[发明专利]基于序列的信号处理方法及信号处理装置在审
申请号: | 201811303070.9 | 申请日: | 2018-11-02 |
公开(公告)号: | CN109802820A | 公开(公告)日: | 2019-05-24 |
发明(设计)人: | 曲秉玉;龚名新;刘建琴 | 申请(专利权)人: | 华为技术有限公司 |
主分类号: | H04L5/00 | 分类号: | H04L5/00;H04L27/26 |
代理公司: | 深圳市深佳知识产权代理事务所(普通合伙) 44285 | 代理人: | 王仲凯 |
地址: | 518129 广东*** | 国省代码: | 广东;44 |
权利要求书: | 查看更多 | 说明书: | 查看更多 |
摘要: | 本申请提供了一种基于序列的信号处理方法及装置,通过确定满足PUSCH发送信号所使用的序列,该序列为包括N个元素的序列{xn},xn为所述序列{xn}中的元素,确定的序列{xn}为满足预设条件的序列,然后,生成第一信号并发送。利用上述确定的序列,可以在使用PUSCH发送信号时保持较好的序列频域平坦度,同时保持较低的PAPR值和较低的序列间互相关性,从而满足利用PUSCH发送信号的通信应用环境。尤其是,满足NR系统或NR类似场景。 | ||
搜索关键词: | 发送信号 信号处理 信号处理装置 类似场景 通信应用 预设条件 平坦度 频域 发送 申请 | ||
【主权项】:
1.一种基于序列的信号处理方法,其特征在于,所述信号处理方法包括:确定包括N个元素的序列{xn},N为大于1的正整数,xn为所述序列{xn}中的元素,所述序列{xn}为满足预设条件的序列,所述预设条件为:xn=A·bn·jn,n的取值为0至N‑1,A为非零复数,
元素bn=u·(1‑2·sn),u为非零复数,由元素sn组成的序列{sn}的集合至少包括第一序列集合中的序列之一或所述第一序列集合中的序列的等价序列之一;生成第一信号并发送;其中,当N=12时,所述第一序列集合中的序列包括序列集合1中的部分或全部,所述序列集合1中的序列包括:{1,0,0,0,0,0,0,0,1,0,1,1};{1,0,0,0,0,0,0,0,1,1,1,0};{1,0,0,0,0,0,0,1,0,1,0,1};{1,0,0,0,0,0,0,1,1,0,1,0};{1,0,0,0,0,0,1,0,0,0,1,0};{1,0,0,0,0,0,1,0,1,0,0,0};{1,0,0,0,0,1,0,0,1,0,1,0};{1,0,0,0,0,1,0,0,1,0,1,1};{1,0,0,0,0,1,0,1,0,0,0,1};{1,0,0,0,0,1,0,1,0,1,0,0};{1,0,0,0,0,1,0,1,1,0,1,1};{1,0,0,0,0,1,0,1,1,1,0,1};{1,0,0,0,0,1,1,0,0,0,1,0};{1,0,0,0,0,1,1,0,1,0,1,1};{1,0,0,0,0,1,1,0,1,1,1,0};{1,0,0,0,0,1,1,1,0,1,0,0};{1,0,0,0,0,1,1,1,0,1,0,1};{1,0,0,0,0,1,1,1,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,1,0};{1,0,0,1,0,0,0,1,0,0,1,1};{1,0,0,1,0,0,0,1,0,1,1,1};{1,0,0,1,0,0,0,1,1,1,1,0};{1,0,0,1,0,1,0,0,0,0,0,1};{1,0,0,1,0,1,0,0,0,1,1,1};{1,0,0,1,0,1,0,0,1,1,1,1};{1,0,0,1,0,1,0,1,1,1,1,1};{1,0,0,1,0,1,1,0,0,0,0,0};{1,0,0,1,0,1,1,0,1,1,1,1};{1,0,0,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,1,1,1,1,0,0,1};{1,0,0,1,0,1,1,1,1,1,0,1};{1,0,0,1,1,0,0,0,0,0,1,0};{1,0,0,1,1,0,0,0,0,1,0,1};{1,0,0,1,1,0,1,0,0,0,0,0};{1,0,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,1,0,1,0,1,1,1,1};{1,0,0,1,1,0,1,1,1,1,1,0};{1,0,0,1,1,1,0,1,0,1,1,1};{1,0,0,1,1,1,1,0,0,0,1,0};{1,0,0,1,1,1,1,0,1,0,0,0};{1,0,0,1,1,1,1,0,1,0,0,1};{1,0,0,1,1,1,1,0,1,0,1,1};{1,0,0,1,1,1,1,1,0,1,0,1};{1,0,0,1,1,1,1,1,0,1,1,0};{1,0,0,1,1,1,1,1,1,0,1,0};{1,1,0,0,0,0,0,1,1,0,1,0};{1,1,0,0,0,1,0,0,0,0,1,0};{1,1,0,0,0,1,0,0,0,1,1,0};{1,1,0,0,0,1,0,1,1,0,1,1};{1,1,0,0,0,1,0,1,1,1,1,1};{1,1,0,0,1,0,0,1,1,1,0,1};{1,1,0,0,1,0,1,1,1,1,0,1};{1,1,0,1,0,0,0,0,1,0,0,0};{1,1,0,1,0,0,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,1,1,1};{1,1,0,1,0,0,1,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,0,1,1};{1,1,0,1,0,1,0,1,1,1,1,0};{1,1,0,1,0,1,1,1,0,1,1,1};{1,1,0,1,0,1,1,1,1,1,0,1};和,{1,0,0,0,0,1,0,0,0,1,0,1};{1,0,0,0,0,1,0,0,1,1,1,0};{1,0,0,0,0,1,0,1,1,1,0,0};{1,0,0,0,0,1,1,0,1,0,0,0};{1,0,0,1,0,1,1,1,0,1,1,1};{1,0,0,1,1,1,1,0,1,1,1,0};{1,1,0,0,0,1,0,1,1,1,1,0};{1,1,0,1,0,0,0,1,1,0,1,1};和/或,当N=24时,所述第一序列集合中的序列包括序列集合2中的部分或全部,所述序列集合2中的序列包括:{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1};{1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,0,0};{1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1};{1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0};{1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1};{1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0};{1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1};{1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,1};{1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0};{1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1,0};{1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,1};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0};{1,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,1,1,1};{1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,1,0,0,1,1,1,0};{1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,1,1,1};{1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1};{1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0};{1,0,0,1,0,0,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0};{1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1};{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1};{1,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1};{1,0,0,1,0,1,0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,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1};{1,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1};{1,1,0,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0};{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,1,0};{1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0};{1,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0};{1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0};{1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,1};{1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0};{1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0};{1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{1,1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1};{1,1,0,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0};{1,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0};{1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0};{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,1};{1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,1,1};{1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0};{1,1,0,0,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0};{1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1};{1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1};{1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,1};{1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1};{1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1};{1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1};{1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,1,1,0,1,1};{1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1};{1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1};{1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1};{1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0};{1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0};和/或,当N=36时,所述第一序列集合中的序列至少包括序列集合3中的部分或全部,所述序列集合3中的序列包括:{0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1};{0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1};{0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,1};{0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1};{0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,1,1};{0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1};{0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1};{0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1};{0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1};{0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1};{0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1};{0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1};{0,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1};{0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1};{0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1};{0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1};{0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1};{0,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1};{0,0,0,0,0,1,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1};{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,1,0,1};{0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1};{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1};{0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,1,0,1};{0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1,1};{0,0,0,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1};{0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1};{0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1};{0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