4004,3759,3975,3897,3572,3918,7336,7307,6580,6770,5471,5587,5558,5857,5371,5582,5562,5561,6715,6609,7267,7254,5097,5047,5589,5367,6825,6390,6851,6494,5803,5962,5858,6019,7228,7448,6743,6812,6934,6604,7257,7458,5790,5903,5969,5940,6393,6826,6717,6555,6947,6933,6853,6509,3817,3898,3804,3518,4034,4008,3547,3925,7697,7692,7364,7309,5848,6048,5911,5487,6584,6772,6833,6518,6567,6610,6937,6394,5098,4989,6021,5750,5805,5964,5753,5831,3939,3709,3979,3559,3061,2943,3767,3818,5373,5811,5071,4990,7269,7315,7344,7310,5944,6022,5806,5860,7698,7489,7199,7368,3900,3825,3926,3929,3576,3871,3327,4036,6515,6625,6718,6557,5970,5495,5564,5590,3981,3791,3549,3987,3710,3820,3054,3062,7258,7713,7460,7490,6747,6510,6612,6799,5603,5535,5605,6025,7044,6949,6759,6828,7700,7431,6854,6573,7317,7270,6938,6396,4016,3941,3563,3771,2030,2038,2041,2042,5105,5051,5915,5593,5754,5864,5972,6080,7273,7472,6517,6749,5985,5813,5917,6026,6992,6834,6857,6776,7464,7331,6626,6950,5835,5927,5100,5106,7260,7215,6571,7048,5594,5756,5053,5079,7435,7553,6558,6367,6807,6836,7714,7492,6979,6763,7376,7554,6616,6599,6940,6953,5814,5374,5837,5695,7318,7321,7333,7274,6033,5918,5054,5083,6858,6865,6981,6860,7008,6954,6750,7056,7223,7496,6866,6840,5931,5499,5817,5551,3826,3930,3550,4040,3455,3982,3887,4048,5727,5609,5986,5843,6521,6579,6961,6463,5108,5095,5606,6028,7704,7745,6765,6956,5838,5933,5596,5976,7716,7281,6628,6574,3942,3989,3065,3066,3799,3565,3945,3773,5959,5845,5112,4863,7322,7247,7437,7276,6982,6811,6632,6383,6522,6603,7746,7392,5818,6034,5872,5988,5939,5934,5559,6049,4003,3828,3932,3571,3803,3895,3994,3946,7334,7687,7720,7363,6766,6771,6581,6524,7438,7809,7691,7443,5610,5743,5791,5859,6962,6605,6640,6813,6823,6868,6985,6773,6036,5583,5963,5501,6495,6611,7748,7459,3990,3574,4005,3815,3039,3068,3832,3953,7227,7337,6582,6881,7728,7282,6395,6606,5085,5099,5617,6050,6586,6585,6613,6391,5941,5846,6081,5992,7445,7324,6827,6986,7255,7365,7284,7338,5612,5751,5849,5820,5563,5861,5086,5101,6882,7043,6814,6927,3566,3774,3993,3573,3948,3919,4064,3519,7229,7699,7693,7810,6993,6964,7449,7446,3805,3899,4006,3954,4009,4035,3819,3577,6872,7072,7694,7345,5965,6040,5502,5942,5971,5850,5618,6000,6935,6511,7045,6774,7461,7556,6829,6988,6777,6855,7259,7752,5862,5565,5591,5755,7937,7366,7340,7288,7369,7504,6397,6835,7230,7450,6968,7046,5055,5107,6052,5807,6830,6884,6994,6519,3927,3996,3806,3901,4037,4010,3956,3578,6588,6614,6627,6559,7311,7271,7346,7462,7261,7812,7370,7760,6023,5945,5620,5966,5865,5946,5852,5566,6629,7049,7491,7560,6082,6056,5595,5973,6939,6617,7465,7938,5987,5757,6027,5607,6778,6888,6996,7104,7275,7348,7009,6837,5109,4991,5815,5866,7319,7377,6941,7050,7452,7816,6859,6951,3821,4017,4038,3827,3931,4012,3902,3983,7262,7372,6618,6780,7466,7568,7776,7520,5948,5873,5974,5977,6838,6398,6861,6719,5624,5919,5375,6084,7057,6942,7493,7701,7323,7378,7473,7715,6029,5839,5597,6035,3943,3711,3960,3551,4018,3822,4041,3580,7468,7277,6955,6523,5758,5868,5102,5110,7352,7702,6841,6575,6751,6633,7705,7283,6064,5989,5611,5819,7010,6867,6630,7052,6862,6957,6620,7000,7335,7393,7494,7474,6983,6869,7940,7325,7824,7497,6842,7058,6896,7012,7278,7285,6963,6958,7380,7339,3933,3829,4042,3991,2015,2044,2031,2039,5874,5978,5598,6088,7944,7498,7394,7717,5503,6030,5935,6096,7706,7555,7476,7384,6583,7073,6634,6767,5990,6037,5113,5114,6815,6883,7060,6607,5847,5613,5993,5821,6987,6525,7584,7439,7447,7326,7505,7718,6051,5876,5980,5619,6641,7074,7840,7286,3947,3934,3830,4020,4049,3995,4044,3833,6965,6870,7105,7016,7500,7747,6636,6775,3949,4024,3567,3775,4007,4050,3055,3063,7708,7557,7341,7289,6873,6844,6587,6885,5851,5943,6042,5994,6038,5622,6053,5863,7721,7367,7952,7347,7396,7506,6989,7064,3955,3834,3575,3997,3950,3807,4065,3957,7480,7872,6526,6966,5087,5116,5880,6001,7558,7342,6995,6874,5614,5822,6041,5621,7722,7749,7561,7451,6642,7024,7290,7616,6886,6589,6615,6779,5996,5967,6112,5567,4011,4066,4052,3998,3836,4013,4039,3958,7076,6831,7521,7729,7047,6969,7371,7231,5853,5947,6054,6002,7508,7562,6644,6990,6057,6083,5867,5625,6889,6970,7695,7750,7724,7349,7463,7453,6876,6590,7400,7292,3903,4019,3579,3961,4056,3823,4014,4068,7373,7350,7811,7730,7106,7080,6619,6997,7011,6781,7454,7753,5975,6044,5854,5949,7467,7522,7379,7569,7051,6631,6839,6890,6972,6897,7353,7564,6085,6058,6004,5626,5869,6065,6086,5875,7512,7754,6998,7001,7813,7761,7703,7408,7374,7263,6648,6943,5979,6060,5950,6031,6399,7108,7495,7732,7968,7570,7524,7475,7053,6863,6621,7059,4043,3962,3581,4021,2043,2045,2046,2047,5991,5759,6008,5599,6066,5870,6089,5628,7469,7585,6782,6892,7088,7013,7381,7736,6635,6843,8000,7756,6898,7002,7354,7814,7572,7395,6622,7112,8064,7762,7586,7470,5981,5877,6090,6039,7817,7939,6527,7054,7528,7707,7279,7499,6959,7120,7014,7061,4045,4072,3964,4022,3935,3831,4080,3582,5995,5982,5878,6068,6871,6637,7382,7477,7017,6845,7356,7617,6097,6043,6092,5881,7385,7576,7075,6900,5997,6072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序列组二:Z2_8192
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序列组二:Q2_16384
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441,8874,8765,8603,8995,8981,8901,8557,10380,10270,10386,10311,3717,3665,3607,3312,3278,3167,2552,2847,1883,1964,1854,1935,2303,3012,3399,3636,3872,3474,3428,3379,2957,2767,2525,2963,5227,5300,4961,4789,5271,5329,4893,5002,6352,6530,6294,6297,6309,6250,6199,6472,5404,5768,4811,4903,5214,5324,4570,4732,9745,9740,9412,9357,8632,8820,8881,8566,10502,10505,10401,10816,10285,10340,10880,10291,8615,8658,8985,8442,9317,9363,9392,9358,13312,13313,12448,12808,12576,12816,12480,12832,1895,1663,1912,1503,1970,1774,1993,1532,5418,5520,5728,5472,4790,4350,4813,4671,3373,3489,2686,2796,2992,2917,3285,3640,2539,2747,3904,3660,2802,2906,3258,3718,9746,9537,9247,9416,8563,8673,8766,8605,9306,9761,9508,9538,8795,8558,8660,8847,6680,6721,6692,6257,5009,4894,5445,5653,3476,3299,2526,3016,3968,3666,3490,3374,10388,10286,10315,10506,9092,8997,8807,8876,9748,9479,8902,8621,10513,10757,10344,10402,6298,6223,7185,7178,5275,5330,5425,5667,5420,5229,4907,4475,5304,5654,4793,4527,1885,1781,1994,1943,3721,3843,2431,2958,3432,3611,3183,3403,2863,3024,2918,2965,4703,4585,5657,5235,4962,4819,4582,5004,6413,6252,6722,6368,4814,4909,4572,4952,12358,12332,12419,12369,12338,12361,12303,12608,9365,9318,8986,8444,11272,11280,10293,10433,9321,9520,8565,8797,9040,8882,8905,8824,9512,9379,8674,8998,9308,9263,8619,9096,5287,5345,5446,5426,6310,6663,6696,6339,1899,1886,1782,1972,2775,2541,3286,3381,6414,6785,6667,6419,4935,4821,5892,5277,2921,2749,3260,3521,2001,1947,1996,1785,5776,5449,4794,5010,6724,6435,7186,7296,3289,3480,2979,2804,1901,1976,1519,1727,9483,9601,8606,8415,8855,8884,9762,9540,12421,12340,12311,12422,12672,12364,12425,12370,4848,4964,5230,5237,4915,4910,5332,5291,5896,5450,5346,5669,6203,6313,6704,6258,3681,3668,3623,3722,2908,2547,3301,3231,5658,5507,5428,5336,4535,5025,4586,4719,9027,8811,9424,9602,10392,10317,10404,11008,8664,8647,8988,9001,9366,9369,9381,9322,3492,3382,3613,3845,1959,2002,1007,1015,2779,2871,2970,2922,3682,3729,2966,2550,3405,3191,3672,3411,2981,2791,3290,3440,6421,6300,6231,6341,4767,4835,5012,4559,2808,2929,3724,3302,3463,3385,3522,3614,4939,4477,5536,5391,5399,5278,5457,5670,8906,8913,9029,8908,9056,9002,8798,9104,10508,10514,10758,10294,9271,9544,8914,8888,8569,8627,9009,8511,10323,10297,10761,10352,12344,12315,12385,12327,12547,12372,12426,12433,6260,6314,6205,6675,6669,6786,7180,7201,3406,3305,2542,2750,3627,3846,2969,2549,9752,9793,8813,9004,9764,9329,8676,8622,10375,10318,10529,10434,9370,9295,9485,9324,3247,3195,3730,3684,3413,3849,2924,2895,4593,5026,5792,5238,4917,4822,5057,4968,6425,6422,6670,6321,5452,5699,4588,4727,6437,6532,6235,6728,5660,5509,5293,5241,9030,8859,8680,8431,10325,10516,10762,10298,8570,8651,9794,9440,9382,9735,9768,9411,1907,1786,1527,1949,3040,2495,3292,3386,4825,4796,4539,4837,5673,5319,5904,5299,7233,7188,6913,6342,6316,6264,6345,6480,5348,5458,4941,5016,5432,5824,4478,4918,2781,2875,3496,3467,2982,2930,3745,3655,1902,1759,2017,1909,2985,3011,3427,3359,3255,3306,3197,3629,2795,2553,2903,2972,5510,5294,4947,4826,6206,6426,7424,7202,5674,5701,5513,5403,4594,4976,5242,5568,6287,6247,6322,6438,4838,4541,4567,4731,1963,2018,2004,1950,3732,3688,3414,3388,3313,3850,2782,2877,3635,3417,3524,3469,12549,12317,13314,13316,12331,12386,12803,12376,11296,11267,10408,10379,10339,10326,10300,10520,8814,8819,8629,8572,9486,9857,9739,9491,9010,8653,8688,8861,8871,8916,9033,8821,3013,2986,3475,3279,1788,1965,1991,1910,5028,4783,5473,5681,4999,4921,5323,5183,6237,6788,6346,6736,6467,6536,7192,7204,3746,3630,3857,3504,2932,2554,3429,3259,10329,10530,10769,10764,10436,10381,10341,10387,8543,8659,9796,9507,9275,9385,8630,8929,5460,5514,4596,4942,6441,6914,6251,6324,4841,4922,5647,5702,5676,5301,5415,5405,6295,6353,6428,6792,4828,4542,5352,5244,2797,2993,3308,3736,3696,3659,3014,2803,9776,9330,8443,8654,8634,8633,8661,8439,9493,9372,8875,9034,9303,9413,9332,9386,2907,2988,3852,3777,1855,1971,1531,1913,5325,5302,5763,5682,5058,5032,4571,4949,4963,4733,5406,5705,5419,5474,5331,5521,5003,4583,4791,4842,7175,7297,6238,6348,12428,12318,12434,12359,12550,12553,12449,12864,11269,11328,10416,10382,8930,9091,8862,8975,3198,3314,3637,3470,2008,1775,1966,2020,3418,3528,2878,2959,2919,2687,3430,3477,6442,6544,6752,6496,4924,4849,5305,5516,3375,3641,3316,3667,2936,2527,3261,3638,3748,3433,3778,3661,2994,2798,3287,3858,5464,5706,4950,4953,6469,6677,6299,6354,1995,1914,1533,1973,3719,3420,3491,3478,5765,5713,5655,5360,5326,5215,4600,4895,9277,9747,9741,9858,9041,9012,9497,9494,10770,10561,10271,10440,8920,9120,9742,9393,8983,8559,9093,8822,10330,10785,10532,10562,12333,12388,12928,12339,12436,12334,12363,12554,3536,3752,3017,2556,2909,2805,3873,3434,6449,6691,6444,6253,4351,5060,5447,5684,5920,5522,5476,5427,7234,7680,6328,6678,3018,2967,3662,3481,2923,2910,3642,3860,5005,4815,4573,5011,5421,5537,4734,4844,5040,4965,5333,5688,4587,4795,5952,5708,6681,6259,6311,6369,6470,6450,7179,7208,3669,3644,2806,2996,3291,3383,3780,3670,10772,10503,10389,10342,9509,9604,8877,9036,8825,8903,9307,9800,9985,9414,9388,9336,9417,9552,8445,8883,9278,9498,9016,9094,8878,8932,9042,8567,8636,8662,8675,8607,12561,12805,12392,12450,13320,13328,12341,12481,9359,9319,9394,9510,9309,9860,9418,9808,8677,9097,9539,9608,10345,10544,10536,10403,8987,8665,9513,9986,10332,10287,10507,10625,4850,4954,5306,5766,5524,5347,4574,5064,6016,5714,5538,5422,5769,5891,4479,5006,1997,2024,1916,1974,3673,3723,3493,3864,3025,2971,3874,3683,3020,2809,3674,3482,11273,11270,10786,10564,8826,8936,9044,9152,14336,14337,14338,14340,12440,12365,12452,13056,9323,9396,9057,8885,9367,9425,8989,9098,10448,10626,10390,10393,10405,10346,10295,10568,3303,3760,2925,3000,1887,1783,2032,1534,6916,6301,6800,6473,6254,6261,6356,6315,3725,3320,2543,2751,3441,3262,3436,3726,7236,7298,6920,6474,6370,6693,6682,6531,5480,5659,5231,5451,4911,5072,4966,5013,2983,3026,3731,3407,3552,3387,3293,3442,6452,6360,7187,7181,6560,6415,6423,6302,4823,4589,5334,5429,4969,4797,5308,5569,12556,12562,12806,12342,12371,12345,12809,12400,9500,9864,8907,8999,9310,9420,8666,8828,3685,3494,3497,3523,3686,3615,3307,3484,5337,5528,5027,4852,5729,5716,5671,5770,9514,9616,9824,9568,8886,8446,8909,8767,10776,10817,10788,10353,9105,8990,9541,9749,7216,7182,6481,6694,4956,4595,5349,5279,6816,6262,6476,6723,5540,5430,5661,5893,10394,10319,11281,11274,9371,9426,9521,9763,9516,9325,9003,8571,9400,9750,8889,8623,2003,1977,1019,1021,2931,2810,3415,3444,2551,2973,3847,3389,3294,3498,2926,2783,6684,6533,6317,6265,4827,4919,5018,4970,3525,3309,3041,2933,3631,3905,3876,3784,5730,5777,5014,4598,5453,5239,5720,5459,6697,6343,6928,6323,5029,4839,5338,5488,8799,8681,9753,9331,9058,8915,8678,9100,10509,10348,10818,10464,8910,9005,8668,9048,2987,3042,3906,3733,1787,1998,1978,1903,6372,6482,6456,6848,4856,4977,5772,5350,9383,9441,9542,9522,10406,10759,10792,10435,10510,10881,10763,10515,9031,8917,9988,9373,3880,3851,3689,3676,2005,2006,1951,2019,7240,7425,6534,6318,5511,5433,5570,5662,12423,12366,12577,12482,12373,12564,12810,12346,9872,9545,8890,9106,10820,10531,11282,11392,5454,5353,4590,4798,6698,6725,7189,7300,5675,5894,5017,4597,6537,6427,6266,6592,5295,5243,5778,5732,5461,5897,4972,4943,3505,3792,3888,3908,3028,2974,2812,2989,8944,9060,9326,9333,9011,9006,9428,9387,13344,13315,12456,12427,12387,12374,12348,12568,6497,6705,7203,7426,6347,6207,6484,6538,3419,3969,3315,3734,1789,1980,1911,2009,9992,9546,9442,9765,10299,10409,10800,10354,9754,9603,9524,9432,8631,9121,8682,8815,5088,4543,5340,5434,4829,4923,5544,5515,5030,4978,5793,5703,5033,5059,5475,5407,6671,6726,6700,6325,5303,5354,5245,5677,3526,3390,3015,2934,3747,3690,2879,2995,10517,10396,10327,10437,8863,8931,9108,8655,12377,12578,12817,12812,12484,12429,12389,12435,9035,8573,9632,9487,9495,9374,9553,9766,10356,10410,10301,10771,10765,10882,11276,11297,3970,3853,3448,3500,3737,3808,2555,2937,4843,4601,4951,5020,5780,5736,5462,5436,2021,2010,1967,1915,3639,3912,3697,3310,6439,6429,6376,6268,5361,5898,4830,4925,3032,2799,3431,3529,2990,3044,3471,3859,6349,6326,6787,6706,5683,5465,5572,5517,3663,3750,3506,3749,2022,1790,1535,2012,6430,6729,7194,7681,6443,6498,7248,7205,8689,9122,9888,9334,9013,8918,9153,9064,10521,10518,10766,10417,9548,9795,8684,8823,5061,5034,5523,5327,5794,5678,5905,5552,4980,4602,5477,5307,6355,6545,6329,6540,3421,3317,3530,3738,3692,3435,3019,2938,3199,3263,3854,3479,3508,3698,2557,2997,7193,7190,6488,6730,6789,6737,6679,6384,4845,5041,5356,5784,5744,5707,5062,4851,10533,10628,10331,10824,9756,9605,9389,9337,8921,8892,8635,8933,9769,9415,10000,9395,6350,6239,6471,6708,6944,6546,7304,7428,3021,3048,3643,3537,3753,3318,3779,3422,11329,11284,11009,10438,10412,10360,10441,10576,9444,9554,9037,9112,9528,9920,8574,9014,4955,5036,5900,5825,5246,5362,5685,5518,5466,5576,4926,5007,4967,4735,5478,5525,9606,9390,9043,8922,10302,10522,11520,11298,13317,13376,12464,12430,12818,12609,12319,12488,9770,9797,9609,9499,8690,9072,9338,9664,12378,12833,12580,12610,12820,12551,12437,12390,2940,2998,3671,3740,3862,3532,3321,3754,5423,5689,5364,5715,6500,6451,6445,6561,7432,7206,6357,6712,4984,4575,5309,5686,6976,6732,6330,6790,5796,5481,5826,5709,2025,1975,1022,1023,2911,2807,3056,2558,5042,4846,5335,5906,5767,5468,5539,5526,10383,10343,10418,10534,8934,8637,8663,8827,9124,8879,9569,9777,9095,9017,9419,9279,12393,12592,12584,12451,12380,12335,12555,12673,10333,10884,10442,10832,10563,10632,11288,11300,9556,9610,8692,9038,10537,11010,10347,10420,8937,9018,9743,9798,9772,9397,9511,9501,3645,3483,3875,3861,3781,3437,3512,3700,6548,6371,7040,6738,5584,5800,5065,4604,6562,6446,7682,7264,6793,6915,6504,6683,3761,3446,3495,3538,3027,3001,3865,3322,10391,10449,10524,10888,8924,8638,9448,9340,9421,9398,9859,9778,9154,9128,8667,9045,9059,8829,9502,9801,9515,9570,9427,9617,13321,13318,12834,12612,14344,14352,14368,14339,3443,3553,3646,3485,2026,1917,1999,1918,4957,4853,5921,5482,5066,5015,5710,5529,7235,7209,7312,7196,6255,6475,6358,6453,4971,4958,5690,5908,6332,6593,6361,6552,5717,5692,4854,5044,6753,6740,6695,6794,2811,3022,3675,3438,3540,3727,3002,2927,3972,3877,3029,3030,3687,3756,3782,3501,5339,5431,5828,5718,5721,5771,5541,5912,7237,7210,6373,6303,5073,5019,5922,5731,5068,4857,5722,5530,6564,6454,7684,7217,9099,8679,8887,8938,11271,11393,10334,10444,10538,10640,10848,10592,9020,8945,9401,9612,12496,12674,12438,12441,12453,12394,12343,12616,9560,9802,9046,9049,10565,10773,10395,10450,3866,3324,2975,3043,3445,3677,3920,3762,6685,6917,7242,7440,6754,6801,6477,6263,9861,9809,9751,9456,9422,9311,8696,8991,10545,10787,10540,10349,8447,9156,9543,9780,6744,6483,6362,6512,5351,5808,4973,5048,6796,6374,6535,6457,5773,5368,4591,4799,2033,1979,2028,2034,3785,3704,3554,3878,5489,5310,5484,5774,5031,5074,5779,5455,5600,5435,5341,5490,5733,5542,5545,5571,6594,6686,7328,7688,6478,6377,6699,6918,10016,9618,9572,9523,11330,11776,10424,10774,9101,8911,8669,9107,9517,9633,8830,8940,6319,6267,6802,6756,7456,7696,6485,6921,3499,3976,3486,3295,3735,3764,3907,3691,9136,9061,9429,9784,8683,8891,10048,9804,12824,12865,12836,12401,12442,12367,13329,13322,10777,10355,10407,10465,10566,10546,11275,11304,8946,9050,9402,9862,9620,9443,8670,9160,3544,3527,3868,3881,2813,3004,3786,3793,5734,5663,5355,5532,6364,6458,7360,7712,3909,3788,3936,3882,2935,3033,3678,3984,4979,4858,5463,5492,6568,6539,6817,6727,12557,12396,12866,12512,12454,12807,12840,12483,12558,12929,12811,12563,12868,12579,13330,13440,10112,9810,9634,9518,9865,9987,8575,9102,11012,10397,10896,10569,10350,10357,10452,10411,3794,3768,3449,3507,3045,3034,3889,3391,4599,5021,5895,5437,5342,5546,4974,4831,11332,11394,11016,10570,10466,10789,10778,10627,9576,9755,9327,9547,9007,9168,9062,9109,7238,7212,6499,6431,5573,5357,5089,4981,1981,2007,1982,2011,3693,3884,3556,3502,10548,10456,11283,11277,10656,10511,10519,10398,8919,8685,9430,9525,9065,8893,9404,9665,6327,6378,7299,7249,5679,5953,5924,5832,6269,6701,6804,6760,5035,5090,5954,5781,7218,7241,7183,7488,5928,5899,5737,5724,6486,6460,6385,6922,6707,6489,6596,6541,12347,12457,12848,12402,12565,12444,12375,12485,9433,9624,9123,8948,9825,9812,9767,9866,3910,3739,2991,2939,3560,3311,3450,3531,5553,5840,5936,5956,5076,5022,4860,5037,3694,3699,3509,3452,3890,3533,3046,2814,5467,6017,5363,5782,7301,7220,7191,7302,11312,11278,10577,10790,9052,8691,9445,9375,12404,12458,12349,12819,12813,12930,13324,13345,10912,10358,10572,10819,9636,9526,9757,9989,14341,14400,14345,14342,12569,12566,12814,12465,10780,10629,10413,10361,8923,9015,9114,9066,9826,9873,9110,8694,9549,9335,9816,9555,10793,10439,11024,10419,9125,8935,9434,9584,10468,10578,10552,10944,8952,9073,9868,9446,6547,6351,6818,6702,6929,6576,6501,6331,3568,3741,2559,3036,3751,3796,3913,3701,11336,11521,10630,10414,9607,9529,9666,9758,9550,9449,8686,8894,10794,10821,11285,11396,6380,6808,6768,6731,5574,5438,5063,4982,3423,3539,3510,3809,2036,2023,2040,1791,7552,7244,6924,6849,5795,5738,4927,5043,6018,5901,5496,5548,6270,6386,6709,6542,3323,3534,3514,3513,3049,2999,3541,3319,5785,5856,4603,4985,5687,5960,5745,5358,5080,4847,5479,5577,5038,5092,5519,5907,7305,7250,6490,6600,6502,6549,7224,7195,5711,5798,5554,5797,7265,7207,6447,6713,6388,6739,6333,6710,5469,5365,5578,5786,9771,9990,9113,8693,10633,10523,10362,10688,12581,12676,12379,12872,13377,13332,13057,12486,9391,9339,9874,9828,9557,9993,9068,9039,10593,10801,11299,11522,10443,10303,10580,10634,9184,8639,9436,9530,8925,9019,9640,9611,9126,9074,9889,9799,9129,9155,9571,9503,12460,12408,12489,12624,12350,12570,13568,13346,10767,10822,10796,10421,9399,9450,9341,9773,5740,5483,5067,4986,6820,6505,6850,6733,5247,5311,5902,5527,6359,6930,6791,6492,8939,8697,9047,9116,9876,9832,9558,9532,12431,12391,12466,12582,12381,12932,12490,12880,3755,3914,3810,3971,3742,3855,3921,3892,6563,6550,6608,6824,6945,6506,7427,7252,10535,10525,10472,10364,9457,9994,8926,9021,10445,10422,10883,10802,9779,9561,9668,9613,3800,4000,3863,3439,3050,2941,3973,3702,6734,6553,7306,7313,7429,7197,6714,6932,5556,5746,4605,5045,5069,5096,5691,5585,3757,3916,3705,3783,2013,2027,2014,2029,12611,12680,13336,13348,12585,13058,12395,12468,10526,10825,11290,11777,10539,10594,11344,11301,5801,5366,5827,5470,4988,5046,5719,5788,3325,3763,3023,2942,3896,3974,3758,3812,9157,9130,9619,9423,9890,9774,10001,9648,12439,12497,12572,12936,13319,13441,12382,12492,5910,5580,5369,5802,6741,6716,6363,6455,7211,7266,7683,7256,6852,6742,6745,6795,9076,8698,9573,9403,10451,10641,10425,10636,11289,11286,10584,10826,10885,10833,10775,10480,3922,3447,3516,3542,3555,3487,3557,3977,4959,4855,5104,4606,6565,6936,6946,6755,14353,14346,14354,14464,12586,12688,12896,12640,12613,12821,12443,12498,12593,12835,12588,12397,5693,5531,5923,5909,5829,5485,5560,5748,7308,7198,6746,6554,5809,5494,5543,5586,8941,9137,9452,9880,9840,9803,9158,8947,10446,10335,10567,10804,11040,10642,11400,11524,9051,9132,9996,9921,9342,9458,9781,9614,9562,9672,9022,9103,9063,8831,9574,9621,7314,7239,6375,6832,6797,6392,6513,6334,5075,5049,5913,5370,5491,5601,5694,5533,3057,3003,3867,3545,3706,3816,3924,4032,3937,3765,3869,3978,3787,3879,3052,3058,6508,6798,6803,6479,7430,7433,6624,6459,6365,6514,7329,7744,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序列组二:Z2_16384
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序列组三:Q3_2048
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序列组三:Z3_2048
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序列组三:Q3_4096
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序列组三:Z3_4096
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序列组三:Q3_8192
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,1948,5712,3283,4511,2743,6246,1758,5443,3473,4581,3257,6249,2794,5512,1853,5001,3468,7174,2876,5417,3416,4891,1020,5890,2801,6448,3658,4569,2902,5227,1989,6440,3717,4730,3665,5300,1962,6307,2905,4840,3607,5271,2552,4948,1908,6236,3312,5329,2847,5056,3278,6191,1530,5404,3167,4961,2303,6411,3399,5768,1773,4789,3012,6529,3636,5214,2957,4893,1969,5324,3872,6690,2767,5002,3474,5418,1990,6468,3428,4811,2525,5520,3379,7185,1779,4903,2963,5728,3373,4570,2686,6352,5472,1883,4732,3489,6530,3285,5445,2796,4790,1964,6294,3640,5653,2992,4350,3904,6297,1854,5275,2917,4813,3660,6309,3258,5330,1935,4671,2539,5425,3718,6250,2747,5009,1007,5667,3476,6199,4894,3299,5420,2802,7178,1895,4907,3968,5229,2906,6472,3666,4475,1663,5304,2526,6680,3490,4793,3374,5654,1912,4527,3016,6721,3721,4703,2431,4585,6692,1503,5657,3843,4962,2958,6257,3432,5235,1970,4819,3611,6298,2863,5287,3183,4582,1774,6223,3024,5345,3403,5004,3286,6413,5446,1993,4814,2918,5426,3381,7186,2965,4909,1532,5892,3260,6252,3521,4572,2775,5277,1885,6722,3289,4952,5776,2541,6368,3480,4935,1781,5449,2921,6310,3681,4821,3668,5230,1994,6663,2749,4794,3623,5237,6696,2979,5010,3722,5332,1943,6339,3301,4848,2804,5291,3231,7296,1015,4964,2908,5896,3492,6414,4915,3382,5450,1899,6785,2547,4910,3613,5346,2779,4535,1886,6667,3845,5669,5025,3682,6419,2871,5658,3729,4586,1782,6724,2970,5507,3405,4719,3191,6435,1972,5428,4767,2922,6203,3672,5336,2966,4835,2001,7180,3411,5536,3290,5012,2550,6313,5391,1947,4559,3440,6704,2981,5399,3724,4939,3302,6258,1996,5278,4477,2791,6421,3463,5457,3385,4593,1785,6300,2808,5670,3522,5026,6231,2929,5792,1901,4917,3614,6341,3406,5238,2542,4822,3305,7201,5452,1976,5699,2750,6260,3627,5057,3846,6314,1519,5660,2969,4968,6205,3247,5509,2549,4588,3195,6675,1727,5293,3730,4727,6669,2924,5241,3684,4825,1959,6786,3413,5673,2895,4796,3849,6425,5319,3040,4539,2002,7233,3292,5904,3386,4837,2495,6422,5299,1019,4941,3496,6670,3467,5348,2781,5016,6321,3745,5458,1907,4478,2875,6437,3655,5432,3427,4918,6532,1786,5824,2982,6235,3359,5510,3255,4947,2930,7188,5294,1527,4826,3306,6728,2985,5674,3197,4594,6913,1949,5701,3629,4976,3011,6342,3732,5513,3688,4838,6316,1902,5403,2795,4541,3414,6264,2553,5242,6345,3388,4567,1759,5568,3313,6480,2903,5473,4731,3850,7424,2017,5681,3635,5028,2972,6206,5323,3417,4783,2782,6426,1909,5183,3524,4999,6287,3469,5460,2877,6247,3475,4921,1963,5514,6322,3279,4596,3013,5647,3746,6438,2018,5702,4942,3630,7202,2986,5676,3857,4841,3504,6237,5301,2004,6788,2932,4922,3429,5415,6346,2554,4828,3259,5405,1950,6736,3308,4542,5352,2797,6467,3736,5244,3696,7192,5058,1788,5325,2993,6536,3659,5032,3852,5302,6441,3014,4571,1965,5763,3777,6914,4949,3198,6251,2803,5682,3314,4963,1991,6324,5406,2907,5705,3637,6295,3470,4733,5419,2988,7204,1021,5003,3418,6353,5474,3528,4583,2878,6428,1910,5331,4791,3430,6792,3477,5521,2959,6238,3375,5305,4842,1855,6348,3641,5516,2919,4924,6442,3316,5464,3667,7175,1971,4849,5706,2687,6544,3261,4950,3638,5765,6752,2936,5713,1531,6496,3748,4953,5655,3433,6469,2527,4600,3778,5360,6677,1913,4895,3661,7297,2994,5326,5215,3287,6299,2798,4351,5447,3858,6354,2008,5060,3719,6449,5684,3017,5005,3420,6691,3491,5920,4815,1775,6444,2556,5522,3478,7234,5476,3536,4573,2909,6253,5427,1966,5011,3752,6328,3873,5421,6678,2805,4734,3434,5537,2020,6681,5333,3662,6259,3018,4844,5688,3481,6311,3642,5040,1995,5952,7680,2967,4965,3860,6369,3669,5708,5306,3644,6470,2923,4587,6450,1914,5766,3291,4795,3383,6916,5524,2910,5347,3780,6301,4850,1533,7179,3670,6016,2806,4954,6800,3673,5714,3723,6473,4574,1973,5538,2996,6254,5422,3493,5064,3864,6261,3025,5769,6356,3874,4479,1997,5891,7208,3683,5006,2971,6315,3674,5480,5659,3482,6920,2024,4911,6474,3020,5231,3303,5072,6370,3760,5451,2809,6693,5334,1916,4966,3725,7236,3320,5429,6682,2925,5013,3441,5308,6531,3262,5569,1974,6452,4823,3436,5337,3000,6360,4589,3726,7298,3731,5528,4969,1887,6560,2543,5729,3407,6415,5716,3552,4797,2751,6423,5671,3387,6302,1783,5027,5770,3293,6481,2983,5349,7187,3442,4852,3685,5279,6694,3026,4956,1022,6816,5540,3494,5430,3497,6262,4595,3523,6476,2931,5661,4827,2032,6723,3686,5893,7181,3615,5730,2810,4919,6684,3307,5777,3484,6533,5018,1534,5453,2551,6317,5239,3415,6265,3444,4970,5720,2973,7216,3847,5014,6697,2003,5459,3389,6343,5338,3294,4598,2926,6928,5488,3498,6323,3525,5029,5772,1977,7182,2783,5350,6372,3309,4839,3631,5511,6482,3905,5433,1787,6456,4856,3041,6848,5570,3876,4977,3784,6534,5662,2933,7240,3906,5454,4590,1998,6318,3733,5353,6698,2987,4798,3880,6725,5675,3851,5894,6537,3689,5017,1978,7425,5295,3042,4597,3676,6427,5243,3505,6266,3028,5778,6592,3792,4972,1903,5732,6497,3888,5461,7189,3908,4943,2974,5897,6705,3419,5088,3969,6347,5340,2005,6207,5434,2812,4543,3315,6484,5544,3734,7300,3526,5515,6538,2989,4829,5793,2006,6671,3390,4923,6726,3747,5703,3015,6700,5475,3690,5030,6325,3970,5407,1951,7203,5303,3853,6439,2934,4978,5354,3448,6429,5033,3500,6376,2879,5245,6268,3737,5677,2019,5059,7426,3808,5780,6349,3639,5736,2995,6326,4843,3912,5462,6787,3697,4601,1789,6706,5436,2555,7194,5361,3310,4951,3431,6430,5898,3529,6729,5683,2937,6443,1980,5020,7681,3471,5465,4830,3859,6498,3663,5572,6355,3032,5517,6545,3750,4925,3506,5523,6329,1911,5327,7248,2799,5061,3749,6540,5794,3421,6488,5678,3317,5034,2990,6730,5905,2009,6789,5552,3530,7205,3738,4980,5477,3692,6737,4602,3044,6679,3435,5307,6384,3199,5356,6350,2021,4845,3263,5784,7193,3019,5744,6239,3854,5041,6471,3479,5707,2938,6708,5900,2010,5062,7190,3508,5825,3698,6944,5246,3643,6546,4851,2557,6500,5362,3537,4955,3753,6451,5685,1967,7304,5518,3318,6445,5036,2997,6561,3779,5466,6357,3422,5576,4926,3671,6712,5478,3021,7428,1915,5525,6976,3740,5007,6732,3862,5423,5689,3532,6330,3048,4967,7432,3321,5364,6790,3754,5715,6548,2022,4735,3645,6371,5309,2940,5686,7040,3483,4984,7206,3875,5796,6738,3861,5481,1790,6562,4575,2998,6446,5826,3781,7682,5709,3437,5042,3512,6793,5335,2911,6915,4846,3700,6504,5906,1535,6683,5767,3761,7264,3446,5065,6255,2807,5468,5539,3495,6475,4604,3538,6358,5526,3865,7235,5584,3056,6453,1023,4957,6332,3322,5800,6593,3443,5921,4853,3553,7209,5482,2558,6361,5710,3646,6552,3485,5066,6753,2012,5529,6740,3675,5690,7312,3027,5015,6695,3438,5908,5717,3540,6794,3727,5692,6373,3001,4971,7196,2025,5339,6303,3972,5431,6564,3877,4958,6454,3687,5828,7237,2811,5718,6685,3756,4854,3782,5721,6917,1975,5771,6754,3501,5044,7210,3022,5541,6801,3866,5912,6477,3324,5073,6263,3445,5922,7684,3677,5731,6744,3002,5019,6483,2026,5722,3920,6362,5530,3762,5068,7217,3785,5351,6512,2927,5808,6796,3704,4857,6374,3554,5773,7242,1917,5368,6535,3878,4973,6457,3029,5489,6594,3499,5310,7440,3976,5484,6686,3486,5048,6478,3030,5774,6377,3295,5779,1999,4591,7328,3735,5455,6699,3764,5600,6918,3907,4799,6319,2975,5435,7688,3691,5341,6267,3544,5031,6802,3527,5490,6756,1918,5733,7456,3043,5074,6485,3868,5542,6921,3881,5545,6364,3786,5571,7696,3793,4979,6458,2813,5734,6568,3909,5663,6539,2033,4858,7360,3788,5355,6817,3936,5532,6727,3004,4599,6499,3882,5463,7712,3678,5492,6431,3984,5021,6327,3794,5895,6378,1979,5437,7238,2935,5342,6269,3768,4974,6701,3449,5546,6804,5573,3507,7212,4831,3889,6760,5357,3033,6486,5679,3391,6460,5953,2028,7299,5089,3693,6385,5924,3884,6922,5832,3045,7249,4981,3556,6707,5954,3502,6489,5781,3910,6596,5035,3739,7218,5928,2034,6541,5899,3034,6547,5737,6351,3560,5090,7241,3311,5724,6818,3450,5553,6702,3531,5076,7183,2991,5840,6929,3694,5936,6576,1981,5956,6501,3699,5022,7488,3509,5467,6331,6017,3452,6380,4860,2939,6808,5363,3890,7301,5782,3533,6768,5574,3568,6731,5037,3741,7220,5438,2007,6924,5795,6849,3046,5063,6270,3751,5738,7191,3796,6018,6386,3913,5901,6709,2814,4982,5496,3701,5548,7302,4927,3423,6542,5785,3539,6490,5856,1982,6600,5687,3510,7552,5043,2559,6502,5960,6549,3809,5745,7244,3323,4603,6447,3534,5358,6713,3514,5479,6388,3513,5577,7305,4985,2011,6739,5519,3036,6333,5907,3541,7250,5711,3319,6710,5080,3755,6820,5798,6505,3914,5554,7224,3049,4847,6850,3810,5797,6733,3971,5469,7195,5365,3742,6359,5038,2036,6930,5578,3855,6791,5786,2999,7265,5740,6492,3921,5092,6563,3892,5483,7207,3800,5247,6550,5311,4000,6608,5067,3050,6824,5902,3863,7427,5527,2023,6945,4986,6506,3439,5556,7252,3973,5746,6734,3702,5691,6553,4605,3757,7306,5585,2941,6714,5801,3916,6932,5366,6741,3705,5045,7313,3783,5827,6716,2040,5470,6363,5719,3325,7429,5069,3023,6455,5788,3763,6852,5910,7197,3896,5580,6742,3974,5096,6745,5369,3758,7211,5802,2942,6795,5693,3812,6565,4988,6936,3922,5531,7266,1791,5923,6946,3447,5909,6755,5046,3516,7683,5829,3542,6746,5485,6554,3057,5560,7256,3555,4959,6375,3487,6832,5748,7308,3557,5809,6797,3977,5494,6392,4855,3867,7198,5543,2013,6513,5586,6334,3003,5913,6508,3545,5104,7314,3706,5370,6798,5491,3816,6803,5601,3924,7239,4606,6479,4032,5694,6624,3052,7430,5533,6459,3937,5723,6365,3765,5075,7433,5486,2027,6514,5588,3869,6757,5775,7329,3978,5049,6566,3058,6020,6569,5925,3787,7744,5735,3879,6595,6758,4859,3546,7213,5804,3708,6687,5830,6379,3766,5549,7268,3005,5070,6556,5914,2014,6487,5372,3326,6516,5493,7808,3789,6919,5725,6461,3647,5050,7219,3985,5968,6366,5810,3870,6570,5833,3031,7316,4975,6597,3883,5752,6381,3451,7214,5602,6703,3769,5926,6977,5077,3503,7243,5547,2029,6948,6024,6856,3679,5534,7434,3561,6978,5078,6805,3006,5343,7441,5783,3938,6952,5812,3795,6923,5955,7685,3558,5023,6761,3980,7272,5739,6748,3790,5592,6577,5575,3035,7330,5091,3885,6864,5916,6960,1983,5929,7221,6980,3548,5834,6491,3928,5841,7361,4861,3911,7041,5957,6387,3797,7320,5836,3060,6806,5984,6598,3770,5052,7245,5930,3986,6462,5726,6819,3824,7332,6032,3940,6762,5842,7042,3891,4983,7936,5816,2035,6925,5497,3886,6520,7436,5555,3047,6572,5937,7442,3511,5081,6809,5439,4001,6880,7686,5741,3562,6711,5932,3695,6984,5093,7222,3743,5604,6769,6382,3811,5550,7251,5958,3064,6503,5787,3988,6601,5082,7225,3535,6543,5608,6931,2037,5359,7689,5498,3915,6735,7280,5579,3453,6822,5039,3569,6578,5742,7303,2815,5747,6821,6493,4002,5557,7246,5500,3893,6389,4987,6602,3798,7457,5938,6810,4033,5581,7362,5616,3944,6764,5789,3564,6507,7253,5094,3703,6271,5799,6335,1919,5844,7444,6926,3037,5961,7690,4862,3801,6551,5749,6580,3772,7226,5471,6770,3515,5587,6715,5558,3813,7336,6609,4607,3917,7307,5857,6825,3992,5371,6390,7267,3051,5582,6851,5562,3454,6494,5561,7254,3894,6743,5084,7228,3923,5589,6812,5367,3802,6934,7448,5803,2030,6604,5962,6393,3570,7257,5097,6826,3952,5858,7458,6019,3038,6717,6555,5790,3814,7697,5903,6947,3517,5047,6933,7692,3543,5969,6853,5940,3707,7364,6509,5848,4004,6584,6048,7309,3759,5098,6772,7269,3975,5911,6833,5487,3053,6518,7315,6021,3897,6567,5750,6610,2038,5805,7344,6937,3572,4989,7310,5964,3918,6394,6515,5753,3817,7698,5831,6625,7489,3898,5373,6718,5071,3804,6557,5811,7199,3518,6747,5944,7368,3007,6022,6510,6612,4034,5806,7258,4990,4008,6799,7713,5860,3547,7044,5970,6949,7460,3925,5495,6759,5564,3939,7490,6828,5590,2041,6854,5105,7700,3709,6573,5603,7431,5535,3979,6938,6396,5605,3059,7317,6025,6517,3559,7270,5915,6749,3767,5051,6992,7273,5593,3818,6834,5754,7472,3900,6857,5864,7464,3825,5972,6776,6626,3926,6080,7331,5100,6950,3929,7260,5985,6571,3061,5813,7048,7215,3576,5917,6558,6026,7435,3871,6367,5106,6807,3327,5835,7553,6836,2042,5927,7714,6979,5594,4036,7492,5756,6763,3981,6616,5814,7376,3791,5053,6599,7554,5374,3549,6940,5837,6953,3987,7318,5695,6858,7321,2943,6033,6865,5918,3710,7333,6981,5079,3820,6860,5931,7274,7008,4016,5499,7223,6954,3941,5817,7496,5551,6750,3563,7056,5727,7704,3771,5609,6866,7745,5054,3826,6840,7716,5986,3930,6521,5843,6579,7281,2015,5606,6961,7322,3054,6028,6463,5838,7247,3550,6765,5083,7437,4040,6956,5933,6628,5596,3455,7276,6574,5976,7746,3982,6982,5959,7392,3887,5845,6811,6632,5108,4048,7334,6383,5818,3942,7687,6034,6522,7720,3989,5872,6603,7363,5988,3062,6766,5939,6771,3799,7438,5934,6581,7809,3565,5095,6524,5559,3945,7691,6962,6049,7443,3773,6605,5610,6640,7748,4003,5743,6813,5791,7459,2044,6823,5859,7227,3828,6868,5112,7337,6985,3932,6036,6773,5583,7728,3571,6495,5963,7282,3803,6611,5501,7445,6582,3065,5617,7324,6881,4863,3895,7255,6050,6395,7365,3994,5941,6606,6586,5846,3946,7284,6585,6081,3990,7338,5992,6613,7229,3574,5612,6391,7699,5751,4005,6827,7693,5085,6986,3815,7810,5849,6882,7043,3832,5820,7449,5563,6814,3953,7446,5861,6927,7694,3066,5965,6993,7345,6040,3566,6964,7461,5099,2031,6872,7556,5502,7072,3774,7259,5942,6935,5971,3993,6511,7752,5850,7045,3573,7937,5618,6774,7366,3948,6000,6829,7340,5086,3919,6988,7288,5862,6777,4064,7369,5565,6855,7504,3519,5591,6397,7230,5755,3805,6835,7450,6052,6968,3899,7311,5807,7046,7271,6023,3039,6830,5101,6884,7346,4006,5945,6994,7462,5620,3954,6519,7261,5966,6588,4009,7812,5865,6614,7370,4035,5946,6627,7760,5852,3819,6559,7491,5566,6629,3577,7560,5055,7049,7465,6082,3927,6939,7938,6056,6617,2039,7275,5595,6778,7348,3996,5973,6888,7319,5987,3806,6996,7377,7104,5757,7452,3901,7009,6027,7816,6837,3068,5107,7262,6941,5607,4037,7372,7050,5815,7466,6859,4010,5866,7568,6951,5948,3956,7776,6618,5873,7520,3578,6780,5974,7493,6838,5977,3821,7701,6398,5109,7323,4017,6861,5624,7378,6719,4038,7473,5919,7057,7715,5375,3827,6942,7468,6084,6955,3931,7277,6029,6523,7352,5839,4012,6841,7702,5597,6575,3902,6751,6633,6035,7705,7010,3983,4991,7283,6867,5758,3055,7335,6630,5868,7393,7052,3943,6064,7494,6862,7474,3711,5989,6957,7940,5611,6620,3960,7325,5819,7000,7824,5874,2043,6983,7497,5978,6869,3551,7278,6842,5102,7285,7058,4018,5598,7380,6896,6088,7339,3822,7012,7944,5503,6963,4041,7498,6030,6958,7394,5935,3580,6583,7717,6096,7073,7706,3933,6634,5990,7555,6767,6037,3829,7476,6815,5110,7384,6883,4042,7584,5847,7060,7439,3991,5613,6607,7447,6987,5993,3063,7326,6525,5821,7505,6641,3947,6051,7718,7074,7840,5876,3934,6965,7286,5980,6870,7500,3830,5619,7747,7105,7708,5851,4020,7016,7557,5113,6636,7341,4049,6775,5943,7289,6873,6042,3995,7721,6844,7367,5994,6587,4044,7952,6038,6885,7347,6989,3833,5622,7396,7064,6053,7506,3949,6526,7480,5863,6966,7872,4024,5880,7558,6995,7342,6001,3567,6874,7722,5114,6642,7749,2045,7024,5614,7561,6886,5822,7451,3775,6589,7290,6041,6615,7616,4007,5621,7521,6779,7729,5996,4050,7076,7371,6831,5967,7231,3067,7047,6112,7508,6969,7562,5567,3955,6644,7695,5853,7750,6990,3834,7724,5947,6889,7349,6970,5087,3575,7463,6876,6054,7453,6590,3997,7400,6002,7292,7106,7373,3950,6057,7080,7350,6619,6083,7811,3807,6997,5867,7730,7011,7454,4065,5625,7753,6781,7467,5975,7051,3957,7522,6631,6044,7379,6839,4011,5854,7569,7353,6890,5949,7564,4066,6972,7512,5116,6897,7754,6998,4052,6085,7813,7761,6058,7001,3998,7703,6648,6004,7408,6943,7374,3836,5626,7263,6399,7495,5869,7108,4013,7732,7053,6065,7968,6863,7570,4039,6086,7524,6621,7475,5875,7059,3069,7469,6782,5979,7585,7381,3958,6892,6060,7736,7088,8000,5950,3903,7013,7756,7354,6031,6635,7814,4019,6843,5103,7572,7395,6898,5991,3579,8064,7002,7762,5759,6622,7586,3961,7470,6008,7112,7817,6527,5599,7939,2046,7054,7528,6066,7707,6959,7279,4056,5870,7120,7499,7382,6089,7014,3823,7477,7061,5628,7356,7617,6871,4014,5981,7385,6637,7576,5877,7017,4068,7777,7764,6090,6845,7719,7075,7818,4043,6039,7397,6900,7327,5111,7004,3962,7588,7478,5995,6643,7709,6875,3581,5982,7941,7778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序列组三:Z3_8192
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序列组三:Q3_16384
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12804,3636,5214,9302,2957,4893,8791,1969,5324,9276,3872,6690,8860,2767,5002,10269,3474,5418,8982,1990,6468,9496,3428,4811,12337,2525,5520,8652,3379,7185,10283,1779,4903,8441,2963,5728,9305,3373,4570,8874,2686,6352,9506,5472,1883,10338,4732,3489,13314,6530,3285,8765,5445,2796,8603,4790,1964,9745,6294,3640,10755,5653,2992,8995,4350,3904,8981,6297,1854,9740,5275,2917,12362,4813,3660,8901,6309,3258,10328,5330,1935,9412,4671,2539,8557,5425,3718,8632,6250,2747,10380,5009,1007,9357,5667,3476,12560,6199,4894,8820,3299,9317,5420,2802,8881,7178,1895,10270,4907,3968,8566,5229,2906,9363,6472,3666,12448,4475,1663,8615,5304,2526,10386,6680,3490,8658,4793,3374,9392,5654,1912,8985,4527,3016,10311,6721,3721,9358,4703,2431,12808,4585,6692,8442,1503,5657,8563,3843,4962,9746,2958,10502,6257,3432,8673,5235,1970,9537,4819,3611,8766,6298,2863,12576,5287,3183,10505,4582,1774,8605,6223,3024,9247,5345,3403,8795,5004,3286,10401,6413,5446,9416,1993,4814,12816,2918,5426,8558,3381,8660,7186,2965,9306,4909,1532,10816,5892,3260,8847,6252,3521,9761,4572,2775,9092,5277,1885,12480,6722,3289,10285,4952,5776,8997,2541,6368,9508,3480,8807,4935,1781,11280,5449,2921,9538,6310,3681,12832,4821,3668,8876,5230,1994,8902,6663,2749,10340,4794,3623,9748,5237,6696,8621,2979,9479,5010,3722,12358,5332,1943,10880,6339,3301,8986,4848,2804,8444,5291,3231,9365,7296,1015,8565,4964,2908,10291,5896,9318,3492,6414,12332,4915,3382,8797,5450,1899,9040,6785,2547,10388,4910,3613,9321,5346,2779,8882,4535,9520,1886,6667,12419,3845,5669,10286,5025,3682,8905,6419,2871,9512,5658,3729,8824,4586,1782,10315,6724,8674,2970,5507,12369,3405,4719,9379,3191,6435,8998,1972,5428,10506,4767,2922,9308,6203,8619,3672,5336,9096,2966,4835,14338,2001,7180,10513,3411,5536,9263,3290,5012,8606,2550,9483,6313,5391,10757,1947,4559,8415,3440,6704,8855,2981,5399,12338,3724,4939,9601,3302,10344,6258,1996,8884,5278,4477,9762,2791,6421,9027,3463,5457,10402,3385,4593,12361,1785,9540,6300,2808,8811,5670,3522,8664,5026,6231,10293,2929,5792,9424,1901,8647,4917,3614,12303,6341,3406,9602,5238,2542,10433,4822,3305,8988,7201,9001,5452,1976,9366,5699,2750,11296,6260,3627,12608,5057,3846,8906,6314,9369,1519,5660,8913,2969,4968,10392,6205,3247,9381,5509,2549,9029,4588,12421,3195,6675,8908,1727,5293,10317,3730,4727,9322,6669,2924,9056,5241,9271,3684,4825,10404,1959,6786,12340,3413,5673,9002,2895,9544,4796,3849,8798,6425,5319,11008,3040,4539,9104,2002,13316,7233,3292,9752,5904,3386,8914,4837,2495,10508,6422,5299,9793,1019,8888,4941,3496,9764,6670,3467,12311,5348,2781,10514,5016,8569,6321,3745,8627,5458,1907,9329,4478,2875,10758,6437,9009,3655,5432,12422,3427,4918,9370,6532,1786,8511,5824,10294,2982,6235,9295,3359,5510,8813,3255,4947,9485,2930,12672,7188,5294,10323,1527,4826,9004,3306,6728,8676,2985,9324,5674,3197,10297,4594,6913,8622,1949,5701,12364,3629,9794,4976,3011,9030,6342,3732,10761,5513,3688,9440,4838,8859,6316,1902,12425,5403,2795,11267,4541,8680,3414,6264,9382,2553,5242,8431,6345,3388,10352,4567,9735,1759,5568,12370,3313,6480,8570,2903,9768,5473,4731,10375,3850,7424,8651,2017,5681,9411,3635,8814,5028,2972,12344,6206,5323,10318,3417,8819,4783,2782,9486,6426,1909,8629,5183,3524,10529,4999,12315,6287,3469,9857,5460,2877,8572,6247,10434,3475,4921,9739,1963,5514,9010,6322,9491,3279,4596,12385,3013,5647,10325,3746,6438,8653,2018,8688,5702,4942,9796,3630,7202,10516,2986,12327,5676,3857,8861,4841,3504,9507,6237,10762,5301,2004,8871,6788,2932,9275,4922,8916,3429,5415,12547,6346,2554,10298,4828,9385,3259,5405,9033,1950,6736,8821,3308,10408,4542,5352,12372,2797,6467,9776,3736,8543,5244,3696,9330,7192,5058,11269,1788,5325,8659,2993,9493,6536,3659,12426,5032,10379,3852,5302,8630,6441,3014,9372,4571,8929,1965,5763,10339,3777,6914,12433,4949,9303,3198,6251,8443,2803,5682,9413,3314,10326,4963,1991,8654,6324,5406,12549,2907,8634,5705,3637,10300,6295,3470,9332,4733,8633,5419,2988,9386,7204,1021,10520,5003,13320,3418,6353,8661,5474,3528,9277,4583,10329,2878,6428,8439,1910,9747,5331,4791,12317,3430,6792,8875,3477,10530,5521,2959,9741,6238,3375,9034,5305,9858,4842,1855,12331,6348,3641,10769,5516,8930,2919,4924,9091,6442,10764,3316,5464,9497,3667,7175,14340,1971,8862,4849,5706,9494,2687,10436,6544,3261,8975,4950,3638,9742,5765,11328,6752,2936,12386,5713,1531,9041,6496,9393,3748,4953,9012,5655,10381,3433,6469,9509,2527,4600,12803,3778,8920,5360,6677,10341,1913,9604,4895,3661,9120,7297,2994,9307,5326,12376,5215,3287,10387,6299,8983,2798,4351,8559,5447,3858,10416,6354,9800,2008,5060,12428,3719,9093,6449,5684,9985,3017,5005,10382,3420,8822,6691,3491,9414,5920,12318,4815,1775,10770,6444,2556,8877,5522,9388,3478,7234,9036,5476,10561,3536,4573,12434,2909,6253,9336,5427,8825,1966,5011,10271,3752,9417,6328,3873,8903,5421,12359,6678,2805,9552,4734,3434,10440,5537,8445,2020,6681,9278,5333,11273,3662,6259,12550,3018,8883,4844,5688,9498,3481,6311,9016,3642,10330,5040,1995,9359,5952,12553,7680,2967,9094,4965,10785,3860,6369,9319,3669,5708,8878,5306,8932,3644,6470,12449,2923,10532,4587,6450,9394,1914,9042,5766,3291,10562,4795,9510,3383,6916,12864,5524,8567,2910,5347,10772,3780,6301,9309,4850,8636,1533,7179,9860,3670,12333,6016,2806,10503,4954,8662,6800,3673,9418,5714,10389,3723,6473,8675,4574,13328,1973,5538,9808,2996,6254,8607,5422,10342,3493,5064,9539,3864,8677,6261,3025,12388,5769,10345,6356,3874,9608,4479,9097,1997,5891,11270,7208,9513,3683,5006,12928,2971,8987,6315,3674,9986,5480,10544,5659,3482,8665,6920,2024,12339,4911,9323,6474,3020,10536,5231,8826,3303,5072,9396,6370,10403,3760,5451,12436,2809,8936,6693,5334,9367,1916,9044,4966,3725,10332,7236,9425,3320,5429,12334,6682,9152,2925,5013,10287,3441,9500,5308,6531,9057,3262,10507,5569,1974,12363,6452,9864,4823,3436,8885,5337,10625,3000,6360,9310,4589,12554,3726,7298,8989,3731,9420,5528,4969,10786,1887,9098,6560,2543,9514,5729,12561,3407,6415,10564,5716,8907,3552,4797,9616,2751,11281,6423,5671,8999,3387,12805,6302,1783,9824,5027,8666,5770,3293,10448,6481,9568,2983,5349,14344,7187,8828,3442,4852,10626,3685,9541,5279,6694,8886,3026,10390,4956,1022,12392,6816,9749,5540,3494,8446,5430,10393,3497,9371,6262,4595,8909,3523,12450,6476,2931,10405,5661,9426,4827,2032,8767,6723,9521,3686,5893,12341,7181,10346,3615,5730,9105,2810,9763,4919,6684,10295,3307,8990,5777,3484,12481,6533,9516,5018,1534,11274,5453,9003,2551,9325,6317,5239,13344,3415,10568,6265,3444,8571,4970,9400,5720,2973,10776,7216,8889,3847,5014,12440,6697,9750,2003,5459,8623,3389,10817,6343,8799,5338,3294,12365,4598,8681,2926,6928,10788,5488,9753,3498,6323,9058,3525,10353,5029,5772,12452,1977,9331,7182,8915,2783,5350,10394,6372,9383,3309,4839,13056,3631,8678,5511,6482,10319,3905,9441,5433,1787,9100,6456,10509,4856,12556,3041,6848,9542,5570,8910,3876,4977,9522,3784,11282,6534,5662,12562,2933,9005,7240,9988,3906,5454,10348,4590,8668,1998,6318,12806,3733,9373,5353,6698,10818,2987,9048,4798,9872,3880,6725,10464,5675,12342,3851,5894,9031,6537,9545,3689,10406,5017,1978,8917,7425,12371,5295,3042,9326,4597,10759,3676,6427,8890,5243,9333,3505,10792,6266,3028,12345,5778,9106,6592,3792,9428,4972,10435,1903,8944,5732,6497,12809,3888,9387,5461,7189,11392,3908,9060,4943,9992,2974,5897,13315,6705,10510,3419,5088,9011,3969,9546,6347,10881,5340,2005,12400,6207,9006,5434,2812,9442,4543,8631,3315,10763,6484,5544,9765,3734,12423,7300,3526,9121,5515,10515,6538,9754,2989,4829,8682,5793,14352,2006,6671,10820,3390,9603,4923,8815,6726,3747,10531,5703,12366,3015,9524,6700,5475,8863,3690,10299,5030,6325,9432,3970,12577,5407,8931,1951,7203,11276,5303,9632,3853,6439,9108,2934,10409,4978,12482,5354,3448,9487,6429,8655,5033,10800,3500,6376,9495,2879,12373,5245,6268,9035,3737,10354,5677,9374,2019,5059,8573,7426,12564,3808,10517,5780,6349,9553,3639,8689,5736,10396,2995,6326,12810,4843,9766,3912,5462,9122,6787,10327,3697,9888,4601,1789,12346,6706,9013,5436,10437,2555,7194,9334,5361,8918,3310,12456,4951,3431,11297,6430,9548,5898,9795,3529,6729,10356,5683,13317,2937,6443,9153,1980,10410,5020,9756,7681,3471,9064,5465,10301,4830,12427,3859,6498,9605,3663,8684,5572,10771,6355,3032,9389,5517,12387,6545,8823,3750,4925,10765,3506,9337,5523,8921,6329,1911,12374,5327,10882,7248,9769,2799,5061,8892,3749,10521,6540,12348,5794,3421,9415,6488,8635,5678,11329,3317,5034,10000,2990,12568,6730,8933,5905,2009,10518,6789,9395,5552,9037,3530,7205,12377,3738,10766,4980,9444,5477,3692,9112,6737,10417,4602,12578,3044,6679,9554,3435,8574,5307,10533,6384,3199,9528,5356,12817,6350,9014,2021,4845,10628,3263,9920,5784,10331,7193,14368,3019,5744,9606,6239,9043,3854,11284,5041,6471,9390,3479,12812,5707,8922,2938,6708,10824,5900,9770,2010,8690,5062,7190,12484,3508,11009,5825,9797,3698,6944,9072,5246,13376,3643,10438,6546,9609,4851,2557,8934,6500,10412,5362,12429,3537,4955,9499,3753,8637,6451,10360,5685,1967,9338,7304,12389,5518,10441,3318,8663,6445,5036,9664,2997,10576,6561,12435,3779,5466,9569,6357,8827,3422,11520,5576,9777,4926,3671,12464,6712,9124,5478,10302,3021,7428,9419,1915,8879,5525,12430,6976,3740,10522,5007,9279,6732,9095,3862,10383,5423,5689,12818,3532,9556,6330,10343,3048,9017,4967,7432,12609,3321,9610,5364,10418,6790,3754,8692,5715,9743,6548,12319,2022,10534,4735,3645,9798,6371,9038,5309,11298,2940,5686,12488,7040,9772,3483,8937,4984,10333,7206,3875,9397,5796,13321,6738,10884,3861,9018,5481,1790,9511,6562,10442,4575,12378,2998,8924,6446,5826,9501,3781,10832,7682,12833,5709,3437,8638,5042,9448,3512,10563,6793,9340,5335,2911,12580,6915,11288,4846,9154,3700,9421,6504,5906,10632,1535,14339,6683,9128,5767,9398,3761,7264,10537,3446,12610,5065,8667,6255,9859,2807,5468,11010,5539,9045,3495,12820,6475,10347,4604,3538,9778,6358,9059,5526,10420,3865,12551,7235,5584,9502,3056,9801,6453,10391,1023,8829,4957,6332,12437,3322,9515,5800,11300,6593,9099,3443,5921,12390,4853,10449,3553,9570,7209,8679,5482,2558,10524,6361,12393,5710,9427,3646,8887,6552,10888,3485,5066,13318,6753,9617,2012,10334,5529,9401,6740,3675,8938,5690,12592,7312,10444,3027,9612,5015,6695,9020,3438,10538,5908,12584,5717,9560,3540,11271,6794,3727,8945,5692,12451,6373,9802,3001,10640,4971,7196,9046,2025,9861,5339,12380,6303,10848,3972,9809,5431,6564,10592,3877,9049,4958,12335,6454,9751,3687,5828,10565,7237,8696,2811,12555,5718,9456,6685,10773,3756,4854,8991,3782,11393,5721,12673,6917,9422,1975,9311,5771,6754,10395,3501,12834,5044,8447,7210,9543,3022,5541,10450,6801,9156,3866,14341,5912,10545,6477,9780,3324,5073,9101,6263,12612,3445,10787,5922,10016,7684,8911,3677,5731,10540,6744,13329,3002,9618,5019,11330,6483,9572,2026,5722,12496,3920,8669,6362,10349,5530,9523,3762,9107,5068,7217,12674,3785,10424,5351,9517,6512,10774,2927,12438,5808,8830,6796,3704,9633,4857,10777,6374,9429,3554,12441,5773,10355,7242,1917,8940,5368,9784,6535,12453,3878,10407,4973,9136,6457,3029,10048,5489,11776,6594,12394,3499,9061,5310,10465,7440,9804,3976,5484,12343,6686,9402,3486,10566,5048,8683,6478,13322,3030,5774,10546,6377,9862,3295,8891,5779,11012,1999,12616,4591,9620,7328,3735,9443,5455,10397,6699,12824,3764,8946,5600,11275,6918,10112,3907,4799,9050,6319,12865,2975,10896,5435,9810,7688,10569,3691,12836,5341,6267,8670,3544,9634,5031,10350,6802,14400,3527,9518,5490,9160,6756,1918,10357,5733,9865,7456,12401,3043,10452,5074,8575,6485,9987,3868,5542,12442,6921,11304,3881,9102,5545,10411,6364,12367,3786,9576,5571,9755,7696,3793,11016,4979,9007,6458,12557,2813,10570,5734,9327,6568,9168,3909,5663,13330,6539,10466,2033,9547,4858,10789,7360,12396,3788,9430,5355,9062,6817,3936,11332,5532,9525,6727,12866,3004,10778,4599,9109,6499,9404,3882,12512,5463,7712,10627,3678,9665,5492,10548,6431,12454,3984,8919,5021,9433,6327,10456,3794,5895,8685,6378,12807,1979,11394,5437,9624,7238,9065,2935,12840,5342,10656,6269,3768,9825,4974,10511,6701,12483,3449,9812,5546,8893,6804,10519,5573,13440,3507,9767,7212,4831,10398,3889,9123,6760,12558,5357,9866,3033,10577,6486,9445,5679,11283,3391,15360,6460,5953,8948,2028,9375,7299,10790,5089,12929,3693,9052,6385,10912,5924,9636,3884,12811,6922,5832,9526,3045,10358,7249,8691,4981,12563,3556,10572,6707,9757,5954,8923,3502,10819,6489,12868,5781,3910,9989,6596,11277,5035,9826,3739,12579,7218,9015,5928,10780,2034,9873,6541,12347,5899,10629,3034,6547,9114,5737,9549,6351,13324,3560,10413,5090,9335,7241,10361,3311,12457,5724,9066,6818,9816,3450,5553,11312,6702,12848,3531,9110,5076,10793,7183,9555,2991,12402,5840,10439,6929,9434,3694,8694,5936,11024,6576,1981,12565,5956,9584,6501,10419,3699,9125,5022,12444,7488,9868,3509,11278,5467,9446,6331,14345,6017,10468,3452,6380,8935,4860,9607,2939,12375,6808,10578,5363,9529,3890,10552,7301,12485,5782,8952,3533,10944,6768,9666,5574,13345,3568,9073,6731,5037,10630,3741,9758,7220,12404,5438,11336,2007,9550,6924,8686,5795,12458,6849,10414,3046,9449,5063,10794,6270,12349,3751,8894,5738,7191,10821,3796,9771,6018,12819,6386,9990,3913,10633,5901,9113,6709,12813,2814,11521,4982,9391,5496,8693,3701,12930,5548,10523,7302,9339,4927,3423,10362,6542,12569,5785,9874,3539,10688,6490,9068,5856,13377,1982,9828,6600,10593,5687,9557,3510,12566,7552,11285,5043,9039,2559,9993,6502,10801,5960,6549,12814,3809,9184,5745,10443,7244,14342,3323,9436,4603,10303,6447,9530,3534,12465,5358,8639,6713,10580,3514,9640,5479,12581,6388,11396,3513,9611,5577,10634,7305,12676,4985,8925,2011,6739,9889,5519,10767,3036,12379,6333,9019,5907,10822,3541,9799,7250,13332,5711,10796,3319,9571,6710,9126,5080,12872,3755,10421,6820,9503,5798,11299,6505,13057,3914,9399,5554,10535,7224,9074,3049,12486,4847,9450,6850,3810,10525,5797,9129,6733,12460,3971,10472,5469,9341,7195,10364,5365,12408,3742,9773,6359,9155,5038,11522,2036,12489,6930,9876,5578,10445,3855,9832,6791,14353,5786,10422,2999,8939,7265,9558,5740,12624,6492,10883,3921,8697,5092,10802,6563,13568,3892,9532,5483,11290,7207,9457,3800,5247,12350,6550,9047,5311,10526,4000,12570,6608,9994,5067,10825,3050,9779,6824,12431,5902,10539,3863,9116,7427,11777,5527,12391,2023,9561,6945,8926,4986,10594,6506,12466,3439,9668,5556,10451,7252,9613,3973,12582,5746,10641,6734,9021,3702,9619,5691,13346,6553,10425,4605,9423,3757,11344,7306,12381,5585,9157,2941,10636,6714,12932,5801,9890,3916,10584,6932,9774,5366,14346,6741,9130,3705,10826,5045,10001,7313,12490,3783,10885,5827,9648,6716,11301,2040,12880,5470,9076,6363,9573,5719,10833,3325,12611,7429,8698,5069,10775,3023,13336,6455,9403,5788,10480,3763,9452,6852,12680,5910,10446,7197,8941,3896,9880,5580,12585,6742,11289,3974,9840,5096,10335,6745,13058,5369,9137,3758,7211,10567,9803,5802,12395,2942,10804,6795,9996,5693,12468,3812,9158,6565,11286,4988,9921,6936,12439,3922,11040,5531,9342,7266,10642,1791,13348,5923,8947,6946,10596,3447,9458,5909,14354,6755,9051,5046,10547,3516,12497,7683,9781,5829,11400,3542,9614,6746,12572,5485,10541,6554,9132,3057,10657,5560,12936,7256,9562,3555,10453,4959,12382,6375,9672,3487,9022,6832,10808,5748,12492,7308,9574,3557,11524,5809,9621,6797,12586,3977,11072,5494,9103,6392,10828,4855,13319,3867,9519,7198,9785,5543,12688,2013,10426,6513,9063,5586,11528,6334,12896,3003,9460,5913,10886,6508,9811,3545,12640,5104,10644,7314,8831,3706,14464,5370,10467,6798,9405,5491,9782,3816,12613,6803,11136,5601,9080,3924,11302,12821,7239,9892,4606,10834,6479,13441,4032,9577,5694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序列组三:Z3_16384
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序列组四:Q4_2048
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序列组四:Z4_2048
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序列组四:Q4_4096
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序列组四:Z4_4096
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序列组四:Q4_8192
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,7173,4581,6191,3283,1958,5001,5417,3473,4891,4569,3257,6411,5890,2955,1906,4730,1961,4840,3468,6529,3416,1987,6690,5227,4948,1771,5056,3658,3717,6468,5300,2535,4961,1529,4789,3665,2743,3607,6352,1879,1948,5271,3312,6530,5329,2794,1758,5404,2876,1853,4893,2801,6294,3278,6297,5768,2902,1015,3167,6309,3399,5214,2905,5324,5002,3636,3872,2552,5418,2847,6250,4811,5520,3474,6199,2303,6472,3012,5728,1989,4903,7232,3428,4570,2957,3379,4732,5472,3373,4790,4350,3489,6680,2767,5445,1962,5653,1908,4813,6721,3285,1530,5275,2525,5330,4671,5009,3640,6692,5425,2963,4894,1773,4907,3904,7177,6257,1969,4475,1990,5667,3660,6298,5420,2686,6223,5229,2796,1779,4793,2992,6413,3258,6252,1883,5304,4527,3718,6722,3476,5654,2917,1964,4703,3299,6368,3968,2539,5657,2747,6310,4585,1854,3666,6663,3490,6696,5235,2802,1935,4962,3374,3721,4819,2906,3843,6339,4582,5287,3432,1019,3611,6414,2526,5345,1895,5446,7174,5004,3016,3183,1663,5426,2431,5892,4814,4909,3403,6785,5277,2958,4572,1912,4952,7185,3286,5776,2863,5449,4935,1503,5230,3381,6667,5237,3024,6419,5332,1970,4821,2918,6724,6435,1774,4794,5291,3260,5010,6203,3521,5896,2965,1993,4848,4964,3289,6313,3480,6704,1532,6258,1885,4915,3681,6421,3668,6300,5450,2775,4910,3623,3722,4535,2541,3301,6231,5025,1781,3231,7178,3492,6341,2921,5346,1994,5669,3382,4586,2749,6260,3613,5658,2979,5507,4719,1021,3845,6314,3682,5428,5336,1943,4767,3729,3405,5536,2804,5391,4835,5399,3191,2908,5278,2547,6205,5457,1899,5012,7186,6675,5670,2779,1886,4559,5792,3672,4939,6669,3411,6786,5238,2871,1782,4477,3290,6425,6422,1972,5452,2970,5699,4593,3440,6670,3724,6321,5660,2922,5026,4917,3302,6437,3463,2966,6532,4822,2001,5057,3385,7296,3522,6235,5509,2550,1947,5293,3614,4968,2981,6728,3406,6913,5241,1996,1022,4588,3305,6342,3627,5673,5319,3846,4727,3247,3195,5904,2791,5299,4825,1785,3730,6316,5348,2808,6264,5458,1901,4796,3684,3413,6345,5432,2929,4539,5824,3849,4837,2542,3292,6480,5510,1976,5294,3386,6206,2750,1519,5674,2969,5701,4941,6426,3496,2549,5513,2924,5016,4478,3467,6287,7180,5403,2895,1727,4918,3745,7201,3655,6247,5242,3040,6322,4947,5568,3427,4826,2495,6438,6237,5473,1959,4594,7233,4976,3359,6788,3255,2002,5681,3306,4838,4541,3197,6346,3629,5323,2781,1907,4567,1786,4731,3732,6736,3688,5183,6467,5460,1527,5028,3414,3388,6536,5514,2875,4783,1949,3313,2982,3850,6441,5647,1902,5702,3635,6914,5676,2930,1759,5301,2985,5415,4999,3011,3417,6251,5405,2795,4921,3524,6324,3469,5352,2553,5244,4596,7188,3475,2903,5325,2972,6295,4942,5302,3279,6353,2782,6428,2877,5763,2017,4841,7424,3746,4922,6792,3630,4828,5682,3857,4542,5058,3504,6238,6348,5406,1909,5705,1963,5032,3429,6442,3259,2018,6544,5419,4571,4949,3308,3736,6752,5474,3013,4963,2004,4733,3696,7202,3659,6496,1950,1788,5331,3852,6469,5521,2986,6677,5305,2932,1965,5003,2554,6299,3777,6354,5516,5464,3198,6449,3314,5706,2797,5765,4583,3637,3470,2993,5713,3014,6691,4791,5655,3418,6444,3528,6253,5360,2803,1991,4842,7192,3430,4924,2907,3477,6328,4849,5326,3375,4950,3641,6678,2988,5215,1910,5447,7204,4953,6681,3316,1855,5684,2878,5920,4600,4895,3667,6259,5522,2959,4351,1971,5060,3261,7175,3638,6311,5476,5005,1531,5427,3748,6369,5421,2919,6470,5537,1913,4815,2687,6450,3433,6916,2008,5333,3778,4573,6301,3661,5688,2936,1775,5011,3287,6800,3858,6473,5952,2527,6254,1966,3719,6261,3420,6356,5708,2994,4734,3491,3478,4844,2798,3536,6315,5040,5306,3752,7297,3873,6920,3017,5766,2020,5524,7234,4965,2556,3434,5347,2909,6016,4587,4795,3662,6474,3481,5714,5538,1995,4850,7680,3642,5422,2805,5769,4954,5891,3860,6370,5480,3018,6693,5659,1914,4574,7179,6682,6531,1533,5064,5231,3669,4479,6452,3644,6360,5451,2967,1973,5006,3291,6560,3383,6415,1997,6423,5334,4911,3780,6302,3670,6481,5429,2923,5072,3673,6694,3723,2910,3493,6816,4966,2024,3864,7208,3874,6262,5308,2806,1916,5569,3683,5013,2996,6476,3674,6723,5337,5528,1023,3482,6684,3303,5729,5716,7236,4823,3760,3725,5671,3025,5770,4589,5349,3320,6533,5279,2971,6317,5540,1974,4969,7298,3441,6265,5430,3020,4797,5661,3262,5027,6697,3436,6343,5893,1887,5730,3726,6928,6323,1783,5777,2809,5453,4852,6372,3731,6482,5239,2925,4956,4595,3407,6456,3552,7187,6848,2032,4827,3387,7181,3293,6534,5720,3000,6318,5459,3442,4919,2543,6698,3685,6725,5338,1534,7216,5018,3494,6537,3497,5488,5772,3523,4970,3686,6427,3615,5350,2751,5511,5014,2003,3307,6266,3484,5433,6592,5570,1977,4598,3415,3444,6497,5662,2983,5029,5454,3847,3026,3389,6705,5353,1787,5675,7182,6347,5894,2931,1998,5295,2810,5243,4839,6207,3294,6484,5778,2551,4856,3498,6538,7240,5732,2973,5461,4977,3525,7425,3309,6671,5897,2926,6726,4590,5340,3631,6700,2783,6325,6439,5434,1978,4798,7189,3905,5017,6429,3876,5544,3784,4597,4972,3906,6376,3733,6268,5515,1903,2005,4943,3880,6349,3851,5793,6326,5703,5088,3689,3676,6787,5475,3041,4543,2006,3505,7300,3792,6706,5407,1951,5303,3888,6430,5354,2933,6729,5245,2987,5677,4829,3042,3908,6443,5780,5736,3419,6498,3969,5462,3028,5436,4923,7203,3315,2974,5361,2812,6355,5030,5898,3734,6545,7426,6329,5683,2989,2019,4978,7194,3526,5033,6540,3390,6488,5059,5465,3747,4843,3690,6730,6789,5572,1789,5517,7681,4601,3970,6737,3853,1980,6679,5523,4951,5020,3448,6384,3500,5327,3015,4830,1911,4925,3737,7248,3808,6350,5794,2009,5678,3639,6239,5905,2934,6471,5552,2021,2879,6708,3912,6944,5477,5307,3697,6546,3310,5356,2995,5784,5061,3431,3529,6500,5744,2555,6451,5707,3471,6445,3859,6561,5900,2937,5034,7205,3663,4980,3032,3750,6357,4602,5825,3506,7193,3749,6712,2799,5246,2010,5362,7190,4845,6976,3421,5685,2990,5518,5041,5062,3317,6732,7304,5466,5576,1967,4851,3530,7428,3738,6330,5478,4955,5525,3692,6790,5423,3044,6548,5689,1915,5036,7432,6371,3435,7040,2022,5364,3199,4926,6738,3263,6562,5715,3019,1790,5007,3854,6446,3479,6793,5309,6915,5686,3508,6504,3698,6683,5796,2938,4967,3643,3537,2557,3753,6255,4735,5481,3318,7206,3779,6475,5826,2997,1535,5709,7682,4984,3021,3422,6358,5335,5906,4575,3671,6453,3740,5767,5468,7264,5042,7235,3862,5539,3048,5526,4846,5584,3532,6332,5800,2940,6593,5921,2012,5065,7209,3321,6361,6552,4604,5482,3754,4957,6753,3645,6740,5710,2025,5529,3483,6695,3875,6794,1975,6373,5690,4853,6303,3861,6564,5908,2998,5066,3781,6454,3437,7312,3512,6685,2026,3700,7196,3761,6917,5717,2911,6754,5692,3446,5015,2807,6801,3495,6477,5339,5431,7237,3538,6263,3865,5828,5718,7210,4971,3322,3443,5721,3056,5771,4958,5541,3553,6744,3646,5912,6483,5922,1917,4854,7684,3485,6362,5731,2558,5044,5722,3675,6512,3438,6796,5530,1999,5351,7217,6374,6535,1918,5808,3027,5773,5073,6457,3540,6594,5368,3001,5019,3727,6686,3972,7242,6478,5489,5068,3877,7440,3687,6377,5310,2811,6699,5484,3756,6918,3022,6319,3782,6267,5774,2033,7328,3501,4857,6802,3866,5779,3324,4973,3445,6756,3677,6485,5455,5600,1979,3920,6921,3762,5435,6364,5341,5048,3785,3704,6458,5490,3002,4591,5733,3554,7688,3878,6568,5542,2028,5545,7456,6539,5571,2927,5734,3029,5663,4799,6817,3499,6727,5355,5532,3976,6499,7696,5463,3030,5492,5031,7360,3486,6431,5895,2975,6327,5074,5437,3295,6378,7712,6269,6701,2034,4979,7238,3735,4858,6804,3764,6760,5342,3907,4599,3691,6486,3544,6460,5546,1981,7212,5021,3527,6385,3868,5573,6922,5357,4974,3881,6707,3786,5679,3043,4831,2007,3793,7299,3909,6489,5953,1982,5924,3788,6596,5832,2813,6541,5954,5781,3004,3936,6547,5928,5899,7249,6351,3882,5737,2935,5724,5089,7218,3678,6818,5553,3033,6702,5840,3984,6929,7241,6576,5936,3045,4981,7183,3794,5035,6501,3768,6331,5090,5956,3449,7488,3507,6380,6808,5467,2011,6017,7301,5076,6768,3889,6731,5363,5022,4860,3391,6924,3693,7220,5782,2036,5037,3884,7191,3556,6849,5574,5438,3502,6270,5795,3034,6386,5738,2023,7302,6709,3910,6542,6018,5901,3739,6490,3560,6600,5496,2991,5548,5063,3311,3450,6502,5785,6549,5856,3531,6447,3694,6713,5687,2939,4982,7552,3699,3046,3509,6388,4927,5960,3452,7244,7305,6739,5745,2814,2040,5358,7250,5043,6333,3890,6710,5479,5577,4603,3533,6820,7224,5519,5907,7195,4985,3568,7265,3741,6505,5711,5080,5798,3751,6850,5554,2559,6733,5797,1791,4847,7207,3796,6359,6930,5469,3913,5038,6791,3701,6492,5365,2013,3423,6563,3539,6550,5578,6608,5786,6824,3510,6945,5740,3036,5092,3809,3323,7427,3534,6506,5483,3514,7252,3513,6734,5247,3049,6553,5311,7306,5067,2999,3541,6714,5902,5527,7313,3319,6932,3755,5556,5746,7429,4986,7197,3914,5691,3050,5585,4605,5801,3810,6741,7211,5366,6716,5827,2027,5045,7266,3971,6363,6455,5069,5470,3742,6852,3855,6742,5719,2014,5788,7683,6745,3921,6795,2029,6565,5910,5096,6936,3892,6946,5580,2941,4988,3800,6755,4000,7256,6746,5369,3863,7308,3439,6554,5802,3023,6375,5693,3973,2942,6832,3702,6797,5531,5923,7198,3757,6392,3916,5909,7314,5046,3705,3783,6513,5829,5485,5560,3325,6334,3763,5748,6508,5809,4959,7239,3896,6798,5494,3057,4855,5543,3974,7430,3758,6803,5586,1983,5913,7433,6479,6624,5370,3003,5491,5104,6459,3812,6365,5601,5694,3922,6514,3447,7329,6757,5533,4606,7744,3516,6566,5723,3052,6569,5486,3542,6595,7213,6758,3555,6687,2035,7268,3487,5075,6379,3557,6556,5588,3977,5049,3867,6487,3545,6516,5775,6020,7808,3706,6919,3816,5925,6461,5735,4859,3924,4032,5804,3058,5070,5830,3937,7219,3765,6366,5549,2037,5914,7316,6570,5372,3005,5493,5725,6597,3869,6381,5968,5810,7214,6703,7243,5833,3031,5752,5050,7434,3978,6977,5602,3006,6948,5926,3787,6856,7441,6978,6805,4975,7685,3879,5077,6952,3546,6923,5547,3708,7272,3766,6761,3326,6748,6024,1919,7330,5078,6577,3789,6864,5534,5023,3647,6960,3985,7221,5343,2030,3870,7361,3883,6980,5783,5812,3451,6491,5955,3035,7041,5739,5592,7320,3769,6387,5575,5916,7245,6806,3503,5929,3060,5834,5091,7332,3679,6598,5841,6462,5957,3561,6819,7936,6762,5836,3047,4861,7436,3938,7042,3795,6925,5052,5984,3558,7442,7686,6520,6572,2038,5930,7222,4983,6809,3980,6880,5726,5081,3790,6711,3885,7251,6032,7225,5093,3548,7689,3928,6984,5842,5816,3911,6769,5497,3064,6382,5555,2041,7280,3797,6503,6601,5937,3770,6543,3986,6931,5439,5741,3824,3940,6735,5932,6822,5604,6578,3891,6821,5550,2815,5082,7303,3886,7246,3511,6493,5958,4001,7457,7362,6389,5787,3037,5608,7253,5039,6602,3562,6810,5359,5498,7444,3695,6764,7690,5579,5742,7226,4987,7336,3743,6507,5747,5094,5557,3811,6271,7307,5500,6335,2042,4862,7267,3988,6926,6551,5938,3535,6580,3915,6770,5581,2015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序列组四:Z4_8192
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序列组四:Q4_16384
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0,12316,3312,8881,11265,6530,5329,2794,10311,1758,5404,2876,1853,8566,9358,4893,2801,6294,3278,6297,8615,10502,5768,2902,9746,12357,1015,3167,6309,8658,3399,8985,10505,5214,2905,5324,12330,9537,5002,3636,8442,3872,8563,2552,5418,2847,6250,9247,4811,5520,3474,6199,8673,8766,2303,6472,3012,9416,5728,10401,1989,4903,7232,12804,3428,8605,4570,2957,3379,10816,9306,4732,5472,3373,8795,4790,4350,3489,6680,8558,2767,5445,10285,1962,5653,9761,12337,1908,4813,6721,3285,10340,1530,5275,2525,5330,9508,4671,9538,5009,3640,8660,6692,5425,2963,9748,4894,1773,4907,8847,3904,7177,9092,12362,10880,6257,1969,4475,1990,5667,8997,12560,3660,8807,11266,6298,5420,2686,6223,9479,5229,2796,1779,8876,9365,4793,2992,6413,3258,6252,8902,10291,1883,5304,9318,12448,8621,4527,3718,6722,3476,8986,10388,5654,2917,1964,8444,9321,4703,3299,6368,8565,3968,8797,2539,5657,2747,6310,9520,4585,1854,3666,6663,9040,3490,8882,10286,6696,5235,2802,13312,10315,1935,4962,3374,8905,3721,8824,4819,2906,3843,6339,10506,9512,4582,5287,3432,8674,12808,1019,3611,6414,8998,2526,5345,10513,1895,5446,7174,12576,9379,5004,3016,3183,10757,1663,5426,2431,5892,9308,4814,4909,3403,6785,8619,10344,5277,2958,9263,4572,1912,4952,9096,7185,12816,3286,10402,5776,2863,5449,9483,4935,1503,5230,12480,3381,8606,6667,5237,3024,6419,9601,5332,10293,1970,4821,8415,9762,12832,2918,6724,6435,10433,1774,4794,5291,9540,12358,3260,8855,5010,11268,6203,3521,8884,5896,2965,1993,9027,4848,9424,4964,3289,6313,8811,3480,6704,8664,10392,1532,6258,9602,12332,1885,4915,3681,6421,8647,3668,8988,10317,6300,5450,2775,9366,9369,4910,3623,9001,3722,8906,4535,2541,3301,6231,10404,9381,5025,1781,3231,7178,8913,12419,9029,3492,6341,2921,5346,11008,1994,5669,3382,8908,9322,4586,2749,6260,3613,10508,9271,5658,2979,5507,9544,4719,1021,3845,6314,9056,3682,10514,5428,10758,5336,12369,1943,4767,3729,9002,3405,10294,5536,2804,5391,9752,4835,5399,12338,3191,8798,2908,5278,2547,6205,9793,5457,10323,1899,5012,9104,7186,12361,10297,6675,5670,2779,10761,1886,4559,5792,9764,12303,3672,8914,4939,6669,3411,6786,8888,5238,2871,1782,8569,12608,9329,4477,3290,6425,8627,6422,10352,1972,5452,2970,5699,9370,12421,9295,4593,3440,6670,3724,9009,6321,5660,2922,9485,5026,9324,4917,3302,6437,8511,3463,8813,12340,2966,6532,9794,4822,2001,5057,3385,7296,9004,12311,3522,8676,11272,6235,5509,2550,9440,1947,5293,3614,8622,9382,4968,2981,6728,3406,6913,10375,9735,5241,10318,1996,9768,12422,1022,4588,3305,6342,9030,3627,10529,5673,10434,5319,3846,8859,9411,4727,3247,8680,3195,10325,5904,2791,5299,9486,4825,1785,8431,3730,6316,8570,10516,5348,2808,6264,5458,10762,1901,4796,8651,3684,8814,3413,10298,6345,5432,2929,10408,9857,4539,5824,12672,3849,8819,4837,2542,3292,6480,8629,5510,10379,1976,5294,8572,12364,12425,3386,6206,2750,10339,1519,5674,2969,5701,9739,12370,9491,4941,6426,3496,9010,2549,5513,2924,9796,5016,9507,4478,3467,6287,8653,7180,12344,10326,5403,2895,9275,12315,1727,4918,3745,7201,8688,12385,3655,8861,6247,5242,3040,6322,9385,4947,9776,5568,3427,8871,9330,4826,2495,6438,6237,9493,5473,10300,1959,4594,7233,9372,12327,8916,4976,3359,6788,3255,10520,2002,5681,3306,9033,4838,9303,4541,3197,6346,8821,3629,10329,5323,2781,1907,9413,4567,1786,4731,8543,3732,6736,8659,3688,10530,5183,10769,6467,5460,9332,1527,5028,3414,8630,3388,10764,6536,5514,2875,10436,9386,4783,1949,8929,3313,8443,12547,2982,3850,6441,8654,5647,10381,1902,5702,8634,12372,3635,8633,11280,6914,5676,2930,10341,1759,5301,2985,5415,12426,9277,4999,3011,3417,6251,8661,10387,5405,2795,9747,12433,4921,3524,6324,8439,3469,8875,10416,5352,2553,5244,9741,12549,9858,4596,7188,12317,3475,9034,2903,5325,2972,6295,9497,4942,9494,5302,3279,6353,8930,12331,2782,6428,2877,9742,5763,10382,2017,4841,7424,9393,12386,3746,9091,4922,6792,3630,10770,9509,4828,5682,3857,8862,4542,9604,5058,3504,6238,8975,6348,5406,10561,1909,5705,9307,12803,1963,5032,3429,6442,9041,3259,10271,2018,6544,5419,9800,4571,9985,4949,3308,9012,3736,10440,6752,5474,3013,9414,4963,2004,4733,8920,3696,7202,9120,12376,10330,3659,6496,1950,1788,5331,8983,12428,3852,8559,11296,6469,5521,2986,6677,10785,9388,5305,2932,1965,9093,9336,5003,2554,6299,3777,6354,8822,10532,5516,10562,5464,9417,12318,8877,3198,6449,3314,9036,10772,5706,2797,5765,12434,9552,4583,3637,8825,3470,8903,2993,5713,3014,6691,9278,4791,5655,3418,6444,8445,3528,8883,10503,6253,5360,2803,9498,13313,10389,1991,4842,7192,12359,3430,9016,4924,2907,3477,6328,10342,9359,4849,5326,3375,9094,12550,4950,3641,6678,8878,2988,5215,10345,1910,5447,7204,9319,12553,9394,4953,6681,3316,10544,1855,5684,2878,5920,9510,4600,9309,4895,3667,6259,8932,14336,5522,2959,9860,4351,1971,5060,9042,3261,7175,8567,12449,3638,10536,6311,5476,9418,5005,1531,5427,12864,3748,8636,11267,6369,5421,2919,6470,9808,5537,10403,1913,4815,8662,9539,12333,2687,6450,3433,6916,8675,10332,2008,5333,9608,12388,3778,8607,4573,11269,6301,3661,8677,10287,5688,2936,1775,9097,9513,5011,3287,6800,8987,3858,6473,8665,10507,5952,2527,6254,9986,12928,1966,3719,6261,8826,3420,8936,10625,6356,5708,2994,13314,10786,9323,4734,3491,9044,3478,9152,4844,2798,3536,6315,10564,9396,5040,5306,3752,7297,9057,12339,8885,3873,6920,3017,5766,10448,2020,5524,7234,12436,9367,4965,2556,3434,10626,9425,5347,2909,6016,9500,4587,4795,3662,6474,8989,3481,10390,5714,10393,5538,9864,12334,1995,4850,7680,12363,3642,10405,5422,2805,5769,9310,4954,9420,5891,12554,3860,9098,6370,5480,3018,6693,9514,5659,10346,1914,4574,8907,7179,9616,12561,10295,6682,6531,10568,1533,5064,5231,9824,12805,3669,8999,4479,11328,6452,3644,6360,8666,5451,2967,1973,8828,12392,9568,5006,3291,6560,8886,3383,6415,8446,10776,1997,6423,5334,9541,12450,9749,4911,3780,6302,3670,8909,10817,6481,5429,2923,9371,9426,5072,3673,6694,8767,3723,9105,12341,2910,3493,6816,10788,9521,4966,2024,3864,7208,8990,12481,3874,9003,11273,6262,5308,2806,13316,10353,1916,5569,3683,8571,9763,5013,2996,6476,3674,6723,10394,9516,5337,10319,5528,9325,12440,1023,3482,6684,8889,3303,10509,5729,10348,5716,7236,12365,9400,4823,3760,8623,3725,10818,5671,3025,5770,9750,4589,5349,12452,3320,6533,8799,10464,5279,2971,6317,9753,5540,10406,1974,4969,8681,7298,13056,3441,10759,6265,5430,3020,10792,9331,4797,5661,12556,3262,9058,5027,6697,3436,6343,8915,5893,10435,1887,5730,8678,12562,9383,12806,3726,6928,6323,10510,1783,5777,2809,5453,9441,12342,9542,4852,11270,6372,3731,9100,6482,5239,2925,9522,4956,9988,4595,3407,6456,8910,3552,7187,9005,12371,10881,6848,9373,12345,2032,4827,3387,7181,8668,12809,3293,9048,11281,6534,5720,3000,6318,9872,9545,5459,3442,9031,9326,4919,2543,6698,3685,6725,10763,9333,5338,10515,1534,7216,9428,12400,8917,5018,3494,6537,3497,10820,5488,10531,5772,3523,8890,9387,4970,3686,6427,9106,3615,10299,5350,2751,5511,9992,5014,2003,8944,3307,6266,9060,3484,10409,5433,10800,6592,5570,13320,10354,1977,4598,3415,9011,3444,10517,6497,5662,2983,10396,9546,5029,5454,12423,3847,9006,12366,3026,3389,6705,8631,5353,10327,1787,5675,9121,12577,7182,12482,11274,6347,5894,2931,10437,1998,5295,2810,5243,9442,12373,9765,4839,6207,3294,6484,8682,10356,5778,2551,9754,12564,9603,4856,3498,6538,8815,7240,12810,10410,5732,2973,5461,9524,12346,9432,4977,3525,7425,12456,3309,8863,6671,5897,2926,6726,9632,4590,9487,5340,3631,6700,8931,9495,12427,2783,6325,6439,9374,5434,10301,1978,4798,7189,9553,12387,3905,9108,5017,11282,6429,3876,10771,9766,5544,3784,8655,4597,9888,4972,3906,6376,9035,3733,6268,10765,5515,10882,1903,9334,12374,2005,4943,3880,6349,8573,3851,10521,5793,10518,6326,5703,9548,9795,5088,3689,8689,3676,10766,6787,5475,3041,10417,9756,4543,2006,9122,3505,7300,9013,12348,10533,3792,6706,5407,10628,1951,5303,8918,12568,3888,9153,11392,6430,5354,2933,6729,10331,9605,5245,2987,5677,12377,9389,4829,3042,3908,6443,9064,10824,5780,11009,5736,9337,12578,12817,3419,6498,3969,8684,10438,5462,3028,5436,9769,12812,9415,4923,7203,12484,3315,8823,2974,5361,2812,6355,10000,5030,9395,5898,3734,6545,8921,7426,12429,10412,6329,5683,2989,9444,13328,10360,2019,4978,7194,9554,12389,3526,8892,5033,6540,3390,6488,10441,9528,5059,5465,3747,8635,12435,9920,4843,3690,6730,8933,6789,5572,10576,1789,5517,7681,9606,12464,9390,4601,3970,6737,3853,10302,1980,6679,5523,9770,4951,9797,5020,3448,6384,9037,3500,10522,14337,5327,3015,9609,4830,1911,4925,9112,3737,7248,8574,12430,3808,10383,11276,6350,5794,9499,2009,5678,12818,3639,9014,11297,6239,5905,2934,6471,10343,9338,5552,10418,2021,9043,9664,12609,2879,6708,3912,6944,8922,10534,5477,10333,5307,9569,12319,3697,8690,11329,6546,3310,9072,10884,5356,2995,5784,12488,9777,5061,3431,8934,3529,6500,8637,10442,5744,2555,6451,9419,12378,5707,3471,6445,8663,3859,8827,10832,6561,5900,2937,9279,13344,10563,9556,5034,7205,12833,3663,9124,4980,3032,3750,6357,10632,9610,4602,5825,3506,7193,8879,12580,12610,3749,6712,2799,5246,10537,2010,5362,7190,9743,12820,9798,4845,6976,3421,11010,9772,5685,2990,5518,9397,5041,9511,5062,3317,6732,9095,7304,14338,5466,10347,5576,9501,12551,1967,4851,3530,7428,9017,12437,3738,10420,6330,5478,9448,4955,9340,5525,12390,3692,8692,11284,6790,5423,3044,6548,9421,5689,10391,1915,5036,9038,7432,9398,12393,10449,6371,3435,7040,10524,2022,5364,9859,12592,3199,8937,4926,11520,6738,3263,6562,9018,10888,5715,3019,1790,8924,9778,5007,3854,6446,8638,3479,6793,9154,10334,5309,10444,6915,5686,9502,12584,9801,3508,6504,3698,9128,10538,6683,5796,2938,13315,10640,9515,4967,3643,8667,3537,9045,12451,2557,3753,6255,10848,9570,4735,5481,3318,7206,9059,12380,3779,8829,11298,6475,5826,2997,13317,10592,1535,5709,7682,12335,9427,4984,3021,3422,6358,10565,9617,5335,10773,5906,9401,12555,4575,3671,6453,9099,3740,10395,5767,10450,5468,7264,9612,12673,9560,5042,7235,12834,3862,10545,5539,3048,5526,9802,4846,9861,5584,12612,3532,6332,8679,14340,5800,2940,6593,9809,5921,10787,2012,5065,8887,7209,9751,12496,3321,10540,6361,6552,10349,9456,4604,5482,12674,3754,8938,4957,11288,6753,3645,6740,9020,5710,10424,2025,5529,8945,12438,9422,12441,3483,6695,3875,6794,9046,10774,1975,6373,5690,9311,12453,9543,4853,11300,6303,3861,9049,10777,6564,5908,2998,9780,10016,5066,3781,6454,8696,3437,7312,8991,12394,10355,3512,6685,9618,12343,2026,3700,7196,8447,12616,3761,9156,11271,6917,5717,2911,6754,13376,10407,9572,5692,3446,9101,9523,5015,2807,6801,3495,6477,10465,9517,5339,10566,5431,7237,9633,12824,8911,3538,6263,3865,10546,5828,11012,5718,7210,12865,9429,4971,3322,8669,3443,10397,5721,3056,5771,9784,4958,5541,12836,3553,6744,9107,3646,10896,5912,10569,6483,5922,10048,13321,10350,1917,4854,7684,12401,3485,10357,6362,5731,2558,10452,9804,5044,5722,12442,3675,8830,12367,6512,3438,6796,8940,5530,10411,1999,5351,9136,12557,7217,9402,12396,11393,6374,6535,11016,1918,5808,3027,5773,9862,12866,9620,5073,11330,6457,3540,6594,9061,14344,5368,3001,9443,12512,10112,5019,3727,6686,8683,3972,7242,8891,12454,10570,6478,5489,9810,12807,9634,5068,3877,7440,12840,3687,8946,11776,6377,5310,2811,6699,9518,9865,5484,3756,6918,9050,9987,12483,3022,6319,3782,6267,10466,9576,5774,10789,2033,7328,9755,12558,3501,8670,4857,11275,6802,3866,10778,13318,10627,5779,3324,9160,9327,4973,3445,6756,8575,3677,6485,10548,5455,10456,5600,9547,12929,1979,3920,6921,9102,3762,10656,5435,10511,6364,5341,13329,10519,9430,5048,3785,9007,3704,10398,6458,5490,3002,10577,9525,4591,5733,12811,3554,7688,9168,12563,10790,3878,6568,5542,10912,2028,5545,9062,12868,7456,12579,11304,6539,5571,2927,10358,9404,5734,3029,5663,12347,9665,4799,6817,3499,6727,9109,10572,5355,10819,5532,9433,12457,9624,12848,3976,6499,7696,12402,10780,5463,3030,5492,9825,12565,9812,5031,11332,7360,12444,3486,8919,6431,5895,2975,6327,9767,5074,9866,5437,3295,6378,8685,7712,9445,12375,10629,6269,6701,9375,13322,10413,2034,4979,7238,9636,12485,3735,9065,4858,11394,6804,3764,6760,10361,9526,5342,3907,8893,12404,9757,4599,3691,6486,9123,3544,6460,10793,5546,10439,1981,7212,9989,12458,9826,5021,3527,6385,3868,11024,5573,10419,6922,5357,9873,9549,4974,3881,6707,8948,3786,10468,14352,5679,3043,10578,9335,4831,2007,9052,3793,7299,8691,12349,3909,10552,11283,6489,5953,13330,10944,1982,5924,12819,3788,8923,11277,6596,5832,2813,6541,10630,9816,5954,10414,5781,12813,9555,12930,3004,3936,6547,9015,10794,5928,10821,5899,9434,12569,7249,12566,11312,6351,3882,9114,10633,5737,2935,5724,9584,12814,9868,5089,7218,12465,3678,6818,9066,10523,5553,3033,6702,9446,12581,9607,5840,3984,6929,9110,7241,12676,10362,6576,5936,3045,9529,13440,10688,9666,4981,7183,12379,3794,8694,5035,6501,3768,6331,10593,9758,5090,5956,3449,7488,9125,12872,9550,13057,3507,6380,6808,5467,10801,2011,6017,7301,9449,12486,9771,5076,11278,6768,3889,10443,9990,6731,5363,9391,5022,9339,4860,3391,6924,8935,3693,7220,10303,14368,5782,10580,9874,12460,2036,5037,3884,7191,8952,12408,3556,10634,11336,6849,5574,9828,9557,5438,12489,3502,9073,11521,6270,5795,3034,6386,10767,9993,5738,10822,2023,8686,7302,9436,12624,10796,6709,3910,6542,10421,6018,10535,5901,9530,12350,3739,8894,11285,6490,3560,6600,9113,10525,5496,2991,5548,12570,9640,5063,3311,8693,3450,6502,9068,10472,5785,10364,6549,5856,9611,12431,13324,3531,6447,3694,9039,10445,6713,5687,2939,9889,13345,10422,9799,4982,7552,12391,3699,9184,12466,3046,3509,6388,10883,9571,4927,5960,3452,7244,8639,12582,7305,12381,11396,6739,5745,2814,13377,10802,2040,5358,7250,9503,12932,9399,5043,6333,3890,6710,10526,9450,5479,10825,5577,9341,12490,9773,4603,3533,6820,8925,7224,14339,5519,10539,5907,7195,9876,12880,9832,4985,3568,7265,12611,3741,10594,6505,5711,9558,5080,9532,5798,12680,3751,6850,9019,11299,14341,5554,2559,6733,9457,5797,10451,1791,4847,9126,7207,9994,12585,3796,10641,6359,11522,6930,10425,9779,5469,13058,3913,9074,5038,11290,6791,3701,6492,9129,10636,5365,10584,2013,9155,9561,12395,3423,6563,3539,6550,8939,10826,5578,10885,6608,5786,9668,12468,9613,11777,6824,3510,8697,10833,6945,5740,3036,13332,10775,9619,5092,3809,9047,3323,7427,9116,12439,10480,3534,6506,9423,12497,5483,3514,7252,8926,12572,3513,9021,11344,6734,5247,3049,6553,13568,10446,9890,5311,7306,12936,9774,5067,2999,3541,6714,10335,10001,5902,10567,5527,7313,9648,12382,12492,3319,6932,3755,10804,5556,11040,5746,7429,9573,12586,9403,4986,7197,12688,3914,10642,5691,3050,5585,9452,4605,9880,5801,12896,3810,6741,9157,7211,14400,5366,10596,6716,5827,9840,13346,10547,2027,5045,7266,9803,12640,3971,10541,6363,6455,10657,9996,5069,5470,12613,3742,9130,12821,11301,6852,3855,6742,9076,5719,10453,2014,5788,8698,12443,7683,9921,12498,11289,6745,3921,6795,10808,2029,6565,5910,9342,12593,9458,5096,11286,6936,3892,6946,8941,11072,14345,5580,2941,9781,9614,4988,3800,6755,9137,4000,7256,9158,12835,10828,11400,6746,5369,9562,12588,9672,3863,7308,12397,3439,8947,11524,6554,5802,3023,6375,13336,10426,9574,5693,3973,9051,9621,12472,2942,6832,3702,6797,10886,9519,5531,10644,5923,7198,9785,12822,3757,9132,11528,6392,3916,10467,13348,11136,5909,7314,12825,9460,5046,3705,9022,3783,6513,10834,5829,10658,5485,9811,12403,5560,3325,6334,9103,3763,10542,5748,10889,6508,5809,9405,13319,11011,9782,4959,7239,12455,3896,10600,6798,5494,3057,10779,9892,4855,5543,12513,3974,7430,9063,12614,14342,3758,6803,5586,10351,1983,5913,8831,12594,7433,9577,13060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序列组四:Z4_16384
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序列组五:Q5_2048
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序列组五:Z5_2048
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序列组五:Q5_4096
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序列组五:Z5_4096
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序列组五:Q5_8192
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,7177,4581,6191,3599,1758,5001,5298,3278,4891,4569,3462,6411,5336,2955,1989,4730,1946,4840,3254,6529,3715,1526,6690,5712,4948,1906,5056,3636,3381,6468,5418,2535,4961,1883,4789,3856,2743,3489,6352,1773,1957,5227,3135,6530,5890,2794,1853,5446,2876,1976,4893,2801,6294,3658,6297,5321,2902,1015,3285,6309,3374,5700,2905,5667,5002,3416,3257,2552,5348,2847,6250,4811,5237,3403,6199,2303,6472,3012,5426,1751,4903,7232,3290,4570,2957,3721,4732,5275,3607,4790,4350,3357,6680,2767,5646,1993,5761,1503,4813,6721,3191,1962,5167,2525,5411,4671,5009,3665,6692,5536,2963,4894,1781,4907,3496,7178,6257,1885,4475,1908,5304,3428,6298,5449,2686,6223,5287,2796,2016,4793,2992,6413,3776,6252,1854,5660,4527,3379,6722,3275,5238,2917,1532,4703,3640,6368,3476,2539,5324,2747,6310,4585,1972,3301,6663,3399,6696,5420,2802,1774,4962,3231,3613,4819,2906,3666,6339,4582,5669,3465,1019,3524,6414,2526,5277,1895,5330,7185,5004,3016,3308,1987,5889,2431,5657,4814,4909,3260,6785,5460,2958,4572,1969,4952,7180,3849,5213,2863,5507,4935,1782,5425,3627,6667,5391,3024,6419,5242,1279,4821,2918,6724,6435,1943,4794,5568,3732,5010,6203,3681,5345,2965,1899,4848,4964,3385,6313,3289,6704,1994,6258,1663,4915,3654,6421,3872,6300,5445,2775,4910,3198,3490,4535,2541,3405,6231,5025,1964,3299,7296,3724,6341,2921,5293,1785,5674,3432,4586,2749,6260,3614,5235,2979,5776,4719,1021,3371,6314,3846,5728,5432,1935,4767,3413,3521,5294,2804,5458,4835,5699,3382,2908,5653,2547,6205,5509,1886,5012,7186,6675,5399,2779,2001,4559,5332,3696,4939,6669,3286,6786,5231,2871,1407,4477,3623,6425,6422,1779,5768,2970,5450,4593,3247,6670,3722,6321,5682,2922,5026,4917,3480,6437,3469,2966,6532,4822,1990,5057,3684,7201,3302,6235,5299,2550,1970,5278,3843,4968,2981,6728,3414,6913,5514,1879,1022,4588,3386,6342,3730,5346,5428,3635,4727,3259,3536,5670,2791,5319,4825,1902,3406,6316,5241,2808,6264,5701,1947,4796,3292,3629,6345,5892,2929,4539,5403,3195,4837,2542,3427,6480,5474,1759,5658,3320,6206,2750,1907,5452,2969,5301,4941,6426,3672,2549,5415,2924,5016,4478,3463,6287,7173,5681,2895,1527,4918,3904,7188,3492,6247,5521,3040,6322,4947,5325,3745,4826,2495,6438,6237,5705,1996,4594,7202,4976,3655,6788,3484,1786,5352,3417,4838,4541,3305,6346,3752,5488,2781,1959,4567,2002,4731,3845,6736,3717,5244,6467,5792,1913,5028,3388,3279,6536,5676,2875,4783,1949,3638,2982,3682,6441,5306,2017,5516,3522,6914,5708,2930,1534,5421,2985,5896,4999,3011,3467,6251,5230,2795,4921,3313,6324,3167,5331,2553,5457,4596,7424,3429,2903,5673,2972,6295,4942,5766,3858,6353,2782,6428,2877,5291,1788,4841,7171,3611,4922,6792,3261,4828,5360,3659,4542,5058,3411,6238,6348,5522,1910,5716,1965,5032,3478,6442,3306,2004,6544,5473,4571,4949,3736,3434,6752,5406,3013,4963,1901,4733,3662,7233,3778,6496,1966,1775,5647,3287,6469,5326,2986,6677,5510,2932,2008,5003,2554,6299,3375,6354,5302,5763,3637,6449,3852,5684,2797,5429,4583,3418,3688,2993,5904,3014,6691,4791,5537,3504,6444,3729,6253,5183,2803,1531,4842,7192,3314,4924,2907,3475,6328,4849,5706,3641,4950,3436,6678,2988,5333,1971,5422,7204,4953,6681,3262,1950,5464,2878,5305,4600,4895,3857,6259,5451,2959,4351,1909,5060,3669,7234,3630,6311,5338,5005,1991,5769,3880,6369,5655,2919,6470,5405,2018,4815,2687,6450,3528,6916,1727,5239,3746,4573,6301,3383,5713,2936,1916,5011,3420,6800,3293,6473,5544,2527,6254,1855,3470,6261,3316,6356,5476,2994,4734,3780,3725,4844,2798,3850,6315,5040,5824,3674,7182,3441,6920,3017,5427,1974,5323,7208,4965,2556,3661,5688,2909,5524,4587,4795,3494,6474,3905,5349,5447,1995,4850,7297,3387,5279,2805,5661,4954,5714,3430,6370,5513,3018,6693,5572,2020,4574,7187,6682,6531,1977,5064,5356,3748,4479,6452,3291,6360,5308,2967,1787,5006,3642,6560,3481,6415,1914,6423,5897,4911,3874,6302,3552,6481,5675,2923,5072,3683,6694,3307,2910,3968,6816,4966,2005,3723,7236,3493,6262,5780,2806,1887,5729,3197,5013,2996,6476,3407,6723,5433,5337,1023,3864,6684,3644,5702,5920,7216,4823,3719,3760,5246,3025,5538,4589,5453,3433,6533,5347,2971,6317,5772,1963,4969,7181,3670,6265,5480,3020,4797,5662,3482,5027,6697,3359,6343,5419,1998,5894,3777,6928,6323,1783,5461,2809,5569,4852,6372,3444,6482,5430,2925,4956,4595,3255,6456,3523,7680,6848,2024,4827,3497,7298,3860,6534,5744,3000,6318,5334,3734,4919,2543,6698,3310,6725,5671,1980,7190,5018,3692,6537,3667,5295,5770,3389,4970,3477,6427,3873,5528,2751,5517,5014,1903,3419,6266,3686,5732,6592,5350,1973,4598,3615,3784,6497,5891,2983,5029,5462,3733,3026,3673,6705,5434,2003,5778,7240,6347,5683,2931,1789,5307,2810,5584,4839,6207,3294,6484,5454,2551,4856,3506,6538,7193,5340,2973,5677,4977,3442,7425,3317,6671,5243,2926,6726,4590,5475,3526,6700,2783,6325,6439,5368,1997,4798,7203,3847,5017,6429,3726,5720,3908,4597,4972,3491,6376,3685,6268,5511,2032,1978,4943,3529,6349,3421,5952,6326,5540,5088,3747,3303,6787,5793,3041,4543,1917,3639,7300,3876,6706,5703,2010,5532,3500,6430,5465,2933,6729,5353,2987,5800,4829,3042,3448,6443,5893,5765,3792,6498,3704,5436,3028,5327,4923,7189,3737,2974,5686,2812,6355,5030,5730,3318,6545,7248,6329,5570,2989,1519,4978,7205,3676,5033,6540,3415,6488,5059,5515,3853,4843,3505,6730,6789,5361,2019,5215,7426,4601,3969,6737,3631,2006,6679,5477,4951,5020,3435,6384,3690,5906,3015,4830,1951,4925,3315,7194,3532,6350,5659,1911,5309,3498,6239,5707,2934,6471,5459,2021,2879,6708,3731,6944,5526,5354,3390,6546,3859,5784,2995,5482,5061,3753,3479,6500,5710,2555,6451,5826,3309,6445,3888,6561,5335,2937,5034,7304,3698,4980,3032,3808,6357,4602,5423,3538,7210,3663,6712,2799,5685,2009,5900,7264,4845,6976,3750,5466,2990,5736,5041,5062,3906,6732,7179,5552,5777,1790,4851,3471,7681,3508,6330,5362,4955,5523,3431,6790,5689,3044,6548,5484,2026,5036,7235,6371,3740,7040,1975,5310,3689,4926,6738,3862,6562,5905,3019,2012,5007,3525,6446,3321,6793,5717,6915,5678,3560,6504,3781,6683,5928,2938,4967,3646,3422,2557,3854,6255,4735,5576,3970,7196,3697,6475,5794,2997,1967,5431,7312,4984,3021,3445,6358,5468,5341,4575,3537,6453,3756,5518,5364,7206,5042,7428,3675,5828,3048,5773,4846,5898,3738,6332,5722,2940,6593,5489,1915,5065,7217,3322,6361,6552,4604,5709,3486,4957,6753,3865,6740,5542,2025,5953,3438,6695,3512,6794,2022,6373,5435,4853,6303,3916,6564,5478,2998,5066,3199,6454,3779,7237,3554,6685,1981,3875,7432,3645,6917,5796,2911,6754,5339,3499,5015,2807,6801,3912,6477,5690,5529,7209,3762,6263,3749,5922,5600,7242,4971,3443,3851,5731,3056,5355,4958,6016,3671,6744,3530,5771,6483,5541,1918,4854,7328,3324,6362,5245,2558,5044,5455,3483,6512,3700,6796,5912,2033,5692,7175,6374,6535,1999,5767,3027,5808,5073,6457,3540,6594,5481,3001,5019,3976,6686,3877,7682,6478,5718,5068,3437,7220,3786,6377,5530,2811,6699,5407,3920,6918,3022,6319,3501,6267,5825,2028,7299,3691,4857,6802,3761,5492,3866,4973,3263,6756,3450,6485,5303,5571,1533,3677,6921,3568,5545,6364,5908,5048,3878,3739,6458,5782,3002,4591,5358,3507,7249,3782,6568,5740,2011,5715,7212,6539,5437,2927,5525,3029,5921,4799,6817,3553,6727,5467,5734,3754,6499,7440,5663,3030,5832,5031,7238,3972,6431,5781,2975,6327,5074,5721,3881,6378,7195,6269,6701,1982,4979,7360,3687,4858,6804,3495,6760,5342,3794,4599,3391,6486,3727,6460,5554,2034,7301,5021,3868,6385,3809,5490,6922,5365,4974,3527,6707,3323,5574,3043,4831,1979,3788,7218,3449,6489,5895,2023,5774,3936,6596,5956,2813,6541,5539,5733,3004,3544,6547,5577,5469,7256,6351,3909,5795,2935,5351,5089,7684,3485,6818,5687,3033,6702,5924,3768,6929,7244,6576,5548,3045,4981,7183,3678,5035,6501,3861,6331,5090,5496,3510,7306,3446,6380,6808,5840,2013,5752,7456,5076,6768,3693,6731,5785,5022,4860,3896,6924,3735,7224,5366,2036,5037,3295,7266,3764,6849,5724,5463,3984,6270,5901,3034,6386,5553,2007,7207,6709,3531,6542,6017,5679,3699,6490,3793,6600,5483,2991,5738,5063,3907,3556,6502,5363,6549,5580,3882,6447,3502,6713,5546,2939,4982,7688,3889,3046,3643,6388,4927,5779,3326,7302,7241,6739,5438,2814,2030,5907,7427,5043,6333,3513,6710,5801,5527,4603,3757,6820,7313,5357,5936,7198,4985,3812,7252,3694,6505,5746,5080,5856,3785,6850,5586,2559,6733,5711,2014,4847,7488,3533,6359,6930,5798,3452,5038,6791,3741,6492,5954,2040,3914,6563,4000,6550,5519,6608,5556,6824,3539,6945,5479,3036,5092,3705,3800,7213,3855,6506,5788,3447,7308,3892,6734,5737,3049,6553,5910,7430,5067,2999,3702,6714,5573,5369,7265,3974,6932,3755,5608,5829,7696,4986,7250,3439,5694,3050,5470,4605,5902,3516,6741,7219,6018,6716,5745,1535,5045,7330,3884,6363,6455,5069,5493,3542,6852,3921,6742,5585,2027,5804,7433,6745,3319,6795,2029,6565,5723,5096,6936,3742,6946,5786,2941,4988,3971,6755,3509,7191,6746,5370,3796,7316,3763,6554,5534,3023,6375,5913,3910,2942,6832,3863,6797,5486,5560,7272,3545,6392,3701,5964,7214,5046,3558,3810,6513,5247,5827,5602,3890,6334,3423,5923,6508,5693,4959,7712,3751,6798,5547,3057,4855,5960,3514,7239,3922,6803,5810,2035,5797,7305,6479,6624,5491,3003,5899,5104,6459,3787,6365,5719,5578,3534,6514,3978,7429,6757,5372,4606,7552,3937,6566,5531,3052,6569,5748,3706,6595,7221,6758,3869,6687,2037,7442,3766,5075,6379,3977,6556,5588,3647,5049,3555,6487,3824,6516,6024,5925,7329,3453,6919,3783,5485,6461,5834,4859,3879,3541,5968,3058,5070,5549,4032,7683,3503,6366,5739,1791,5809,7243,6570,5914,3005,5311,5498,6597,3913,6381,5725,5616,7268,6703,7314,5926,3031,5787,5050,7436,3758,6977,5555,3006,6948,5830,3562,6856,7226,6978,6805,4975,7197,3924,5077,6952,3816,6923,5601,3769,7361,3986,6761,3708,6748,5802,2038,7685,5078,6577,3548,6864,6020,5023,3451,6960,3940,7245,5929,2041,3867,7320,3789,6980,5735,5543,3564,6491,5842,3035,7041,5439,5775,7280,3980,6387,5916,5857,7441,6806,3511,5575,3060,5371,5091,7744,3891,6598,5836,6462,5497,3797,6819,7254,6762,5984,3047,4861,7225,3886,7042,3325,6925,5052,5592,3695,7458,7364,6520,6572,1919,5957,7690,4983,6809,3973,6880,5533,5081,3546,6711,3790,7251,5816,7336,5093,3561,7222,3928,6984,5726,5909,3765,6769,5558,3064,6382,5494,2042,7303,4001,6503,6601,5741,3885,6543,3915,6931,5944,5783,3679,3517,6735,5343,6822,5812,6578,3795,6821,6032,2815,5082,7434,3952,7686,3772,6493,5579,3572,7444,7246,6389,5747,3037,5841,7332,5039,6602,3454,6810,5955,5604,7257,3802,6764,7697,5930,5550,7307,4987,7457,3870,6507,5937,5094,5691,3883,6271,7211,5374,6335,2039,4862,7269,3547,6926,6551,5561,3992,6580,3911,6770,5805,2044,7362,6715,3938,6609,5860,6825,5742,6390,3515,6851,5833,3051,4607,3570,3811,7490,6494,5581,3743,7228,3898,6743,5500,3038,6812,5789,7692,3053,3985,6934,5962,6048,7309,7464,6604,3770,5587,7267,5084,7344,3893,6393,5753,5848,5903,3543,6826,7808,5495,6717,5940,5097,7315,3703,6555,6947,5047,5750,3813,7260,4004,6933,6022,2043,5803,7448,6853,6509,6584,5487,5098,6772,3535,6833,5564,3798,6518,3917,7368,6567,5932,7700,3569,6610,5590,3007,6937,5969,3944,7274,6394,3311,6515,5367,7318,3988,6625,3818,6718,5790,7492,4989,3925,3557,6557,6019,5557,7253,3759,6747,3804,5844,6510,5811,5071,7689,3894,5958,3059,4990,5911,4008,7431,7199,6612,5593,2031,5749,7714,6799,7044,5606,5858,6949,3832,6759,5938,5471,7310,6828,3918,7553,6854,5799,5105,7331,3710,6573,5562,3061,6938,5970,4033,6396,7258,6517,6749,7376,3801,5051,6992,3975,6834,5835,3576,3897,6857,3930,6776,5582,6026,7460,6626,3814,6950,5985,5100,3559,4002,7276,5754,5917,3767,7227,3825,6571,5814,6025,7321,7048,5695,2943,5603,5872,7713,3487,6558,5501,5831,7435,6367,7270,5927,3054,5589,5106,7698,3926,6807,6080,6836,5551,3939,6979,7472,6763,6616,5053,7281,3987,6599,3709,6940,5961,3550,7333,7745,6953,4034,6858,1983,7392,5079,6865,3900,6981,5806,5054,3982,6860,3771,7230,5610,7446,3820,7496,3563,7008,5972,5864,3945,5817,3062,6954,6034,5756,7317,3518,6750,5596,7338,7056,3791,5499,5988,7247,3979,6866,5915,6840,5837,6521,7568,6579,5612,3065,5083,7437,4016,7704,3929,6961,6028,3942,7273,7936,6463,6765,5559,7324,5108,6956,3817,6628,5939,7489,3565,6574,3826,7716,5845,7282,5095,7443,3989,6982,5934,5373,3871,6811,7363,5743,6632,2046,7255,3707,6383,6522,6021,4040,6603,3923,6766,5594,5838,7554,3803,6771,5609,6581,5976,6524,3549,5813,3066,5112,7345,3948,7752,6962,6049,3773,7322,7438,6605,5933,3039,5963,7687,6640,3981,6813,5727,5565,7334,7461,6823,7284,5843,7223,4863,7365,3887,6868,6000,5820,3573,6985,7449,5620,6773,5085,7728,4003,6495,6611,5502,4036,7504,3932,6582,5850,2047,7259,6881,6395,6606,5918,6586,3774,6585,5931,3996,3828,7810,6613,5595,7693,3566,6391,6040,3068,6827,5959,7340,7370,3815,6986,5986,7556,7271,6882,3953,5563,7288,5099,7452,3899,7043,5618,5859,7746,3941,6814,7462,5791,6927,5946,5086,7229,3993,6993,5101,6033,3805,7699,7337,6964,2015,5818,7720,6872,7072,5941,6935,3578,6511,5591,7520,7045,4006,7377,6774,5751,7465,3519,6829,5861,3055,6988,6052,4048,7348,6777,6855,7262,3895,6397,3946,6835,5583,7445,3571,3990,6968,5846,5965,7319,7046,4009,6830,5617,5055,7812,3919,7366,5992,5359,3819,7560,7277,6884,6036,5866,7491,6994,6519,5973,5605,7702,3577,6588,5807,5852,7450,6614,7311,6627,5942,5107,7691,3960,6559,6056,6629,3806,7049,7346,6939,6617,7384,4037,6778,3994,6888,5880,3574,7760,6996,3954,7104,5966,7466,7009,3931,6837,5758,5109,3821,4005,7275,6081,7938,3901,7494,4024,6941,5849,6023,7369,5624,3063,5945,5978,7748,7715,7050,5862,7396,6859,7285,5607,6050,7474,3799,6951,5815,6618,5873,6780,7323,6838,6398,4991,7694,4041,7809,3551,6861,5535,4010,7215,7459,6719,7057,7584,5102,6942,3829,6955,5974,3933,6523,3956,7352,5987,7497,7335,4064,6841,6035,5757,3902,7708,5598,6575,6082,7286,3580,6751,5948,7372,6633,4020,6030,5819,7468,3822,7010,5868,6867,5611,6630,7717,5993,3067,5110,7325,3943,7378,7052,5566,4035,7937,7705,6862,6957,5839,7508,6620,4017,7000,6027,7261,7555,6983,3830,7473,7439,5113,7290,3327,6869,6064,5977,3991,6842,7616,5990,7058,7393,3947,6896,7012,5865,4042,3711,6963,5613,5874,7493,6958,6583,6037,7073,4012,5919,7341,3833,7722,6634,5755,7283,7824,6767,6088,3069,5971,7776,7480,3983,6815,5851,7342,7506,6883,7747,5597,7701,5114,7557,3934,7060,5996,7447,4049,6607,7380,5821,6987,5087,7279,3455,6525,6029,3827,7816,7498,6641,2045,7730,7074,6965,5935,6870,4038,7105,5621,7347,4018,7326,7016,6051,7562,3927,6084,3070,6636,5980,7394,7476,6775,7718,7367,6873,3950,5822,7289,7749,3995,6844,6044,5876,7940,6587,7451,6885,5614,5116,7522,3807,7706,5863,3955,7500,7349,6989,6001,7463,7064,6526,5947,7729,3575,6966,5989,7569,6995,7373,6874,6041,7753,4044,6642,5853,7024,3834,7400,6886,6589,7536,4007,6615,4050,6779,5626,7292,7840,3961,7076,6054,7724,6831,3997,5567,5103,7354,4065,7564,6096,7756,3582,7469,7944,7047,5943,5994,7278,6969,5619,6038,7379,7505,6644,6057,7721,6990,7814,5967,7339,3836,6889,5867,6970,6876,7408,6590,7106,7570,3958,7764,4013,7080,5625,4052,7521,6619,6997,7454,7011,3949,6781,6008,4014,3823,7695,5854,7374,7558,4056,7051,6085,6042,7350,7811,5622,6002,7732,7477,6631,5979,7952,6839,7585,5869,6053,7231,3579,6890,5949,6972,6072,6897,7754,6998,5111,7381,4019,7470,7001,3998,7512,7353,6648,6943,7499,6399,3957,7108,5847,7386,7053,4039,7817,7703,7453,4066,6863,6089,5599,3775,7287,6058,6621,7761,3964,7059,5877,7592,3903,5981,6004,7524,6782,6892,6112,7088,7872,5950,7475,4022,7371,7013,5628,7736,7572,6635,6843,6068,7397,7495,4043,6898,5870,7327,7709,7002,7762,7561,5115,7620,4068,6622,5991,4025,7112,7404,6083,6527,7356,3835,7054,6065,3962,7945,6959,5878,7723,7120,5375,7014,4053,6039,7828,3935,7777,7061,5995,7481,7385,6090,3071,5759,7750,7968,6871,7294,7586,6637,7501,6060,7395,7820,4011,7017,5881,7528,6845,7710,7075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序列组五:Z5_8192
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序列组五:Q5_16384
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0,12316,3135,8881,11268,6530,5890,2794,10311,1853,5446,2876,1976,8566,9416,4893,2801,6294,3658,6297,8615,10502,5321,2902,9748,12357,1015,3285,6309,8658,3374,8985,10505,5700,2905,5667,12330,9322,5002,3416,8442,3257,8563,2552,5348,2847,6250,9366,4811,5237,3403,6199,8673,8766,2303,6472,3012,9540,5426,10401,1751,4903,7232,12804,3290,8605,4570,2957,3721,10816,9301,4732,5275,3607,8795,4790,4350,3357,6680,8558,2767,5646,10285,1993,5761,9737,12337,1503,4813,6721,3191,10340,1962,5167,2525,5411,9479,4671,9247,5009,3665,8660,6692,5536,2963,9762,4894,1781,4907,8847,3496,7178,9092,12362,10880,6257,1885,4475,1908,5304,8997,12560,3428,8807,11265,6298,5449,2686,6223,9358,5287,2796,2016,8876,9601,4793,2992,6413,3776,6252,8902,10291,1854,5660,9379,12448,8621,4527,3379,6722,3275,8986,10388,5238,2917,1532,8444,9306,4703,3640,6368,8565,3476,8797,2539,5324,2747,6310,9424,4585,1972,3301,6663,9040,3399,8882,10286,6696,5420,2802,13314,10315,1774,4962,3231,8905,3613,8824,4819,2906,3666,6339,10506,9508,4582,5669,3465,8674,12808,1019,3524,6414,8998,2526,5277,10513,1895,5330,7185,12576,9324,5004,3016,3308,10757,1987,5889,2431,5657,9275,4814,4909,3260,6785,8619,10344,5460,2958,9369,4572,1969,4952,9096,7180,12816,3849,10402,5213,2863,5507,9761,4935,1782,5425,12480,3627,8606,6667,5391,3024,6419,9483,5242,10293,1279,4821,8415,9318,12832,2918,6724,6435,10433,1943,4794,5568,9746,12358,3732,8855,5010,11272,6203,3681,8884,5345,2965,1899,9027,4848,9520,4964,3385,6313,8811,3289,6704,8664,10392,1994,6258,9329,12332,1663,4915,3654,6421,8647,3872,8988,10317,6300,5445,2775,9381,9793,4910,3198,9001,3490,8906,4535,2541,3405,6231,10404,9440,5025,1964,3299,7296,8913,12419,9029,3724,6341,2921,5293,11008,1785,5674,3432,8908,9278,4586,2749,6260,3614,10508,9494,5235,2979,5776,9544,4719,1021,3371,6314,9056,3846,10514,5728,10758,5432,12369,1935,4767,3413,9002,3521,10294,5294,2804,5458,9365,4835,5699,12338,3382,8798,2908,5653,2547,6205,9386,5509,10323,1886,5012,9104,7186,12361,10297,6675,5399,2779,10761,2001,4559,5332,9295,12303,3696,8914,4939,6669,3286,6786,8888,5231,2871,1407,8569,12608,9616,4477,3623,6425,8627,6422,10352,1779,5768,2970,5450,9485,12421,9752,4593,3247,6670,3722,9009,6321,5682,2922,9321,5026,9984,4917,3480,6437,8511,3469,8813,12340,2966,6532,9372,4822,1990,5057,3684,7201,9004,12311,3302,8676,11264,6235,5299,2550,9537,1970,5278,3843,8622,9764,4968,2981,6728,3414,6913,10375,9330,5514,10318,1879,9491,12422,1022,4588,3386,6342,9030,3730,10529,5346,10434,5428,3635,8859,9411,4727,3259,8680,3536,10325,5670,2791,5319,9303,4825,1902,8431,3406,6316,8570,10516,5241,2808,6264,5701,10762,1947,4796,8651,3292,8814,3629,10298,6345,5892,2929,10408,9602,4539,5403,12672,3195,8819,4837,2542,3427,6480,8629,5474,10379,1759,5658,8572,12364,12425,3320,6206,2750,10339,1907,5452,2969,5301,9393,12370,9800,4941,6426,3672,9010,2549,5415,2924,9370,5016,9486,4478,3463,6287,8653,7173,12344,10326,5681,2895,9735,12315,1527,4918,3904,7188,8688,12385,3492,8861,6247,5521,3040,6322,9382,4947,9509,5325,3745,8871,9332,4826,2495,6438,6237,9271,5705,10300,1996,4594,7202,9413,12327,8916,4976,3655,6788,3484,10520,1786,5352,3417,9033,4838,9497,4541,3305,6346,8821,3752,10329,5488,2781,1959,9776,4567,2002,4731,8543,3845,6736,8659,3717,10530,5244,10769,6467,5792,9552,1913,5028,3388,8630,3279,10764,6536,5676,2875,10436,9307,4783,1949,8929,3638,8443,12547,2982,3682,6441,8654,5306,10381,2017,5516,8634,12372,3522,8633,11280,6914,5708,2930,10341,1534,5421,2985,5896,12426,9858,4999,3011,3467,6251,8661,10387,5230,2795,9741,12433,4921,3313,6324,8439,3167,8875,10416,5331,2553,5457,9388,12549,9418,4596,7424,12317,3429,9034,2903,5673,2972,6295,9604,4942,9319,5766,3858,6353,8930,12331,2782,6428,2877,9336,5291,10382,1788,4841,7171,9500,12386,3611,9091,4922,6792,3261,10770,9794,4828,5360,3659,8862,4542,9510,5058,3411,6238,8975,6348,5522,10561,1910,5716,9277,12803,1965,5032,3478,6442,9041,3306,10271,2004,6544,5473,9747,4571,9385,4949,3736,9012,3434,10440,6752,5406,3013,9768,4963,1901,4733,8920,3662,7233,9120,12376,10330,3778,6496,1966,1775,5647,8983,12428,3287,8559,11296,6469,5326,2986,6677,10785,9568,5510,2932,2008,9093,9425,5003,2554,6299,3375,6354,8822,10532,5302,10562,5763,9513,12318,8877,3637,6449,3852,9036,10772,5684,2797,5429,12434,9396,4583,3418,8825,3688,8903,2993,5904,3014,6691,9310,4791,5537,3504,6444,8445,3729,8883,10503,6253,5183,2803,9493,13316,10389,1531,4842,7192,12359,3314,9016,4924,2907,3475,6328,10342,9367,4849,5706,3641,9094,12550,4950,3436,6678,8878,2988,5333,10345,1971,5422,7204,9860,12553,9414,4953,6681,3262,10544,1950,5464,2878,5305,9608,4600,9325,4895,3857,6259,8932,14336,5451,2959,9539,4351,1909,5060,9042,3669,7234,8567,12449,3630,10536,6311,5338,9750,5005,1991,5769,12864,3880,8636,11270,6369,5655,2919,6470,9498,5405,10403,2018,4815,8662,9359,12333,2687,6450,3528,6916,8675,10332,1727,5239,9739,12388,3746,8607,4573,11273,6301,3383,8677,10287,5713,2936,1916,9097,9394,5011,3420,6800,8987,3293,6473,8665,10507,5544,2527,6254,9432,12928,1855,3470,6261,8826,3316,8936,10625,6356,5476,2994,13313,10786,9808,4734,3780,9044,3725,9152,4844,2798,3850,6315,10564,9514,5040,5824,3674,7182,9057,12339,8885,3441,6920,3017,5427,10448,1974,5323,7208,12436,9323,4965,2556,3661,10626,9986,5688,2909,5524,9542,4587,4795,3494,6474,8989,3905,10390,5349,10393,5447,9417,12334,1995,4850,7297,12363,3387,10405,5279,2805,5661,9796,4954,9763,5714,12554,3430,9098,6370,5513,3018,6693,9444,5572,10346,2020,4574,8907,7187,9333,12561,10295,6682,6531,10568,1977,5064,5356,9522,12805,3748,8999,4479,11328,6452,3291,6360,8666,5308,2967,1787,8828,12392,9371,5006,3642,6560,8886,3481,6415,8446,10776,1914,6423,5897,9742,12450,9857,4911,3874,6302,3552,8909,10817,6481,5675,2923,9263,9507,5072,3683,6694,8767,3307,9105,12341,2910,3968,6816,10788,9632,4966,2005,3723,7236,8990,12481,3493,9003,11274,6262,5780,2806,13320,10353,1887,5729,3197,8571,9400,5013,2996,6476,3407,6723,10394,9545,5433,10319,5337,9383,12440,1023,3864,6684,8889,3644,10509,5702,10348,5920,7216,12365,9756,4823,3719,8623,3760,10818,5246,3025,5538,9334,4589,5453,12452,3433,6533,8799,10464,5347,2971,6317,9420,5772,10406,1963,4969,8681,7181,13056,3670,10759,6265,5480,3020,10792,9516,4797,5662,12556,3482,9058,5027,6697,3359,6343,8915,5419,10435,1998,5894,8678,12562,9765,12806,3777,6928,6323,10510,1783,5461,2809,5569,9373,12342,9426,4852,11281,6372,3444,9100,6482,5430,2925,9985,4956,9753,4595,3255,6456,8910,3523,7680,9005,12371,10881,6848,9556,12345,2024,4827,3497,7298,8668,12809,3860,9048,11276,6534,5744,3000,6318,9309,9603,5334,3734,9031,9521,4919,2543,6698,3310,6725,10763,9487,5671,10515,1980,7190,9338,12400,8917,5018,3692,6537,3667,10820,5295,10531,5770,3389,8890,9664,4970,3477,6427,9106,3873,10299,5528,2751,5517,9441,5014,1903,8944,3419,6266,9060,3686,10409,5732,10800,6592,5350,13312,10354,1973,4598,3615,9011,3784,10517,6497,5891,2983,10396,9541,5029,5462,12423,3733,9006,12366,3026,3673,6705,8631,5434,10327,2003,5778,9121,12577,7240,12482,11392,6347,5683,2931,10437,1789,5307,2810,5584,9389,12373,9770,4839,6207,3294,6484,8682,10356,5454,2551,9331,12564,9872,4856,3506,6538,8815,7193,12810,10410,5340,2973,5677,9824,12346,9528,4977,3442,7425,12456,3317,8863,6671,5243,2926,6726,9390,4590,9554,5475,3526,6700,8931,9795,12427,2783,6325,6439,9749,5368,10301,1997,4798,7203,9605,12387,3847,9108,5017,11282,6429,3726,10771,9495,5720,3908,8655,4597,9428,4972,3491,6376,9035,3685,6268,10765,5511,10882,2032,9327,12374,1978,4943,3529,6349,8573,3421,10521,5952,10518,6326,5540,9864,9546,5088,3747,8689,3303,10766,6787,5793,3041,10417,9778,4543,1917,9122,3639,7300,9013,12348,10533,3876,6706,5703,10628,2010,5532,8918,12568,3500,9153,11297,6430,5465,2933,6729,10331,9395,5353,2987,5800,12377,9374,4829,3042,3448,6443,9064,10824,5893,11009,5765,9610,12578,12817,3792,6498,3704,8684,10438,5436,3028,5327,9442,12812,9524,4923,7189,12484,3737,8823,2974,5686,2812,6355,9766,5030,9415,5730,3318,6545,8921,7248,12429,10412,6329,5570,2989,9337,13328,10360,1519,4978,7205,9797,12389,3676,8892,5033,6540,3415,6488,10441,9988,5059,5515,3853,8635,12435,9499,4843,3505,6730,8933,6789,5361,10576,2019,5215,7426,9570,12464,9754,4601,3969,6737,3631,10302,2006,6679,5477,9548,4951,9397,5020,3435,6384,9037,3690,10522,14337,5906,3015,9511,4830,1951,4925,9112,3315,7194,8574,12430,3532,10383,11269,6350,5659,9777,1911,5309,12818,3498,9014,11284,6239,5707,2934,6471,10343,9617,5459,10418,2021,9043,9421,12609,2879,6708,3731,6944,8922,10534,5526,10333,5354,9801,12319,3390,8690,11298,6546,3859,9072,10884,5784,2995,5482,12488,9448,5061,3753,8934,3479,6500,8637,10442,5710,2555,6451,9584,12378,5826,3309,6445,8663,3888,8827,10832,6561,5335,2937,9340,13344,10563,9888,5034,7304,12833,3698,9124,4980,3032,3808,6357,10632,9772,4602,5423,3538,7210,8879,12580,12610,3663,6712,2799,5685,10537,2009,5900,7264,9402,12820,9612,4845,6976,3750,11010,9804,5466,2990,5736,9517,5041,9992,5062,3906,6732,9095,7179,14338,5552,10347,5777,9326,12551,1790,4851,3471,7681,9017,12437,3508,10420,6330,5362,9427,4955,9553,5523,12390,3431,8692,11520,6790,5689,3044,6548,9769,5484,10391,2026,5036,9038,7235,9862,12393,10449,6371,3740,7040,10524,1975,5310,9387,12592,3689,8937,4926,11267,6738,3862,6562,9018,10888,5905,3019,2012,8924,9456,5007,3525,6446,8638,3321,6793,9154,10334,5717,10444,6915,5678,9618,12584,9812,3560,6504,3781,9128,10538,6683,5928,2938,13318,10640,9569,4967,3646,8667,3422,9045,12451,2557,3854,6255,10848,9502,4735,5576,3970,7196,9059,12380,3697,8829,11329,6475,5794,2997,13321,10592,1967,5431,7312,12335,9743,4984,3021,3445,6358,10565,9422,5468,10773,5341,9606,12555,4575,3537,6453,9099,3756,10395,5518,10450,5364,7206,9398,12673,9859,5042,7428,12834,3675,10545,5828,3048,5773,9780,4846,9525,5898,12612,3738,6332,8679,14340,5722,2940,6593,10000,5489,10787,1915,5065,8887,7217,9633,12496,3322,10540,6361,6552,10349,9279,4604,5709,12674,3486,8938,4957,11288,6753,3865,6740,9020,5542,10424,2025,5953,8945,12438,9802,12441,3438,6695,3512,6794,9046,10774,2022,6373,5435,9429,12453,9518,4853,11300,6303,3916,9049,10777,6564,5478,2998,9560,9401,5066,3199,6454,8696,3779,7237,8991,12394,10355,3554,6685,9547,12343,1981,3875,7432,8447,12616,3645,9156,11330,6917,5796,2911,6754,13376,10407,9434,5339,3499,9101,9865,5015,2807,6801,3912,6477,10465,9751,5690,10566,5529,7209,9501,12824,8911,3762,6263,3749,10546,5922,11012,5600,7242,12865,9335,4971,3443,8669,3851,10397,5731,3056,5355,9809,4958,6016,12836,3671,6744,9107,3530,10896,5771,10569,6483,5541,9640,13322,10350,1918,4854,7328,12401,3324,10357,6362,5245,2558,10452,9572,5044,5455,12442,3483,8830,12367,6512,3700,6796,8940,5912,10411,2033,5692,9136,12557,7175,9920,12396,11278,6374,6535,11016,1999,5767,3027,5808,9523,12866,9419,5073,11304,6457,3540,6594,9061,14344,5481,3001,9784,12512,9620,5019,3976,6686,8683,3877,7682,8891,12454,10570,6478,5718,9445,12807,9543,5068,3437,7220,12840,3786,8946,11393,6377,5530,2811,6699,9375,9757,5407,3920,6918,9050,9810,12483,3022,6319,3501,6267,10466,9609,5825,10789,2028,7299,9668,12558,3691,8670,4857,11283,6802,3761,10778,13329,10627,5492,3866,9160,9452,4973,3263,6756,8575,3450,6485,10548,5303,10456,5571,9404,12929,1533,3677,6921,9102,3568,10656,5545,10511,6364,5908,13324,10519,9993,5048,3878,9007,3739,10398,6458,5782,3002,10577,9771,4591,5358,12811,3507,7249,9168,12563,10790,3782,6568,5740,10912,2011,5715,9062,12868,7212,12579,11332,6539,5437,2927,10358,9876,5525,3029,5921,12347,9825,4799,6817,3553,6727,9109,10572,5467,10819,5734,9529,12457,9433,12848,3754,6499,7440,12402,10780,5663,3030,5832,9798,12565,10016,5031,11312,7238,12444,3972,8919,6431,5781,2975,6327,9342,5074,9634,5721,3881,6378,8685,7195,9549,12375,10629,6269,6701,9443,13440,10413,1982,4979,7360,9868,12485,3687,9065,4858,11277,6804,3495,6760,10361,9576,5342,3794,8893,12404,9758,4599,3391,6486,9123,3727,6460,10793,5554,10439,2034,7301,9515,12458,9990,5021,3868,6385,3809,11024,5490,10419,6922,5365,9557,9665,4974,3527,6707,8948,3323,10468,14352,5574,3043,10578,9526,4831,1979,9052,3788,7218,8691,12349,3449,10552,11776,6489,5895,13330,10944,2023,5774,12819,3936,8923,11394,6596,5956,2813,6541,10630,9840,5539,10414,5733,12813,9430,12930,3004,3544,6547,9015,10794,5577,10821,5469,9767,12569,7256,12566,11286,6351,3909,9114,10633,5795,2935,5351,9391,12814,9866,5089,7684,12465,3485,6818,9066,10523,5687,3033,6702,9624,12581,9613,5924,3768,6929,9110,7244,12676,10362,6576,5548,3045,9828,13345,10688,9446,4981,7183,12379,3678,8694,5035,6501,3861,6331,10593,9987,5090,5496,3510,7306,9125,12872,9558,13057,3446,6380,6808,5840,10801,2013,5752,7456,9530,12486,9874,5076,11336,6768,3693,10443,9779,6731,5785,9403,5022,9680,4860,3896,6924,8935,3735,7224,10303,14368,5366,10580,9550,12460,2036,5037,3295,7266,8952,12408,3764,10634,11289,6849,5724,9436,9773,5463,12489,3984,9073,11521,6270,5901,3034,6386,10767,9339,5553,10822,2007,8686,7207,9571,12624,10796,6709,3531,6542,10421,6017,10535,5679,9464,12350,3699,8894,11299,6490,3793,6600,9113,10525,5483,2991,5738,12570,9816,5063,3907,8693,3556,6502,9068,10472,5363,10364,6549,5580,9607,12431,13317,3882,6447,3502,9039,10445,6713,5546,2939,10048,13332,10422,9636,4982,7688,12391,3889,9184,12466,3046,3643,6388,10883,9889,4927,5779,3326,7302,8639,12582,7241,12381,11396,6739,5438,2814,13346,10802,2030,5907,7427,9799,12932,9628,5043,6333,3513,6710,10526,9561,5801,10825,5527,9449,12490,9896,4603,3757,6820,8925,7313,14339,5357,10539,5936,7198,9989,12880,9861,4985,3812,7252,12611,3694,10594,6505,5746,9532,5080,9423,5856,12680,3785,6850,9019,11285,14341,5586,2559,6733,9782,5711,10451,2014,4847,9126,7488,9826,12585,3533,10641,6359,11344,6930,10425,9666,5798,13058,3452,9074,5038,11301,6791,3741,6492,9129,10636,5954,10584,2040,9155,9611,12395,3914,6563,4000,6550,8939,10826,5519,10885,6608,5556,9457,12468,9311,11522,6824,3539,8697,10833,6945,5479,3036,13568,10775,9573,5092,3705,9047,3800,7213,9116,12439,10480,3855,6506,10002,12497,5788,3447,7308,8926,12572,3892,9021,11290,6734,5737,3049,6553,13315,10446,9755,5910,7430,12936,9405,5067,2999,3702,6714,10335,9803,5573,10567,5369,7265,9555,12382,12492,3974,6932,3755,10804,5608,11040,5829,7696,9622,12586,9450,4986,7250,12688,3439,10642,5694,3050,5470,9880,4605,9578,5902,12896,3516,6741,9157,7219,14400,6018,10596,6716,5745,9806,13377,10547,1535,5045,7330,9922,12640,3884,10541,6363,6455,10657,9431,5069,5493,12613,3542,9130,12821,11400,6852,3921,6742,9076,5585,10453,2027,5804,8698,12443,7433,9519,12498,11306,6745,3319,6795,10808,2029,6565,5723,9781,12593,9996,5096,11360,6936,3742,6946,8941,11072,14345,5786,2941,9562,9832,4988,3971,6755,9137,3509,7191,9158,12835,10828,11275,6746,5370,9648,12588,9873,3796,7316,12397,3763,8947,11777,6554,5534,3023,6375,13336,10426,9458,5913,3910,9051,9619,12472,2942,6832,3863,6797,10886,9785,5486,10644,5560,7272,9580,12822,3545,9132,11331,6392,3701,10467,13348,11136,5964,7214,12825,9406,5046,3558,9022,3810,6513,10834,5247,10658,5827,10001,12403,5602,3890,6334,9103,3423,10542,5923,10889,6508,5693,9813,13378,11011,9774,4959,7712,12455,3751,10600,6798,5547,3057,10779,10024,4855,5960,12513,3514,7239,9063,12614,14342,3922,6803,5810,10351,2035,5797,8831,12594,7305,9672,1306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序列组五:Z5_16384
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序列组六:Q6_2048
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序列组六:Z6_2048
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序列组六:Q6_4096
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序列组六:Z6_4096
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序列组六:Q6_8192
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,3462,2955,5402,4566,5263,4579,3254,3715,3636,3381,2535,3856,1957,1853,2743,3489,3135,2794,5643,4511,7174,6307,4581,5001,6236,7177,1976,1015,2876,2801,5298,4891,4569,5336,6191,6411,4730,4840,3658,2902,3285,3374,6529,6690,5712,4948,6468,6352,6530,6294,1751,1993,1503,1962,5056,5418,6297,6309,4961,4789,6250,6199,2905,3416,3257,2552,5227,5890,5446,4893,5321,5700,5667,5002,6472,7232,5348,4811,2847,3403,2303,3012,5237,5426,4903,4570,1781,1885,3290,2957,4732,5275,4790,4350,1908,2016,3721,3607,5646,5761,6680,6721,3357,2767,3191,2525,4813,5167,6692,7178,5411,4671,5009,5536,3665,2963,3496,3428,4894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,7185,6785,5213,5507,3627,3024,1782,1279,4935,5425,5391,5242,2918,3732,3681,2965,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,1994,1663,3654,3872,2775,3198,3490,2541,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,2969,3672,2549,2924,1759,1907,3463,2895,6345,6480,5016,4478,3904,3492,3040,3745,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,7188,6247,5325,4826,2002,1913,3305,3752,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,4976,5352,4838,4541,5488,4567,6237,7202,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,3013,3662,3778,3287,5716,5032,6348,6442,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,3637,3852,1971,1950,2797,3418,3688,2993,4949,5406,4963,4733,3014,3504,3729,2803,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,4583,5904,6444,6253,3475,3641,3436,2988,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,3669,3630,3880,2919,2018,1727,2687,3528,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,5239,4573,6261,6356,5713,5011,5544,5476,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,4954,5714,5513,5572,2005,1887,3968,3723,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,5308,5006,5897,4911,6360,6560,5675,5072,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,6684,7216,5772,4969,3482,3359,1998,1783,6533,6317,5480,4797,3777,2809,3444,2925,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,5683,5307,5584,4839,5454,4856,6705,7240,2926,3526,2783,3847,5340,5677,4977,5243,1997,2032,3726,3908,6347,6207,4590,5475,5368,4798,6484,6538,7193,7425,5017,5720,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,7194,6350,4830,4925,5659,5309,6239,6471,2934,2879,3731,3390,5707,5459,6708,6944,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,6451,6445,6561,7304,4845,5466,6357,7210,3698,3032,3808,3538,3663,2799,1790,2026,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,3781,2938,3646,3422,6548,7235,6371,7040,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,5310,4926,6915,6504,5905,5007,5717,5678,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,3199,3779,3554,3875,6373,6303,4957,5542,6564,6454,5953,5435,3645,2911,1981,1918,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,6754,6801,6477,7209,3851,3056,3671,3530,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,6744,6483,6016,5771,3027,3540,3001,3976,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,5692,5767,5808,5073,2028,1533,3920,3022,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,3782,2927,3029,3553,5545,5908,5048,5782,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,6539,6817,5921,4799,3972,2975,3881,3687,3495,3794,2034,1979,5467,5734,5663,5832,3391,3727,3868,3809,6727,6499,5031,5781,5074,5721,7440,7238,4979,4858,5342,4599,3527,3323,3043,3788,6431,6327,5554,5021,3449,3936,2813,3004,5490,5365,6378,7195,4974,5574,4831,5895,3544,3909,2935,3485,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,5795,5351,5089,5687,5924,5548,7684,6818,4981,5035,5090,5496,3446,3693,2036,2007,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,5483,5738,6386,7207,5063,5363,6709,6542,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,5907,5043,6502,6549,6447,6713,7688,6388,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,3533,3452,3741,3914,5746,5080,5856,5586,6820,7313,7198,7252,5711,4847,6505,6850,6733,7488,6359,6930,5798,5038,5954,5519,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,6795,6565,5096,5786,6936,6946,4988,5370,6755,7191,5534,5913,6746,7316,6554,6375,5486,5560,6832,6797,5964,5046,5247,5827,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,5899,5104,6365,6514,7429,6757,5719,5578,3706,3869,3766,3977,7552,6566,5372,4606,1791,2038,3647,3555,3824,3453,3783,3879,6569,6595,5531,5748,3541,3058,4032,3503,7221,6758,6687,7442,6379,6556,6487,6516,5075,5588,7329,6919,5049,6024,5925,5485,6461,7683,5834,4859,6366,7243,5968,5070,6570,6597,5549,5739,6381,7268,5809,5914,3005,3913,3031,3758,5311,5498,6703,7314,5725,5616,5926,5787,7436,6977,5050,5555,3006,3562,3924,3816,2041,1919,3769,3986,5830,4975,6948,6856,7226,6978,5077,5601,6805,7197,5802,5078,3708,3548,3451,3940,6952,6923,7361,6761,6748,7685,6577,6864,3867,3789,3564,3035,6960,7245,6020,5023,7320,6980,5929,5735,3980,3511,3060,3891,6491,7041,7280,6387,3797,3047,3886,3325,5543,5842,7441,6806,5439,5775,7744,6598,6462,6819,5916,5857,3695,3973,3546,3790,5575,5371,5091,5836,3561,3928,3765,3064,7254,6762,5497,5984,4861,5052,7225,7042,6925,7458,5592,5957,7364,6520,4983,5533,4001,3885,3915,3679,5081,5816,6572,7690,5093,5726,5909,5558,6809,6880,6711,7251,3517,3795,2815,3952,7336,7222,5494,5741,6984,6769,6382,7303,6503,6601,6543,6931,5944,5783,6735,6822,3772,3572,3037,3454,5343,5812,6578,6821,7434,7686,6032,5082,3802,3870,2042,2039,5579,5747,5841,5039,6493,7444,5955,5604,7246,6389,7332,6602,3883,3547,3992,3911,3938,3515,3051,3570,5930,5550,6810,7257,6764,7697,4987,5937,5094,5691,7307,7457,5374,4862,5561,5805,3811,3743,3898,3038,6507,6271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序列组六:Z6_8192
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序列组六:Q6_16384
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2552,9392,8441,8874,9856,8765,9363,8603,8995,5227,5890,5446,4893,5321,5700,5667,5002,12802,12384,12355,12329,9308,8981,9496,8901,8557,8632,8820,8881,10270,10386,8566,9416,6472,7232,5348,4811,2847,3403,2303,3012,5237,5426,4903,4570,1781,1885,3290,2957,4732,5275,4790,4350,1908,2016,3721,3607,11268,10311,8615,9748,12432,12316,12357,12330,5646,5761,6680,6721,3357,2767,3191,2525,4813,5167,6692,7178,5411,4671,5009,5536,8658,8985,10502,10505,10401,10816,9322,8442,3665,2963,3496,3428,4894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,8563,9366,10285,10340,8673,8766,9540,8605,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,9301,8795,8558,9737,9479,9247,8660,9762,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,8847,9092,8997,8807,9358,8876,9601,8902,10880,11265,9379,8621,12804,12337,12362,12560,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,10291,10388,8986,8444,9306,8565,8797,9424,7185,6785,5213,5507,3627,3024,1782,1279,9040,8882,10286,10315,8905,8824,10506,10513,4935,5425,5391,5242,2918,3732,3681,2965,9508,8674,8998,9324,10757,10344,9275,8619,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,9369,9096,9761,8606,10402,10293,9483,8415,1994,1663,3654,3872,2775,3198,3490,2541,9318,9746,8855,8884,9027,9520,8811,8664,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,10433,11272,9329,8647,12448,13314,12808,12576,12816,12480,12832,12358,10392,10317,8988,9381,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,9793,9001,8906,9440,8913,9029,8908,9278,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,10404,11008,9494,9544,12332,12419,12369,12338,9056,9002,9365,8798,9386,9104,9295,8914,8888,8569,10508,10514,9616,8627,10758,10294,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,9485,9752,9009,9321,9984,8511,8813,9372,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,10323,10297,10761,10352,9004,8676,9537,8622,9764,9330,11264,10375,12361,12303,12608,12421,2969,3672,2549,2924,1759,1907,3463,2895,9491,9030,8859,9411,10318,10529,8680,9303,8431,8570,8651,8814,12340,12311,12422,12672,6345,6480,5016,4478,3904,3492,3040,3745,9602,8819,10434,10325,8629,8572,9393,9800,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,9010,9370,10516,10762,9486,8653,9735,8688,7188,6247,5325,4826,2002,1913,3305,3752,8861,9382,9509,8871,10298,10408,9332,9271,12364,12425,12370,12344,10379,10339,9413,8916,9033,9497,8821,9776,10326,10300,8543,8659,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,10520,10329,9552,8630,9307,8929,10530,10769,4976,5352,4838,4541,5488,4567,6237,7202,8443,8654,8634,8633,10764,10436,9858,8661,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,9741,8439,8875,9388,10381,11280,10341,10387,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,12315,12385,12327,12547,9418,9034,9604,9319,3013,3662,3778,3287,5716,5032,6348,6442,8930,9336,10416,10382,12372,12426,12433,12549,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,9500,9091,9794,8862,9510,8975,9277,9041,3637,3852,1971,1950,2797,3418,3688,2993,12317,12331,12386,12803,9747,9385,9012,9768,8920,9120,8983,8559,10770,10561,9568,9093,4949,5406,4963,4733,3014,3504,3729,2803,10271,10440,10330,11296,9425,8822,10785,10532,9513,8877,9036,9396,8825,8903,10562,10772,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,10503,10389,10342,10345,9310,8445,8883,9493,4583,5904,6444,6253,3475,3641,3436,2988,9016,9367,10544,10536,9094,8878,9860,9414,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,9608,9325,8932,9539,12376,12428,12318,12434,3669,3630,3880,2919,2018,1727,2687,3528,9042,8567,9750,8636,13316,12359,12550,12553,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,9498,8662,9359,8675,12449,12864,12333,12388,5239,4573,6261,6356,5713,5011,5544,5476,9739,8607,11270,10403,8677,9097,10332,11273,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,12928,13313,12339,12436,9394,8987,8665,9432,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,10287,10507,8826,8936,10625,10786,9808,9044,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,10564,10448,10626,10390,9152,9514,10393,10405,4954,5714,5513,5572,2005,1887,3968,3723,9057,8885,10346,10295,9323,9986,9542,8989,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,9417,9796,9763,9098,10568,11328,9444,8907,9333,9522,8999,8666,8828,9371,8886,8446,12334,12363,12554,12561,9742,9857,10776,10817,5308,5006,5897,4911,6360,6560,5675,5072,8909,9263,10788,11274,9507,8767,9105,9632,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,8990,9003,8571,9400,12805,12392,12450,12341,6684,7216,5772,4969,3482,3359,1998,1783,10353,10394,9545,9383,10319,10509,8889,9756,6533,6317,5480,4797,3777,2809,3444,2925,12481,13320,12440,12365,8623,9334,8799,9420,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,10348,10818,8681,9516,10464,10406,9058,8915,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,10759,10792,8678,9765,9373,9426,9100,9985,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,9753,8910,9005,9556,10435,10510,8668,9048,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,11281,10881,9309,9603,12452,13056,14336,14337,9031,9521,9487,9338,12556,12562,12806,12342,5683,5307,5584,4839,5454,4856,6705,7240,11276,10763,8917,8890,9664,9106,10515,10820,2926,3526,2783,3847,5340,5677,4977,5243,9441,8944,9060,9011,9541,9006,8631,9121,1997,2032,3726,3908,6347,6207,4590,5475,12371,12345,12809,12400,10531,10299,9389,9770,5368,4798,6484,6538,7193,7425,5017,5720,8682,9331,10409,10800,9872,8815,10354,10517,9824,9528,8863,9390,9554,8931,10396,10327,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,9795,9749,11392,10437,13312,12423,12366,12577,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,10356,10410,9605,9108,9495,8655,9428,9035,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,10301,11282,9327,8573,9864,9546,10771,10765,12482,12373,12564,12810,12346,12456,12427,12387,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,8689,9778,9122,9013,10882,10521,8918,9153,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,9395,9374,10518,10766,9064,9610,8684,9442,9524,8823,10417,10533,12374,12348,12568,12377,10628,11297,9766,9415,8921,9337,9797,8892,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,10331,10824,9988,8635,11009,10438,9499,8933,7194,6350,4830,4925,5659,5309,6239,6471,10412,10360,9570,9754,9548,9397,9037,9511,2934,2879,3731,3390,5707,5459,6708,6944,12578,12817,12812,12484,10441,10576,9112,8574,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,10302,10522,9777,9014,9617,9043,10383,11269,6451,6445,6561,7304,4845,5466,6357,7210,11284,10343,9421,8922,9801,8690,10418,10534,12429,13328,12389,12435,9072,9448,8934,8637,3698,3032,3808,3538,3663,2799,1790,2026,9584,8663,10333,11298,12464,12430,12818,12609,10884,10442,10832,10563,12319,12488,12378,13344,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,8827,9340,9888,9124,9772,8879,10632,10537,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,9402,9612,9804,9517,9992,9095,9326,9017,3781,2938,3646,3422,6548,7235,6371,7040,12833,12580,12610,12820,9427,9553,8692,9769,9038,9862,9387,8937,11010,10347,10420,11520,12551,12437,12390,12393,9018,8924,10391,10449,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,10524,11267,9456,8638,10888,10334,9154,9618,5310,4926,6915,6504,5905,5007,5717,5678,9812,9128,10444,10538,9569,8667,10640,10848,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,11329,10592,10565,10773,9045,9502,9059,8829,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,10395,10450,9743,9422,10545,10787,9606,9099,9398,9859,9780,9525,12592,12584,13318,12451,3199,3779,3554,3875,6373,6303,4957,5542,8679,10000,10540,10349,12380,13321,12335,12555,8887,9633,9279,8938,12673,12834,12612,12496,6564,6454,5953,5435,3645,2911,1981,1918,9020,8945,9802,9046,9429,9518,11288,10424,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,12674,12438,12441,12453,12394,12343,12616,13376,9049,9560,10774,11300,9401,8696,8991,9547,6754,6801,6477,7209,3851,3056,3671,3530,10777,10355,8447,9156,12824,12865,12836,13322,11330,10407,10465,10566,9434,9101,10546,11012,10397,10896,9865,9751,9501,8911,10569,10350,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,9335,8669,10357,10452,9809,9107,9640,9572,6744,6483,6016,5771,3027,3540,3001,3976,10411,11278,8830,8940,11016,11304,9136,9920,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,9523,9419,9061,9784,9620,8683,8891,9445,5692,5767,5808,5073,2028,1533,3920,3022,12401,12442,12367,12557,9543,8946,10570,11393,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,14338,14340,12396,12866,9375,9757,10466,10789,3782,2927,3029,3553,5545,5908,5048,5782,9050,9810,9609,9668,12512,12454,12807,12840,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,12483,12558,13329,12929,11283,10778,8670,9160,9452,8575,10627,10548,13324,12811,12563,12868,6539,6817,5921,4799,3972,2975,3881,3687,9404,9102,9993,9007,10456,10656,9771,9168,10511,10519,9062,9876,9825,9109,10398,10577,3495,3794,2034,1979,5467,5734,5663,5832,10790,10912,11332,10358,9529,9433,10572,10819,9798,10016,8919,9342,9634,8685,9549,9443,3391,3727,3868,3809,6727,6499,5031,5781,10780,11312,9868,9065,10629,10413,9576,8893,5074,5721,7440,7238,4979,4858,5342,4599,12579,12347,14344,14352,11277,10361,9758,9123,3527,3323,3043,3788,6431,6327,5554,5021,12457,12848,12402,12565,9515,9990,9557,9665,3449,3936,2813,3004,5490,5365,6378,7195,10793,10439,8948,9526,9052,8691,11024,10419,8923,9840,9430,9015,12444,12375,13440,12485,4974,5574,4831,5895,3544,3909,2935,3485,9767,9114,9391,9866,12404,12458,12349,13330,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,10468,10578,9066,9624,9613,9110,10552,11776,5795,5351,5089,5687,5924,5548,7684,6818,12819,12813,12930,12569,10944,11394,9828,9446,4981,5035,5090,5496,3446,3693,2036,2007,10630,10414,8694,9987,10794,10821,9125,9558,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,12566,12814,12465,12581,11286,10633,9530,9874,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,10523,10362,10688,10593,9779,9403,9680,8935,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,9550,8952,10801,11336,9436,9773,9073,9339,5483,5738,6386,7207,5063,5363,6709,6542,12676,13345,14368,14339,10443,10303,8686,9571,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,12379,12872,13057,12486,9464,8894,10580,10634,11289,11521,9113,9816,8693,9068,10767,10822,9607,9039,10048,9636,9184,9889,10796,10421,12460,12408,12489,12624,10535,11299,10525,10472,5907,5043,6502,6549,6447,6713,7688,6388,8639,9799,9628,9561,10364,10445,9449,9896,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,10422,10883,8925,9989,11396,10802,9861,9532,3533,3452,3741,3914,5746,5080,5856,5586,9423,9019,9782,9126,12350,12570,12431,13317,6820,7313,7198,7252,5711,4847,6505,6850,10526,10825,9826,9666,13332,12391,12466,12582,6733,7488,6359,6930,5798,5038,5954,5519,10539,10594,11285,10451,9074,9129,10641,11344,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,10425,11301,9155,9611,8939,9457,10636,10584,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,12381,13346,12932,12490,12880,12611,12680,12585,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,9311,8697,9573,9047,10826,10885,9116,10002,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,11522,10833,10775,10480,14341,14400,13058,12395,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,11290,10446,8926,9021,9755,9405,10335,10567,12468,13568,12439,12497,9803,9555,10804,11040,9622,9450,9880,9578,9157,9806,9922,9431,6795,6565,5096,5786,6936,6946,4988,5370,10642,10596,9130,9076,12572,13315,12936,12382,8698,9519,9781,9996,10547,10541,10657,11400,8941,9562,10453,11306,12492,12586,12688,12896,6755,7191,5534,5913,6746,7316,6554,6375,10808,11360,9832,9137,11072,10828,9158,9648,5486,5560,6832,6797,5964,5046,5247,5827,9873,8947,11275,11777,10426,10886,9458,9051,13377,12640,12613,12821,10644,11331,10467,11136,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,12443,12498,12593,12835,10834,10658,9619,9785,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,9580,9132,10542,10889,9406,9022,11011,10600,12588,12397,13336,12472,10001,9103,9813,9774,5899,5104,6365,6514,7429,6757,5719,5578,12822,13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序列组六:Z6_16384
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序列组七:Q7_2048
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序列组七:Z7_2048
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序列组七:Q7_4096
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序列组七:Z7_4096
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序列组七:Q7_8192
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,3462,2955,5402,4566,5263,4579,3254,3715,3636,3381,2535,3856,1957,1853,2743,3489,3135,2794,5643,4511,7174,6307,4581,5001,6236,7177,1976,1015,2876,2801,5298,4891,4569,5336,6191,6411,4730,4840,3658,2902,3285,3374,6529,6690,5712,4948,6468,6352,6530,6294,1751,1993,1503,1962,5056,5418,6297,6309,4961,4789,6250,6199,2905,3416,3257,2552,5227,5890,5446,4893,5321,5700,5667,5002,6472,7232,5348,4811,2847,3403,2303,3012,5237,5426,4903,4570,1781,1885,3290,2957,4732,5275,4790,4350,1908,2016,3721,3607,5646,5761,6680,6721,3357,2767,3191,2525,4813,5167,6692,7178,5411,4671,5009,5536,3665,2963,3496,3428,4894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,7185,6785,5213,5507,3627,3024,1782,1279,4935,5425,5391,5242,2918,3732,3681,2965,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,1994,1663,3654,3872,2775,3198,3490,2541,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,2969,3672,2549,2924,1759,1907,3463,2895,6345,6480,5016,4478,3904,3492,3040,3745,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,7188,6247,5325,4826,2002,1913,3305,3752,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,4976,5352,4838,4541,5488,4567,6237,7202,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,3013,3662,3778,3287,5716,5032,6348,6442,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,3637,3852,1971,1950,2797,3418,3688,2993,4949,5406,4963,4733,3014,3504,3729,2803,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,4583,5904,6444,6253,3475,3641,3436,2988,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,3669,3630,3880,2919,2018,1727,2687,3528,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,5239,4573,6261,6356,5713,5011,5544,5476,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,4954,5714,5513,5572,2005,1887,3968,3723,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,5308,5006,5897,4911,6360,6560,5675,5072,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,6684,7216,5772,4969,3482,3359,1998,1783,6533,6317,5480,4797,3777,2809,3444,2925,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,5683,5307,5584,4839,5454,4856,6705,7240,2926,3526,2783,3847,5340,5677,4977,5243,1997,2032,3726,3908,6347,6207,4590,5475,5368,4798,6484,6538,7193,7425,5017,5720,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,7194,6350,4830,4925,5659,5309,6239,6471,2934,2879,3731,3390,5707,5459,6708,6944,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,6451,6445,6561,7304,4845,5466,6357,7210,3698,3032,3808,3538,3663,2799,1790,2026,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,3781,2938,3646,3422,6548,7235,6371,7040,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,5310,4926,6915,6504,5905,5007,5717,5678,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,3199,3779,3554,3875,6373,6303,4957,5542,6564,6454,5953,5435,3645,2911,1981,1918,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,6754,6801,6477,7209,3851,3056,3671,3530,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,6744,6483,6016,5771,3027,3540,3001,3976,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,5692,5767,5808,5073,2028,1533,3920,3022,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,3782,2927,3029,3553,5545,5908,5048,5782,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,6539,6817,5921,4799,3972,2975,3881,3687,3495,3794,2034,1979,5467,5734,5663,5832,3391,3727,3868,3809,6727,6499,5031,5781,5074,5721,7440,7238,4979,4858,5342,4599,3527,3323,3043,3788,6431,6327,5554,5021,3449,3936,2813,3004,5490,5365,6378,7195,4974,5574,4831,5895,3544,3909,2935,3485,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,5795,5351,5089,5687,5924,5548,7684,6818,4981,5035,5090,5496,3446,3693,2036,2007,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,5483,5738,6386,7207,5063,5363,6709,6542,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,5907,5043,6502,6549,6447,6713,7688,6388,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,3533,3452,3741,3914,5746,5080,5856,5586,6820,7313,7198,7252,5711,4847,6505,6850,6733,7488,6359,6930,5798,5038,5954,5519,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,6795,6565,5096,5786,6936,6946,4988,5370,6755,7191,5534,5913,6746,7316,6554,6375,5486,5560,6832,6797,5964,5046,5247,5827,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,5899,5104,6365,6514,7429,6757,5719,5578,3706,3869,3766,3977,7552,6566,5372,4606,1791,2038,3647,3555,3824,3453,3783,3879,6569,6595,5531,5748,3541,3058,4032,3503,7221,6758,6687,7442,6379,6556,6487,6516,5075,5588,7329,6919,5049,6024,5925,5485,6461,7683,5834,4859,6366,7243,5968,5070,6570,6597,5549,5739,6381,7268,5809,5914,3005,3913,3031,3758,5311,5498,6703,7314,5725,5616,5926,5787,7436,6977,5050,5555,3006,3562,3924,3816,2041,1919,3769,3986,5830,4975,6948,6856,7226,6978,5077,5601,6805,7197,5802,5078,3708,3548,3451,3940,6952,6923,7361,6761,6748,7685,6577,6864,3867,3789,3564,3035,6960,7245,6020,5023,7320,6980,5929,5735,3980,3511,3060,3891,6491,7041,7280,6387,3797,3047,3886,3325,5543,5842,7441,6806,5439,5775,7744,6598,6462,6819,5916,5857,3695,3973,3546,3790,5575,5371,5091,5836,3561,3928,3765,3064,7254,6762,5497,5984,4861,5052,7225,7042,6925,7458,5592,5957,7364,6520,4983,5533,4001,3885,3915,3679,5081,5816,6572,7690,5093,5726,5909,5558,6809,6880,6711,7251,3517,3795,2815,3952,7336,7222,5494,5741,6984,6769,6382,7303,6503,6601,6543,6931,5944,5783,6735,6822,3772,3572,3037,3454,5343,5812,6578,6821,7434,7686,6032,5082,3802,3870,2042,2039,5579,5747,5841,5039,6493,7444,5955,5604,7246,6389,7332,6602,3883,3547,3992,3911,3938,3515,3051,3570,5930,5550,6810,7257,6764,7697,4987,5937,5094,5691,7307,7457,5374,4862,5561,5805,3811,3743,3898,3038,6507,6271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序列组七:Z7_8192
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序列组七:Q7_16384
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2552,9392,8441,8874,9856,8765,9363,8603,8995,5227,5890,5446,4893,5321,5700,5667,5002,12802,12384,12355,12329,9308,8981,9496,8901,8557,8632,8820,8881,10270,10386,8566,9416,6472,7232,5348,4811,2847,3403,2303,3012,5237,5426,4903,4570,1781,1885,3290,2957,4732,5275,4790,4350,1908,2016,3721,3607,11268,10311,8615,9748,12432,12316,12357,12330,5646,5761,6680,6721,3357,2767,3191,2525,4813,5167,6692,7178,5411,4671,5009,5536,8658,8985,10502,10505,10401,10816,9322,8442,3665,2963,3496,3428,4894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,8563,9366,10285,10340,8673,8766,9540,8605,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,9301,8795,8558,9737,9479,9247,8660,9762,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,8847,9092,8997,8807,9358,8876,9601,8902,10880,11265,9379,8621,12804,12337,12362,12560,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,10291,10388,8986,8444,9306,8565,8797,9424,7185,6785,5213,5507,3627,3024,1782,1279,9040,8882,10286,10315,8905,8824,10506,10513,4935,5425,5391,5242,2918,3732,3681,2965,9508,8674,8998,9324,10757,10344,9275,8619,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,9369,9096,9761,8606,10402,10293,9483,8415,1994,1663,3654,3872,2775,3198,3490,2541,9318,9746,8855,8884,9027,9520,8811,8664,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,10433,11272,9329,8647,12448,13314,12808,12576,12816,12480,12832,12358,10392,10317,8988,9381,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,9793,9001,8906,9440,8913,9029,8908,9278,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,10404,11008,9494,9544,12332,12419,12369,12338,9056,9002,9365,8798,9386,9104,9295,8914,8888,8569,10508,10514,9616,8627,10758,10294,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,9485,9752,9009,9321,9984,8511,8813,9372,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,10323,10297,10761,10352,9004,8676,9537,8622,9764,9330,11264,10375,12361,12303,12608,12421,2969,3672,2549,2924,1759,1907,3463,2895,9491,9030,8859,9411,10318,10529,8680,9303,8431,8570,8651,8814,12340,12311,12422,12672,6345,6480,5016,4478,3904,3492,3040,3745,9602,8819,10434,10325,8629,8572,9393,9800,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,9010,9370,10516,10762,9486,8653,9735,8688,7188,6247,5325,4826,2002,1913,3305,3752,8861,9382,9509,8871,10298,10408,9332,9271,12364,12425,12370,12344,10379,10339,9413,8916,9033,9497,8821,9776,10326,10300,8543,8659,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,10520,10329,9552,8630,9307,8929,10530,10769,4976,5352,4838,4541,5488,4567,6237,7202,8443,8654,8634,8633,10764,10436,9858,8661,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,9741,8439,8875,9388,10381,11280,10341,10387,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,12315,12385,12327,12547,9418,9034,9604,9319,3013,3662,3778,3287,5716,5032,6348,6442,8930,9336,10416,10382,12372,12426,12433,12549,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,9500,9091,9794,8862,9510,8975,9277,9041,3637,3852,1971,1950,2797,3418,3688,2993,12317,12331,12386,12803,9747,9385,9012,9768,8920,9120,8983,8559,10770,10561,9568,9093,4949,5406,4963,4733,3014,3504,3729,2803,10271,10440,10330,11296,9425,8822,10785,10532,9513,8877,9036,9396,8825,8903,10562,10772,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,10503,10389,10342,10345,9310,8445,8883,9493,4583,5904,6444,6253,3475,3641,3436,2988,9016,9367,10544,10536,9094,8878,9860,9414,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,9608,9325,8932,9539,12376,12428,12318,12434,3669,3630,3880,2919,2018,1727,2687,3528,9042,8567,9750,8636,13316,12359,12550,12553,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,9498,8662,9359,8675,12449,12864,12333,12388,5239,4573,6261,6356,5713,5011,5544,5476,9739,8607,11270,10403,8677,9097,10332,11273,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,12928,13313,12339,12436,9394,8987,8665,9432,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,10287,10507,8826,8936,10625,10786,9808,9044,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,10564,10448,10626,10390,9152,9514,10393,10405,4954,5714,5513,5572,2005,1887,3968,3723,9057,8885,10346,10295,9323,9986,9542,8989,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,9417,9796,9763,9098,10568,11328,9444,8907,9333,9522,8999,8666,8828,9371,8886,8446,12334,12363,12554,12561,9742,9857,10776,10817,5308,5006,5897,4911,6360,6560,5675,5072,8909,9263,10788,11274,9507,8767,9105,9632,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,8990,9003,8571,9400,12805,12392,12450,12341,6684,7216,5772,4969,3482,3359,1998,1783,10353,10394,9545,9383,10319,10509,8889,9756,6533,6317,5480,4797,3777,2809,3444,2925,12481,13320,12440,12365,8623,9334,8799,9420,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,10348,10818,8681,9516,10464,10406,9058,8915,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,10759,10792,8678,9765,9373,9426,9100,9985,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,9753,8910,9005,9556,10435,10510,8668,9048,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,11281,10881,9309,9603,12452,13056,14336,14337,9031,9521,9487,9338,12556,12562,12806,12342,5683,5307,5584,4839,5454,4856,6705,7240,11276,10763,8917,8890,9664,9106,10515,10820,2926,3526,2783,3847,5340,5677,4977,5243,9441,8944,9060,9011,9541,9006,8631,9121,1997,2032,3726,3908,6347,6207,4590,5475,12371,12345,12809,12400,10531,10299,9389,9770,5368,4798,6484,6538,7193,7425,5017,5720,8682,9331,10409,10800,9872,8815,10354,10517,9824,9528,8863,9390,9554,8931,10396,10327,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,9795,9749,11392,10437,13312,12423,12366,12577,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,10356,10410,9605,9108,9495,8655,9428,9035,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,10301,11282,9327,8573,9864,9546,10771,10765,12482,12373,12564,12810,12346,12456,12427,12387,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,8689,9778,9122,9013,10882,10521,8918,9153,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,9395,9374,10518,10766,9064,9610,8684,9442,9524,8823,10417,10533,12374,12348,12568,12377,10628,11297,9766,9415,8921,9337,9797,8892,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,10331,10824,9988,8635,11009,10438,9499,8933,7194,6350,4830,4925,5659,5309,6239,6471,10412,10360,9570,9754,9548,9397,9037,9511,2934,2879,3731,3390,5707,5459,6708,6944,12578,12817,12812,12484,10441,10576,9112,8574,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,10302,10522,9777,9014,9617,9043,10383,11269,6451,6445,6561,7304,4845,5466,6357,7210,11284,10343,9421,8922,9801,8690,10418,10534,12429,13328,12389,12435,9072,9448,8934,8637,3698,3032,3808,3538,3663,2799,1790,2026,9584,8663,10333,11298,12464,12430,12818,12609,10884,10442,10832,10563,12319,12488,12378,13344,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,8827,9340,9888,9124,9772,8879,10632,10537,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,9402,9612,9804,9517,9992,9095,9326,9017,3781,2938,3646,3422,6548,7235,6371,7040,12833,12580,12610,12820,9427,9553,8692,9769,9038,9862,9387,8937,11010,10347,10420,11520,12551,12437,12390,12393,9018,8924,10391,10449,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,10524,11267,9456,8638,10888,10334,9154,9618,5310,4926,6915,6504,5905,5007,5717,5678,9812,9128,10444,10538,9569,8667,10640,10848,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,11329,10592,10565,10773,9045,9502,9059,8829,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,10395,10450,9743,9422,10545,10787,9606,9099,9398,9859,9780,9525,12592,12584,13318,12451,3199,3779,3554,3875,6373,6303,4957,5542,8679,10000,10540,10349,12380,13321,12335,12555,8887,9633,9279,8938,12673,12834,12612,12496,6564,6454,5953,5435,3645,2911,1981,1918,9020,8945,9802,9046,9429,9518,11288,10424,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,12674,12438,12441,12453,12394,12343,12616,13376,9049,9560,10774,11300,9401,8696,8991,9547,6754,6801,6477,7209,3851,3056,3671,3530,10777,10355,8447,9156,12824,12865,12836,13322,11330,10407,10465,10566,9434,9101,10546,11012,10397,10896,9865,9751,9501,8911,10569,10350,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,9335,8669,10357,10452,9809,9107,9640,9572,6744,6483,6016,5771,3027,3540,3001,3976,10411,11278,8830,8940,11016,11304,9136,9920,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,9523,9419,9061,9784,9620,8683,8891,9445,5692,5767,5808,5073,2028,1533,3920,3022,12401,12442,12367,12557,9543,8946,10570,11393,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,14338,14340,12396,12866,9375,9757,10466,10789,3782,2927,3029,3553,5545,5908,5048,5782,9050,9810,9609,9668,12512,12454,12807,12840,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,12483,12558,13329,12929,11283,10778,8670,9160,9452,8575,10627,10548,13324,12811,12563,12868,6539,6817,5921,4799,3972,2975,3881,3687,9404,9102,9993,9007,10456,10656,9771,9168,10511,10519,9062,9876,9825,9109,10398,10577,3495,3794,2034,1979,5467,5734,5663,5832,10790,10912,11332,10358,9529,9433,10572,10819,9798,10016,8919,9342,9634,8685,9549,9443,3391,3727,3868,3809,6727,6499,5031,5781,10780,11312,9868,9065,10629,10413,9576,8893,5074,5721,7440,7238,4979,4858,5342,4599,12579,12347,14344,14352,11277,10361,9758,9123,3527,3323,3043,3788,6431,6327,5554,5021,12457,12848,12402,12565,9515,9990,9557,9665,3449,3936,2813,3004,5490,5365,6378,7195,10793,10439,8948,9526,9052,8691,11024,10419,8923,9840,9430,9015,12444,12375,13440,12485,4974,5574,4831,5895,3544,3909,2935,3485,9767,9114,9391,9866,12404,12458,12349,13330,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,10468,10578,9066,9624,9613,9110,10552,11776,5795,5351,5089,5687,5924,5548,7684,6818,12819,12813,12930,12569,10944,11394,9828,9446,4981,5035,5090,5496,3446,3693,2036,2007,10630,10414,8694,9987,10794,10821,9125,9558,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,12566,12814,12465,12581,11286,10633,9530,9874,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,10523,10362,10688,10593,9779,9403,9680,8935,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,9550,8952,10801,11336,9436,9773,9073,9339,5483,5738,6386,7207,5063,5363,6709,6542,12676,13345,14368,14339,10443,10303,8686,9571,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,12379,12872,13057,12486,9464,8894,10580,10634,11289,11521,9113,9816,8693,9068,10767,10822,9607,9039,10048,9636,9184,9889,10796,10421,12460,12408,12489,12624,10535,11299,10525,10472,5907,5043,6502,6549,6447,6713,7688,6388,8639,9799,9628,9561,10364,10445,9449,9896,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,10422,10883,8925,9989,11396,10802,9861,9532,3533,3452,3741,3914,5746,5080,5856,5586,9423,9019,9782,9126,12350,12570,12431,13317,6820,7313,7198,7252,5711,4847,6505,6850,10526,10825,9826,9666,13332,12391,12466,12582,6733,7488,6359,6930,5798,5038,5954,5519,10539,10594,11285,10451,9074,9129,10641,11344,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,10425,11301,9155,9611,8939,9457,10636,10584,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,12381,13346,12932,12490,12880,12611,12680,12585,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,9311,8697,9573,9047,10826,10885,9116,10002,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,11522,10833,10775,10480,14341,14400,13058,12395,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,11290,10446,8926,9021,9755,9405,10335,10567,12468,13568,12439,12497,9803,9555,10804,11040,9622,9450,9880,9578,9157,9806,9922,9431,6795,6565,5096,5786,6936,6946,4988,5370,10642,10596,9130,9076,12572,13315,12936,12382,8698,9519,9781,9996,10547,10541,10657,11400,8941,9562,10453,11306,12492,12586,12688,12896,6755,7191,5534,5913,6746,7316,6554,6375,10808,11360,9832,9137,11072,10828,9158,9648,5486,5560,6832,6797,5964,5046,5247,5827,9873,8947,11275,11777,10426,10886,9458,9051,13377,12640,12613,12821,10644,11331,10467,11136,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,12443,12498,12593,12835,10834,10658,9619,9785,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,9580,9132,10542,10889,9406,9022,11011,10600,12588,12397,13336,12472,10001,9103,9813,9774,5899,5104,6365,6514,7429,6757,5719,5578,12822,13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序列组七:Z7_16384
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序列组八:Q8_2048
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序列组八:Z8_2048
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序列组八:Q8_4096
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序列组八:Z8_4096
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序列组八:Q8_8192
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,3462,2955,5402,4566,5263,4579,3254,3715,3636,3381,2535,3856,1957,1853,2743,3489,3135,2794,5643,4511,7174,6307,4581,5001,6236,7177,1976,1015,2876,2801,5298,4891,4569,5336,6191,6411,4730,4840,3658,2902,3285,3374,6529,6690,5712,4948,6468,6352,6530,6294,1751,1993,1503,1962,5056,5418,6297,6309,4961,4789,6250,6199,2905,3416,3257,2552,5227,5890,5446,4893,5321,5700,5667,5002,6472,7232,5348,4811,2847,3403,2303,3012,5237,5426,4903,4570,1781,1885,3290,2957,4732,5275,4790,4350,1908,2016,3721,3607,5646,5761,6680,6721,3357,2767,3191,2525,4813,5167,6692,7178,5411,4671,5009,5536,3665,2963,3496,3428,4894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,7185,6785,5213,5507,3627,3024,1782,1279,4935,5425,5391,5242,2918,3732,3681,2965,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,1994,1663,3654,3872,2775,3198,3490,2541,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,2969,3672,2549,2924,1759,1907,3463,2895,6345,6480,5016,4478,3904,3492,3040,3745,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,7188,6247,5325,4826,2002,1913,3305,3752,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,4976,5352,4838,4541,5488,4567,6237,7202,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,3013,3662,3778,3287,5716,5032,6348,6442,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,3637,3852,1971,1950,2797,3418,3688,2993,4949,5406,4963,4733,3014,3504,3729,2803,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,4583,5904,6444,6253,3475,3641,3436,2988,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,3669,3630,3880,2919,2018,1727,2687,3528,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,5239,4573,6261,6356,5713,5011,5544,5476,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,4954,5714,5513,5572,2005,1887,3968,3723,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,5308,5006,5897,4911,6360,6560,5675,5072,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,6684,7216,5772,4969,3482,3359,1998,1783,6533,6317,5480,4797,3777,2809,3444,2925,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,5683,5307,5584,4839,5454,4856,6705,7240,2926,3526,2783,3847,5340,5677,4977,5243,1997,2032,3726,3908,6347,6207,4590,5475,5368,4798,6484,6538,7193,7425,5017,5720,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,7194,6350,4830,4925,5659,5309,6239,6471,2934,2879,3731,3390,5707,5459,6708,6944,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,6451,6445,6561,7304,4845,5466,6357,7210,3698,3032,3808,3538,3663,2799,1790,2026,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,3781,2938,3646,3422,6548,7235,6371,7040,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,5310,4926,6915,6504,5905,5007,5717,5678,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,3199,3779,3554,3875,6373,6303,4957,5542,6564,6454,5953,5435,3645,2911,1981,1918,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,6754,6801,6477,7209,3851,3056,3671,3530,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,6744,6483,6016,5771,3027,3540,3001,3976,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,5692,5767,5808,5073,2028,1533,3920,3022,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,3782,2927,3029,3553,5545,5908,5048,5782,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,6539,6817,5921,4799,3972,2975,3881,3687,3495,3794,2034,1979,5467,5734,5663,5832,3391,3727,3868,3809,6727,6499,5031,5781,5074,5721,7440,7238,4979,4858,5342,4599,3527,3323,3043,3788,6431,6327,5554,5021,3449,3936,2813,3004,5490,5365,6378,7195,4974,5574,4831,5895,3544,3909,2935,3485,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,5795,5351,5089,5687,5924,5548,7684,6818,4981,5035,5090,5496,3446,3693,2036,2007,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,5483,5738,6386,7207,5063,5363,6709,6542,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,5907,5043,6502,6549,6447,6713,7688,6388,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,3533,3452,3741,3914,5746,5080,5856,5586,6820,7313,7198,7252,5711,4847,6505,6850,6733,7488,6359,6930,5798,5038,5954,5519,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,6795,6565,5096,5786,6936,6946,4988,5370,6755,7191,5534,5913,6746,7316,6554,6375,5486,5560,6832,6797,5964,5046,5247,5827,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,5899,5104,6365,6514,7429,6757,5719,5578,3706,3869,3766,3977,7552,6566,5372,4606,1791,2038,3647,3555,3824,3453,3783,3879,6569,6595,5531,5748,3541,3058,4032,3503,7221,6758,6687,7442,6379,6556,6487,6516,5075,5588,7329,6919,5049,6024,5925,5485,6461,7683,5834,4859,6366,7243,5968,5070,6570,6597,5549,5739,6381,7268,5809,5914,3005,3913,3031,3758,5311,5498,6703,7314,5725,5616,5926,5787,7436,6977,5050,5555,3006,3562,3924,3816,2041,1919,3769,3986,5830,4975,6948,6856,7226,6978,5077,5601,6805,7197,5802,5078,3708,3548,3451,3940,6952,6923,7361,6761,6748,7685,6577,6864,3867,3789,3564,3035,6960,7245,6020,5023,7320,6980,5929,5735,3980,3511,3060,3891,6491,7041,7280,6387,3797,3047,3886,3325,5543,5842,7441,6806,5439,5775,7744,6598,6462,6819,5916,5857,3695,3973,3546,3790,5575,5371,5091,5836,3561,3928,3765,3064,7254,6762,5497,5984,4861,5052,7225,7042,6925,7458,5592,5957,7364,6520,4983,5533,4001,3885,3915,3679,5081,5816,6572,7690,5093,5726,5909,5558,6809,6880,6711,7251,3517,3795,2815,3952,7336,7222,5494,5741,6984,6769,6382,7303,6503,6601,6543,6931,5944,5783,6735,6822,3772,3572,3037,3454,5343,5812,6578,6821,7434,7686,6032,5082,3802,3870,2042,2039,5579,5747,5841,5039,6493,7444,5955,5604,7246,6389,7332,6602,3883,3547,3992,3911,3938,3515,3051,3570,5930,5550,6810,7257,6764,7697,4987,5937,5094,5691,7307,7457,5374,4862,5561,5805,3811,3743,3898,3038,6507,6271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序列组八:Z8_8192
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序列组八:Q8_16384
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2552,9392,8441,8874,9856,8765,9363,8603,8995,5227,5890,5446,4893,5321,5700,5667,5002,12802,12384,12355,12329,9308,8981,9496,8901,8557,8632,8820,8881,10270,10386,8566,9416,6472,7232,5348,4811,2847,3403,2303,3012,5237,5426,4903,4570,1781,1885,3290,2957,4732,5275,4790,4350,1908,2016,3721,3607,11268,10311,8615,9748,12432,12316,12357,12330,5646,5761,6680,6721,3357,2767,3191,2525,4813,5167,6692,7178,5411,4671,5009,5536,8658,8985,10502,10505,10401,10816,9322,8442,3665,2963,3496,3428,4894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,8563,9366,10285,10340,8673,8766,9540,8605,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,9301,8795,8558,9737,9479,9247,8660,9762,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,8847,9092,8997,8807,9358,8876,9601,8902,10880,11265,9379,8621,12804,12337,12362,12560,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,10291,10388,8986,8444,9306,8565,8797,9424,7185,6785,5213,5507,3627,3024,1782,1279,9040,8882,10286,10315,8905,8824,10506,10513,4935,5425,5391,5242,2918,3732,3681,2965,9508,8674,8998,9324,10757,10344,9275,8619,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,9369,9096,9761,8606,10402,10293,9483,8415,1994,1663,3654,3872,2775,3198,3490,2541,9318,9746,8855,8884,9027,9520,8811,8664,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,10433,11272,9329,8647,12448,13314,12808,12576,12816,12480,12832,12358,10392,10317,8988,9381,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,9793,9001,8906,9440,8913,9029,8908,9278,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,10404,11008,9494,9544,12332,12419,12369,12338,9056,9002,9365,8798,9386,9104,9295,8914,8888,8569,10508,10514,9616,8627,10758,10294,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,9485,9752,9009,9321,9984,8511,8813,9372,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,10323,10297,10761,10352,9004,8676,9537,8622,9764,9330,11264,10375,12361,12303,12608,12421,2969,3672,2549,2924,1759,1907,3463,2895,9491,9030,8859,9411,10318,10529,8680,9303,8431,8570,8651,8814,12340,12311,12422,12672,6345,6480,5016,4478,3904,3492,3040,3745,9602,8819,10434,10325,8629,8572,9393,9800,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,9010,9370,10516,10762,9486,8653,9735,8688,7188,6247,5325,4826,2002,1913,3305,3752,8861,9382,9509,8871,10298,10408,9332,9271,12364,12425,12370,12344,10379,10339,9413,8916,9033,9497,8821,9776,10326,10300,8543,8659,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,10520,10329,9552,8630,9307,8929,10530,10769,4976,5352,4838,4541,5488,4567,6237,7202,8443,8654,8634,8633,10764,10436,9858,8661,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,9741,8439,8875,9388,10381,11280,10341,10387,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,12315,12385,12327,12547,9418,9034,9604,9319,3013,3662,3778,3287,5716,5032,6348,6442,8930,9336,10416,10382,12372,12426,12433,12549,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,9500,9091,9794,8862,9510,8975,9277,9041,3637,3852,1971,1950,2797,3418,3688,2993,12317,12331,12386,12803,9747,9385,9012,9768,8920,9120,8983,8559,10770,10561,9568,9093,4949,5406,4963,4733,3014,3504,3729,2803,10271,10440,10330,11296,9425,8822,10785,10532,9513,8877,9036,9396,8825,8903,10562,10772,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,10503,10389,10342,10345,9310,8445,8883,9493,4583,5904,6444,6253,3475,3641,3436,2988,9016,9367,10544,10536,9094,8878,9860,9414,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,9608,9325,8932,9539,12376,12428,12318,12434,3669,3630,3880,2919,2018,1727,2687,3528,9042,8567,9750,8636,13316,12359,12550,12553,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,9498,8662,9359,8675,12449,12864,12333,12388,5239,4573,6261,6356,5713,5011,5544,5476,9739,8607,11270,10403,8677,9097,10332,11273,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,12928,13313,12339,12436,9394,8987,8665,9432,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,10287,10507,8826,8936,10625,10786,9808,9044,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,10564,10448,10626,10390,9152,9514,10393,10405,4954,5714,5513,5572,2005,1887,3968,3723,9057,8885,10346,10295,9323,9986,9542,8989,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,9417,9796,9763,9098,10568,11328,9444,8907,9333,9522,8999,8666,8828,9371,8886,8446,12334,12363,12554,12561,9742,9857,10776,10817,5308,5006,5897,4911,6360,6560,5675,5072,8909,9263,10788,11274,9507,8767,9105,9632,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,8990,9003,8571,9400,12805,12392,12450,12341,6684,7216,5772,4969,3482,3359,1998,1783,10353,10394,9545,9383,10319,10509,8889,9756,6533,6317,5480,4797,3777,2809,3444,2925,12481,13320,12440,12365,8623,9334,8799,9420,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,10348,10818,8681,9516,10464,10406,9058,8915,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,10759,10792,8678,9765,9373,9426,9100,9985,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,9753,8910,9005,9556,10435,10510,8668,9048,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,11281,10881,9309,9603,12452,13056,14336,14337,9031,9521,9487,9338,12556,12562,12806,12342,5683,5307,5584,4839,5454,4856,6705,7240,11276,10763,8917,8890,9664,9106,10515,10820,2926,3526,2783,3847,5340,5677,4977,5243,9441,8944,9060,9011,9541,9006,8631,9121,1997,2032,3726,3908,6347,6207,4590,5475,12371,12345,12809,12400,10531,10299,9389,9770,5368,4798,6484,6538,7193,7425,5017,5720,8682,9331,10409,10800,9872,8815,10354,10517,9824,9528,8863,9390,9554,8931,10396,10327,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,9795,9749,11392,10437,13312,12423,12366,12577,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,10356,10410,9605,9108,9495,8655,9428,9035,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,10301,11282,9327,8573,9864,9546,10771,10765,12482,12373,12564,12810,12346,12456,12427,12387,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,8689,9778,9122,9013,10882,10521,8918,9153,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,9395,9374,10518,10766,9064,9610,8684,9442,9524,8823,10417,10533,12374,12348,12568,12377,10628,11297,9766,9415,8921,9337,9797,8892,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,10331,10824,9988,8635,11009,10438,9499,8933,7194,6350,4830,4925,5659,5309,6239,6471,10412,10360,9570,9754,9548,9397,9037,9511,2934,2879,3731,3390,5707,5459,6708,6944,12578,12817,12812,12484,10441,10576,9112,8574,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,10302,10522,9777,9014,9617,9043,10383,11269,6451,6445,6561,7304,4845,5466,6357,7210,11284,10343,9421,8922,9801,8690,10418,10534,12429,13328,12389,12435,9072,9448,8934,8637,3698,3032,3808,3538,3663,2799,1790,2026,9584,8663,10333,11298,12464,12430,12818,12609,10884,10442,10832,10563,12319,12488,12378,13344,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,8827,9340,9888,9124,9772,8879,10632,10537,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,9402,9612,9804,9517,9992,9095,9326,9017,3781,2938,3646,3422,6548,7235,6371,7040,12833,12580,12610,12820,9427,9553,8692,9769,9038,9862,9387,8937,11010,10347,10420,11520,12551,12437,12390,12393,9018,8924,10391,10449,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,10524,11267,9456,8638,10888,10334,9154,9618,5310,4926,6915,6504,5905,5007,5717,5678,9812,9128,10444,10538,9569,8667,10640,10848,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,11329,10592,10565,10773,9045,9502,9059,8829,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,10395,10450,9743,9422,10545,10787,9606,9099,9398,9859,9780,9525,12592,12584,13318,12451,3199,3779,3554,3875,6373,6303,4957,5542,8679,10000,10540,10349,12380,13321,12335,12555,8887,9633,9279,8938,12673,12834,12612,12496,6564,6454,5953,5435,3645,2911,1981,1918,9020,8945,9802,9046,9429,9518,11288,10424,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,12674,12438,12441,12453,12394,12343,12616,13376,9049,9560,10774,11300,9401,8696,8991,9547,6754,6801,6477,7209,3851,3056,3671,3530,10777,10355,8447,9156,12824,12865,12836,13322,11330,10407,10465,10566,9434,9101,10546,11012,10397,10896,9865,9751,9501,8911,10569,10350,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,9335,8669,10357,10452,9809,9107,9640,9572,6744,6483,6016,5771,3027,3540,3001,3976,10411,11278,8830,8940,11016,11304,9136,9920,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,9523,9419,9061,9784,9620,8683,8891,9445,5692,5767,5808,5073,2028,1533,3920,3022,12401,12442,12367,12557,9543,8946,10570,11393,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,14338,14340,12396,12866,9375,9757,10466,10789,3782,2927,3029,3553,5545,5908,5048,5782,9050,9810,9609,9668,12512,12454,12807,12840,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,12483,12558,13329,12929,11283,10778,8670,9160,9452,8575,10627,10548,13324,12811,12563,12868,6539,6817,5921,4799,3972,2975,3881,3687,9404,9102,9993,9007,10456,10656,9771,9168,10511,10519,9062,9876,9825,9109,10398,10577,3495,3794,2034,1979,5467,5734,5663,5832,10790,10912,11332,10358,9529,9433,10572,10819,9798,10016,8919,9342,9634,8685,9549,9443,3391,3727,3868,3809,6727,6499,5031,5781,10780,11312,9868,9065,10629,10413,9576,8893,5074,5721,7440,7238,4979,4858,5342,4599,12579,12347,14344,14352,11277,10361,9758,9123,3527,3323,3043,3788,6431,6327,5554,5021,12457,12848,12402,12565,9515,9990,9557,9665,3449,3936,2813,3004,5490,5365,6378,7195,10793,10439,8948,9526,9052,8691,11024,10419,8923,9840,9430,9015,12444,12375,13440,12485,4974,5574,4831,5895,3544,3909,2935,3485,9767,9114,9391,9866,12404,12458,12349,13330,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,10468,10578,9066,9624,9613,9110,10552,11776,5795,5351,5089,5687,5924,5548,7684,6818,12819,12813,12930,12569,10944,11394,9828,9446,4981,5035,5090,5496,3446,3693,2036,2007,10630,10414,8694,9987,10794,10821,9125,9558,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,12566,12814,12465,12581,11286,10633,9530,9874,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,10523,10362,10688,10593,9779,9403,9680,8935,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,9550,8952,10801,11336,9436,9773,9073,9339,5483,5738,6386,7207,5063,5363,6709,6542,12676,13345,14368,14339,10443,10303,8686,9571,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,12379,12872,13057,12486,9464,8894,10580,10634,11289,11521,9113,9816,8693,9068,10767,10822,9607,9039,10048,9636,9184,9889,10796,10421,12460,12408,12489,12624,10535,11299,10525,10472,5907,5043,6502,6549,6447,6713,7688,6388,8639,9799,9628,9561,10364,10445,9449,9896,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,10422,10883,8925,9989,11396,10802,9861,9532,3533,3452,3741,3914,5746,5080,5856,5586,9423,9019,9782,9126,12350,12570,12431,13317,6820,7313,7198,7252,5711,4847,6505,6850,10526,10825,9826,9666,13332,12391,12466,12582,6733,7488,6359,6930,5798,5038,5954,5519,10539,10594,11285,10451,9074,9129,10641,11344,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,10425,11301,9155,9611,8939,9457,10636,10584,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,12381,13346,12932,12490,12880,12611,12680,12585,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,9311,8697,9573,9047,10826,10885,9116,10002,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,11522,10833,10775,10480,14341,14400,13058,12395,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,11290,10446,8926,9021,9755,9405,10335,10567,12468,13568,12439,12497,9803,9555,10804,11040,9622,9450,9880,9578,9157,9806,9922,9431,6795,6565,5096,5786,6936,6946,4988,5370,10642,10596,9130,9076,12572,13315,12936,12382,8698,9519,9781,9996,10547,10541,10657,11400,8941,9562,10453,11306,12492,12586,12688,12896,6755,7191,5534,5913,6746,7316,6554,6375,10808,11360,9832,9137,11072,10828,9158,9648,5486,5560,6832,6797,5964,5046,5247,5827,9873,8947,11275,11777,10426,10886,9458,9051,13377,12640,12613,12821,10644,11331,10467,11136,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,12443,12498,12593,12835,10834,10658,9619,9785,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,9580,9132,10542,10889,9406,9022,11011,10600,12588,12397,13336,12472,10001,9103,9813,9774,5899,5104,6365,6514,7429,6757,5719,5578,12822,13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序列组八:Z8_16384
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Claims (23)
1.一种极化码编码方法,其特征在于,包括:
编码装置获取K个待编码比特、母码长度N和第一序列,所述第一序列中包含N个极化子信道的序号,所述N个极化子信道的序号在所述第一序列中是按照所述N个极化子信道的可靠度进行排列的,N=2n,K≤N,N大于或等于32,K、n和N为正整数;
根据所述第一序列确定用于放置所述K个待编码比特的K个极化子信道并进行极化编码,得到编码后的比特序列;
对所述编码后的序列进行速率匹配,得到速率匹配后的序列;以及
输出所述速率匹配后的序列;
其中所述第一序列为附录中长度为N的任一个Q序列。
2.一种极化码解码方法,其特征在于,包括:
解码装置获取待解码信息序列,其中包括K个待解码比特;
确定母码长度N和和第一序列,所述第一序列中包含N个极化子信道的序号,所述N个极化子信道的序号在所述第一序列中是按照所述N个极化子信道的可靠度进行排列的,N=2n,K≤N,N大于或等于32,K、n和N为正整数;
根据所述第一序列确定用于放置所述K个待解码比特的K个极化子信道并对所述待解码信息序列进行解码,获取解码结果;
输出所述解码结果;
其中所述第一序列为附录中长度为N的任一个Q序列或者为附录中长度大于N的任一个Q序列的子序列。
4.如权利要求1-3中任意一项所述的方法,其特征在于,所述K个待编码比特中包括循环冗余校验比特。
5.如权利要求1-4中任意一项所述的方法,其特征在于,所述K个待编码比特中包括奇偶校验比特。
6.如权利要求1-5中任意一项所述的方法,其特征在于,所述根据所述第一序列确定用于放置所述K个待编码比特的K个极化子信道为:当M小于或等于N时,所述K个待编码比特映射到M-P个非打孔的极化子信道中可靠度较高的K个极化子信道,使得K个待编码比特所在的极化子信道的可靠度高于其余M-P-K个极化子信道的可靠度,M为目标码长,P为预冻结的极化子信道的数目,P大于或等于0。
7.根据权利要求1-6中任一项所述的方法,其特征在于,所述第一序列是预先存储的。
8.根据权利要求1-7中任一权利要求所述的方法,所述N个极化子信道的序号为0~(N-1)或1~N。
9.一种极化Polar码编码装置,其特征在于,包括:
获取单元,K个待编码比特,所述K为正整数;
编码单元,用于确定母码长度N和第一序列,以及根据所述第一序列确定用于放置所述K个待编码比特的K个极化子信道并进行极化编码,得到编码后的比特序列列,所述第一序列中包含N个极化子信道的序号,所述N个极化子信道的序号在所述第一序列中是按照所述N个极化子信道的可靠度进行排列的,N=2n,K≤N,N大于或等于32,K、n和N为正整数,其中所述第一序列为附录中长度为N的任一个Q序列或者为附录中长度大于N的任一个Q序列的子序列;以及
速率匹配单元,用于对所述编码后的比特序列进行速率匹配,获取并输出速率匹配后的比特序列。
10.一种Polar码解码装置,其特征在于,包括:
获取单元,用于获取待解码信息序列,其中包括K个待解码比特;
处理单元,用于确定母码长度N和和第一序列,所述第一序列中包含N个极化子信道的序号,所述N个极化子信道的序号在所述第一序列中是按照所述N个极化子信道的可靠度进行排列的,N=2n,K≤N,N大于或等于32,K、n和N为正整数,其中所述第一序列为附录中长度为N的任一个Q序列或者为附录中长度大于N的任一个Q序列的子序列,得到并输出解码结果;
所述处理单元还用于根据所述第一序列确定用于放置所述K个待解码比特的K个极化子信道并对所述待解码信息序列进行解码,获取并输出解码结果。
12.如权利要求10-12中任意一项所述的装置,其特征在于,所述K个待编码比特中包括循环冗余校验比特。
13.如权利要求10-13中任意一项所述的装置,其特征在于,所述K个待编码比特中包括奇偶校验比特。
14.如权利要求10-14中任意一项所述的装置,其特征在于,所述根据所述第一序列确定用于放置所述K个待编码比特的K个极化子信道为:当M小于或等于N时,所述K个待编码比特映射到M-P个非打孔的极化子信道中可靠度较高的K个极化子信道,使得K个待编码比特所在的极化子信道的可靠度高于其余M-P-K个极化子信道的可靠度,M为目标码长,P为预冻结的极化子信道的数目,P大于或等于0。
15.根据权利要求10-15中任一项所述的装置,其特征在于,所述第一序列是预先存储的。
16.根据权利要求10-16中任一权利要求所述的装置,所述N个极化子信道的序号为0~(N-1)或1~N。
17.一种Polar码编码装置,其特征在于,包括:
输入接口电路,用于获取K个待编码比特;
逻辑电路,用于基于所述K个待编码比特按照如权利要求1、3~8中任意一项所述的方法得到速率匹配后的序列;
输出接口电路,用于输出所述速率匹配后的序列。
18.一种极化Polar码编码装置,其特征在于,包括:处理器,用于执行如权利要求1、3~8任一项所述的方法。
19.如权利要求18所述的装置,其特征在于,还包括:存储器,用于存储由所述处理器执行如权利要求1、3~8中任一项所述的方法时所用的程序指令。
20.一种Polar码解码装置,其特征在于,包括:
输入接口电路,用于获取待解码信息序列;
逻辑电路,用于按照如权利要求2~8中任意一项所述的方法对所述待解码信息序列序列进行解码操作,从而得到解码结果;
输出接口电路,用于输出所述解码结果。
21.一种极化Polar码解码装置,其特征在于,包括:处理器,用于执行如权利要求2~8任一项所述的方法。
22.如权利要求21所述的装置,其特征在于,还包括:存储器,用于存储由所述处理器执行如权利要求2~8中任一项所述的方法时所用的程序指令。
23.一种计算机可读介质,其特征在于,存储有计算机程序指令,当所述计算机程序指令由计算机执行时,使得如权利要求1-8中任意一项所述的方法被执行。
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