JP2023539547A - ポーラ符号の符号化方法及び装置、及び、復号化方法及び装置 - Google Patents

ポーラ符号の符号化方法及び装置、及び、復号化方法及び装置 Download PDF

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JP2023539547A
JP2023539547A JP2023501322A JP2023501322A JP2023539547A JP 2023539547 A JP2023539547 A JP 2023539547A JP 2023501322 A JP2023501322 A JP 2023501322A JP 2023501322 A JP2023501322 A JP 2023501322A JP 2023539547 A JP2023539547 A JP 2023539547A
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ワン,ジュン
トォン,ウエン
ワン,シエンビン
リ,ルゥォン
ホアンフゥ,イオウルォイ
ダイ,ションチェン
ジャン,ホアズ
ワン,ジエン
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/09Error detection only, e.g. using cyclic redundancy check [CRC] codes or single parity bit
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/63Joint error correction and other techniques
    • H03M13/635Error control coding in combination with rate matching
    • H03M13/6362Error control coding in combination with rate matching by puncturing
    • H03M13/6368Error control coding in combination with rate matching by puncturing using rate compatible puncturing or complementary puncturing
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
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    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
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Abstract

この出願は、無線通信において使用されて、大きな量のデータの伝送を満足するとともに、システムスループットを改善するポーラ符号化方法、装置、及び媒体を提供する。その方法は、K個の符号化されるべきビット、マザー符号長さN、及び第1のシーケンスを取得するステップであって、第1のシーケンスは、N個の偏波サブチャネルのシーケンス番号を含み、N個の偏波サブチャネルのシーケンス番号は、N個の偏波サブチャネルの信頼性に基づいて、第1のシーケンスの中に配列され、N=2n、K≦Nであり、K、n、及びNは、正の整数である、ステップと、第1のシーケンスに基づいて、K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、K個の符号化されるべきビットに対して極性符号化を実行して、符号化されているビットシーケンスを取得し及び出力するステップと、を含む。

Description

この出願の複数の実施形態は、通信技術の分野に関し、特に、ポーラ符号の符号化方法及び装置に関する。
チャネル符号化は、最も基本的な無線アクセス技術として、信頼性の高いデータ伝送を保証する際には不可欠である。既存の無線通信システムにおいて、ターボ符号、低密度パリティチェック(low density parity check, LDPC)符号、及びポーラ(polar)符号は、通常、チャネル符号化を実行するのに使用される。ターボ符号は、極端に低い又は極端に高い符号レートでの情報伝送をサポートすることが不可能である。ターボ符号及びLDPC符号の符号化/復号化の特徴に起因して、中程度のパケット伝送及び短いパケット伝送については、符号長が限定されている場合に、ターボ符号及びLDPC符号が理想的な性能を達成することは困難である。実装の際に、ターボ符号及びLDPC符号は、符号化/復号化実装プロセスにおいて高い計算複雑性を有する。ポーラ符号は、シャノン容量を達成することが可能であることが理論的に立証されているとともに、低い符号化/復号複雑性を有する高性能符号であり、したがって、ますます広く適用されている。
第5世代(5th generation, 5G)通信システムにおいて、ポーラ符号は、制御チャネルの符号化スキームとして決定される。制御チャネルの中に含まれるデータ量は、通常、大きくないので、符号ブロックは、大きくない。3GPP規格の場合には、マザー符号長さがNmax=1024である信頼性ランキングシーケンスのみを指定し、その信頼性ランキングシーケンスは、1024個のサブチャネルの信頼性をソートして情報ビットの位置を選択するのに使用される。マザー符号長さNが1024よりも小さい他の場合については、対応する信頼性ランキングシーケンスとして、Nmax=1024である信頼性ランキングシーケンスの部分シーケンスを使用することによってもよい。このシーケンスネスト機能を使用することによって、システム設計を単純化することが可能である。
一方で、データチャネルの符号化の際に、複数の場合に、符号化のために長い符号ブロックを使用する必要がある。この場合には、依然としてNmax=1024である信頼性ランキングシーケンスを使用するのは十分ではない。したがって、データチャネルの要求を満たす長い信頼性ランキングシーケンスをどのように設計するかは、解決する必要がある問題となっている。
この出願の複数の実施形態は、無線通信に適用されて、大きなデータブロックのポーラ符号の符号化をサポートするとともに、既存のNRシステムがサポートする信頼性ランキングシーケンスとの後方互換性を可能にするポーラ符号の符号化方法及び装置を提供する。このことは、従来の技術を最大限に再利用する。
この出願の複数の実施形態によって提供される特定の技術的解決方法は、以下のようになる。
第1の態様によれば、以下のことを含むポーラ符号の符号化方法が提供される。
符号化装置は、K個の符号化されるべきビット、マザー符号長さN、及び第1のシーケンスを取得し、前記第1のシーケンスは、N個の偏波サブチャネルのシーケンス番号を含み、前記N個の偏波サブチャネルの前記シーケンス番号は、前記N個の偏波サブチャネルの信頼性に基づいて、前記第1のシーケンスの中に配列され、N=2nであり、且つ、K≦Nであり、Nは、32以上であり、K、n、及びNは、正の整数であり、
前記第1のシーケンスに基づいて、前記K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、前記K個の符号化されるべきビットに対して極性符号化を実行して、符号化されているビットシーケンスを取得し、
前記符号化されているシーケンスに対してレートマッチングを実行して、レートマッチングされているシーケンスを取得し、
前記レートマッチングされているシーケンスを出力し、
前記第1のシーケンスは、前記付録の中で長さがNであるいずれかのQシーケンスである。
この設計は、大きなデータブロックの特徴に適合し、既存のNRシステムがサポートする信頼性ランキングシーケンスとの間で後方互換性を有することが可能である。このことは、実装の際の困難さを減少させる。
ある1つの可能な設計において、前記第1のシーケンスは、第2のシーケンスの部分シーケンスであり、前記第2のシーケンスは、Nmax個の偏波サブチャネルのシーケンス番号を含み、前記Nmax個の偏波サブチャネルの前記シーケンス番号は、前記Nmax個の偏波サブチャネルの信頼性に基づいて、前記第2のシーケンスの中に配列され、Nは、Nmax以下であり、且つ、
Figure 2023539547000002
であり、nmaxは、正の整数であり、nは、nmax以下であり、前記第2のシーケンスは、前記付録の中で長さがNmaxであるいずれかのQシーケンスである。
ある1つの可能な設計において、前記K個の符号化されるべきビットは、巡回冗長検査ビットを含む。
ある1つの可能な設計において、前記K個の符号化されるべきビットは、パリティチェックビットを含む。
ある1つの可能な設計において、前記ポーラ符号化方法は、ネットワークデバイス又は端末によって実行される。
ある1つの可能な設計において、前記第1のシーケンスに基づいて、前記K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定する前記ステップは、MがN以下であるときに、M-P個のパンクチャリングされていない偏波サブチャネルのうちで信頼性の高い前記K個の偏波サブチャネルへと、前記K個の符号化されるべきビットをマッピングして、前記K個の符号化されるべきビットを含む前記偏波サブチャネルの信頼性が、残りのM-P-K個の偏波サブチャネルの信頼性よりもより高くなることを可能とするステップであり、Mは、ターゲット符号長さであり、Pは、あらかじめ凍結されている偏波サブチャネルの数であり、Pは、0以上である。
ある1つの可能な設計において、前記第1のシーケンスは、あらかじめ格納されている。
ある1つの可能な設計において、前記N個の偏波サブチャネルの前記シーケンス番号は、0乃至(N-1)又は1乃至Nの範囲にある。
第2の態様によれば、以下のことを含むポーラ符号の復号化方法が提供される。
復号化装置は、復号化されるべき情報シーケンスを取得し、前記復号化されるべき情報シーケンスは、K個の復号化されるべきビットを含み、
マザー符号長さN及び第1のシーケンスを決定し、前記第1のシーケンスは、N個の偏波サブチャネルのシーケンス番号を含み、前記N個の偏波サブチャネルの前記シーケンス番号は、前記N個の偏波サブチャネルの信頼性に基づいて、前記第1のシーケンスの中に配列され、N=2n、K≦Nであり、Nは、32以上であり、K、n、及びNは、正の整数であり、
前記第1のシーケンスに基づいて、前記K個の復号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、前記復号化されるべき情報シーケンスを復号化して、復号化結果を取得し、
前記復号化結果を出力し、
前記第1のシーケンスは、前記付録の中で長さがNであるいずれかのQシーケンスであるか、又は、前記付録の中で長さがNよりも長いいずれかのQシーケンスの部分シーケンスである。
この設計は、第1の態様にしたがった符号化方法に完全に対応し、大きなデータブロックの特徴に適合し、既存のNRシステムがサポートする信頼性ランキングシーケンスとの間で後方互換性を有することが可能である。このことは、実装の際の困難さを減少させる。
ある1つの可能な設計において、前記第1のシーケンスは、第2のシーケンスの部分シーケンスであり、前記第2のシーケンスは、Nmax個の偏波サブチャネルのシーケンス番号を含み、前記Nmax個の偏波サブチャネルの前記シーケンス番号は、前記Nmax個の偏波サブチャネルの信頼性に基づいて、前記第2のシーケンスの中に配列され、Nは、Nmax以下であり、且つ、
Figure 2023539547000003
であり、nmaxは、正の整数であり、nは、nmax以下であり、前記第2のシーケンスは、前記付録の中で長さがNmaxであるいずれかのQシーケンスである。
ある1つの可能な設計において、前記K個の符号化されるべきビットは、巡回冗長検査ビットを含む。
ある1つの可能な設計において、前記K個の符号化されるべきビットは、パリティチェックビットを含む。
ある1つの可能な設計において、前記ポーラ符号化方法は、ネットワークデバイス又は端末によって実行される。
ある1つの可能な設計において、前記第1のシーケンスに基づいて、前記K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定する前記ステップは、MがN以下であるときに、M-P個のパンクチャリングされていない偏波サブチャネルのうちで信頼性の高い前記K個の偏波サブチャネルへと、前記K個の符号化されるべきビットをマッピングして、前記K個の符号化されるべきビットを含む前記偏波サブチャネルの信頼性が、残りのM-P-K個の偏波サブチャネルの信頼性よりもより高くなることを可能とするステップであり、Mは、ターゲット符号長さであり、Pは、あらかじめ凍結されている偏波サブチャネルの数であり、Pは、0以上である。
ある1つの可能な設計において、前記第1のシーケンスは、あらかじめ格納されている。
ある1つの可能な設計において、前記N個の偏波サブチャネルの前記シーケンス番号は、0乃至(N-1)又は1乃至Nの範囲にある。
第3の態様によれば、ポーラ符号の符号化装置が提供される。当該装置は、第1の態様及び第1の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実装する機能を有する。この機能は、ハードウェアによって実装されてもよく又は対応するソフトウェアを実行するハードウェアによって実装されてもよい。ハードウェア又はソフトウェアは、上記の機能に対応する1つ又は複数のモジュールを含む。
ある1つの可能な設計において、ハードウェアを使用することによって、複数の機能のうちの一部又はすべてを実装するときに、ポーラ符号の符号化装置は、符号化されるべきビットを取得するように構成される入力インターフェイス回路、第1の態様及び第1の態様の複数の可能な設計のうちのいずれかの1つにしたがって操作を実行するように構成される論理回路、及び、レートマッチングされているシーケンスを出力するように構成される出力インターフェイス回路を含む。
選択的に、ポーラ符号の符号化装置は、チップ又は集積回路であってもよい。
ある1つの可能な設計において、ソフトウェアを使用することによって、複数の機能のうちの一部又はすべてを実装するときに、ポーラ符号の符号化装置は、プログラムを格納するように構成されるメモリ、及び、そのメモリの中に格納されているプログラムを実行するように構成されるプロセッサを含む。プログラムが実行されるときに、ポーラ符号の符号化装置は、第1の態様及び第1の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実装してもよい。
選択的に、メモリは、物理的に独立しているユニットであってもよく、又は、プロセッサと一体化されていてもよい。
ある1つの可能な設計において、複数の機能のうちの一部又はすべてがソフトウェアを使用することによって実装されるときに、ポーラ符号の符号化装置は、プロセッサを含む。プログラムを格納するように構成されるメモリは、ポーラ符号の符号化装置の外部に位置し、プロセッサは、回路/ケーブルによってメモリに接続されて、メモリの中に格納されているプログラムを読み出し及び実行するように構成される。
ある1つの可能な設計において、当該装置は、ネットワークデバイス又は端末である。
第4の態様によれば、ポーラ符号の復号化装置が提供される。当該装置は、第2の態様及び第2の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実装する機能を有する。その機能は、ハードウェアによって実装されてもよく、又は、対応するソフトウェアを実行するハードウェアによって実装されてもよい。ハードウェア又はソフトウェアは、上記の機能に対応する1つ又は複数のモジュールを含む。
ある1つの可能な設計において、ハードウェアを使用することによって、複数の機能のうちの一部又はすべてを実装するときに、ポーラ符号の復号化装置は、復号化されるべき情報シーケンスを取得するように構成される入力インターフェイス回路、第2の態様及び第2の態様の複数の可能な設計のうちのいずれかの1つにしたがって操作を実行するように構成される論理回路、及び、復号化結果を出力するように構成される出力インターフェイス回路を含む。
選択的に、ポーラ符号の復号化装置は、チップ又は集積回路であってもよい。
ある1つの可能な設計において、ソフトウェアを使用することによって、複数の機能のうちの一部又はすべてを実装するときに、そのポーラ符号の復号化装置は、プログラムを格納するように構成されるメモリ、及びメモリの中に格納されているプログラムを実行するように構成されるプロセッサを含む。プログラムが実行されるときに、ポーラ符号の復号化装置は、第1の態様及び第1の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実装してもよい。
選択的に、メモリは、物理的に独立しているユニットであってもよく、又は、プロセッサと一体化されていてもよい。
ある1つの可能な設計において、複数の機能のうちの一部又はすべてがソフトウェアを使用することによって実装されるときに、ポーラ符号の復号化装置は、プロセッサを含む。プログラムを格納するように構成されるメモリは、ポーラ符号の復号化装置の外部に位置し、プロセッサは、回路/ケーブルによってメモリに接続されて、メモリの中に格納されているプログラムを読み出し及び実行するように構成される。
ある1つの可能な設計において、当該装置は、ネットワークデバイス又は端末である。
第5の態様によれば、通信システムが提供される。通信システムは、ネットワークデバイス及び端末を含む。ネットワークデバイスは、第1の態様及び第1の態様の複数の可能な設計にしたがった方法を実行し、端末は、第2の態様及び第2の態様の複数の可能な設計にしたがった方法を実行する。代替的に、端末ネットワークデバイスは、第1の態様及び第1の態様の複数の可能な設計にしたがった方法を実行し、ネットワークデバイスは、第2の態様及び第2の態様の複数の可能な設計にしたがった方法を実行する。
第6の態様によれば、コンピュータ記憶媒体が提供され、当該コンピュータ記憶媒体は、コンピュータプログラムを格納する。そのコンピュータプログラムは、第1の態様及び第1の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実行するのに使用される命令を含む。
第7の態様によれば、コンピュータ記憶媒体が提供され、当該コンピュータ記憶媒体は、コンピュータプログラムを格納する。そのコンピュータプログラムは、第2の態様及び第2の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実行するのに使用される命令を含む。
第8の態様によれば、この出願のある1つの実施形態は、命令を含むコンピュータプログラム製品を提供する。それらの命令がコンピュータによって実行されるときに、そのコンピュータが、上記の複数の態様における方法を実行することを可能とする。
第9の態様によれば、符号化装置及びトランシーバーを含む無線デバイスが提供され、それらの符号化装置及びトランシーバーは、第1の態様及び第1の態様の複数の可能な設計のうちのいずれか1つを実装するように構成される。
トランシーバーは、信号を受信し又は送信するように構成される。
ある1つの可能な設計において、無線デバイスは、端末又はネットワークデバイスである。
第10の態様によれば、符号化装置及びトランシーバーを含む無線デバイスが提供され、それらの符号化装置及びトランシーバーは、第2の態様及び第2の態様の複数の可能な設計のうちのいずれか1つを実装するように構成される。
トランシーバーは、信号を受信し又は送信するように構成される。
ある1つの可能な設計において、無線デバイスは、端末又はネットワークデバイスである。
この出願のある1つの実施形態が適用される通信システムのアーキテクチャの概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の符号化方法の概略的なフローチャートである。 この出願のある1つの実施形態にしたがったポーラ符号の符号化装置の構成の第1の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の符号化装置の構成の第2の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号装置の構成の第3の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の符号化装置の構成の第4の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の復号化装置の構成の第1の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の復号化装置の構成の第2の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の復号化装置の構成の第3の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の復号化装置の構成の第4の概略的な図である。
以下の記載は、複数の添付の図面を参照して、この出願の複数の実施形態を詳細に説明する。
既存の5G NR規格における制御チャネルのために使用されるポーラ符号の符号化スキームが、データチャネルの特徴を考慮することなく、直接的に、データに適用される場合に、現行の5G NR規格においては、ポーラ符号の最大マザー符号長さが1024となるという理由から、サポートすることが可能であるデータパケット長さは制限される。したがって、データチャネルにより適するポーラ符号の符号化スキームを再設計する必要がある。加えて、ポーラ符号の符号化スキームが制御チャネルに適用可能であるということが最適である。
この出願の複数の実施形態は、ポーラ符号の符号化方法及び装置を提供する。情報ビットを送信するのに使用される偏波サブチャネルのシーケンス番号は、あらかじめ格納されている信頼性ランキングシーケンス又はその信頼性ランキングシーケンスの部分シーケンスに基づいて選択され、ポーラ符号の符号化は、情報偏波サブチャネルの選択されているシーケンス番号に基づいて実行される。その次に、符号化されているシーケンスに対してレートマッチング操作を実行し、そして、レートマッチングされているシーケンスを出力し、レートマッチング操作は、反復、パンクチャリング、又は短縮を含む。この出願の複数の実施形態は、データチャネルにより適用可能である。以下の記載は、複数の添付の図面を参照して、本発明の複数の実施形態によって提供されるポーラ符号の符号化方法及び装置を詳細に説明する。
この出願の複数の実施形態を理解する便宜上、以下で、ポーラ符号を簡単に説明する。
ポーラ符号の符号化ポリシーによれば、無雑音チャネルは、ユーザにとって有用な情報を伝送するのに使用され、一方で、純粋な雑音チャネルは、合意された情報を伝送するのに使用されるか、又は、情報を伝送するのには使用されない。ポーラ符号は、また、線形ブロック符号である。ポーラ符号の符号化行列は、GNであり、符号化プロセスは、
Figure 2023539547000004
となる。
Figure 2023539547000005
は、長さがN(すなわち、符号長さ)である2進列ベクトルである。符号化の前及び後のシーケンスx及びuの長さは、双方ともNであり、Nは、また、マザー符号長さと称されるということを知ることが可能である。GNは、N×N行列であり、
Figure 2023539547000006
である。
Figure 2023539547000007

は、log2N個の行列F2のクロネッカー(Kronecker)積として定義される。その行列は、
Figure 2023539547000008
である。複数の実装のうちのいくつかにおいて、
及び GNの転置行列が存在する場合がある。本質的にポーラ符号の性能に影響を与えないので、この出願においては、詳細は説明されない。
ポーラ符号の符号化プロセスにおいて、
の中のビットのある1つの部分は、情報を搬送するのに使用され、情報ビットのセットと称され、ビットのインデックスのセットは、Aとして示され、ビットの他の部分は、受信端と送信端との間であらかじめ合意されている固定値に設定され、固定ビットのセット又は凍結されているビット(frozen bits)のセットと称され、ビットのインデックスのセットは、Aの相補的なセットACによって示される。ポーラ符号の符号化プロセスは、
と同等である。本明細書においては、GN(A)は、GNの中でセットAの中のインデックスに対応する行を使用することによって得られる部分行列であり、GN(AC)は、GNの中でセットACの中のインデックスに対応する行を使用することによって得られる部分行列であり、uAは、
の中の情報ビットのセットであり、情報ビットの数は、Kである。通常、これらには限定されないが、巡回冗長検査(Cyclic Redundancy Check, 略称、CRC)ビット及びパリティチェック(Parity Check, 略称、PC)ビットを含むさまざまなタイプの検査ビットは、また、情報ビットのセットの中に含まれてもよい。
は、
の中の凍結されているビットのセットであり、凍結されているビットの数は、(N-K)であり、凍結されているビットは、既知のビットである。これらの凍結されているビットは、通常、0に設定される。一方で、それらの凍結されているビットの値は、その値が受信端及び送信端によってあらかじめ合意されている限りは、任意の値に設定されてもよい。したがって、ポーラ符号の符号化出力は、

のように単純化されてもよい。本明細書においては、uAは、
の中の情報ビットのセットであり、uAは、長さKの行ベクトルである、すなわち、|A|=Kである。
は、そのセットの中の要素の数を示し、Kは、情報ブロックサイズであり、GN(A)は、行列GNの中でセットAの中のインデックスに対応する行を使用することによって得られる部分行列であり、GN(A)は、K×N行列である。
マザー符号長さNを決定した後に、ポーラ符号の構築プロセスは、セットAの選択プロセスであり、ポーラ符号の性能を決定する。ポーラ符号の構築プロセスは、通常、マザー符号長さNに基づいて、N個の偏波チャネルが併存するということを決定するというプロセスであり、N偏波チャネルは、それぞれ、符号化行列の中のN個の行に対応する。
レートマッチングを実行しないときに、セットAの要素として、信頼性の高い第1のK個の偏波サブチャネルのインデックスを使用し、凍結されているビットのインデックスセットACの要素として、残りの(N-K)個の偏波サブチャネルに対応するインデックスを使用する。そのセットAは、情報ビットの位置を決定し、セットACは、凍結されているビットの位置を決定する。偏波チャネルのシーケンス番号は、情報ビット又は凍結されているビットの位置インデックスである、すなわち、
の中の位置インデックスである。
レートマッチングを実行するときに、特に、パンクチャリング(puncture)又は短縮化(shorten)を実行するときに、通常、パンクチャリングする又は短縮化をする(すなわち、削除する)必要があるN-M個の偏波サブチャネルを最初に決定する。本明細書においては、Mは、ターゲット符号長さである、すなわち、レートマッチングされているビットシーケンスの長さであり、本明細書において選択されるN-M個の偏波サブチャネルは、凍結されているビットを収容するのに使用される。5G NR規格においては、パンクチャリングを実行するときに、さらに、追加的に、あらかじめ凍結されている偏波サブチャネルのいくつかを決定し、それらのあらかじめ凍結されている偏波サブチャネルのいくつかは、また、凍結されているビットを収容するのに使用される。本明細書においては、あらかじめ凍結されている偏波サブチャネルの数は、Pとして定義され、Pは、0以上である(5G NRにおいては、短縮化を実行するときに、Pは、0であり、この場合には、Pを考慮しなくてもよい。このことは、この出願においては限定されない)。その次に、信頼性に基づいて、残りのM-P個の偏波サブチャネルから、信頼性の高いK個の偏波サブチャネルを選択して、K個の情報ビットを収容する。もちろん、代替的に、凍結されているビットを収容するために、最初に、信頼性の低いM-P-K個のサブチャネルを選択してもよく、その結果、残りのK個のサブチャネルは、情報ビットを収容するのに使用される。K個の情報ビットを収容するK個の偏波サブチャネルのうちの任意の偏波サブチャネルの信頼性は、凍結されているビットを収容するM-P-K個のサブチャネルのうちの任意のサブチャネルの信頼性よりもより高い。この出願においては、Pの値は、限定されない。パンクチャリングを実行するときであっても、Pは、0であってもよい。短縮化を実行するときであっても、Pは、0よりも大きくてもよい。このことは、この出願におけ複数のる技術的解決方法の実装には影響を与えない。エンコーダであるか又はデコーダであるかにかかわらず、K個のサブチャネルがK個の情報ビットを収容するのに使用されるということを決定するための原理及び方法は、一貫している。5G NR規格においては、N-M個の偏波サブチャネルの選択の場合には、ある1つの解決方法は、循環バッファ(英文: circular buffer, レートマッチングされているシーケンスに相当する)の中に、(32個のサブブロックに分割する)サブブロックインターリーブ後に得られるシーケンスを収容することである。パンクチャリングを実行する場合には、循環バッファの中への読み込みは、(N-M)番目の位置から開始し、その結果、0番目の位置から(N-M-1)番目の位置までのビットは、破棄される。短縮化を実行する場合には、読み込みは、循環バッファの中の0番目の位置から(M-1)番目の位置に及ぶように開始し、その結果、M番目の位置から(N-1)番目の位置までのビットは、破棄される。一般的に、長さがマザー符号長さNである信頼性ランキングシーケンスは、複数の異なる偏波サブチャネルの間の相対的な信頼性関係を表すのに使用される。信頼性ランキングシーケンスは、N個の偏波サブチャネルの(0から開始してN-1に及ぶ)シーケンス番号を含み、それらのシーケンス番号は、信頼性の大きい順に又は信頼性の小さい順に配列されてもよい。一般性を損なうことなく、この出願は、シーケンス番号が信頼性の小さい順に配列されるある1つの例を使用する。
本明細書において説明されている相対的な信頼性関係は、ある特定の信頼性計算方式に基づいているということに留意するべきである。複数の異なる信頼性計算方式は、複数の偏波サブチャネルの間の相対的な信頼性関係の変化を生じさせる場合がある。ところが、情報ビットを収容するのに使用される偏波サブチャネルを選択する方法は同じである。5G NR規格に加えて、また、情報ビットが最後にパンクチャリングされている又は短縮化されている偏波サブチャネルの中に収容されていると考えてもよい。この出願においては、5G NR規格にしたがって、情報ビットを含む偏波サブチャネルを選択する必要があるということは限定されない。
5G NR規格においては、複数の異なるマザー符号長さに対応する信頼性ランキングシーケンスが、ネスティング特徴を満たす、すなわち、マザー符号長さNがマザー符号長さN'以下であるときに、Nに対応する信頼性ランキングシーケンスにおける偏波サブチャネル(偏波サブチャネル0,…,N-1)の信頼性の間の相対的な関係は、N'に対応する信頼性ランキングシーケンスにおける偏波サブチャネル(偏波サブチャネル0,…,N-1)の信頼性の間の相対的な関係と一致する。言い換えると、N'に対応する信頼性ランキングシーケンスにおいて、Nよりも小さい偏波サブチャネルの番号のみが保持され、N個の偏波サブチャネルの複数の番号の位置の間の相対的なランキング関係は、変化しない。このように、Nに対応する信頼性ランキングシーケンスを取得してもよい。したがって、長さがNである信頼性ランキングシーケンスは、長さがN'である信頼性ランキングシーケンスの部分シーケンスと称されてもよく、Nは、N'以下である。例えば、N'=8であり、信頼性ランキングシーケンス1は、[0,4,6,2,3,1,7,5]である。同様に、N=4であり、且つ、信頼性ランキングシーケンス2が[0,2,3,1]である場合に、シーケンス2は、シーケンス1の部分シーケンスとなっている。したがって、特定の実装においては、複数の異なるマザー符号長さの信頼性ランキングシーケンスをあらかじめ格納してもよい。代替的に、長さが最大マザー符号長さNmaxに等しい信頼性ランキングシーケンスのみをあらかじめ格納してもよく、マザー符号長さNに対応する他の信頼性ランキングシーケンスは、最大マザー符号長さに対応する信頼性ランキングシーケンスにおいてNよりも小さい偏波サブチャネルのシーケンス番号のみを保持することによって得られる。このように、ストレージのオーバーヘッドを減少させることが可能である。特に、シーケンスは、また、そのシーケンスの部分シーケンスであってもよい。したがって、Nの最大値は、Nmaxに等しくてもよい。
図1は、本発明のある1つの実施形態にしたがった無線通信ネットワークの構成の概略的な図である。図1は、ある1つの例であるにすぎず、本発明の複数の実施形態における符号化方法又は符号化装置を適用することが可能である他の無線ネットワークは、本発明の保護の範囲の中に含まれるものとする。
図1に示すように、無線通信ネットワーク100は、ネットワークデバイス110及び端末112を含む。無線通信ネットワーク100がコアネットワーク102を含むときに、ネットワークデバイス110は、さらに、コアネットワーク102に接続されてもよい。ネットワークデバイス110は、さらに、インターネット(Internet)、プライベートIPネットワーク、又は他のデータネットワーク等のIPネットワーク104との間で通信してもよい。ネットワークデバイスは、カバレッジの中の端末にサービスを提供する。例えば、図1を参照するべきである。ネットワークデバイス110は、ネットワークデバイス110のカバレッジの中の1つ又は複数の端末112に無線アクセスを提供する。加えて、例えば、ネットワークデバイス110及びネットワークデバイス120等のネットワークデバイスのカバレッジは、重複領域を有してもよい。ネットワークデバイスは、さらに、互いに通信してもよい。例えば、ネットワークデバイス110は、ネットワークデバイス120と通信してもよい。
ネットワークデバイスは、端末デバイスとの間で通信するように構成されるデバイスであってもよい。例えば、ネットワークデバイスは、LTEシステムにおける進化型NodeB(Evolved NodeB, eNB, 又は、eNodeB)であってもよく、5Gネットワークの中のgNBであってもよく、衛星通信における衛星であってもよく、又は、将来的な通信システムにおけるネットワーク側デバイス等であってもよい。代替的に、ネットワークデバイスは、中継局、アクセスポイント、又は、車載型デバイス等であってもよい。デバイス間(Device to Device, D2D)通信システム、マシン間(Machine to Machine, M2M)通信システム、及び車両のインターネットシステムにおいて、ネットワークデバイスは、代替的に、基地局として機能する端末であってもよい。
端末は、ユーザ機器(User Equipment, UE)、アクセス端末、加入者ユニット、移動局、遠隔局、遠隔端末、モバイルデバイス、ユーザ端末、無線通信デバイス、ユーザエージェント、又はユーザ装置であってもよい。アクセス端末は、セルラー電話、コードレス電話、セッション開始プロトコル(Session Initiation Protocol, SIP)電話、無線ローカルループ(Wireless Local Loop, WLL)局、パーソナルディジタルアシスタント(Personal Digital Assistant, PDA)、無線通信機能を有するハンドヘルドデバイス、コンピューティングデバイス、無線モデムに接続される他の処理デバイス、車載型デバイス、ウェアラブルデバイス、又は将来的な通信ネットワークにおける端末デバイスであってもよい。
図1に示されている通信システムのアーキテクチャに基づいて、この出願の複数の実施形態においては、ポーラ符号の符号化方法は、上記のネットワークデバイス又は端末によって実行されてもよい。ネットワークデバイス又は端末が、データ又は情報を送信するための送信端として使用されるときに、ポーラ符号の符号化方法を使用してもよい。それに対応して、ネットワークデバイス又は端末が、データ又は情報を受信するための受信端として機能するときに、ネットワークデバイス又は端末は、また、本発明によって説明されている方法にしたがって、信頼性ランキングシーケンスを決定し、そして、その次に、復号化を実行する必要がある。以下の記載は、この出願の複数の実施形態によって提供されるポーラ符号の符号化方法を詳細に説明する。
図1に示されている通信システムのアーキテクチャに基づいて、図2に示されているように、この出願のある1つの実施形態によって提供されるポーラ符号の符号化方法のある特定のプロセスは、以下のようになる。
操作210: K個の符号化されるべきビット、ターゲット符号長さM、マザー符号長さN、及び第1のシーケンスを取得し、第1のシーケンスは、信頼性ランキングシーケンスであり、N個の偏波サブチャネルのシーケンス番号を含み、N個の偏波サブチャネルのシーケンス番号は、N個の偏波サブチャネルの信頼性に基づいて、第1のシーケンスの中に配列され、N=2nであり、且つ、K≦Nである。ポーラ符号の適用シナリオにおいて、Nは、32以上の値であってもよく、M、K、n、及びNは、正の整数である。
本明細書におけるK個の符号化されるべきビットは、ペイロードビットのみを含んでもよく、又は、ペイロードビットのほかに、CRCビット及びPCビット等の他のタイプの凍結されていないビットのうちの1つ又は複数のタイプを含んでもよい。
5G NRシステムにおいては、ターゲット符号長さM及び符号レート等の要因に基づいて、どのようにしてマザー符号長さNを取得するかを規定する。このことは、この出願において解決するべき技術的課題ではないので、マザー符号長さNを取得する方式をそのまま使用し、5G NR方式のみが、この出願の解決方法においてマザー符号長さNを取得するのに使用されてもよいということは示されない。
Nを決定した後に、長さがNである第1のシーケンスを決定してもよい。上記で説明されているように、第1のシーケンスは、あらかじめ格納されていてもよく、又は、第2のシーケンスから抽出される長さがNである部分シーケンスであってもよい。第2のシーケンスは、長さが最大マザー符号長さNmaxである信頼性ランキングシーケンスである。具体的には、第1のシーケンスは、付録の中で長さがNであるいずれかのQシーケンスであってもよく、又は、付録の中で長さがNよりも長いいずれかのQシーケンスの部分シーケンスであってもよく、第2のシーケンスは、付録の中で長さがNmaxであるいずれかのQシーケンスであってもよく、第1のシーケンスは、第2のシーケンスの部分シーケンスであり、Nは、Nmax以下である。Nmaxは、2048、4096、8192、及び16384のうちのいずれか1つであってもよい。
この出願においては、付録は、復号化実装、レートマッチング、及び符号ブロック再送信に基づいて、長い符号ブロックの符号化に適用可能であるポーラ符号の複数の信頼性ランキングシーケンスの8つのグループを提供する。信頼性に関して、シーケンスの各々のグループは、2048、4096、8192、及び16384の長さを有して、信頼性の小さい順に配列されている信頼性ランキングシーケンス(Qx_yシーケンスであり、そのQx_yシーケンスは、一般的に、理解を容易にするために、Qシーケンスと称され、xは、1から8までの任意の整数であり、yは、2048、4096、8192、及び16384のうちのいずれかの値である。このことは、また、以下の記載に適用される。)、及び、対応する信頼性位置シーケンス(Zx_yシーケンスであり、そのZx_yシーケンスは、一般的に、理解を容易にするために、Zシーケンスと称され、xは、1から8までの任意の整数であり、yは、2048、4096、8192、及び16384のうちのいずれかの値である。このことは、また、以下の記載に適用される。)を含む。Qシーケンスについては、そのシーケンスの中の各々の値は、偏波サブチャネルのシーケンス番号であり、そのシーケンスの中の値の位置は、信頼性の順になっている。位置が高いほど、信頼性が低いことを示す。Zシーケンスについては、そのシーケンスの中の各々の値は、偏波サブチャネルのすべての信頼性における値(すなわち、その値を含む偏波サブチャネル)の信頼性の順になっている位置である。そのQシーケンスは、Zシーケンスと1対1の対応関係にある。簡単な例では、Qシーケンスが[0,4,6,2,3,1,7,5]である場合には、対応するZシーケンスは、[0,5,3,4,1,7,2,6]となり、Qシーケンス及びZシーケンスの双方は、偏波サブチャネル5が、最も高い信頼性を有し、偏波サブチャネル7が、2番目に高い信頼性を有し、そして、偏波サブチャネル1が、3番目に高い信頼性を有するということを示す。類推により残りのものを演繹することが可能である。偏波サブチャネル0は、最も低い信頼性を有する。付録の中では、長さが1024よりも長い信頼性ランキングシーケンスのみが提供されているということに留意するべきである。これは、それらのシーケンスが後方互換性があるという理由による。具体的にいうと、5G NRプロトコルによって規定されている長さがNmax=1024である信頼性ランキングシーケンスは、付録の中のいずれかのQx_yシーケンスの部分シーケンスである。言い換えると、5G NRプロトコルによって使用される長さが個々に32、64、128、256、512、又は1024である信頼性ランキングシーケンスは、付録の中のいずれかのQx_yシーケンスの部分シーケンスである。実際の実装においては、K個の偏波サブチャネルは、通常、Qシーケンスを使用することによって選択されるが、また、Zシーケンスを使用することによって選択されてもよい。
シーケンスグループ1(Q1_y及びZ1_y): そのシーケンスを設計するための基準は、復号化性能を保証し、そして、極性復号化のための高度な並列性を提供して、さらに復号化遅延を減少させることである。
シーケンスグループ2(Q2_y及びZ2_y): 現在、NRにおいては、反復レートマッチングスキームに加えて、符号レートに基づいてパンクチャリング及び短縮化を行う2つのレートマッチングスキームが存在する。そのシーケンスを設計するための基準は、パンクチャリングが実行されるレートマッチングスキームにおける性能を優先的に最適化することである。
シーケンスグループ3(Q3_y及びZ3_y): 現在、NRにおいては、反復レートマッチングスキームに加えて、符号レートに基づいてパンクチャリング及び短縮化を行う2つのレートマッチングスキームが存在する。そのシーケンスを設計するための基準は、短縮化が実行されるレートマッチングスキームにおける性能を優先的に最適化することである。
シーケンスグループ4(Q4_y及びZ4_y): データチャネルにおいて、HARQをサポートする必要がある。現在、業界において一般的に使用されているポーラ符号HARQ解決方法は、主として、IR及びIFを含む。シーケンスを設計するための基準は、IR(Incremental Redundancy, 増分冗長)HARQ性能及びIF(Incremental Frozen, 増分凍結)HARQ性能の双方を考慮することである。
データチャネルのハイスループット通信シナリオにおいては、システムは、複数の固定MCSフォーマットのうちのいくつかを定義し、対応する必要なマザー符号長さは、2048/4096/8192/16384等を含むことが期待される。マザー符号の長さは、細分割されるシナリオが異なると変化する。したがって、複数の信頼性ランキングシーケンスのうちのいくつかは、本発明において複数の異なるマザー符号長さ及び変調スキームのために設計される。
シーケンスグループ5(Q5_y及びZ5_y): 16-QAM変調スキームにおける性能は、優先的に考慮されるが、また、他の変調スキームにおける性能が要件を満たすということを保証することが可能である。
シーケンスグループ6(Q6_y及びZ6_y): 64-QAM変調スキームにおける性能は、優先的に考慮されるが、また、他の変調スキームにおける性能が要件を満たすということを保証することが可能である。
シーケンスグループ7(Q7_y及びZ7_y): マザー符号長さ2048の性能は、優先的に考慮されるが、また、他のマザー符号長さの性能が要件を満たすということを保証することが可能である。
シーケンスグループ8(Q8_y及びZ8_y): マザー符号長さ4096の性能は、優先的に考慮されるが、また、他のマザー符号長さの性能が要件を満たすということを保証することが可能である。
以下の点に注意を払うべきである。
1. 長さが1024であるとともに5G NRプロトコルによって与えられる信頼性ランキングシーケンスは、付録の中のいずれかのQシーケンスの部分シーケンスである。このように、データチャネル符号化要件を満たし、既存のプロトコルとの互換性を保証する。それに対応して、長さがそれぞれ32、64、128、256、512、又は、1024であるとともに、5G NRプロトコルによって使用される信頼性ランキングシーケンスは、付録の中のいずれかのQシーケンスの部分シーケンスである。
2. シーケンスの中の要素の数がより少ない位置は交換される。例えば、シーケンス番号の位置は、5である等の指定されている大きさによって調整されてもよい。左の5つの位置及び右の5つの位置によって、シーケンス番号が10である要素の位置を調整してもよい。
3. シーケンスの中の複数の要素のうちのいくつかは調整されるが、Tビットの情報を伝送するのに使用されるとともに、シーケンスに基づいて選択されるチャンネルセットは、一貫性があるか又は類似性がある。
4. シーケンスは、0からN-1までのN個の要素を含み、それらの0からN-1までのN個の要素は、N個の偏波サブチャネルのシーケンス番号を表す。実際には、N個の偏波サブチャネルのシーケンス番号は、代替的に、1から開始し、Nで終了してもよい、すなわち、上記のシーケンスの中のシーケンス番号に1を加算する。このことは、また、上記の計算方式におけるシーケンス番号の形態である。もちろん、代替的に、他の方式によって、ポーラサブチャネルのシーケンス番号又は識別子を表してもよい。その具体的な表現方式は、そのシーケンスの中のポーラサブチャネルの具体的な位置には影響を与えない。
操作220: 第1のシーケンスに基づいて、K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、K個の符号化されるべきビットに対して極性符号化を実行して、符号化されているビットシーケンスを取得する。
特定の符号化操作については、上記の説明を参照するべきである。最初に、レートマッチングの具体的なスキームを決定してもよい。パンクチャリング又は短縮化を実行するときに、最初に、パンクチャリングされるか又は短縮化される(すなわち、削除される)偏波サブチャネル及び(Pは0以上である)可能なP個のあらかじめ凍結されている偏波サブチャネルを決定し、そして、信頼性に基づいて、残りのM-P個の偏波サブチャネルから、信頼性の高いK個の偏波サブチャネルを選択して、K個の情報ビットを収容する。反復を実行するときに、信頼性に基づいて、N個の偏波サブチャネルから、信頼性の高いK個の偏波サブチャネルを直接的に選択して、K個の情報ビットを収容する。デコーダは、また、同様の方式によって、K個の情報ビットの位置を決定してもよい。
操作230: 符号化されているビットシーケンスに対してレートマッチング操作を実行して、長さがMであるレートマッチングされているビットシーケンスを取得する。
特定のレートマッチング操作については、5G NRにおいては、最初に、ブロックインタリーブを実行し、その次に、順次的に、循環バッファの中のビットを取り出す方式を参照するべきである。代替的に、あらかじめ設定されているレートマッチングシーケンスを使用することによって、ある特定のレートマッチング操作を実行してもよい。このことは、本明細書においては限定されない。
操作240: レートマッチングされているシーケンスを出力する。
変調操作を使用する場合に、本明細書における出力は、レートマッチングされているビットシーケンスに対して変調を実行した後に得られるシーケンスであるべきであるということに留意するべきである。そのシーケンスは、シンボルシーケンスである。この場合には、シーケンスの長さは、Mでなくてもよい。変調を使用しない場合には、レートマッチングされているシーケンスは、レートマッチングされているビットシーケンスである。理解を容易にするために、"レートマッチングされているシーケンス"の語及び"レートマッチングされているビットシーケンス"の語は、この出願では厳格には区別されない。
図2に示されている実施形態は、送信端の操作であり、受信端の操作は、同様である。復号化されるべき情報シーケンスを受信した後に、受信機(又は、受信装置)は、また、同様の方法を使用する必要がある。具体的には、K個の復号化されるべきビットを含む復号化されるべき情報シーケンス、ターゲット符号長さM、及びマザー符号長さNを取得し、第1のシーケンスを決定し、第1のシーケンスに基づいて、K個の復号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、復号化されるべき情報シーケンスに対して復号化操作を実行して、復号化結果を取得し及び出力する。本明細書においては、詳細な復号化アルゴリズムは限定されない。
図3に示されているように、この出願のある1つの実施形態は、さらに、ポーラ符号の符号化装置300を提供する。図3に示されているポーラ符号の符号化方法の一部又はすべては、ハードウェアによって実装されてもよく、又は、ソフトウェアによって実装されてもよい。
ポーラ符号の符号化装置300については、図2に示されているポーラ符号の符号化方法と同じ発明概念に基づいて、ポーラ符号の符号化装置300は、図2に示されているポーラ符号の符号化方法を実行するように構成される。ハードウェアによってポーラ符号の符号化方法の一部又はすべてを実装するときに、ポーラ符号の符号化装置300は、符号化されるべきビットを取得するように構成される入力インターフェイス回路301、図2に示されているポーラ符号の符号化方法を実行するように構成される論理回路302であって、詳細については、上記の方法の実施形態を参照するべきであり、本明細書においては、詳細は繰り返しては説明されない、論理回路302、及び、レートマッチングされているシーケンスを出力するように構成される出力インターフェイス回路303を含む。さらに、レートマッチングされているシーケンスは、依然として変調されているシーケンスである。そのシーケンスは、変調されているシンボルシーケンスであり、トランシーバー320に出力される。トランシーバー320は、変調されているシーケンスに対して(これらには限定されないが、ディジタルアナログ変換及び/又は周波数変換等の処理を含む)対応する処理を実行し、アンテナ330によって、処理され変調されているシーケンスを送信する。選択的に、特定の実装において、ポーラ符号の符号化装置300は、チップ又は集積回路であってもよい。
選択的に、図4に示されているように、ソフトウェアによって上記の実施形態におけるポーラ符号の符号化方法の一部又はすべてを実装するときに、ポーラ符号の符号化装置400は、プログラムを格納するように構成されるメモリ401、及び、メモリ401の中に格納されているプログラムを実行するように構成されるプロセッサ402を含む。プログラムを実行するときに、ポーラ符号の符号化装置400は、上記の実施形態によって提供されるポーラ符号の符号化方法を実装してもよい。
選択的に、メモリ401は、物理的に独立しているユニットであってもよい。代替的に、図5に示されているように、メモリ501及びプロセッサ502は、ともに一体化されてもよい。
選択的に、ソフトウェアによって上記の実施形態における符号化方法の一部又はすべてを実装するときに、ポーラ符号の符号化装置400は、代替的に、プロセッサ402のみを含んでもよい。プログラムを格納するように構成されるメモリ401は、ポーラ符号の符号化装置400の外側に位置する。プロセッサ402は、回路/ケーブルによってメモリ401に接続され、メモリ401の中に格納されているプログラムを読み出しそして実行するように構成される。
図2に示されているポーラ符号の符号化方法に基づいて、図6に示されているように、この出願のある1つの実施形態は、さらに、ポーラ符号の符号化装置600を提供する。ポーラ符号の符号化装置600は、図2に示されているポーラ符号の符号化方法を実行するように構成される。ポーラ符号の符号化装置600は、
K個の符号化されるべきビットを取得するように構成される取得ユニット601、
マザー符号長さN及び第1のシーケンス(長さがNである信頼性ランキングシーケンス)を決定し、そして、マザー符号長さNに基づいて、K個の符号化されるべきビットに対してポーラ符号の符号化を実行して、符号化されているビットシーケンスを取得するように構成される符号化ユニット602であって、具体的な符号化処理については、上記の実施形態における操作220を参照するべきである、符号化ユニット602、及び、
符号化されているビットシーケンスに対してレートマッチング操作を実行して、長さがMであるレートマッチングされているビットシーケンス(又は、ビットシーケンスに対するさらなる変調によって得られ、また、レートマッチングされているシーケンスと称されるシーケンス)を取得するように構成されるレートマッチングユニット603であって、具体的なレートマッチング方法については、上記の実施形態における操作230を参照するべきである、レートマッチングユニット603、を含む。
送信端に対応して、受信端における装置は、また、同様に設計されてもよい。
図7に示されているように、ポーラ符号の復号化装置700は、復号化されるべき情報シーケンスを取得するように構成される入力インターフェイス回路701、上記のポーラ符号の復号化方法を実行して、復号化されている情報ビットを取得するように構成される論理回路702、及び、復号化されている情報を出力するように構成される出力インターフェイス回路703、を含む。ポーラ符号の復号化装置700は、アンテナ730によって、復号化されるべき情報シーケンスを取得するトランシーバ720をさらに含んでもよい。特定の実装においては、ポーラ符号の復号化装置700は、チップ又は集積回路であってもよい。
選択的に、ソフトウェアによって上記の実施形態におけるポーラ符号の復号化方法の一部又はすべてを実装するときに、図8に示されているように、ポーラ符号の復号化装置800は、プログラムを格納するように構成されるメモリ801、及び、メモリ801の中に格納されているプログラムを実行するように構成されるプロセッサ802を含む。プログラムが実行されるときに、ポーラ符号の復号化装置800は、上記の実施形態によって提供されるポーラ符号の復号化方法を実装してもよい。
選択的に、メモリ801は、物理的に独立しているユニットであってもよい。代替的に、図9に示されているように、メモリ901及びプロセッサ902は、ともに一体化されてもよい。
選択的に、ソフトウェアによって上記の実施形態における復号化方法の一部又はすべてを実装するときに、ポーラ符号の復号化装置800は、代替的に、プロセッサ802のみを含んでもよい。プログラムを格納するように構成されるメモリ801は、ポーラ符号の復号化装置800の外側に位置する。プロセッサ802は、回路/ケーブルによってメモリ801に接続され、メモリ801の中に格納されているプログラムを読み出しそして実行するように構成される。
プロセッサ402及び/又はプロセッサ802は、中央処理ユニット(central processing unit, CPU)、ネットワークプロセッサ(network processor, NP)、又は、CPU及びNPの組み合わせであってもよい。
プロセッサ402及び/又はプロセッサ802は、ハードウェアチップをさらに含んでもよい。ハードウェアチップは、特定用途向け集積回路(application-specific integrated circuit, ASIC)、プログラム可能な論理デバイス(programmable logic device, PLD)、又はそれらの組み合わせであってもよい。PLDは、複合的プログラム可能な論理デバイス(field-programmable gate array, FPGA)、フィールドプログラマブルゲートアレイ(field-programmable gate array, FPGA)、汎用アレイ論理(generic array logic, GAL)、又はそれらのいずれかの組み合わせであってもよい。
上記の複数の実施形態におけるメモリは、例えば、ランダムアクセスメモリ(random-access memory, RAM)等の揮発性メモリ(volatile memory)を含んでもよい。代替的に、メモリは、フラッシュメモリ(flash memory)、ハードディスクドライブ(hard disk drive, HDD)、又はソリッドステートドライブ(solid-state drive, SSD)等の不揮発性メモリ(non-volatile memory)を含んでもよい。代替的に、メモリは、上記のタイプのメモリの組み合わせを含んでもよい。
上記のポーラ符号の復号化方法に基づいて、図10に示されているように、この出願のある1つの実施形態は、さらに、ポーラ符号の復号化装置1000を提供する。ポーラ符号の復号化装置1000は、上記のポーラ符号の復号化方法を実行するように構成される。ポーラ符号の復号化装置1000は、
復号化されるべき情報シーケンスを取得するように構成される取得ユニット1001、及び、
マザー符号長さNの第1のシーケンス(長さがNである信頼性ランキングシーケンス)を決定し、そして、復号化されるべき情報シーケンスに対して復号化操作を実行して、復号化結果を取得し及び出力する、ように構成される処理ユニット1002、を含む。
この出願のある1つの実施形態は、さらに、コンピュータプログラム命令を格納するコンピュータ記憶媒体を提供する。コンピュータプログラム命令がコンピュータによって実行されるときに、上記のポーラ符号の符号化方法又はポーラ符号の復号化方法が実行される。
この出願のある1つの実施形態は、さらに、命令を含むコンピュータプログラム製品を提供する。コンピュータプログラム製品がコンピュータによって実行されるときに、上記のポーラ符号の符号化方法又はポーラ符号の復号化方法が実行される。
当業者は、方法、システム、又はコンピュータプログラム製品として、この出願の複数の実施形態を提供してもよいということを理解するはずである。したがって、この出願は、ハードウェアのみの実施形態、ソフトウェアのみの実施形態、又は、ソフトウェア及びハードウェアの組み合わせによる実施形態の形式を使用してもよい。加えて、この出願は、コンピュータプログラム製品の形式を使用してもよく、そのコンピュータプログラム製品は、コンピュータにより使用可能なプログラムコードを含む(これらには限定されないが、ディスクメモリ、CD-ROM、及び光メモリ等を含む)1つ又は複数のコンピュータにより使用可能な記憶媒体によって実装される。
この出願は、この出願のそれらの複数の実施形態にしたがった方法、デバイス(システム)、及びコンピュータプログラム製品のフローチャート及び/又はブロック図を参照して説明されている。コンピュータプログラム命令は、フローチャート及び/又はブロック図の中の各々のプロセス及び/又は各々のブロックを実装し、及び、フローチャート及び/又はブロック図の中のプロセス及び/又はブロックの組み合わせを実装するのに使用されてもよいということを理解するべきである。汎用コンピュータ、専用コンピュータ、組み込み型のプロセッサ、又は他のプログラム可能なデータ処理デバイスのプロセッサにコンピュータプログラム命令を提供して、機械を生成し、それによって、コンピュータ又は他のプログラム可能なデータ処理デバイスのプロセッサが実行する命令は、ある装置を生成し、その装置は、フローチャートの中の1つ又は複数のプロセス及び/又はブロック図の中の1つ又は複数のブロックにおける特定の機能を実装する。
コンピュータプログラム命令は、コンピュータ読み取り可能なメモリの中に格納されて、ある特定の方式によって動作するようにコンピュータ又は他のプログラム可能なデータ処理デバイスに指示してもよく、それによって、コンピュータ読み取り可能なメモリの中に格納されている命令は、命令装置を含む人為的な結果物を生成する。その命令装置は、フローチャートの中の1つ又は複数のプロセス及び/又はブロック図の中の1つ又は複数のブロックにおけるある特定の機能を実装する。
コンピュータプログラム命令は、代替的に、コンピュータ又は他のプログラム可能なデータ処理デバイスにロードされてもよく、それによって、コンピュータ又は他のプログラム可能なデバイスによって一連の操作及びステップを実行する。このように、コンピュータにより実装される処理が生成される。したがって、コンピュータ又は他のプログラム可能なデバイスによって実行される命令は、フローチャートの中の1つ又は複数のプロセス及び/又はブロック図の中の1つ又は複数のブロックにおける特定の機能を実装するためのステップを提供する。
この出願の複数の例示的な実施形態のうちのいくつかを説明してきたが、当業者が基本的な発明の概念を知れば、その当業者は、それらの複数の実施形態に変更及び修正を行うことが可能である。したがって、以下の特許請求の範囲は、この出願の範囲の中に属するそれらの複数の実施形態及びすべての変更及び修正にも及ぶものと解釈される。
明らかに、当業者は、この出願の複数の実施形態の趣旨及び範囲から離れることなく、この出願の複数の実施形態にさまざまな修正及び変形を行うことが可能である。それらの修正及び変形が、以下の特許請求の範囲及びそれらの等価な技術が規定する保護の範囲に属することを条件として、この出願は、それらの修正及び変形にも及ぶことを意図している。
付録:
シーケンスグループ1: Q1_2048
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シーケンスグループ1: Z1_2048
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シーケンスグループ: Q1_4096
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シーケンスグループ1: Z1_4096
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シーケンスグループ1: Q1_8192
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1989,1962,3904,3660,2957,2767,1908,1530,1773,1969,1990,1779,1883,1964,3258,3718,3476,3299,6309,6250,6199,6472,5213,5764,4782,4836,4946,4471,4540,4566,4579,4511,5322,5712,5443,5512,4581,5001,5417,5890,4891,4569,5227,5300,5271,5329,5404,5768,5
214,5324,4730,4840,4948,5056,6680,6721,6692,6257,6298,6223,6413,6252,5418,5520,5728,5472,5445,5653,5275,5330,6722,6368,7180,7201,6310,6663,6696,6339,4961,4789,5425,5667,5420,5229,5304,5654,5657,5235,4893,5002,7233,7188,6414,6785,4811,4903,5287,5345,3968,3666,2525,2963,2686,2796,3490,3374,6667,6419,6724,6435,5446,5426,4570,4732,4790,4350,4813,4671,5009,4894,5892,5277,5776,5449,4907,4475,6203,6313,6704,6258,3721,3843,2992,2917,2539,2747,2802,2906,4793,4527,4703,4585,4962,4819,4582,5004,1854,1935,1895,1663,3432,3611,2526,3016,6421,6300,7424,7202,6231,6341,6260,6314,2431,2958,2863,3024,3183,3403,2918,2965,1912,1503,1019,1021,3286,3381,2775,2541,5230,5237,4814,4909,4572,4952,4935,4821,5332,5291,5896,5450,4794,5010,4848,4964,4915,4910,4535,5025,6205,6675,6669,6786,5346,5669,4586,4719,4767,4835,5012,4559,2921,2749,3260,3521,3289,3480,3681,3668,1970,1774,1993,1532,3623,3722,3301,3231,4939,4477,4593,5026,5658,5507,5428,5336,6425,6422,6670,6321,6437,6532,7192,7204,6235,6728,6913,6342,5536,5391,5399,5278,5457,5670,5792,5238,5452,5699,5660,5509,5293,5241,5673,5319,4917,4822,5904,5299,3492,3382,2979,2804,3613,3845,2908,2547,1885,1781,1994,1943,2779,2871,3682,3729,3405,3191,3672,3411,1899,1886,1782,1972,2001,1947,1996,1785,3290,3440,3724,3302,5348,5458,5432,5824,5057,4968,5510,5294,7175,7297,6316,6264,6345,6480,6206,6426,4588,4727,5674,5701,7234,7680,6287,6247,2970,2922,3463,3385,2966,2550,3522,3614,4825,4796,4539,4837,5513,5403,5242,5568,2981,2791,2808,2929,3406,3305,3627,3846,1901,1976,1519,1727,3247,3195,3730,3684,2542,2750,2969,2549,3413,3849,3292,3386,5473,5681,5323,5183,4941,5016,4478,4918,5460,5514,5647,5702,5676,5301,5415,5405,3496,3467,3745,3655,1959,2002,1907,1786,3427,3359,3255,3306,3197,3629,3732,3688,1527,1949,1902,1759,3414,3388,3313,3850,5352,5244,4947,4826,6322,6438,6237,6788,3635,3417,3524,3469,2924,2895,3040,2495,3475,3279,2781,2875,2017,1909,1963,2018,6346,6736,6467,6536,6441,6914,6251,6324,7179,7208,6295,6353,4594,4976,4838,4541,3746,3630,3857,3504,2982,2930,2985,3011,4567,4731,5325,5302,5763,5682,5406,5705,3429,3259,3308,3736,2795,2553,2903,2972,5028,4783,5419,5474,6428,6792,6238,6348,2782,2877,3013,2986,3696,3659,3852,3777,6442,6544,6752,6496,4999,4921,4596,4942,4841,4922,5331,5521,5305,5516,4828,4542,5058,5032,4571,4949,5464,5706,4963,4733,2004,1950,1788,1965,2932,2554,2797,2993,1991,1910,1855,1971,3198,3314,3014,2803,5003,4583,5765,5713,6469,6677,6299,6354,6449,6691,6444,6253,7236,7298,7187,7181,2907,2988,3637,3470,3418,3528,3430,3477,5655,5360,4791,4842,6328,6678,6681,6259,5326,5215,4924,4849,5447,5684,4950,4953,6311,6369,6470,6450,6916,6301,6800,6473,1022,1023,1531,1913,3375,3641,3316,3667,2878,2959,2919,2687,2936,2527,3261,3638,5920,5522,5476,5427,5421,5537,4600,4895,7216,7182,6254,6261,6356,6315,6920,6474,2994,2798,3017,2556,2909,2805,3018,2967,2008,1775,1966,2020,2923,2910,2806,2996,3748,3433,3778,3661,3287,3858,3719,3420,4351,5060,5333,5688,6370,6693,7240,7425,1995,1914,1533,1973,3491,3478,3536,3752,1997,2024,1916,1974,3873,3434,3662,3481,3642,3860,3669,3644,3291,3383,3025,2971,5952,5708,5005,4815,5306,5766,5524,5347,3780,3670,3673,3723,3493,3864,3874,3683,6016,5714,4573,5011,4734,4844,5538,5422,3674,3482,3303,3760,1887,1783,2032,1534,3020,2809,3725,3320,3441,3262,3436,3726,5769,5891,5040,4965,4587,4795,4850,4954,5480,5659,4574,5064,4479,5006,4911,5072,6682,6531,6452,6360,7189,7300,6560,6415,6423,6302,6481,6694,6816,6262,6476,6723,5231,5451,4966,5013,5334,5429,4823,4589,4969,4797,5308,5569,5337,5528,5729,5716,3731,3407,3552,3387,3293,3442,2925,3000,6684,6533,6317,6265,6697,6343,6928,6323,2543,2751,2983,3026,2003,1977,1787,1998,2931,2810,2551,2973,2926,2783,3685,3494,6372,6482,6456,6848,7203,7426,6534,6318,5671,5770,5349,5279,5540,5430,5027,4852,6698,6725,6537,6427,5661,5893,4956,4595,4827,4919,5730,5777,5453,5239,5720,5459,6266,6592,6497,6705,5338,5488,5772,5350,3497,3523,3041,2933,3686,3615,3307,3484,5018,4970,5511,5433,5014,4598,5570,5662,3415,3444,3847,3389,1978,1903,2005,2006,5029,4839,4856,4977,6347,6207,6484,6538,3294,3498,3525,3309,3631,3905,3876,3784,3906,3733,3880,3851,2987,3042,3689,3676,5454,5353,5675,5894,5295,5243,5778,5732,6671,6726,6700,6325,7194,7681,7248,7205,4590,4798,5017,4597,5461,5897,5340,5434,7193,7190,6439,6429,6376,6268,6349,6326,1951,2019,1789,1980,3505,3792,3028,2974,3888,3908,3419,3969,1911,2009,2021,2010,5544,5515,5793,5703,6787,6706,6430,6729,5475,5407,5303,5354,5245,5677,5780,5736,5462,5436,5361,5898,5683,5465,5572,5517,7304,7428,6443,6498,6355,6545,7432,7206,4972,4943,5088,4543,5523,5327,4829,4923,5794,5678,5905,5552,5030,4978,5033,5059,5477,5307,5356,5784,7682,7264,6329,6540,6488,6730,7235,7209,7312,7196,6789,6737,4843,4601,4951,5020,4830,4925,5061,5034,5744,5707,5900,5825,7237,7210,6679,6384,6350,6239,6471,6708,4980,4602,4845,5041,5246,5362,5062,4851,4955,5036,5685,5518,3315,3734,3526,3390,3747,3690,2812,2989,3970,3853,3015,2934,1967,1915,2022,1790,5466,5576,5478,5525,5423,5689,5364,5715,3448,3500,2879,2995,3737,3808,3639,3912,7684,7217,6944,6546,6500,6451,6445,6561,6357,6712,6976,6732,4926,5007,4967,4735,2555,2937,3697,3310,3431,3529,3471,3859,3032,2799,3663,3750,3506,3749,3421,3317,4984,4575,5309,5686,5042,4846,5065,4604,4957,4853,5066,5015,6330,6790,6548,6371,3530,3738,3692,3435,1535,2012,2025,1975,3199,3263,3854,3479,3508,3698,3643,3537,2990,3044,3753,3318,3019,2938,3779,3422,3671,3740,3862,3532,3321,3754,2557,2997,7040,6738,7242,7440,7328,7688,7456,7696,6562,6446,6793,6915,7360,7712,6504,6683,3645,3483,3021,3048,2026,1917,1999,1918,2940,2998,3875,3861,3781,3437,3512,3700,4971,4958,4854,5044,5796,5481,5826,5709,3761,3446,3495,3538,2911,2807,3865,3322,3443,3553,3646,3485,3056,2558,3675,3438,6255,6475,6358,6453,5335,5906,5767,5468,5539,5526,5584,5800,5921,5482,5710,5529,5690,5908,5717,5692,5339,5431,5073,5019,5828,5718,5721,5771,6332,6593,7238,7212,5541,5912,5922,5731,7299,7249,6361,6552,3540,3727,3972,3877,3027,3001,3687,3756,3782,3501,3866,3324,2811,3022,3445,3677,3920,3762,3002,2927,2033,1979,2028,2034,5722,5530,5351,5808,6753,6740,6695,6794,3029,3030,3785,3704,3554,3878,3499,3976,3486,3295,3735,3764,1981,2007,1982,2011,2975,3043,3907,3691,3544,3527,3868,3881,3786,3793,2813,3004,3909,3788,3936,3882,2935,3033,3678,3984,3794,3768,3449,3507,3889,3391,3045,3034,3693,3884,3556,3502,6373,6303,6564,6454,5068,4857,5773,5368,6685,6917,6754,6801,6477,6263,6744,6483,5489,5310,5484,5774,6362,6512,6796,6374,6535,6457,7218,7241,5779,5455,5600,5435,5341,5490,4973,5048,4591,4799,5031,5074,4979,4858,4599,5021,6594,6686,7183,7488,6478,6377,6699,6918,4974,4831,5733,5542,6319,6267,7301,7220,5545,5571,5089,4981,6802,6756,6485,6921,6364,6458,6568,6539,6817,6727,7191,7302,6499,6431,6327,6378,5734,5663,5355,5532,5463,5492,5895,5437,3910,3739,3560,3311,3450,3531,3694,3699,6269,6701,6804,6760,7552,7244,6486,6460,6385,6922,7305,7250,6707,6489,6596,6541,5342,5546,5573,5357,6547,6351,7224,7195,6818,6702,6929,6576,6501,6331,7265,7207,7427,7252,6380,6808,5679,5953,5924,5832,5954,5781,5928,5899,6768,6731,6924,6849,2991,2939,3509,3452,3046,2814,3890,3533,6270,6386,6709,6542,5035,5090,5737,5724,5553,5840,5076,5022,5936,5956,5467,6017,5363,5782,5574,5438,7306,7313,6490,6600,7429,7197,6502,6549,5795,5738,4860,5037,6018,5901,5063,4982,5496,5548,4927,5043,5785,5856,5687,5960,4603,4985,5745,5358,3568,3741,3751,3796,2559,3036,3913,3701,2036,2023,2040,1791,3423,3539,3510,3809,3323,3534,3514,3513,3049,2999,3541,3319,3755,3914,3810,3971,3050,2941,3742,3855,2013,2027,2014,2029,3023,2942,3921,3892,3800,4000,3863,3439,3973,3702,3757,3916,6447,6713,6388,6739,5479,5577,5519,5907,5080,4847,5711,5798,5554,5797,5469,5365,3705,3783,3057,3003,3325,3763,3896,3974,6333,6710,6820,6505,7211,7266,6850,6733,5578,5786,5740,5483,5247,5311,5902,5527,5556,5746,5691,5585,5038,5092,5801,5366,6359,6930,7683,7256,5067,4986,5827,5470,5719,5788,5910,5580,5369,5802,4605,5045,5693,5531,5069,5096,4988,5046,5923,5909,7308,7198,6791,6492,6563,6550,6608,6824,6945,6506,6734,6553,6714,6932,6741,6716,6363,6455,7314,7239,7430,7433,6852,6742,6745,6795,7329,7744,7213,7268,6565,6936,3758,3812,3922,3447,3516,3542,3052,3058,6946,6755,6746,6554,7808,7219,6375,6832,5829,5485,5560,5748,7316,7214,6797,6392,3555,3487,3557,3977,3867,3545,3706,3816,6513,6334,6508,6798,6803,6479,7243,7434,5809,5494,5543,5586,6624,6459,6365,6514,4959,4855,5913,5370,7441,7685,7272,7330,5491,5601,5694,5533,5104,4606,5723,5486,6757,6566,6569,6595,6758,6687,6379,6556,3924,4032,3005,3031,3937,3765,3869,3978,6487,6516,7221,7361,6919,6461,6366,6570,3787,3879,3546,3708,3006,3035,3766,3326,5588,5775,6020,5925,5075,5049,5735,5804,3789,3647,3060,3047,3985,3870,3883,3451,6597,6381,6703,6977,7320,7245,7332,7936,7436,7442,6948,6856,6978,6805,6952,6923,1983,2035,2037,1919,3769,3503,3064,2815,6761,6748,6577,6864,5830,5549,5914,5372,4859,5070,5493,5725,5968,5810,5050,4975,5077,5078,5833,5752,6960,6980,6491,7041,3679,3561,3938,3795,3558,3980,3790,3885,7686,7222,7251,7225,6387,6806,7689,7280,5602,5926,5547,6024,6598,6462,6819,6762,5534,5343,5783,5812,5023,5091,5955,5739,5592,5575,5916,5929,7042,6925,6520,6572,6809,6880,6711,6984,5834,5841,4861,5052,5957,5836,5984,5930,4983,5081,5726,6032,6769,6382,7303,7246,5842,5816,5497,5555,5937,5439,5093,5082,7457,7362,7253,7444,7690,7226,6503,6601,5741,5932,5604,5550,3548,3928,3911,3797,3770,3986,3037,3051,6543,6931,6735,6822,5958,5787,5608,5359,3824,3940,3891,3886,3511,4001,3562,3695,6578,6821,7336,7307,5498,5579,5742,5747,7267,7254,6493,6389,6602,6810,6764,6507,6271,6335,6926,6551,5039,4987,5557,5500,5094,4862,5938,5581,6580,6770,7228,7448,2030,2038,2041,2042,3743,3811,3988,3535,7257,7458,7697,7692,5616,5789,5799,5844,3915,3453,3038,3053,3569,4002,3893,3798,4033,3944,3564,3703,3801,3772,3515,3813,6715,6609,7364,7309,6825,6390,6851,6494,7269,7315,7344,7310,4607,5084,5961,5749,5471,5587,5558,5857,6743,6812,6934,6604,7698,7489,7199,7368,5371,5582,5562,5561,5097,5047,5589,5367,5803,5962,5858,6019,3917,3992,3454,3894,3923,3802,3570,3952,6393,6826,7258,7713,5098,4989,5790,5903,5071,4990,5969,5940,5848,6048,5911,5487,6717,6555,6947,6933,6021,5750,5805,5964,3814,3517,3007,3059,2015,2044,2031,2039,6853,6509,6584,6772,5753,5831,5105,5051,5373,5811,5944,6022,6833,6518,6567,6610,6937,6394,6515,6625,7460,7490,7700,7431,3543,3707,4004,3759,3975,3897,3061,2943,7317,7270,7273,7472,6718,6557,67
47,6510,6612,6799,7044,6949,5806,5860,5970,5495,7464,7331,7260,7215,5564,5590,5100,5106,3572,3918,3817,3898,3804,3518,4034,4008,5603,5535,5605,6025,7435,7553,7714,7492,6759,6828,6854,6573,7376,7554,6938,6396,3547,3925,3939,3709,3979,3559,3767,3818,3900,3825,3926,3929,3576,3871,3327,4036,6517,6749,6992,6834,7318,7321,6857,6776,5915,5593,5754,5864,6626,6950,6571,7048,5972,6080,5053,5079,6558,6367,7333,7274,5985,5813,5917,6026,5835,5927,5594,5756,6807,6836,6979,6763,7223,7496,7704,7745,3981,3791,3549,3987,3054,3062,3710,3820,6616,6599,6940,6953,7716,7281,7322,7247,5054,5083,5814,5374,5837,5695,5108,5095,6858,6865,7437,7276,6981,6860,7008,6954,6750,7056,6866,6840,7746,7392,7334,7687,4016,3941,3563,3771,3826,3930,3550,4040,6521,6579,6961,6463,6765,6956,6628,6574,6982,6811,7720,7363,7438,7809,7691,7443,3065,3066,3455,3982,3887,4048,3942,3989,6632,6383,6522,6603,6766,6771,7748,7459,7227,7337,6581,6524,6962,6605,6640,6813,6033,5918,5931,5499,5817,5551,5112,4863,6823,6868,6985,6773,5727,5609,5986,5843,3799,3565,3945,3773,4003,3828,3932,3571,7728,7282,7445,7324,7255,7365,6495,6611,5606,6028,5838,5933,5596,5976,5959,5845,6582,6881,6395,6606,6586,6585,7284,7338,5818,6034,5085,5099,5872,5988,5939,5934,5559,6049,5610,5743,5791,5859,6036,5583,7229,7699,7693,7810,7449,7446,7694,7345,3803,3895,3994,3946,3990,3574,4005,3815,5963,5501,5086,5101,5617,6050,5941,5846,3832,3953,3566,3774,3993,3573,3948,3919,6613,6391,6827,6986,6081,5992,5612,5751,5849,5820,5563,5861,7461,7556,6882,7043,6814,6927,6993,6964,6872,7072,6935,6511,2043,2045,2046,2047,3039,3068,4064,3519,7045,6774,7259,7752,6829,6988,7937,7366,5965,6040,5502,5942,5971,5850,5618,6000,5862,5565,5055,5107,6777,6855,7340,7288,5591,5755,6052,5807,6023,5945,5109,4991,5620,5966,5865,5946,5852,5566,6082,6056,3805,3899,4006,3954,4009,4035,3819,3577,5595,5973,5987,5757,6027,5607,5815,5866,7369,7504,6397,6835,7230,7450,7311,7271,6968,7046,7346,7462,7261,7812,6830,6884,3927,3996,3806,3901,3055,3063,4037,4010,6994,6519,6588,6614,6627,6559,7370,7760,3956,3578,3821,4017,4038,3827,3931,4012,7491,7560,6629,7049,7465,7938,6939,6617,7275,7348,7319,7377,7452,7816,7262,7372,6778,6888,6996,7104,5948,5873,5974,5977,7466,7568,7776,7520,7493,7701,7323,7378,7009,6837,7473,7715,7468,7277,7352,7702,7705,7283,6941,7050,6859,6951,7335,7393,3902,3983,3943,3711,3960,3551,3067,3069,5624,5919,5375,6084,7494,7474,6618,6780,6838,6398,6861,6719,7057,6942,7940,7325,7824,7497,6955,6523,6841,6575,6751,6633,7010,6867,6630,7052,6029,5839,5597,6035,5102,5110,5758,5868,6064,5989,5611,5819,4018,3822,4041,3580,3933,3829,4042,3991,5874,5978,5598,6088,5113,5114,5503,6030,5935,6096,5990,6037,7278,7285,6862,6957,6620,7000,6983,6869,5847,5613,5993,5821,7380,7339,7944,7498,6842,7058,6896,7012,6963,6958,6583,7073,7394,7717,6634,6767,3947,3934,3830,4020,4049,3995,4044,3833,6815,6883,7060,6607,6987,6525,6641,7074,7706,7555,7476,7384,7584,7439,7447,7326,7505,7718,7840,7286,7500,7747,7708,7557,6051,5876,5980,5619,7341,7289,7721,7367,3949,4024,3567,3775,4007,4050,3955,3834,6965,6870,7952,7347,5851,5943,6042,5994,7396,7506,7480,7872,7105,7016,7558,7342,3575,3997,3950,3807,4065,3957,4011,4066,6636,6775,7722,7749,6873,6844,6587,6885,7561,7451,7290,7616,6038,5622,6053,5863,7521,7729,7371,7231,5880,6001,5614,5822,4052,3998,3836,4013,4039,3958,3903,4019,6989,7064,6526,6966,6041,5621,5996,5967,7508,7562,7695,7750,7724,7349,7463,7453,5087,5116,6112,5567,7400,7292,6995,6874,6642,7024,6886,6589,6615,6779,7373,7350,5853,5947,6054,6002,7811,7730,7454,7753,7076,6831,7467,7522,7047,6969,6644,6990,6889,6970,7379,7569,7353,7564,6876,6590,3070,3071,3579,3961,4056,3823,4014,4068,7106,7080,6619,6997,7512,7754,7011,6781,7051,6631,7813,7761,7703,7408,6839,6890,6057,6083,5867,5625,7374,7263,6972,6897,5975,6044,5854,5949,7495,7732,6998,7001,7968,7570,7524,7475,7469,7585,6648,6943,6399,7108,7381,7736,5103,5111,6085,6058,8000,7756,7053,6863,6004,5626,5869,6065,4043,3962,3581,4021,4045,4072,3964,4022,6086,5875,5979,6060,7354,7814,7572,7395,8064,7762,6621,7059,6782,6892,7586,7470,7817,7939,7088,7013,6635,6843,6898,7002,5950,6031,5991,5759,7528,7707,6622,7112,6527,7054,6959,7120,7279,7499,7014,7061,6008,5599,5115,5117,7382,7477,6871,6637,7017,6845,7356,7617,7385,7576,7777,7764,6066,5870,6089,5628,7719,7818,7397,7327,7588,7478,7075,6900,7709,7941,7004,6643,5981,5877,6090,6039,6875,6967,7778,7825,7501,7287,7768,7507,5995,5982,5878,6068,3935,3831,4080,3582,4051,4025,3835,4046,6097,6043,6092,5881,7386,7536,7820,7398,7066,7018,7559,7481,7062,6646,7618,7710,7077,6887,6904,7025,7502,7401,7723,7942,4026,3951,4053,4054,3999,4067,3837,4028,5997,6072,5615,5823,7343,7291,7826,7780,6638,6846,7065,6645,7509,7945,7388,7482,7592,7563,7841,7751,6055,6098,6003,5882,7523,7455,7351,7402,7293,7725,7828,7784,5623,6045,5998,5855,7510,7484,7409,7946,7731,7513,7620,7565,7020,6991,7136,6591,7571,7375,6877,6971,6113,6005,6059,6114,7842,7726,7953,7600,7078,7026,7081,7107,7525,7355,7404,7832,6891,6649,6999,7068,6878,6973,7109,7082,7792,7755,7948,7873,6100,6046,5884,6061,7028,6650,68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シーケンスグループ1: Z1_8192
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シーケンスグループ1: Q1_16384
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9514,9616,9824,9568,9541,9749,9371,9426,10818,10464,11276,11297,5952,5708,5005,4815,5306,5766,5524,5347,3780,3670,3673,3723,3493,3864,3874,3683,6016,5714,4573,5011,4734,4844,5538,5422,3674,3482,3303,3760,1887,1783,2032,1534,3020,2809,3725,3320,3441,3262,3436,3726,5769,5891,5040,4965,4587,4795,4850,4954,5480,5659,4574,5064,4479,5006,4911,5072,6682,6531,6452,6360,7189,7300,6560,6415,10406,10759,10792,10435,9057,8885,9521,9763,9516,9325,9400,9750,9753,9331,8989,9098,11329,11284,10510,10881,8907,8999,9383,9441,10763,10515,10820,10531,9542,9522,8666,8828,8886,8446,8909,8767,9105,8990,9988,9373,9872,9545,9003,8571,10299,10409,10800,10354,12456,12427,12387,12374,12348,12568,12377,12578,8889,8623,8799,8681,9058,8915,8678,9100,6423,6302,6481,6694,6816,6262,6476,6723,5231,5451,4966,5013,5334,5429,4823,4589,4969,4797,5308,5569,5337,5528,5729,5716,3731,3407,3552,3387,3293,3442,2925,3000,10517,10396,11520,11298,10327,10437,10356,10410,9326,9333,8910,9005,8668,9048,9031,8917,6684,6533,6317,6265,6697,6343,6928,6323,2543,2751,2983,3026,2003,1977,1787,1998,2931,2810,2551,2973,2926,2783,3685,3494,6372,6482,6456,6848,7203,7426,6534,6318,5671,5770,5349,5279,5540,5430,5027,4852,6698,6725,6537,6427,5661,5893,4956,4595,9428,9387,9992,9546,8890,9106,8944,9060,9011,9006,8631,9121,10301,10771,10765,10882,4827,4919,5730,5777,5453,5239,5720,5459,6266,6592,6497,6705,5338,5488,5772,5350,3497,3523,3041,2933,3686,3615,3307,3484,5018,4970,5511,5433,5014,4598,5570,5662,3415,3444,3847,3389,1978,1903,2005,2006,5029,4839,4856,4977,6347,6207,6484,6538,3294,3498,3525,3309,3631,3905,3876,3784,3906,3733,3880,3851,2987,3042,3689,3676,9442,9765,8682,8815,8863,8931,9108,8655,9035,8573,8689,9122,9754,9603,9524,9432,5454,5353,5675,5894,5295,5243,5778,5732,6671,6726,6700,6325,7194,7681,7248,7205,4590,4798,5017,4597,5461,5897,5340,5434,7193,7190,6439,6429,6376,6268,6349,6326,10521,10518,10766,10417,10533,10628,11288,11300,10331,10824,11009,10438,9632,9487,9495,9374,12817,12812,12484,12429,14344,14352,14368,14339,12389,12435,12464,12430,12818,12609,12319,12488,1951,2019,1789,1980,3505,3792,3028,2974,3888,3908,3419,3969,1911,2009,2021,2010,5544,5515,5793,5703,6787,6706,6430,6729,5475,5407,5303,5354,5245,5677,5780,5736,12378,12833,12580,12610,12820,12551,12437,12390,9553,9766,9888,9334,9548,9795,9756,9605,9389,9337,9769,9415,9013,8918,10000,9395,9444,9554,9528,9920,9153,9064,9606,9390,5462,5436,5361,5898,5683,5465,5572,5517,7304,7428,6443,6498,6355,6545,7432,7206,11271,11393,10412,10360,10441,10576,10302,10522,8684,8823,9770,9797,11330,11776,10383,10343,4972,4943,5088,4543,5523,5327,4829,4923,5794,5678,5905,5552,5030,4978,5033,5059,5477,5307,5356,5784,7682,7264,6329,6540,6488,6730,7235,7209,7312,7196,6789,6737,4843,4601,4951,5020,4830,4925,5061,5034,5744,5707,5900,5825,7237,7210,6679,6384,6350,6239,6471,6708,4980,4602,4845,5041,5246,5362,5062,4851,4955,5036,5685,5518,12393,12592,12584,12451,12380,12335,12555,12673,8921,8892,8635,8933,9609,9499,9338,9664,9569,9777,9419,9279,9037,9112,8574,9014,12834,12612,12496,12674,13330,13440,12438,12441,3315,3734,3526,3390,3747,3690,2812,2989,3970,3853,3015,2934,1967,1915,2022,1790,5466,5576,5478,5525,5423,5689,5364,5715,3448,3500,2879,2995,3737,3808,3639,3912,7684,7217,6944,6546,6500,6451,6445,6561,6357,6712,6976,6732,4926,5007,4967,4735,2555,2937,3697,3310,3431,3529,3471,3859,3032,2799,3663,3750,3506,3749,3421,3317,4984,4575,5309,5686,5042,4846,5065,4604,4957,4853,5066,5015,6330,6790,6548,6371,14341,14400,14345,14342,12453,12394,12343,12616,9556,9610,9743,9798,9772,9397,9511,9501,9448,9340,9043,8922,10418,10534,10333,10884,12824,12865,12836,12401,12442,12367,12557,12396,12866,12512,13324,13345,12454,12807,12840,12483,10442,10832,10563,10632,10537,11010,10347,10420,3530,3738,3692,3435,1535,2012,2025,1975,3199,3263,3854,3479,3508,3698,3643,3537,2990,3044,3753,3318,3019,2938,3779,3422,3671,3740,3862,3532,3321,3754,2557,2997,7040,6738,7242,7440,7328,7688,7456,7696,6562,6446,6793,6915,7360,7712,6504,6683,13377,13332,12558,12929,12811,12563,12868,12579,11275,11304,10391,10449,8690,9072,8934,8637,8663,8827,9421,9398,9859,9778,9502,9801,9124,8879,9515,9570,10524,10888,10334,10444,3645,3483,3021,3048,2026,1917,1999,1918,2940,2998,3875,3861,3781,3437,3512,3700,4971,4958,4854,5044,5796,5481,5826,5709,3761,3446,3495,3538,2911,2807,3865,3322,3443,3553,3646,3485,3056,2558,3675,3438,6255,6475,6358,6453,5335,5906,5767,5468,5539,5526,5584,5800,5921,5482,5710,5529,5690,5908,5717,5692,5339,5431,5073,5019,5828,5718,5721,5771,6332,6593,7238,7212,5541,5912,5922,5731,7299,7249,6361,6552,14353,14346,14354,14464,12347,12457,12848,12402,10538,10640,10848,10592,9095,9017,8692,9038,8937,9018,9427,9617,9401,9612,8924,8638,9154,9128,8667,9045,9560,9802,9059,8829,9099,8679,9861,9809,10565,10773,10395,10450,10545,10787,10540,10349,11332,11394,11283,11277,3540,3727,3972,3877,3027,3001,3687,3756,3782,3501,3866,3324,2811,3022,3445,3677,3920,3762,3002,2927,2033,1979,2028,2034,5722,5530,5351,5808,6753,6740,6695,6794,3029,3030,3785,3704,3554,3878,3499,3976,3486,3295,3735,3764,1981,2007,1982,2011,2975,3043,3907,3691,3544,3527,3868,3881,3786,3793,2813,3004,3909,3788,3936,3882,9751,9456,8887,8938,10424,10774,10777,10355,9422,9311,9020,8945,9543,9780,9046,9049,10407,10465,10566,10546,11012,10397,10896,10569,12565,12444,13568,13346,12375,12485,12404,12458,12349,12819,12813,12930,14348,14369,14401,14356,12569,12566,12814,12465,14592,14370,14360,14372,10016,9618,9572,9523,9517,9633,8696,8991,11312,11278,10350,10357,10452,10411,11016,10570,12581,12676,13336,13348,14343,14465,14402,14848,8447,9156,9429,9784,10466,10789,11336,11521,2935,3033,3678,3984,3794,3768,3449,3507,3889,3391,3045,3034,3693,3884,3556,3502,6373,6303,6564,6454,5068,4857,5773,5368,6685,6917,6754,6801,6477,6263,6744,6483,10048,9804,9101,8911,9402,9862,9620,9443,10112,9810,8669,9107,8830,8940,9634,9518,5489,5310,5484,5774,6362,6512,6796,6374,6535,6457,7218,7241,5779,5455,5600,5435,5341,5490,4973,5048,4591,4799,5031,5074,4979,4858,4599,5021,6594,6686,7183,7488,6478,6377,6699,6918,4974,4831,5733,5542,6319,6267,7301,7220,5545,5571,5089,4981,6802,6756,6485,6921,6364,6458,6568,6539,6817,6727,7191,7302,6499,6431,6327,6378,5734,5663,5355,5532,5463,5492,5895,5437,3910,3739,3560,3311,3450,3531,3694,3699,6269,6701,6804,6760,7552,7244,6486,6460,6385,6922,7305,7250,6707,6489,6596,6541,9865,9987,9136,9061,8683,8891,8946,9050,12379,12872,13057,12486,13319,13441,12460,12408,5342,5546,5573,5357,6547,6351,7224,7195,6818,6702,6929,6576,6501,6331,7265,7207,12489,12624,12350,12570,13378,13824,12431,12391,9576,9755,8670,9160,8575,9102,9007,9168,7427,7252,6380,6808,5679,5953,5924,5832,5954,5781,5928,5899,6768,6731,6924,6849,10778,10627,10548,10456,11285,11396,10656,10511,10519,10398,10577,10790,10912,10358,10572,10819,9327,9547,9062,9109,9430,9525,8919,8685,9065,8893,9404,9665,9433,9624,9825,9812,2991,2939,3509,3452,3046,2814,3890,3533,6270,6386,6709,6542,5035,5090,5737,5724,10780,10629,10413,10361,10793,10439,11024,10419,10468,10578,10552,10944,11299,11522,10630,10414,9767,9866,9445,9375,9636,9526,9123,8948,10794,10821,10633,10523,9757,9989,9052,8691,5553,5840,5076,5022,5936,5956,5467,6017,5363,5782,5574,5438,7306,7313,6490,6600,8923,9015,9826,9873,9549,9335,9816,9555,10362,10688,10593,10801,9434,9584,9868,9446,9114,9066,9607,9529,9110,8694,9666,9758,12466,12582,12381,12932,12490,12880,12611,12680,7429,7197,6502,6549,5795,5738,4860,5037,6018,5901,5063,4982,5496,5548,4927,5043,5785,5856,5687,5960,4603,4985,5745,5358,3568,3741,3751,3796,2559,3036,3913,3701,2036,2023,2040,1791,3423,3539,3510,3809,3323,3534,3514,3513,3049,2999,3541,3319,3755,3914,3810,3971,3050,2941,3742,3855,2013,2027,2014,2029,3023,2942,3921,3892,9125,8935,8952,9073,10443,10303,10580,10634,12585,13058,12395,12468,13323,13352,12439,12497,9550,9449,9771,9990,9391,9339,9874,9828,10767,10822,10796,10421,11290,11777,11344,11301,3800,4000,3863,3439,3973,3702,3757,3916,6447,6713,6388,6739,5479,5577,5519,5907,8686,8894,9113,8693,9557,9993,9436,9530,12572,12936,12382,12492,12586,12688,12896,12640,5080,4847,5711,5798,5554,5797,5469,5365,3705,3783,3057,3003,3325,3763,3896,3974,11289,11286,10535,10525,10472,10364,10445,10422,9640,9611,9889,9799,10883,10802,10526,10825,9571,9503,9399,9450,9341,9773,9876,9832,9558,9532,9457,9994,9779,9561,9668,9613,11400,11524,10539,10594,10451,10641,11528,11302,12613,12821,12443,12498,12593,12835,12588,12397,9068,9039,9184,8639,9619,9423,8925,9019,9890,9774,10001,9648,9126,9074,9129,9155,6333,6710,6820,6505,7211,7266,6850,6733,5578,5786,5740,5483,5247,5311,5902,5527,5556,5746,5691,5585,5038,5092,5801,5366,6359,6930,7683,7256,5067,4986,5827,5470,9573,9403,9452,9880,11778,11360,10425,10636,10584,10826,11331,11305,11408,11292,10885,10833,13380,13442,13331,13325,12472,12822,12825,12403,8939,8697,9047,9116,8926,9021,9157,9130,9840,9803,9996,9921,11333,11306,10775,10480,12455,12513,12614,12594,13060,12445,12944,12617,10446,10335,10567,10804,9076,8698,8941,9137,9342,9458,9158,8947,9051,9132,9781,9614,5719,5788,5910,5580,5369,5802,4605,5045,5693,5531,5069,5096,4988,5046,5923,5909,9562,9672,9574,9621,9519,9785,9460,9811,13360,13326,12398,12405,12500,12459,13064,12618,11780,11313,11040,10642,10596,10547,10541,10657,10453,10808,11072,10828,9022,9103,9063,8831,9080,8671,9405,9782,9138,8942,9161,8700,12514,12837,13384,13569,12826,12675,12596,12504,13333,13444,12704,12559,12567,12446,12625,12838,9053,8949,9162,9111,10426,10886,10644,10467,7308,7198,6791,6492,6563,6550,6608,6824,6945,6506,6734,6553,6714,6932,6741,6716,6363,6455,7314,7239,7430,7433,6852,6742,6745,6795,7329,7744,7213,7268,6565,6936,11136,10834,11338,11536,11424,11784,11552,11792,10658,10542,10889,11011,11456,11808,10600,10779,9067,9054,8950,9140,9892,9577,9922,9805,10351,10571,10454,10549,9431,10002,9863,9564,3758,3812,3922,3447,3516,3542,3052,3058,6946,6755,6746,6554,7808,7219,6375,6832,5829,5485,5560,5748,7316,7214,6797,6392,3555,3487,3557,3977,3867,3545,3706,3816,6513,6334,6508,6798,6803,6479,7243,7434,5809,5494,5543,5586,6624,6459,6365,6514,4959,4855,5913,5370,7441,7685,7272,7330,5491,5601,5694,5533,5104,4606,5723,5486,12960,12406,12620,12867,12828,12677,12461,12409,9635,9622,9680,9896,10017,9578,9806,9625,12841,12487,13072,12467,12516,12626,12600,12992,9786,10004,9813,9788,9435,9527,9169,9115,6757,6566,6569,6595,6758,
6687,6379,6556,3924,4032,3005,3031,3937,3765,3869,3978,6487,6516,7221,7361,6919,6461,6366,6570,3787,3879,3546,3708,3006,3035,3766,3326,5588,5775,6020,5925,5075,5049,5735,5804,3789,3647,3060,3047,3985,3870,3883,3451,6597,6381,6703,6977,7320,7245,7332,7936,7436,7442,6948,6856,6978,6805,6952,6923,1983,2035,2037,1919,3769,3503,3064,2815,6761,6748,6577,6864,5830,5549,5914,5372,9924,9814,9817,9867,10428,10689,11334,11308,9637,10008,10018,9827,11395,11345,10457,10648,4859,5070,5493,5725,5968,5810,5050,4975,5077,5078,5833,5752,6960,6980,6491,7041,3679,3561,3938,3795,3558,3980,3790,3885,7686,7222,7251,7225,6387,6806,7689,7280,5602,5926,5547,6024,6598,6462,6819,6762,5534,5343,5783,5812,5023,5091,5955,5739,9818,9626,9447,9904,10849,10836,10791,10890,10469,10399,10660,10550,9164,8953,9869,9464,13347,13570,12678,12462,12842,12869,12681,12571,10781,11013,10850,10897,10573,10359,10840,10579,5592,5575,5916,5929,7042,6925,6520,6572,6809,6880,6711,6984,5834,5841,4861,5052,5957,5836,5984,5930,4983,5081,5726,6032,6769,6382,7303,7246,5842,5816,5497,5555,5937,5439,5093,5082,7457,7362,7253,7444,7690,7226,6503,6601,5741,5932,5604,5550,3548,3928,3911,3797,3770,3986,3037,3051,6543,6931,6735,6822,5958,5787,5608,5359,9585,9406,9580,9870,10458,10608,10892,10470,14347,14376,14404,14466,12410,12736,12641,12849,3824,3940,3891,3886,3511,4001,3562,3695,6578,6821,7336,7307,5498,5579,5742,5747,7267,7254,6493,6389,6602,6810,6764,6507,6271,6335,6926,6551,5039,4987,5557,5500,5094,4862,5938,5581,6580,6770,7228,7448,2030,2038,2041,2042,3743,3811,3988,3535,7257,7458,7697,7692,5616,5789,5799,5844,3915,3453,3038,3053,3569,4002,3893,3798,4033,3944,3564,3703,3801,3772,3515,3813,6715,6609,7364,7309,6825,6390,6851,6494,12491,12351,12628,12682,12815,12870,12844,12469,10631,10553,11314,11337,9875,9551,9696,9531,9437,9586,9069,9144,8687,8895,9127,9170,9075,8954,8695,9117,10690,10782,11279,11584,10574,10473,10795,11014,9070,8927,9829,9638,10415,10363,11397,11316,9641,9667,9185,9077,10898,10852,10581,11017,10460,10554,10664,10635,10913,10823,11287,11398,10595,10527,10423,10474,9830,9759,9451,9628,9559,9588,9991,9533,13338,13825,13392,13349,13337,13334,12583,12573,12520,12412,12493,12470,12931,12850,12574,12873,10365,10797,10900,10856,11648,11340,10582,10556,10481,11018,11401,11346,10803,10585,10692,10637,13448,13572,12587,12642,14355,14349,14384,14350,12499,12689,13576,13350,13826,13408,12473,12684,9438,9642,9669,9453,10643,10447,11320,11291,10914,10798,11025,10672,10597,10427,11361,11303,11523,11348,10476,10904,9775,10049,10020,9928,14408,14593,14357,14468,12632,12874,13379,13353,10050,9877,10024,9995,10864,10827,11020,10945,7269,7315,7344,7310,4607,5084,5961,5749,5471,5587,5558,5857,6743,6812,6934,6604,13456,13340,12933,12881,13381,13354,12823,12528,10366,10482,10805,10638,9131,9186,9833,9820,9649,9936,9172,9118,10032,10052,9563,10113,9459,9878,9670,9534,11402,11409,10586,10696,11525,11293,10598,10645,9891,9834,8956,9133,12494,12383,12615,12852,13828,13361,13088,12690,7698,7489,7199,7368,5371,5582,5562,5561,5097,5047,5589,5367,5803,5962,5858,6019,10114,9997,9159,9078,9592,9644,9023,9139,9881,9952,9783,10056,8699,9081,9841,9454,3917,3992,3454,3894,3923,3802,3570,3952,6393,6826,7258,7713,5098,4989,5790,5903,12644,12595,12589,12705,14371,14594,14362,14849,12501,12856,13120,12876,12474,12934,12692,12515,5071,4990,5969,5940,5848,6048,5911,5487,6717,6555,6947,6933,6021,5750,5805,5964,3814,3517,3007,3059,2015,2044,2031,2039,6853,6509,6584,6772,5753,5831,5105,5051,10543,10809,10484,10835,9575,9673,9615,10003,9176,8943,9807,9894,9650,9893,9565,9461,10429,10806,10916,10601,11307,11362,10946,10829,9674,9882,9836,9579,9343,9407,9998,9623,9652,9842,9787,9681,9134,9188,9897,9462,13184,12882,13386,13584,13472,13832,13600,13840,10455,11026,11779,11352,9163,9082,9923,9566,9815,9884,10006,9676,9465,9898,8701,9141,5373,5811,5944,6022,6833,6518,6567,6610,6937,6394,6515,6625,7460,7490,7700,7431,3543,3707,4004,3759,3975,3897,3061,2943,7317,7270,7273,7472,6718,6557,6747,6510,9789,9627,9165,9192,9084,9142,10019,10005,11404,11294,10887,10588,10659,10646,10704,10920,12706,12590,12937,13059,13504,13856,12648,12827,12399,12619,12502,12597,14416,14373,14361,14358,12476,12737,13382,13356,13443,13393,12505,12696,11041,10602,10830,10649,10810,11028,10837,10812,10459,10551,11410,11335,11526,11529,10948,10838,10841,10891,11425,11840,11309,11364,10661,11032,11042,10851,10842,10650,11904,11315,10471,10928,9925,9581,9656,9844,11412,11310,10893,10488,6612,6799,7044,6949,5806,5860,5970,5495,7464,7331,7260,7215,5564,5590,5100,5106,3572,3918,3817,3898,3804,3518,4034,4008,5603,5535,5605,6025,7435,7553,7714,7492,6759,6828,6854,6573,7376,7554,6938,6396,3547,3925,3939,3709,3979,3559,3767,3818,3900,3825,3926,3929,3576,3871,3327,4036,6517,6749,6992,6834,7318,7321,6857,6776,10609,10430,10604,10894,10899,10575,11339,11530,9905,9590,9639,9682,10720,10555,10461,10610,14472,14596,14600,14374,12897,12884,12839,12938,12517,12447,12708,12598,12829,13061,12898,12945,9055,8951,10009,9466,11537,11781,11368,11426,1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シーケンスグループ1: Z1_16384
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シーケンスグループ2: Q2_2048
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シーケンスグループ2: Z2_2048
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シーケンスグループ2: Q2_4096
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シーケンスグループ2: Z2_4096
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シーケンスグループ2: Q2_8192
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2902,2905,3717,3665,3607,3312,3278,3167,2552,2847,1883,1964,1854,1935,2303,3012,3399,3636,3872,3474,3428,3379,2957,2767,2525,2963,5227,5300,4961,4789,5271,5329,4893,5002,6352,6530,6294,6297,6309,6250,6199,6472,5404,5768,4811,4903,5214,5324,4
570,4732,1895,1663,1912,1503,1970,1774,1993,1532,5418,5520,5728,5472,4790,4350,4813,4671,3373,3489,2686,2796,2992,2917,3285,3640,2539,2747,3904,3660,2802,2906,3258,3718,6680,6721,6692,6257,5009,4894,5445,5653,3476,3299,2526,3016,3968,3666,3490,3374,6298,6223,7185,7178,5275,5330,5425,5667,5420,5229,4907,4475,5304,5654,4793,4527,1885,1781,1994,1943,3721,3843,2431,2958,3432,3611,3183,3403,2863,3024,2918,2965,4703,4585,5657,5235,4962,4819,4582,5004,6413,6252,6722,6368,4814,4909,4572,4952,5287,5345,5446,5426,6310,6663,6696,6339,1899,1886,1782,1972,2775,2541,3286,3381,6414,6785,6667,6419,4935,4821,5892,5277,2921,2749,3260,3521,2001,1947,1996,1785,5776,5449,4794,5010,6724,6435,7186,7296,3289,3480,2979,2804,1901,1976,1519,1727,4848,4964,5230,5237,4915,4910,5332,5291,5896,5450,5346,5669,6203,6313,6704,6258,3681,3668,3623,3722,2908,2547,3301,3231,5658,5507,5428,5336,4535,5025,4586,4719,3492,3382,3613,3845,1959,2002,1007,1015,2779,2871,2970,2922,3682,3729,2966,2550,3405,3191,3672,3411,2981,2791,3290,3440,6421,6300,6231,6341,4767,4835,5012,4559,2808,2929,3724,3302,3463,3385,3522,3614,4939,4477,5536,5391,5399,5278,5457,5670,6260,6314,6205,6675,6669,6786,7180,7201,3406,3305,2542,2750,3627,3846,2969,2549,3247,3195,3730,3684,3413,3849,2924,2895,4593,5026,5792,5238,4917,4822,5057,4968,6425,6422,6670,6321,5452,5699,4588,4727,6437,6532,6235,6728,5660,5509,5293,5241,1907,1786,1527,1949,3040,2495,3292,3386,4825,4796,4539,4837,5673,5319,5904,5299,7233,7188,6913,6342,6316,6264,6345,6480,5348,5458,4941,5016,5432,5824,4478,4918,2781,2875,3496,3467,2982,2930,3745,3655,1902,1759,2017,1909,2985,3011,3427,3359,3255,3306,3197,3629,2795,2553,2903,2972,5510,5294,4947,4826,6206,6426,7424,7202,5674,5701,5513,5403,4594,4976,5242,5568,6287,6247,6322,6438,4838,4541,4567,4731,1963,2018,2004,1950,3732,3688,3414,3388,3313,3850,2782,2877,3635,3417,3524,3469,3013,2986,3475,3279,1788,1965,1991,1910,5028,4783,5473,5681,4999,4921,5323,5183,6237,6788,6346,6736,6467,6536,7192,7204,3746,3630,3857,3504,2932,2554,3429,3259,5460,5514,4596,4942,6441,6914,6251,6324,4841,4922,5647,5702,5676,5301,5415,5405,6295,6353,6428,6792,4828,4542,5352,5244,2797,2993,3308,3736,3696,3659,3014,2803,2907,2988,3852,3777,1855,1971,1531,1913,5325,5302,5763,5682,5058,5032,4571,4949,4963,4733,5406,5705,5419,5474,5331,5521,5003,4583,4791,4842,7175,7297,6238,6348,3198,3314,3637,3470,2008,1775,1966,2020,3418,3528,2878,2959,2919,2687,3430,3477,6442,6544,6752,6496,4924,4849,5305,5516,3375,3641,3316,3667,2936,2527,3261,3638,3748,3433,3778,3661,2994,2798,3287,3858,5464,5706,4950,4953,6469,6677,6299,6354,1995,1914,1533,1973,3719,3420,3491,3478,5765,5713,5655,5360,5326,5215,4600,4895,3536,3752,3017,2556,2909,2805,3873,3434,6449,6691,6444,6253,4351,5060,5447,5684,5920,5522,5476,5427,7234,7680,6328,6678,3018,2967,3662,3481,2923,2910,3642,3860,5005,4815,4573,5011,5421,5537,4734,4844,5040,4965,5333,5688,4587,4795,5952,5708,6681,6259,6311,6369,6470,6450,7179,7208,3669,3644,2806,2996,3291,3383,3780,3670,4850,4954,5306,5766,5524,5347,4574,5064,6016,5714,5538,5422,5769,5891,4479,5006,1997,2024,1916,1974,3673,3723,3493,3864,3025,2971,3874,3683,3020,2809,3674,3482,3303,3760,2925,3000,1887,1783,2032,1534,6916,6301,6800,6473,6254,6261,6356,6315,3725,3320,2543,2751,3441,3262,3436,3726,7236,7298,6920,6474,6370,6693,6682,6531,5480,5659,5231,5451,4911,5072,4966,5013,2983,3026,3731,3407,3552,3387,3293,3442,6452,6360,7187,7181,6560,6415,6423,6302,4823,4589,5334,5429,4969,4797,5308,5569,3685,3494,3497,3523,3686,3615,3307,3484,5337,5528,5027,4852,5729,5716,5671,5770,7216,7182,6481,6694,4956,4595,5349,5279,6816,6262,6476,6723,5540,5430,5661,5893,2003,1977,1019,1021,2931,2810,3415,3444,2551,2973,3847,3389,3294,3498,2926,2783,6684,6533,6317,6265,4827,4919,5018,4970,3525,3309,3041,2933,3631,3905,3876,3784,5730,5777,5014,4598,5453,5239,5720,5459,6697,6343,6928,6323,5029,4839,5338,5488,2987,3042,3906,3733,1787,1998,1978,1903,6372,6482,6456,6848,4856,4977,5772,5350,3880,3851,3689,3676,2005,2006,1951,2019,7240,7425,6534,6318,5511,5433,5570,5662,5454,5353,4590,4798,6698,6725,7189,7300,5675,5894,5017,4597,6537,6427,6266,6592,5295,5243,5778,5732,5461,5897,4972,4943,3505,3792,3888,3908,3028,2974,2812,2989,6497,6705,7203,7426,6347,6207,6484,6538,3419,3969,3315,3734,1789,1980,1911,2009,5088,4543,5340,5434,4829,4923,5544,5515,5030,4978,5793,5703,5033,5059,5475,5407,6671,6726,6700,6325,5303,5354,5245,5677,3526,3390,3015,2934,3747,3690,2879,2995,3970,3853,3448,3500,3737,3808,2555,2937,4843,4601,4951,5020,5780,5736,5462,5436,2021,2010,1967,1915,3639,3912,3697,3310,6439,6429,6376,6268,5361,5898,4830,4925,3032,2799,3431,3529,2990,3044,3471,3859,6349,6326,6787,6706,5683,5465,5572,5517,3663,3750,3506,3749,2022,1790,1535,2012,6430,6729,7194,7681,6443,6498,7248,7205,5061,5034,5523,5327,5794,5678,5905,5552,4980,4602,5477,5307,6355,6545,6329,6540,3421,3317,3530,3738,3692,3435,3019,2938,3199,3263,3854,3479,3508,3698,2557,2997,7193,7190,6488,6730,6789,6737,6679,6384,4845,5041,5356,5784,5744,5707,5062,4851,6350,6239,6471,6708,6944,6546,7304,7428,3021,3048,3643,3537,3753,3318,3779,3422,4955,5036,5900,5825,5246,5362,5685,5518,5466,5576,4926,5007,4967,4735,5478,5525,2940,2998,3671,3740,3862,3532,3321,3754,5423,5689,5364,5715,6500,6451,6445,6561,7432,7206,6357,6712,4984,4575,5309,5686,6976,6732,6330,6790,5796,5481,5826,5709,2025,1975,1022,1023,2911,2807,3056,2558,5042,4846,5335,5906,5767,5468,5539,5526,3645,3483,3875,3861,3781,3437,3512,3700,6548,6371,7040,6738,5584,5800,5065,4604,6562,6446,7682,7264,6793,6915,6504,6683,3761,3446,3495,3538,3027,3001,3865,3322,3443,3553,3646,3485,2026,1917,1999,1918,4957,4853,5921,5482,5066,5015,5710,5529,7235,7209,7312,7196,6255,6475,6358,6453,4971,4958,5690,5908,6332,6593,6361,6552,5717,5692,4854,5044,6753,6740,6695,6794,2811,3022,3675,3438,3540,3727,3002,2927,3972,3877,3029,3030,3687,3756,3782,3501,5339,5431,5828,5718,5721,5771,5541,5912,7237,7210,6373,6303,5073,5019,5922,5731,5068,4857,5722,5530,6564,6454,7684,7217,3866,3324,2975,3043,3445,3677,3920,3762,6685,6917,7242,7440,6754,6801,6477,6263,6744,6483,6362,6512,5351,5808,4973,5048,6796,6374,6535,6457,5773,5368,4591,4799,2033,1979,2028,2034,3785,3704,3554,3878,5489,5310,5484,5774,5031,5074,5779,5455,5600,5435,5341,5490,5733,5542,5545,5571,6594,6686,7328,7688,6478,6377,6699,6918,6319,6267,6802,6756,7456,7696,6485,6921,3499,3976,3486,3295,3735,3764,3907,3691,3544,3527,3868,3881,2813,3004,3786,3793,5734,5663,5355,5532,6364,6458,7360,7712,3909,3788,3936,3882,2935,3033,3678,3984,4979,4858,5463,5492,6568,6539,6817,6727,3794,3768,3449,3507,3045,3034,3889,3391,4599,5021,5895,5437,5342,5546,4974,4831,7238,7212,6499,6431,5573,5357,5089,4981,1981,2007,1982,2011,3693,3884,3556,3502,6327,6378,7299,7249,5679,5953,5924,5832,6269,6701,6804,6760,5035,5090,5954,5781,7218,7241,7183,7488,5928,5899,5737,5724,6486,6460,6385,6922,6707,6489,6596,6541,3910,3739,2991,2939,3560,3311,3450,3531,5553,5840,5936,5956,5076,5022,4860,5037,3694,3699,3509,3452,3890,3533,3046,2814,5467,6017,5363,5782,7301,7220,7191,7302,6547,6351,6818,6702,6929,6576,6501,6331,3568,3741,2559,3036,3751,3796,3913,3701,6380,6808,6768,6731,5574,5438,5063,4982,3423,3539,3510,3809,2036,2023,2040,1791,7552,7244,6924,6849,5795,5738,4927,5043,6018,5901,5496,5548,6270,6386,6709,6542,3323,3534,3514,3513,3049,2999,3541,3319,5785,5856,4603,4985,5687,5960,5745,5358,5080,4847,5479,5577,5038,5092,5519,5907,7305,7250,6490,6600,6502,6549,7224,7195,5711,5798,5554,5797,7265,7207,6447,6713,6388,6739,6333,6710,5469,5365,5578,5786,5740,5483,5067,4986,6820,6505,6850,6733,5247,5311,5902,5527,6359,6930,6791,6492,3755,3914,3810,3971,3742,3855,3921,3892,6563,6550,6608,6824,6945,6506,7427,7252,3800,4000,3863,3439,3050,2941,3973,3702,6734,6553,7306,7313,7429,7197,6714,6932,5556,5746,4605,5045,5069,5096,5691,5585,3757,3916,3705,3783,2013,2027,2014,2029,5801,5366,5827,5470,4988,5046,5719,5788,3325,3763,3023,2942,3896,3974,3758,3812,5910,5580,5369,5802,6741,6716,6363,6455,7211,7266,7683,7256,6852,6742,6745,6795,3922,3447,3516,3542,3555,3487,3557,3977,4959,4855,5104,4606,6565,6936,6946,6755,5693,5531,5923,5909,5829,5485,5560,5748,7308,7198,6746,6554,5809,5494,5543,5586,7314,7239,6375,6832,6797,6392,6513,6334,5075,5049,5913,5370,5491,5601,5694,5533,3057,3003,3867,3545,3706,3816,3924,4032,3937,3765,3869,3978,3787,3879,3052,3058,6508,6798,6803,6479,7430,7433,6624,6459,6365,6514,7329,7744,4859,5070,5723,5486,7213,7268,6757,6566,5588,5775,5050,4975,1983,2035,2037,1919,3546,3708,3005,3031,6569,6595,7808,7219,6020,5925,5077,5078,3766,3326,3789,3647,3985,3870,3006,3035,6758,6687,6379,6556,6487,6516,7316,7214,5735,5804,5830,5549,6919,6461,6366,6570,5914,5372,5023,5091,5493,5725,5968,5810,3883,3451,3769,3503,3679,3561,3938,3795,5833,5752,5602,5926,7243,7434,6597,6381,5547,6024,5534,5343,6703,6977,6948,6856,3060,3047,3558,3980,3790,3885,3548,3928,7441,7685,7272,7330,5783,5812,5955,5739,3911,3797,3064,2815,3770,3986,3824,3940,5592,5575,5916,5929,6978,6805,6952,6923,7221,7361,6761,6748,7320,7245,6577,6864,4861,5052,5834,5841,6960,6980,6491,7041,7332,7936,7436,7442,6387,6806,6598,6462,5957,5836,5984,5930,4983,5081,5726,6032,5842,5816,5497,5555,6819,6762,7686,7222,3891,3886,3511,4001,3562,3695,3743,3811,7042,6925,6520,6572,7251,7225,6809,6880,5093,5082,5937,5439,5741,5932,5604,5550,5958,5787,5039,4987,6711,6984,6769,6382,3988,3535,3915,3453,3037,3051,3569,4002,3893,3798,4033,3944,3564,3703,3801,3772,7689,7280,7303,7246,5608,5359,5498,5579,6503,6601,7457,7362,6543,6931,6735,6822,7253,7444,6578,6821,5742,5747,5557,5500,3515,3813,3038,3053,3917,3992,3454,3894,5938,5581,5094,4862,6493,6389,6602,6810,6764,6507,6271,6335,6926,6551,7690,7226,5616,5789,4607,5084,5799,5844,5961,5749,3923,3802,3570,3952,3814,3517,3543,3707,3007,3059,4004,3759,3975,3897,3572,3918,7336,7307,6580,6770,5471,5587,5558,5857,5371,5582,5562,5561,6715,6609,7267,7254,5097,5047,5589,5367,6825,6390,6851,6494,5803,5962,5858,6019,7228,7448,6743,6812,6934,6604,7257,7458,5790,5903,5969,5940,6393,6826,6717,6555,6947,6933,6853,6509,3817,3898,3804,3518,4034,4008,3547,3925,7697,7692,7364,7309,5848,6048,5911,5487,6584,6772,6833,6518,6567,6610,6937,6394,5098,4989,6021,5750,5805,5964,5753,5831,3939,3709,3979,3559,3061,2943,3767,3818,5373,5811,5071,4990,7269,7315,7344,7310,5944,6022,5806,5860,7698,7489,7199,7368,3900,3825,3926,3929,3576,3871,33
27,4036,6515,6625,6718,6557,5970,5495,5564,5590,3981,3791,3549,3987,3710,3820,3054,3062,7258,7713,7460,7490,6747,6510,6612,6799,5603,5535,5605,6025,7044,6949,6759,6828,7700,7431,6854,6573,7317,7270,6938,6396,4016,3941,3563,3771,2030,2038,2041,2042,5105,5051,5915,5593,5754,5864,5972,6080,7273,7472,6517,6749,5985,5813,5917,6026,6992,6834,6857,6776,7464,7331,6626,6950,5835,5927,5100,5106,7260,7215,6571,7048,5594,5756,5053,5079,7435,7553,6558,6367,6807,6836,7714,7492,6979,6763,7376,7554,6616,6599,6940,6953,5814,5374,5837,5695,7318,7321,7333,7274,6033,5918,5054,5083,6858,6865,6981,6860,7008,6954,6750,7056,7223,7496,6866,6840,5931,5499,5817,5551,3826,3930,3550,4040,3455,3982,3887,4048,5727,5609,5986,5843,6521,6579,6961,6463,5108,5095,5606,6028,7704,7745,6765,6956,5838,5933,5596,5976,7716,7281,6628,6574,3942,3989,3065,3066,3799,3565,3945,3773,5959,5845,5112,4863,7322,7247,7437,7276,6982,6811,6632,6383,6522,6603,7746,7392,5818,6034,5872,5988,5939,5934,5559,6049,4003,3828,3932,3571,3803,3895,3994,3946,7334,7687,7720,7363,6766,6771,6581,6524,7438,7809,7691,7443,5610,5743,5791,5859,6962,6605,6640,6813,6823,6868,6985,6773,6036,5583,5963,5501,6495,6611,7748,7459,3990,3574,4005,3815,3039,3068,3832,3953,7227,7337,6582,6881,7728,7282,6395,6606,5085,5099,5617,6050,6586,6585,6613,6391,5941,5846,6081,5992,7445,7324,6827,6986,7255,7365,7284,7338,5612,5751,5849,5820,5563,5861,5086,5101,6882,7043,6814,6927,3566,3774,3993,3573,3948,3919,4064,3519,7229,7699,7693,7810,6993,6964,7449,7446,3805,3899,4006,3954,4009,4035,3819,3577,6872,7072,7694,7345,5965,6040,5502,5942,5971,5850,5618,6000,6935,6511,7045,6774,7461,7556,6829,6988,6777,6855,7259,7752,5862,5565,5591,5755,7937,7366,7340,7288,7369,7504,6397,6835,7230,7450,6968,7046,5055,5107,6052,5807,6830,6884,6994,6519,3927,3996,3806,3901,4037,4010,3956,3578,6588,6614,6627,6559,7311,7271,7346,7462,7261,7812,7370,7760,6023,5945,5620,5966,5865,5946,5852,5566,6629,7049,7491,7560,6082,6056,5595,5973,6939,6617,7465,7938,5987,5757,6027,5607,6778,6888,6996,7104,7275,7348,7009,6837,5109,4991,5815,5866,7319,7377,6941,7050,7452,7816,6859,6951,3821,4017,4038,3827,3931,4012,3902,3983,7262,7372,6618,6780,7466,7568,7776,7520,5948,5873,5974,5977,6838,6398,6861,6719,5624,5919,5375,6084,7057,6942,7493,7701,7323,7378,7473,7715,6029,5839,5597,6035,3943,3711,3960,3551,4018,3822,4041,3580,7468,7277,6955,6523,5758,5868,5102,5110,7352,7702,6841,6575,6751,6633,7705,7283,6064,5989,5611,5819,7010,6867,6630,7052,6862,6957,6620,7000,7335,7393,7494,7474,6983,6869,7940,7325,7824,7497,6842,7058,6896,7012,7278,7285,6963,6958,7380,7339,3933,3829,4042,3991,2015,2044,2031,2039,5874,5978,5598,6088,7944,7498,7394,7717,5503,6030,5935,6096,7706,7555,7476,7384,6583,7073,6634,6767,5990,6037,5113,5114,6815,6883,7060,6607,5847,5613,5993,5821,6987,6525,7584,7439,7447,7326,7505,7718,6051,5876,5980,5619,6641,7074,7840,7286,3947,3934,3830,4020,4049,3995,4044,3833,6965,6870,7105,7016,7500,7747,6636,6775,3949,4024,3567,3775,4007,4050,3055,3063,7708,7557,7341,7289,6873,6844,6587,6885,5851,5943,6042,5994,6038,5622,6053,5863,7721,7367,7952,7347,7396,7506,6989,7064,3955,3834,3575,3997,3950,3807,4065,3957,7480,7872,6526,6966,5087,5116,5880,6001,7558,7342,6995,6874,5614,5822,6041,5621,7722,7749,7561,7451,6642,7024,7290,7616,6886,6589,6615,6779,5996,5967,6112,5567,4011,4066,4052,3998,3836,4013,4039,3958,7076,6831,7521,7729,7047,6969,7371,7231,5853,5947,6054,6002,7508,7562,6644,6990,6057,6083,5867,5625,6889,6970,7695,7750,7724,7349,7463,7453,6876,6590,7400,7292,3903,4019,3579,3961,4056,3823,4014,4068,7373,7350,7811,7730,7106,7080,6619,6997,7011,6781,7454,7753,5975,6044,5854,5949,7467,7522,7379,7569,7051,6631,6839,6890,6972,6897,7353,7564,6085,6058,6004,5626,5869,6065,6086,5875,7512,7754,6998,7001,7813,7761,7703,7408,7374,7263,6648,6943,5979,6060,5950,6031,6399,7108,7495,7732,7968,7570,7524,7475,7053,6863,6621,7059,4043,3962,3581,4021,2043,2045,2046,2047,5991,5759,6008,5599,6066,5870,6089,5628,7469,7585,6782,6892,7088,7013,7381,7736,6635,6843,8000,7756,6898,7002,7354,7814,7572,7395,6622,7112,8064,7762,7586,7470,5981,5877,6090,6039,7817,7939,6527,7054,7528,7707,7279,7499,6959,7120,7014,7061,4045,4072,3964,4022,3935,3831,4080,3582,5995,5982,5878,6068,6871,6637,7382,7477,7017,6845,7356,7617,6097,6043,6092,5881,7385,7576,7075,6900,5997,6072,5615,5823,7777,7764,7719,7818,7004,6643,7397,7327,7588,7478,7709,7941,6055,6098,5103,5111,6875,6967,7066,7018,7778,7825,7062,6646,4051,4025,3067,3069,3835,4046,4026,3951,7501,7287,7768,7507,7077,6887,7386,7536,6904,7025,7820,7398,7559,7481,7618,7710,7502,7401,6638,6846,7723,7942,7065,6645,7343,7291,7826,7780,7509,7945,7020,6991,6003,5882,5623,6045,7136,6591,7388,7482,6877,6971,7592,7563,7078,7026,7841,7751,5998,5855,6113,6005,7081,7107,7523,7455,7351,7402,7293,7725,6891,6649,6999,7068,6059,6114,6100,6046,7828,7784,7510,7484,4053,4054,3999,4067,3837,4028,3959,4057,7409,7946,6878,6973,7731,7513,7620,7565,7109,7082,7571,7375,5884,6061,6087,6006,7842,7726,7953,7600,7028,6650,7525,7355,6893,7089,7404,7832,7792,7755,71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シーケンスグループ2: Z2_8192
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シーケンスグループ2: Q2_16384
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5,1663,1912,1503,1970,1774,1993,1532,5418,5520,5728,5472,4790,4350,4813,4671,3373,3489,2686,2796,2992,2917,3285,3640,2539,2747,3904,3660,2802,2906,3258,3718,9746,9537,9247,9416,8563,8673,8766,8605,9306,9761,9508,9538,8795,8558,8660,8847,6680,6721,6692,6257,5009,4894,5445,5653,3476,3299,2526,3016,3968,3666,3490,3374,10388,10286,10315,10506,9092,8997,8807,8876,9748,9479,8902,8621,10513,10757,10344,10402,6298,6223,7185,7178,5275,5330,5425,5667,5420,5229,4907,4475,5304,5654,4793,4527,1885,1781,1994,1943,3721,3843,2431,2958,3432,3611,3183,3403,2863,3024,2918,2965,4703,4585,5657,5235,4962,4819,4582,5004,6413,6252,6722,6368,4814,4909,4572,4952,12358,12332,12419,12369,12338,12361,12303,12608,9365,9318,8986,8444,11272,11280,10293,10433,9321,9520,8565,8797,9040,8882,8905,8824,9512,9379,8674,8998,9308,9263,8619,9096,5287,5345,5446,5426,6310,6663,6696,6339,1899,1886,1782,1972,2775,2541,3286,3381,6414,6785,6667,6419,4935,4821,5892,5277,2921,2749,3260,3521,2001,1947,1996,1785,5776,5449,4794,5010,6724,6435,7186,7296,3289,3480,2979,2804,1901,1976,1519,1727,9483,9601,8606,8415,8855,8884,9762,9540,12421,12340,12311,12422,12672,12364,12425,12370,4848,4964,5230,5237,4915,4910,5332,5291,5896,5450,5346,5669,6203,6313,6704,6258,3681,3668,3623,3722,2908,2547,3301,3231,5658,5507,5428,5336,4535,5025,4586,4719,9027,8811,9424,9602,10392,10317,10404,11008,8664,8647,8988,9001,9366,9369,9381,9322,3492,3382,3613,3845,1959,2002,1007,1015,2779,2871,2970,2922,3682,3729,2966,2550,3405,3191,3672,3411,2981,2791,3290,3440,6421,6300,6231,6341,4767,4835,5012,4559,2808,2929,3724,3302,3463,3385,3522,3614,4939,4477,5536,5391,5399,5278,5457,5670,8906,8913,9029,8908,9056,9002,8798,9104,10508,10514,10758,10294,9271,9544,8914,8888,8569,8627,9009,8511,10323,10297,10761,10352,12344,12315,12385,12327,12547,12372,12426,12433,6260,6314,6205,6675,6669,6786,7180,7201,3406,3305,2542,2750,3627,3846,2969,2549,9752,9793,8813,9004,9764,9329,8676,8622,10375,10318,10529,10434,9370,9295,9485,9324,3247,3195,3730,3684,3413,3849,2924,2895,4593,5026,5792,5238,4917,4822,5057,4968,6425,6422,6670,6321,5452,5699,4588,4727,6437,6532,6235,6728,5660,5509,5293,5241,9030,8859,8680,8431,10325,10516,10762,10298,8570,8651,9794,9440,9382,9735,9768,9411,1907,1786,1527,1949,3040,2495,3292,3386,4825,4796,4539,4837,5673,5319,5904,5299,7233,7188,6913,6342,6316,6264,6345,6480,5348,5458,4941,5016,5432,5824,4478,4918,2781,2875,3496,3467,2982,2930,3745,3655,1902,1759,2017,1909,2985,3011,3427,3359,3255,3306,3197,3629,2795,2553,2903,2972,5510,5294,4947,4826,6206,6426,7424,7202,5674,5701,5513,5403,4594,4976,5242,5568,6287,6247,6322,6438,4838,4541,4567,4731,1963,2018,2004,1950,3732,3688,3414,3388,3313,3850,2782,2877,3635,3417,3524,3469,12549,12317,13314,13316,12331,12386,12803,12376,11296,11267,10408,10379,10339,10326,10300,10520,8814,8819,8629,8572,9486,9857,9739,9491,9010,8653,8688,8861,8871,8916,9033,8821,3013,2986,3475,3279,1788,1965,1991,1910,5028,4783,5473,5681,4999,4921,5323,5183,6237,6788,6346,6736,6467,6536,7192,7204,3746,3630,3857,3504,2932,2554,3429,3259,10329,10530,10769,10764,10436,10381,10341,10387,8543,8659,9796,9507,9275,9385,8630,8929,5460,5514,4596,4942,6441,6914,6251,6324,4841,4922,5647,5702,5676,5301,5415,5405,6295,6353,6428,6792,4828,4542,5352,5244,2797,2993,3308,3736,3696,3659,3014,2803,9776,9330,8443,8654,8634,8633,8661,8439,9493,9372,8875,9034,9303,9413,9332,9386,2907,2988,3852,3777,1855,1971,1531,1913,5325,5302,5763,5682,5058,5032,4571,4949,4963,4733,5406,5705,5419,5474,5331,5521,5003,4583,4791,4842,7175,7297,6238,6348,12428,12318,12434,12359,12550,12553,12449,12864,11269,11328,10416,10382,8930,9091,8862,8975,3198,3314,3637,3470,2008,1775,1966,2020,3418,3528,2878,2959,2919,2687,3430,3477,6442,6544,6752,6496,4924,4849,5305,5516,3375,3641,3316,3667,2936,2527,3261,3638,3748,3433,3778,3661,2994,2798,3287,3858,5464,5706,4950,4953,6469,6677,6299,6354,1995,1914,1533,1973,3719,3420,3491,3478,5765,5713,5655,5360,5326,5215,4600,4895,9277,9747,9741,9858,9041,9012,9497,9494,10770,10561,10271,10440,8920,9120,9742,9393,8983,8559,9093,8822,10330,10785,10532,10562,12333,12388,12928,12339,12436,12334,12363,12554,3536,3752,3017,2556,2909,2805,3873,3434,6449,6691,6444,6253,4351,5060,5447,5684,5920,5522,5476,5427,7234,7680,6328,6678,3018,2967,3662,3481,2923,2910,3642,3860,5005,4815,4573,5011,5421,5537,4734,4844,5040,4965,5333,5688,4587,4795,5952,5708,6681,6259,6311,6369,6470,6450,7179,7208,3669,3644,2806,2996,3291,3383,3780,3670,10772,10503,10389,10342,9509,9604,8877,9036,8825,8903,9307,9800,9985,9414,9388,9336,9417,9552,8445,8883,9278,9498,9016,9094,8878,8932,9042,8567,8636,8662,8675,8607,12561,12805,12392,12450,13320,13328,12341,12481,9359,9319,9394,9510,9309,9860,9418,9808,8677,9097,9539,9608,10345,10544,10536,10403,8987,8665,9513,9986,10332,10287,10507,10625,4850,4954,5306,5766,5524,5347,4574,5064,6016,5714,5538,5422,5769,5891,4479,5006,1997,2024,1916,1974,3673,3723,3493,3864,3025,2971,3874,3683,3020,2809,3674,3482,11273,11270,10786,10564,8826,8936,9044,9152,14336,14337,14338,14340,12440,12365,12452,13056,9323,9396,9057,8885,9367,9425,8989,9098,10448,10626,10390,10393,10405,10346,10295,10568,3303,3760,2925,3000,1887,1783,2032,1534,6916,6301,6800,6473,6254,6261,6356,6315,3725,3320,2543,2751,3441,3262,3436,3726,7236,7298,6920,6
474,6370,6693,6682,6531,5480,5659,5231,5451,4911,5072,4966,5013,2983,3026,3731,3407,3552,3387,3293,3442,6452,6360,7187,7181,6560,6415,6423,6302,4823,4589,5334,5429,4969,4797,5308,5569,12556,12562,12806,12342,12371,12345,12809,12400,9500,9864,8907,8999,9310,9420,8666,8828,3685,3494,3497,3523,3686,3615,3307,3484,5337,5528,5027,4852,5729,5716,5671,5770,9514,9616,9824,9568,8886,8446,8909,8767,10776,10817,10788,10353,9105,8990,9541,9749,7216,7182,6481,6694,4956,4595,5349,5279,6816,6262,6476,6723,5540,5430,5661,5893,10394,10319,11281,11274,9371,9426,9521,9763,9516,9325,9003,8571,9400,9750,8889,8623,2003,1977,1019,1021,2931,2810,3415,3444,2551,2973,3847,3389,3294,3498,2926,2783,6684,6533,6317,6265,4827,4919,5018,4970,3525,3309,3041,2933,3631,3905,3876,3784,5730,5777,5014,4598,5453,5239,5720,5459,6697,6343,6928,6323,5029,4839,5338,5488,8799,8681,9753,9331,9058,8915,8678,9100,10509,10348,10818,10464,8910,9005,8668,9048,2987,3042,3906,3733,1787,1998,1978,1903,6372,6482,6456,6848,4856,4977,5772,5350,9383,9441,9542,9522,10406,10759,10792,10435,10510,10881,10763,10515,9031,8917,9988,9373,3880,3851,3689,3676,2005,2006,1951,2019,7240,7425,6534,6318,5511,5433,5570,5662,12423,12366,12577,12482,12373,12564,12810,12346,9872,9545,8890,9106,10820,10531,11282,11392,5454,5353,4590,4798,6698,6725,7189,7300,5675,5894,5017,4597,6537,6427,6266,6592,5295,5243,5778,5732,5461,5897,4972,4943,3505,3792,3888,3908,3028,2974,2812,2989,8944,9060,9326,9333,9011,9006,9428,9387,13344,13315,12456,12427,12387,12374,12348,12568,6497,6705,7203,7426,6347,6207,6484,6538,3419,3969,3315,3734,1789,1980,1911,2009,9992,9546,9442,9765,10299,10409,10800,10354,9754,9603,9524,9432,8631,9121,8682,8815,5088,4543,5340,5434,4829,4923,5544,5515,5030,4978,5793,5703,5033,5059,5475,5407,6671,6726,6700,6325,5303,5354,5245,5677,3526,3390,3015,2934,3747,3690,2879,2995,10517,10396,10327,10437,8863,8931,9108,8655,12377,12578,12817,12812,12484,12429,12389,12435,9035,8573,9632,9487,9495,9374,9553,9766,10356,10410,10301,10771,10765,10882,11276,11297,3970,3853,3448,3500,3737,3808,2555,2937,4843,4601,4951,5020,5780,5736,5462,5436,2021,2010,1967,1915,3639,3912,3697,3310,6439,6429,6376,6268,5361,5898,4830,4925,3032,2799,3431,3529,2990,3044,3471,3859,6349,6326,6787,6706,5683,5465,5572,5517,3663,3750,3506,3749,2022,1790,1535,2012,6430,6729,7194,7681,6443,6498,7248,7205,8689,9122,9888,9334,9013,8918,9153,9064,10521,10518,10766,10417,9548,9795,8684,8823,5061,5034,5523,5327,5794,5678,5905,5552,4980,4602,5477,5307,6355,6545,6329,6540,3421,3317,3530,3738,3692,3435,3019,2938,3199,3263,3854,3479,3508,3698,2557,2997,7193,7190,6488,6730,6789,6737,6679,6384,4845,5041,5356,5784,5744,5707,5062,4851,10533,10628,10331,10824,9756,9605,9389,9337,8921,8892,8635,8933,9769,9415,10000,9395,6350,6239,6471,6708,6944,6546,7304,7428,3021,3048,3643,3537,3753,3318,3779,3422,11329,11284,11009,10438,10412,10360,10441,10576,9444,9554,9037,9112,9528,9920,8574,9014,4955,5036,5900,5825,5246,5362,5685,5518,5466,5576,4926,5007,4967,4735,5478,5525,9606,9390,9043,8922,10302,10522,11520,11298,13317,13376,12464,12430,12818,12609,12319,12488,9770,9797,9609,9499,8690,9072,9338,9664,12378,12833,12580,12610,12820,12551,12437,12390,2940,2998,3671,3740,3862,3532,3321,3754,5423,5689,5364,5715,6500,6451,6445,6561,7432,7206,6357,6712,4984,4575,5309,5686,6976,6732,6330,6790,5796,5481,5826,5709,2025,1975,1022,1023,2911,2807,3056,2558,5042,4846,5335,5906,5767,5468,5539,5526,10383,10343,10418,10534,8934,8637,8663,8827,9124,8879,9569,9777,9095,9017,9419,9279,12393,12592,12584,12451,12380,12335,12555,12673,10333,10884,10442,10832,10563,10632,11288,11300,9556,9610,8692,9038,10537,11010,10347,10420,8937,9018,9743,9798,9772,9397,9511,9501,3645,3483,3875,3861,3781,3437,3512,3700,6548,6371,7040,6738,5584,5800,5065,4604,6562,6446,7682,7264,6793,6915,6504,6683,3761,3446,3495,3538,3027,3001,3865,3322,10391,10449,10524,10888,8924,8638,9448,9340,9421,9398,9859,9778,9154,9128,8667,9045,9059,8829,9502,9801,9515,9570,9427,9617,13321,13318,12834,12612,14344,14352,14368,14339,3443,3553,3646,3485,2026,1917,1999,1918,4957,4853,5921,5482,5066,5015,5710,5529,7235,7209,7312,7196,6255,6475,6358,6453,4971,4958,5690,5908,6332,6593,6361,6552,5717,5692,4854,5044,6753,6740,6695,6794,2811,3022,3675,3438,3540,3727,3002,2927,3972,3877,3029,3030,3687,3756,3782,3501,5339,5431,5828,5718,5721,5771,5541,5912,7237,7210,6373,6303,5073,5019,5922,5731,5068,4857,5722,5530,6564,6454,7684,7217,9099,8679,8887,8938,11271,11393,10334,10444,10538,10640,10848,10592,9020,8945,9401,9612,12496,12674,12438,12441,12453,12394,12343,12616,9560,9802,9046,9049,10565,10773,10395,10450,3866,3324,2975,3043,3445,3677,3920,3762,6685,6917,7242,7440,6754,6801,6477,6263,9861,9809,9751,9456,9422,9311,8696,8991,10545,10787,10540,10349,8447,9156,9543,9780,6744,6483,6362,6512,5351,5808,4973,5048,6796,6374,6535,6457,5773,5368,4591,4799,2033,1979,2028,2034,3785,3704,3554,3878,5489,5310,5484,5774,5031,5074,5779,5455,5600,5435,5341,5490,5733,5542,5545,5571,6594,6686,7328,7688,6478,6377,6699,6918,10016,9618,9572,9523,11330,11776,10424,10774,9101,8911,8669,9107,9517,9633,8830,8940,6319,6267,6802,6756,7456,7696,6485,6921,3499,3976,3486,3295,3735,3764,3907,3691,9136,9061,9429,9784,8683,8891,10048,9804,12824,12865,12836,12401,12442,12367,13329,13322,10777,10355,10407,10465,10566,10546,11275,11304,8946,9050,9402,9862,9620,9443,8670,9160,3544,3527,3868,3881,2813,3004,3786,3793,5734,5663,5355,5532,6364,6458,7360,7712,3909,3788,3936,3882,2935,3033,3678,3984,4979,4858,5463,5492,6568,6539,6817,6727,12557,12396,12866,12512,12454,12807,12840,12483,12558,12929,12811,12563,12868,12579,13330,13440,10112,9810,9634,9518,9865,9987,8575,9102,11012,10397,10896,10569,10350,10357,10452,10411,3794,3768,3449,3507,3045,3034,3889,3391,4599,5021,5895,5437,5342,5546,4974,4831,11332,11394,11016,10570,10466,10789,10778,10627,9576,9755,9327,9547,9007,9168,9062,9109,7238,7212,6499,6431,5573,5357,5089,4981,1981,2007,1982,2011,3693,3884,3556,3502,10548,10456,11283,11277,10656,10511,10519,10398,8919,8685,9430,9525,9065,8893,9404,9665,6327,6378,7299,7249,5679,5953,5924,5832,6269,6701,6804,6760,5035,5090,5954,5781,7218,7241,7183,7488,5928,5899,5737,5724,6486,6460,6385,6922,6707,6489,6596,6541,12347,12457,12848,12402,12565,12444,12375,12485,9433,9624,9123,8948,9825,9812,9767,9866,3910,3739,2991,2939,3560,3311,3450,3531,5553,5840,5936,5956,5076,5022,4860,5037,3694,3699,3509,3452,3890,3533,3046,2814,5467,6017,5363,5782,7301,7220,7191,7302,11312,11278,10577,10790,9052,8691,9445,9375,12404,12458,12349,12819,12813,12930,13324,13345,10912,10358,10572,10819,9636,9526,9757,9989,14341,14400,14345,14342,12569,12566,12814,12465,10780,10629,10413,10361,8923,9015,9114,9066,9826,9873,9110,8694,9549,9335,9816,9555,10793,10439,11024,10419,9125,8935,9434,9584,10468,10578,10552,10944,8952,9073,9868,9446,6547,6351,6818,6702,6929,6576,6501,6331,3568,3741,2559,3036,3751,3796,3913,3701,11336,11521,10630,10414,9607,9529,9666,9758,9550,9449,8686,8894,10794,10821,11285,11396,6380,6808,6768,6731,5574,5438,5063,4982,3423,3539,3510,3809,2036,2023,2040,1791,7552,7244,6924,6849,5795,5738,4927,5043,6018,5901,5496,5548,6270,6386,6709,6542,3323,3534,3514,3513,3049,2999,3541,3319,5785,5856,4603,4985,5687,5960,5745,5358,5080,4847,5479,5577,5038,5092,5519,5907,7305,7250,6490,6600,6502,6549,7224,7195,5711,5798,5554,5797,7265,7207,6447,6713,6388,6739,6333,6710,5469,5365,5578,5786,9771,9990,9113,8693,10633,10523,10362,10688,12581,12676,12379,12872,13377,13332,13057,12486,9391,9339,9874,9828,9557,9993,9068,9039,10593,10801,11299,11522,10443,10303,10580,10634,9184,8639,9436,9530,8925,9019,9640,9611,9126,9074,9889,9799,9129,9155,9571,9503,12460,12408,12489,12624,12350,12570,13568,13346,10767,10822,10796,10421,9399,9450,9341,9773,5740,5483,5067,4986,6820,6505,6850,6733,5247,5311,5902,5527,6359,6930,6791,6492,8939,8697,9047,9116,9876,9832,9558,9532,12431,12391,12466,12582,12381,12932,12490,12880,3755,3914,3810,3971,3742,3855,3921,3892,6563,6550,6608,6824,6945,6506,7427,7252,10535,10525,10472,10364,9457,9994,8926,9021,10445,10422,10883,10802,9779,9561,9668,9613,3800,4000,3863,3439,3050,2941,3973,3702,6734,6553,7306,7313,7429,7197,6714,6932,5556,5746,4605,5045,5069,5096,5691,5585,3757,3916,3705,3783,2013,2027,2014,2029,12611,12680,13336,13348,12585,13058,12395,12468,10526,10825,11290,11777,10539,10594,11344,11301,5801,5366,5827,5470,4988,5046,5719,5788,3325,3763,3023,2942,3896,3974,3758,3812,9157,9130,9619,9423,9890,9774,10001,9648,12439,12497,12572,12936,13319,13441,12382,12492,5910,5580,5369,5802,6741,6716,6363,6455,7211,7266,7683,7256,6852,6742,6745,6795,9076,8698,9573,9403,10451,10641,10425,10636,11289,11286,10584,10826,10885,10833,10775,10480,3922,3447,3516,3542,3555,3487,3557,3977,4959,4855,5104,4606,6565,6936,6946,6755,14353,14346,14354,14464,12586,12688,12896,12640,12613,12821,12443,12498,12593,12835,12588,12397,5693,5531,5923,5909,5829,5485,5560,5748,7308,7198,6746,6554,5809,5494,5543,5586,8941,9137,9452,9880,9840,9803,9158,8947,10446,10335,10567,10804,11040,10642,11400,11524,9051,9132,9996,9921,9342,9458,9781,9614,9562,9672,9022,9103,9063,8831,9574,9621,7314,7239,6375,6832,6797,6392,6513,6334,5075,5049,5913,5370,5491,5601,5694,5533,3057,3003,3867,3545,3706,3816,3924,4032,3937,3765,3869,3978,3787,3879,3052,3058,6508,6798,6803,6479,7430,7433,6624,6459,6365,6514,7329,7744,4859,5070,5723,5486,13378,13824,12472,12822,12825,12403,12455,12513,12614,12594,13323,13352,13060,12445,12944,12617,9519,9785,9460,9811,10596,10547,10541,10657,11528,11302,10453,10808,9080,8671,9405,9782,11072,10828,10426,10886,9892,9577,9922,9805,9138,8942,9431,10002,9863,9564,9635,9622,10644,10467,11136,10834,9680,9896,9161,8700,10658,10542,11778,11360,10889,11011,10600,10779,7213,7268,6757,6566,5588,5775,5050,4975,1983,2035,2037,1919,3546,3708,3005,3031,14348,14369,14401,14356,12398,12405,12500,12459,9053,8949,10017,9578,9162,9111,9806,9625,6569,6595,7808,7219,6020,5925,5077,5078,3766,3326,3789,3647,3985,3870,3006,3035,6758,6687,6379,6556,6487,6516,7316,7214,5735,5804,5830,5549,6919,6461,6366,6570,11331,11305,11408,11292,10351,10571,10454,10549,9067,9054,9786,10004,10428,10689,10457,10648,5914,5372,5023,5091,5493,5725,5968,5810,3883,3451,3769,3503,3679,3561,3938,3795,5833,5752,5602,5926,7243,7434,6597,6381,5547,6024,5534,5343,6703,6977,6948,6856,3
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シーケンスグループ2: Z2_16384
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シーケンスグループ3: Q3_2048
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シーケンスグループ3: Z3_2048
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シーケンスグループ3: Q3_4096
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シーケンスグループ3: Z3_4096
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シーケンスグループ3: Q3_8192
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2847,5056,3278,6191,1530,5404,3167,4961,2303,6411,3399,5768,1773,4789,3012,6529,3636,5214,2957,4893,1969,5324,3872,6690,2767,5002,3474,5418,1990,6468,3428,4811,2525,5520,3379,7185,1779,4903,2963,5728,3373,4570,2686,6352,5472,1883,4732,3489,6
530,3285,5445,2796,4790,1964,6294,3640,5653,2992,4350,3904,6297,1854,5275,2917,4813,3660,6309,3258,5330,1935,4671,2539,5425,3718,6250,2747,5009,1007,5667,3476,6199,4894,3299,5420,2802,7178,1895,4907,3968,5229,2906,6472,3666,4475,1663,5304,2526,6680,3490,4793,3374,5654,1912,4527,3016,6721,3721,4703,2431,4585,6692,1503,5657,3843,4962,2958,6257,3432,5235,1970,4819,3611,6298,2863,5287,3183,4582,1774,6223,3024,5345,3403,5004,3286,6413,5446,1993,4814,2918,5426,3381,7186,2965,4909,1532,5892,3260,6252,3521,4572,2775,5277,1885,6722,3289,4952,5776,2541,6368,3480,4935,1781,5449,2921,6310,3681,4821,3668,5230,1994,6663,2749,4794,3623,5237,6696,2979,5010,3722,5332,1943,6339,3301,4848,2804,5291,3231,7296,1015,4964,2908,5896,3492,6414,4915,3382,5450,1899,6785,2547,4910,3613,5346,2779,4535,1886,6667,3845,5669,5025,3682,6419,2871,5658,3729,4586,1782,6724,2970,5507,3405,4719,3191,6435,1972,5428,4767,2922,6203,3672,5336,2966,4835,2001,7180,3411,5536,3290,5012,2550,6313,5391,1947,4559,3440,6704,2981,5399,3724,4939,3302,6258,1996,5278,4477,2791,6421,3463,5457,3385,4593,1785,6300,2808,5670,3522,5026,6231,2929,5792,1901,4917,3614,6341,3406,5238,2542,4822,3305,7201,5452,1976,5699,2750,6260,3627,5057,3846,6314,1519,5660,2969,4968,6205,3247,5509,2549,4588,3195,6675,1727,5293,3730,4727,6669,2924,5241,3684,4825,1959,6786,3413,5673,2895,4796,3849,6425,5319,3040,4539,2002,7233,3292,5904,3386,4837,2495,6422,5299,1019,4941,3496,6670,3467,5348,2781,5016,6321,3745,5458,1907,4478,2875,6437,3655,5432,3427,4918,6532,1786,5824,2982,6235,3359,5510,3255,4947,2930,7188,5294,1527,4826,3306,6728,2985,5674,3197,4594,6913,1949,5701,3629,4976,3011,6342,3732,5513,3688,4838,6316,1902,5403,2795,4541,3414,6264,2553,5242,6345,3388,4567,1759,5568,3313,6480,2903,5473,4731,3850,7424,2017,5681,3635,5028,2972,6206,5323,3417,4783,2782,6426,1909,5183,3524,4999,6287,3469,5460,2877,6247,3475,4921,1963,5514,6322,3279,4596,3013,5647,3746,6438,2018,5702,4942,3630,7202,2986,5676,3857,4841,3504,6237,5301,2004,6788,2932,4922,3429,5415,6346,2554,4828,3259,5405,1950,6736,3308,4542,5352,2797,6467,3736,5244,3696,7192,5058,1788,5325,2993,6536,3659,5032,3852,5302,6441,3014,4571,1965,5763,3777,6914,4949,3198,6251,2803,5682,3314,4963,1991,6324,5406,2907,5705,3637,6295,3470,4733,5419,2988,7204,1021,5003,3418,6353,5474,3528,4583,2878,6428,1910,5331,4791,3430,6792,3477,5521,2959,6238,3375,5305,4842,1855,6348,3641,5516,2919,4924,6442,3316,5464,3667,7175,1971,4849,5706,2687,6544,3261,4950,3638,5765,6752,2936,5713,1531,6496,3748,4953,5655,3433,6469,2527,4600,3778,5360,6677,1913,4895,3661,7297,2994,5326,5215,3287,6299,2798,4351,5447,3858,6354,2008,5060,3719,6449,5684,3017,5005,3420,6691,3491,5920,4815,1775,6444,2556,5522,3478,7234,5476,3536,4573,2909,6253,5427,1966,5011,3752,6328,3873,5421,6678,2805,4734,3434,5537,2020,6681,5333,3662,6259,3018,4844,5688,3481,6311,3642,5040,1995,5952,7680,2967,4965,3860,6369,3669,5708,5306,3644,6470,2923,4587,6450,1914,5766,3291,4795,3383,6916,5524,2910,5347,3780,6301,4850,1533,7179,3670,6016,2806,4954,6800,3673,5714,3723,6473,4574,1973,5538,2996,6254,5422,3493,5064,3864,6261,3025,5769,6356,3874,4479,1997,5891,7208,3683,5006,2971,6315,3674,5480,5659,3482,6920,2024,4911,6474,3020,5231,3303,5072,6370,3760,5451,2809,6693,5334,1916,4966,3725,7236,3320,5429,6682,2925,5013,3441,5308,6531,3262,5569,1974,6452,4823,3436,5337,3000,6360,4589,3726,7298,3731,5528,4969,1887,6560,2543,5729,3407,6415,5716,3552,4797,2751,6423,5671,3387,6302,1783,5027,5770,3293,6481,2983,5349,7187,3442,4852,3685,5279,6694,3026,4956,1022,6816,5540,3494,5430,3497,6262,4595,3523,6476,2931,5661,4827,2032,6723,3686,5893,7181,3615,5730,2810,4919,6684,3307,5777,3484,6533,5018,1534,5453,2551,6317,5239,3415,6265,3444,4970,5720,2973,7216,3847,5014,6697,2003,5459,3389,6343,5338,3294,4598,2926,6928,5488,3498,6323,3525,5029,5772,1977,7182,2783,5350,6372,3309,4839,3631,5511,6482,3905,5433,1787,6456,4856,3041,6848,5570,3876,4977,3784,6534,5662,2933,7240,3906,5454,4590,1998,6318,3733,5353,6698,2987,4798,3880,6725,5675,3851,5894,6537,3689,5017,1978,7425,5295,3042,4597,3676,6427,5243,3505,6266,3028,5778,6592,3792,4972,1903,5732,6497,3888,5461,7189,3908,4943,2974,5897,6705,3419,5088,3969,6347,5340,2005,6207,5434,2812,4543,3315,6484,5544,3734,7300,3526,5515,6538,2989,4829,5793,2006,6671,3390,4923,6726,3747,5703,3015,6700,5475,3690,5030,6325,3970,5407,1951,7203,5303,3853,6439,2934,4978,5354,3448,6429,5033,3500,6376,2879,5245,6268,3737,5677,2019,5059,7426,3808,5780,6349,3639,5736,2995,6326,4843,3912,5462,6787,3697,4601,1789,6706,5436,2555,7194,5361,3310,4951,3431,6430,5898,3529,6729,5683,2937,6443,1980,5020,7681,3471,5465,4830,3859,6498,3663,5572,6355,3032,5517,6545,3750,4925,3506,5523,6329,1911,5327,7248,2799,5061,3749,6540,5794,3421,6488,5678,3317,5034,2990,6730,5905,2009,6789,5552,3530,7205,3738,4980,5477,3692,6737,4602,3044,6679,3435,5307,6384,3199,5356,6350,2021,4845,3263,5784,7193,3019,5744,6239,3854,5041,6471,3479,5707,2938,6708,5900,2010,5062,7190,3508,5825,3698,6944,5246,3643,6546,4851,2557,6500,5362,3537,4955,3753,6451,5685,1967,7304,5518,3318,6445,5036,2997,6561,3779,5466,6357,3422,5576,4926,3671,6712,5478,3021,7428,1915,5525,6976,3740,5007,6732,3862,5423,5689,3532,6330,3048,4967,7432,3321,5364,6790,3754,5715,6548,2022,4735,3645,6371,5309,2940,5686,7040,3483,4984,7206,3875,5796,6738,3861,5481,1790,6562,4575,2998,6446,5826,3781,7682,5709,3437,5042,3512,6793,5335,2911,6915,4846,3700,6504,5906,1535,6683,5767,3761,7264,3446,5065,6255,2807,5468,5539,3495,6475,4604,3538,6358,5526,3865,7235,5584,3056,6453,1023,4957,6332,3322,5800,6593,3443,5921,4853,3553,7209,5482,2558,6361,5710,3646,6552,3485,5066,6753,2012,5529,6740,3675,5690,7312,3027,5015,6695,3438,5908,5717,3540,6794,3727,5692,6373,3001,4971,7196,2025,5339,6303,3972,5431,6564,3877,4958,6454,3687,5828,7237,2811,5718,6685,3756,4854,3782,5721,6917,1975,5771,6754,3501,5044,7210,3022,5541,6801,3866,5912,6477,3324,5073,6263,3445,5922,7684,3677,5731,6744,3002,5019,6483,2026,5722,3920,6362,5530,3762,5068,7217,3785,5351,6512,2927,5808,6796,3704,4857,6374,3554,5773,7242,1917,5368,6535,3878,4973,6457,3029,5489,6594,3499,5310,7440,3976,5484,6686,3486,5048,6478,3030,5774,6377,3295,5779,1999,4591,7328,3735,5455,6699,3764,5600,6918,3907,4799,6319,2975,5435,7688,3691,5341,6267,3544,5031,6802,3527,5490,6756,1918,5733,7456,3043,5074,6485,3868,5542,6921,3881,5545,6364,3786,5571,7696,3793,4979,6458,2813,5734,6568,3909,5663,6539,2033,4858,7360,3788,5355,6817,3936,5532,6727,3004,4599,6499,3882,5463,7712,3678,5492,6431,3984,5021,6327,3794,5895,6378,1979,5437,7238,2935,5342,6269,3768,4974,6701,3449,5546,6804,5573,3507,7212,4831,3889,6760,5357,3033,6486,5679,3391,6460,5953,2028,7299,5089,3693,6385,5924,3884,6922,5832,3045,7249,4981,3556,6707,5954,3502,6489,5781,3910,6596,5035,3739,7218,5928,2034,6541,5899,3034,6547,5737,6351,3560,5090,7241,3311,5724,6818,3450,5553,6702,3531,5076,7183,2991,5840,6929,3694,5936,6576,1981,5956,6501,3699,5022,7488,3509,5467,6331,6017,3452,6380,4860,2939,6808,5363,3890,7301,5782,3533,6768,5574,3568,6731,5037,3741,7220,5438,2007,6924,5795,6849,3046,5063,6270,3751,5738,7191,3796,6018,6386,3913,5901,6709,2814,4982,5496,3701,5548,7302,4927,3423,6542,5785,3539,6490,5856,1982,6600,5687,3510,7552,5043,2559,6502,5960,6549,3809,5745,7244,3323,4603,6447,3534,5358,6713,3514,5479,6388,3513,5577,7305,4985,2011,6739,5519,3036,6333,5907,3541,7250,5711,3319,6710,5080,3755,6820,5798,6505,3914,5554,7224,3049,4847,6850,3810,5797,6733,3971,5469,7195,5365,3742,6359,5038,2036,6930,5578,3855,6791,5786,2999,7265,5740,6492,3921,5092,6563,3892,5483,7207,3800,5247,6550,5311,4000,6608,5067,3050,6824,5902,3863,7427,5527,2023,6945,4986,6506,3439,5556,7252,3973,5746,6734,3702,5691,6553,4605,3757,7306,5585,2941,6714,5801,3916,6932,5366,6741,3705,5045,7313,3783,5827,6716,2040,5470,6363,5719,3325,7429,5069,3023,6455,5788,3763,6852,5910,7197,3896,5580,6742,3974,5096,6745,5369,3758,7211,5802,2942,6795,5693,3812,6565,4988,6936,3922,5531,7266,1791,5923,6946,3447,5909,6755,5046,3516,7683,5829,3542,6746,5485,6554,3057,5560,7256,3555,4959,6375,3487,6832,5748,7308,3557,5809,6797,3977,5494,6392,4855,3867,7198,5543,2013,6513,5586,6334,3003,5913,6508,3545,5104,7314,3706,5370,6798,5491,3816,6803,5601,3924,7239,4606,6479,4032,5694,6624,3052,7430,5533,6459,3937,5723,6365,3765,5075,7433,5486,2027,6514,5588,3869,6757,5775,7329,3978,5049,6566,3058,6020,6569,5925,3787,7744,5735,3879,6595,6758,4859,3546,7213,5804,3708,6687,5830,6379,3766,5549,7268,3005,5070,6556,5914,2014,6487,5372,3326,6516,5493,7808,3789,6919,5725,6461,3647,5050,7219,3985,5968,6366,5810,3870,6570,5833,3031,7316,4975,6597,3883,5752,6381,3451,7214,5602,6703,3769,5926,6977,5077,3503,7243,5547,2029,6948,6024,6856,3679,5534,7434,3561,6978,5078,6805,3006,5343,7441,5783,3938,6952,5812,3795,6923,5955,7685,3558,5023,6761,3980,7272,5739,6748,3790,5592,6577,5575,3035,7330,5091,3885,6864,5916,6960,1983,5929,7221,6980,3548,5834,6491,3928,5841,7361,4861,3911,7041,5957,6387,3797,7320,5836,3060,6806,5984,6598,3770,5052,7245,5930,3986,6462,5726,6819,3824,7332,6032,3940,6762,5842,7042,3891,4983,7936,5816,2035,6925,5497,3886,6520,7436,5555,3047,6572,5937,7442,3511,5081,6809,5439,4001,6880,7686,5741,3562,6711,5932,3695,6984,5093,7222,3743,5604,6769,6382,3811,5550,7251,5958,3064,6503,5787,3988,6601,5082,7225,3535,6543,5608,6931,2037,5359,7689,5498,3915,6735,7280,5579,3453,6822,5039,3569,6578,5742,7303,2815,5747,6821,6493,4002,5557,7246,5500,3893,6389,4987,6602,3798,7457,5938,6810,4033,5581,7362,5616,3944,6764,5789,3564,6507,7253,5094,3703,6271,5799,6335,1919,5844,7444,6926,3037,5961,7690,4862,3801,6551,5749,6580,3772,7226,5471,6770,3515,5587,6715,5558,3813,7336,6609,4607,3917,7307,5857,6825,3992,5371,6390,7267,3051,5582,6851,5562,3454,6494,5561,7254,3894,6743,5084,7228,3923,5589,6812,5367,3802,6934,7448,5803,2030,6604,5962,6393,3570,7257,5097,6826,3952,5858,7458,6019,3038,6717,6555,5790,3814,7697,5903,6947,3517,5047,6933,7692,3543,5969,6853,5940,3707,7364,6509,5848,4004,6584,6048,7309,3759,5098,6772,7269,3975,5911,6833,5487,3053,6518,7315,6021,3897,6567,5750,6610,2038,5805,7344,6937,3572,4989,7310,5964,3918,6394,6515,5753,3817,7698,5831,6625,7489,3898,5373,6718,5071,3804,6557,5811,7199,3518,6747,5944,7368,3007,6022,6510,6612,4034,5806,7258,4990,4008,6799,7713,5860,3547,7044,5970,6949,7460,39
25,5495,6759,5564,3939,7490,6828,5590,2041,6854,5105,7700,3709,6573,5603,7431,5535,3979,6938,6396,5605,3059,7317,6025,6517,3559,7270,5915,6749,3767,5051,6992,7273,5593,3818,6834,5754,7472,3900,6857,5864,7464,3825,5972,6776,6626,3926,6080,7331,5100,6950,3929,7260,5985,6571,3061,5813,7048,7215,3576,5917,6558,6026,7435,3871,6367,5106,6807,3327,5835,7553,6836,2042,5927,7714,6979,5594,4036,7492,5756,6763,3981,6616,5814,7376,3791,5053,6599,7554,5374,3549,6940,5837,6953,3987,7318,5695,6858,7321,2943,6033,6865,5918,3710,7333,6981,5079,3820,6860,5931,7274,7008,4016,5499,7223,6954,3941,5817,7496,5551,6750,3563,7056,5727,7704,3771,5609,6866,7745,5054,3826,6840,7716,5986,3930,6521,5843,6579,7281,2015,5606,6961,7322,3054,6028,6463,5838,7247,3550,6765,5083,7437,4040,6956,5933,6628,5596,3455,7276,6574,5976,7746,3982,6982,5959,7392,3887,5845,6811,6632,5108,4048,7334,6383,5818,3942,7687,6034,6522,7720,3989,5872,6603,7363,5988,3062,6766,5939,6771,3799,7438,5934,6581,7809,3565,5095,6524,5559,3945,7691,6962,6049,7443,3773,6605,5610,6640,7748,4003,5743,6813,5791,7459,2044,6823,5859,7227,3828,6868,5112,7337,6985,3932,6036,6773,5583,7728,3571,6495,5963,7282,3803,6611,5501,7445,6582,3065,5617,7324,6881,4863,3895,7255,6050,6395,7365,3994,5941,6606,6586,5846,3946,7284,6585,6081,3990,7338,5992,6613,7229,3574,5612,6391,7699,5751,4005,6827,7693,5085,6986,3815,7810,5849,6882,7043,3832,5820,7449,5563,6814,3953,7446,5861,6927,7694,3066,5965,6993,7345,6040,3566,6964,7461,5099,2031,6872,7556,5502,7072,3774,7259,5942,6935,5971,3993,6511,7752,5850,7045,3573,7937,5618,6774,7366,3948,6000,6829,7340,5086,3919,6988,7288,5862,6777,4064,7369,5565,6855,7504,3519,5591,6397,7230,5755,3805,6835,7450,6052,6968,3899,7311,5807,7046,7271,6023,3039,6830,5101,6884,7346,4006,5945,6994,7462,5620,3954,6519,7261,5966,6588,4009,7812,5865,6614,7370,4035,5946,6627,7760,5852,3819,6559,7491,5566,6629,3577,7560,5055,7049,7465,6082,3927,6939,7938,6056,6617,2039,7275,5595,6778,7348,3996,5973,6888,7319,5987,3806,6996,7377,7104,5757,7452,3901,7009,6027,7816,6837,3068,5107,7262,6941,5607,4037,7372,7050,5815,7466,6859,4010,5866,7568,6951,5948,3956,7776,6618,5873,7520,3578,6780,5974,7493,6838,5977,3821,7701,6398,5109,7323,4017,6861,5624,7378,6719,4038,7473,5919,7057,7715,5375,3827,6942,7468,6084,6955,3931,7277,6029,6523,7352,5839,4012,6841,7702,5597,6575,3902,6751,6633,6035,7705,7010,3983,4991,7283,6867,5758,3055,7335,6630,5868,7393,7052,3943,6064,7494,6862,7474,3711,5989,6957,7940,5611,6620,3960,7325,5819,7000,7824,5874,2043,6983,7497,5978,6869,3551,7278,6842,5102,7285,7058,4018,5598,7380,6896,6088,7339,3822,7012,7944,5503,6963,4041,7498,6030,6958,7394,5935,3580,6583,7717,6096,7073,7706,3933,6634,5990,7555,6767,6037,3829,7476,6815,5110,7384,6883,4042,7584,5847,7060,7439,3991,5613,6607,7447,6987,5993,3063,7326,6525,5821,7505,6641,3947,6051,7718,7074,7840,5876,3934,6965,7286,5980,6870,7500,3830,5619,7747,7105,7708,5851,4020,7016,7557,5113,6636,7341,4049,6775,5943,7289,6873,6042,3995,7721,6844,7367,5994,6587,4044,7952,6038,6885,7347,6989,3833,5622,7396,7064,6053,7506,3949,6526,7480,5863,6966,7872,4024,5880,7558,6995,7342,6001,3567,6874,7722,5114,6642,7749,2045,7024,5614,7561,6886,5822,7451,3775,6589,7290,6041,6615,7616,4007,5621,7521,6779,7729,5996,4050,7076,7371,6831,5967,7231,3067,7047,6112,7508,6969,7562,5567,3955,6644,7695,5853,7750,6990,3834,7724,5947,6889,7349,6970,5087,3575,7463,6876,6054,7453,6590,3997,7400,6002,7292,7106,7373,3950,6057,7080,7350,6619,6083,7811,3807,6997,5867,7730,7011,7454,4065,5625,7753,6781,7467,5975,7051,3957,7522,6631,6044,7379,6839,4011,5854,7569,7353,6890,5949,7564,4066,6972,7512,5116,6897,7754,6998,4052,6085,7813,7761,6058,7001,3998,7703,6648,6004,7408,6943,7374,3836,5626,7263,6399,7495,5869,7108,4013,7732,7053,6065,7968,6863,7570,4039,6086,7524,6621,7475,5875,7059,3069,7469,6782,5979,7585,7381,3958,6892,6060,7736,7088,8000,5950,3903,7013,7756,7354,6031,6635,7814,4019,6843,5103,7572,7395,6898,5991,3579,8064,7002,7762,5759,6622,7586,3961,7470,6008,7112,7817,6527,5599,7939,2046,7054,7528,6066,7707,6959,7279,4056,5870,7120,7499,7382,6089,7014,3823,7477,7061,5628,7356,7617,6871,4014,5981,7385,6637,7576,5877,7017,4068,7777,7764,6090,6845,7719,7075,7818,4043,6039,7397,6900,7327,5111,7004,3962,7588,7478,5995,6643,7709,6875,3581,5982,7941,7778,6967,7825,5878,7066,4021,7501,7287,6068,7018,7768,7062,4045,6097,7507,7386,6646,6043,7536,7077,4072,7820,7398,6092,6887,7559,7481,5881,3964,6904,7618,7025,5997,7710,7502,4022,6638,7401,6072,6846,7723,7942,5615,3935,7065,7343,6645,7291,5823,7826,7020,3831,7780,6055,7509,6991,7945,7136,6098,3070,7388,7482,6591,5115,7592,7563,6877,4080,7841,6003,6971,7751,7523,5882,7078,3582,7455,7351,7026,5623,7402,7081,7293,4051,6045,7725,7107,7828,7784,5998,6891,4025,7510,6649,7484,5855,7409,6999,7946,3835,6113,7731,7068,7513,6878,6005,7620,4046,7565,6973,7571,6059,7375,7109,7842,4026,6114,7726,7082,7953,7600,6100,7028,7525,3951,6650,7355,6046,7404,6893,7832,7792,4053,5884,7089,7755,7948,7110,6061,7873,7294,4054,6899,7410,6087,70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シーケンスグループ3: Z3_8192
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シーケンスグループ3: Q3_16384
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67,3476,12560,6199,4894,8820,3299,9317,5420,2802,8881,7178,1895,10270,4907,3968,8566,5229,2906,9363,6472,3666,12448,4475,1663,8615,5304,2526,10386,6680,3490,8658,4793,3374,9392,5654,1912,8985,4527,3016,10311,6721,3721,9358,4703,2431,12808,4585,6692,8442,1503,5657,8563,3843,4962,9746,2958,10502,6257,3432,8673,5235,1970,9537,4819,3611,8766,6298,2863,12576,5287,3183,10505,4582,1774,8605,6223,3024,9247,5345,3403,8795,5004,3286,10401,6413,5446,9416,1993,4814,12816,2918,5426,8558,3381,8660,7186,2965,9306,4909,1532,10816,5892,3260,8847,6252,3521,9761,4572,2775,9092,5277,1885,12480,6722,3289,10285,4952,5776,8997,2541,6368,9508,3480,8807,4935,1781,11280,5449,2921,9538,6310,3681,12832,4821,3668,8876,5230,1994,8902,6663,2749,10340,4794,3623,9748,5237,6696,8621,2979,9479,5010,3722,12358,5332,1943,10880,6339,3301,8986,4848,2804,8444,5291,3231,9365,7296,1015,8565,4964,2908,10291,5896,9318,3492,6414,12332,4915,3382,8797,5450,1899,9040,6785,2547,10388,4910,3613,9321,5346,2779,8882,4535,9520,1886,6667,12419,3845,5669,10286,5025,3682,8905,6419,2871,9512,5658,3729,8824,4586,1782,10315,6724,8674,2970,5507,12369,3405,4719,9379,3191,6435,8998,1972,5428,10506,4767,2922,9308,6203,8619,3672,5336,9096,2966,4835,14338,2001,7180,10513,3411,5536,9263,3290,5012,8606,2550,9483,6313,5391,10757,1947,4559,8415,3440,6704,8855,2981,5399,12338,3724,4939,9601,3302,10344,6258,1996,8884,5278,4477,9762,2791,6421,9027,3463,5457,10402,3385,4593,12361,1785,9540,6300,2808,8811,5670,3522,8664,5026,6231,10293,2929,5792,9424,1901,8647,4917,3614,12303,6341,3406,9602,5238,2542,10433,4822,3305,8988,7201,9001,5452,1976,9366,5699,2750,11296,6260,3627,12608,5057,3846,8906,6314,9369,1519,5660,8913,2969,4968,10392,6205,3247,9381,5509,2549,9029,4588,12421,3195,6675,8908,1727,5293,10317,3730,4727,9322,6669,2924,9056,5241,9271,3684,4825,10404,1959,6786,12340,3413,5673,9002,2895,9544,4796,3849,8798,6425,5319,11008,3040,4539,9104,2002,13316,7233,3292,9752,5904,3386,8914,4837,2495,10508,6422,5299,9793,1019,8888,4941,3496,9764,6670,3467,12311,5348,2781,10514,5016,8569,6321,3745,8627,5458,1907,9329,4478,2875,10758,6437,9009,3655,5432,12422,3427,4918,9370,6532,1786,8511,5824,10294,2982,6235,9295,3359,5510,8813,3255,4947,9485,2930,12672,7188,5294,10323,1527,4826,9004,3306,6728,8676,2985,9324,5674,3197,10297,4594,6913,8622,1949,5701,12364,3629,9794,4976,3011,9030,6342,3732,10761,5513,3688,9440,4838,8859,6316,1902,12425,5403,2795,11267,4541,8680,3414,6264,9382,2553,5242,8431,6345,3388,10352,4567,9735,1759,5568,12370,3313,6480,8570,2903,9768,5473,4731,10375,3850,7424,8651,2017,5681,9411,3635,8814,5028,2972,12344,6206,5323,10318,3417,8819,4783,2782,9486,6426,1909,8629,5183,3524,10529,4999,12315,6287,3469,9857,5460,2877,8572,6247,10434,3475,4921,9739,1963,5514,9010,6322,9491,3279,4596,12385,3013,5647,10325,3746,6438,8653,2018,8688,5702,4942,9796,3630,7202,10516,2986,12327,5676,3857,8861,4841,3504,9507,6237,10762,5301,2004,8871,6788,2932,9275,4922,8916,3429,5415,12547,6346,2554,10298,4828,9385,3259,5405,9033,1950,6736,8821,3308,10408,4542,5352,12372,2797,6467,9776,3736,8543,5244,3696,9330,7192,5058,11269,1788,5325,8659,2993,9493,6536,3659,12426,5032,10379,3852,5302,8630,6441,3014,9372,4571,8929,1965,5763,10339,3777,6914,12433,4949,9303,3198,6251,8443,2803,5682,9413,3314,10326,4963,1991,8654,6324,5406,12549,2907,8634,5705,3637,10300,6295,3470,9332,4733,8633,5419,2988,9386,7204,1021,10520,5003,13320,3418,6353,8661,5474,3528,9277,4583,10329,2878,6428,8439,1910,9747,5331,4791,12317,3430,6792,8875,3477,10530,5521,2959,9741,6238,3375,9034,5305,9858,4842,1855,12331,6348,3641,10769,5516,8930,2919,4924,9091,6442,10764,3316,5464,9497,3667,7175,14340,1971,8862,4849,5706,9494,2687,10436,6544,3261,8975,4950,3638,9742,5765,11328,6752,2936,12386,5713,1531,9041,6496,9393,3748,4953,9012,5655,10381,3433,6469,9509,2527,4600,12803,3778,8920,5360,6677,10341,1913,9604,4895,3661,9120,7297,2994,9307,5326,12376,5215,3287,10387,6299,8983,2798,4351,8559,5447,3858,10416,6354,9800,2008,5060,12428,3719,9093,6449,5684,9985,3017,5005,10382,3420,8822,6691,3491,9414,5920,12318,4815,1775,10770,6444,2556,8877,5522,9388,3478,7234,9036,5476,10561,3536,4573,12434,2909,6253,9336,5427,8825,1966,5011,10271,3752,9417,6328,3873,8903,5421,12359,6678,2805,9552,4734,3434,10440,5537,8445,2020,6681,9278,5333,11273,3662,6259,12550,3018,8883,4844,5688,9498,3481,6311,9016,3642,10330,5040,1995,9359,5952,12553,7680,2967,9094,4965,10785,3860,6369,9319,3669,5708,8878,5306,8932,3644,6470,12449,2923,10532,4587,6450,9394,1914,9042,5766,3291,10562,4795,9510,3383,6916,12864,5524,8567,2910,5347,10772,3780,6301,9309,4850,8636,1533,7179,9860,3670,12333,6016,2806,10503,4954,8662,6800,3673,9418,5714,10389,3723,6473,8675,4574,13328,1973,5538,9808,2996,6254,8607,5422,10342,3493,5064,9539,3864,8677,6261,3025,12388,5769,10345,6356,3874,9608,4479,9097,1997,5891,11270,7208,9513,3683,5006,12928,2971,8987,6315,3674,9986,5480,10544,5659,3482,8665,6920,2024,12339,4911,9323,6474,3020,10536,5231,8826,3303,5072,9396,6370,10403,3760,5451,12436,2809,8936,6693,5334,9367,1916,9044,4966,3725,10332,7236,9425,3320,5429,12334,6682,9152,2925,5013,10287,3441,9500,5308,6531,9057,3262,10507,5569,1974,12363,6452,9864,4823,3436,8885,5337,10625,3000,6360,9310,4589,12554,3726,7298,8989,3731,9420,5528,4969,1
0786,1887,9098,6560,2543,9514,5729,12561,3407,6415,10564,5716,8907,3552,4797,9616,2751,11281,6423,5671,8999,3387,12805,6302,1783,9824,5027,8666,5770,3293,10448,6481,9568,2983,5349,14344,7187,8828,3442,4852,10626,3685,9541,5279,6694,8886,3026,10390,4956,1022,12392,6816,9749,5540,3494,8446,5430,10393,3497,9371,6262,4595,8909,3523,12450,6476,2931,10405,5661,9426,4827,2032,8767,6723,9521,3686,5893,12341,7181,10346,3615,5730,9105,2810,9763,4919,6684,10295,3307,8990,5777,3484,12481,6533,9516,5018,1534,11274,5453,9003,2551,9325,6317,5239,13344,3415,10568,6265,3444,8571,4970,9400,5720,2973,10776,7216,8889,3847,5014,12440,6697,9750,2003,5459,8623,3389,10817,6343,8799,5338,3294,12365,4598,8681,2926,6928,10788,5488,9753,3498,6323,9058,3525,10353,5029,5772,12452,1977,9331,7182,8915,2783,5350,10394,6372,9383,3309,4839,13056,3631,8678,5511,6482,10319,3905,9441,5433,1787,9100,6456,10509,4856,12556,3041,6848,9542,5570,8910,3876,4977,9522,3784,11282,6534,5662,12562,2933,9005,7240,9988,3906,5454,10348,4590,8668,1998,6318,12806,3733,9373,5353,6698,10818,2987,9048,4798,9872,3880,6725,10464,5675,12342,3851,5894,9031,6537,9545,3689,10406,5017,1978,8917,7425,12371,5295,3042,9326,4597,10759,3676,6427,8890,5243,9333,3505,10792,6266,3028,12345,5778,9106,6592,3792,9428,4972,10435,1903,8944,5732,6497,12809,3888,9387,5461,7189,11392,3908,9060,4943,9992,2974,5897,13315,6705,10510,3419,5088,9011,3969,9546,6347,10881,5340,2005,12400,6207,9006,5434,2812,9442,4543,8631,3315,10763,6484,5544,9765,3734,12423,7300,3526,9121,5515,10515,6538,9754,2989,4829,8682,5793,14352,2006,6671,10820,3390,9603,4923,8815,6726,3747,10531,5703,12366,3015,9524,6700,5475,8863,3690,10299,5030,6325,9432,3970,12577,5407,8931,1951,7203,11276,5303,9632,3853,6439,9108,2934,10409,4978,12482,5354,3448,9487,6429,8655,5033,10800,3500,6376,9495,2879,12373,5245,6268,9035,3737,10354,5677,9374,2019,5059,8573,7426,12564,3808,10517,5780,6349,9553,3639,8689,5736,10396,2995,6326,12810,4843,9766,3912,5462,9122,6787,10327,3697,9888,4601,1789,12346,6706,9013,5436,10437,2555,7194,9334,5361,8918,3310,12456,4951,3431,11297,6430,9548,5898,9795,3529,6729,10356,5683,13317,2937,6443,9153,1980,10410,5020,9756,7681,3471,9064,5465,10301,4830,12427,3859,6498,9605,3663,8684,5572,10771,6355,3032,9389,5517,12387,6545,8823,3750,4925,10765,3506,9337,5523,8921,6329,1911,12374,5327,10882,7248,9769,2799,5061,8892,3749,10521,6540,12348,5794,3421,9415,6488,8635,5678,11329,3317,5034,10000,2990,12568,6730,8933,5905,2009,10518,6789,9395,5552,9037,3530,7205,12377,3738,10766,4980,9444,5477,3692,9112,6737,10417,4602,12578,3044,6679,9554,3435,8574,5307,10533,6384,3199,9528,5356,12817,6350,9014,2021,4845,10628,3263,9920,5784,10331,7193,14368,3019,5744,9606,6239,9043,3854,11284,5041,6471,9390,3479,12812,5707,8922,2938,6708,10824,5900,9770,2010,8690,5062,7190,12484,3508,11009,5825,9797,3698,6944,9072,5246,13376,3643,10438,6546,9609,4851,2557,8934,6500,10412,5362,12429,3537,4955,9499,3753,8637,6451,10360,5685,1967,9338,7304,12389,5518,10441,3318,8663,6445,5036,9664,2997,10576,6561,12435,3779,5466,9569,6357,8827,3422,11520,5576,9777,4926,3671,12464,6712,9124,5478,10302,3021,7428,9419,1915,8879,5525,12430,6976,3740,10522,5007,9279,6732,9095,3862,10383,5423,5689,12818,3532,9556,6330,10343,3048,9017,4967,7432,12609,3321,9610,5364,10418,6790,3754,8692,5715,9743,6548,12319,2022,10534,4735,3645,9798,6371,9038,5309,11298,2940,5686,12488,7040,9772,3483,8937,4984,10333,7206,3875,9397,5796,13321,6738,10884,3861,9018,5481,1790,9511,6562,10442,4575,12378,2998,8924,6446,5826,9501,3781,10832,7682,12833,5709,3437,8638,5042,9448,3512,10563,6793,9340,5335,2911,12580,6915,11288,4846,9154,3700,9421,6504,5906,10632,1535,14339,6683,9128,5767,9398,3761,7264,10537,3446,12610,5065,8667,6255,9859,2807,5468,11010,5539,9045,3495,12820,6475,10347,4604,3538,9778,6358,9059,5526,10420,3865,12551,7235,5584,9502,3056,9801,6453,10391,1023,8829,4957,6332,12437,3322,9515,5800,11300,6593,9099,3443,5921,12390,4853,10449,3553,9570,7209,8679,5482,2558,10524,6361,12393,5710,9427,3646,8887,6552,10888,3485,5066,13318,6753,9617,2012,10334,5529,9401,6740,3675,8938,5690,12592,7312,10444,3027,9612,5015,6695,9020,3438,10538,5908,12584,5717,9560,3540,11271,6794,3727,8945,5692,12451,6373,9802,3001,10640,4971,7196,9046,2025,9861,5339,12380,6303,10848,3972,9809,5431,6564,10592,3877,9049,4958,12335,6454,9751,3687,5828,10565,7237,8696,2811,12555,5718,9456,6685,10773,3756,4854,8991,3782,11393,5721,12673,6917,9422,1975,9311,5771,6754,10395,3501,12834,5044,8447,7210,9543,3022,5541,10450,6801,9156,3866,14341,5912,10545,6477,9780,3324,5073,9101,6263,12612,3445,10787,5922,10016,7684,8911,3677,5731,10540,6744,13329,3002,9618,5019,11330,6483,9572,2026,5722,12496,3920,8669,6362,10349,5530,9523,3762,9107,5068,7217,12674,3785,10424,5351,9517,6512,10774,2927,12438,5808,8830,6796,3704,9633,4857,10777,6374,9429,3554,12441,5773,10355,7242,1917,8940,5368,9784,6535,12453,3878,10407,4973,9136,6457,3029,10048,5489,11776,6594,12394,3499,9061,5310,10465,7440,9804,3976,5484,12343,6686,9402,3486,10566,5048,8683,6478,13322,3030,5774,10546,6377,9862,3295,8891,5779,11012,1999,12616,4591,9620,7328,3735,9443,5455,10397,6699,12824,3764,8946,5600,11275,6918,10112,3907,4799,9050,6319,12865,2975,10896,5435,9810,7688,10569,3691,12836,5341,6267,8670,3544,9634,5031,10350,6802,14400,3527,9518,5490,9160,6756,1918,10357,5733,9865,7456,12401,3043,10452,5074,8575,6485,9987,3868,5542,12442,6921,11304,3881,9102,5545,10411,6364,12367,3786,9576,5571,9755,7696,3793,11016,4979,9007,6458,12557,2813,10570,5734,9327,6568,9168,3909,5663,13330,6539,10466,2033,9547,4858,10789,7360,12396,3788,9430,5355,9062,6817,3936,11332,5532,9525,6727,12866,3004,10778,4599,9109,6499,9404,3882,12512,5463,7712,10627,3678,9665,5492,10548,6431,12454,3984,8919,5021,9433,6327,10456,3794,5895,8685,6378,12807,1979,11394,5437,9624,7238,9065,2935,12840,5342,10656,6269,3768,9825,4974,10511,6701,12483,3449,9812,5546,8893,6804,10519,5573,13440,3507,9767,7212,4831,10398,3889,9123,6760,12558,5357,9866,3033,10577,6486,9445,5679,11283,3391,15360,6460,5953,8948,2028,9375,7299,10790,5089,12929,3693,9052,6385,10912,5924,9636,3884,12811,6922,5832,9526,3045,10358,7249,8691,4981,12563,3556,10572,6707,9757,5954,8923,3502,10819,6489,12868,5781,3910,9989,6596,11277,5035,9826,3739,12579,7218,9015,5928,10780,2034,9873,6541,12347,5899,10629,3034,6547,9114,5737,9549,6351,13324,3560,10413,5090,9335,7241,10361,3311,12457,5724,9066,6818,9816,3450,5553,11312,6702,12848,3531,9110,5076,10793,7183,9555,2991,12402,5840,10439,6929,9434,3694,8694,5936,11024,6576,1981,12565,5956,9584,6501,10419,3699,9125,5022,12444,7488,9868,3509,11278,5467,9446,6331,14345,6017,10468,3452,6380,8935,4860,9607,2939,12375,6808,10578,5363,9529,3890,10552,7301,12485,5782,8952,3533,10944,6768,9666,5574,13345,3568,9073,6731,5037,10630,3741,9758,7220,12404,5438,11336,2007,9550,6924,8686,5795,12458,6849,10414,3046,9449,5063,10794,6270,12349,3751,8894,5738,7191,10821,3796,9771,6018,12819,6386,9990,3913,10633,5901,9113,6709,12813,2814,11521,4982,9391,5496,8693,3701,12930,5548,10523,7302,9339,4927,3423,10362,6542,12569,5785,9874,3539,10688,6490,9068,5856,13377,1982,9828,6600,10593,5687,9557,3510,12566,7552,11285,5043,9039,2559,9993,6502,10801,5960,6549,12814,3809,9184,5745,10443,7244,14342,3323,9436,4603,10303,6447,9530,3534,12465,5358,8639,6713,10580,3514,9640,5479,12581,6388,11396,3513,9611,5577,10634,7305,12676,4985,8925,2011,6739,9889,5519,10767,3036,12379,6333,9019,5907,10822,3541,9799,7250,13332,5711,10796,3319,9571,6710,9126,5080,12872,3755,10421,6820,9503,5798,11299,6505,13057,3914,9399,5554,10535,7224,9074,3049,12486,4847,9450,6850,3810,10525,5797,9129,6733,12460,3971,10472,5469,9341,7195,10364,5365,12408,3742,9773,6359,9155,5038,11522,2036,12489,6930,9876,5578,10445,3855,9832,6791,14353,5786,10422,2999,8939,7265,9558,5740,12624,6492,10883,3921,8697,5092,10802,6563,13568,3892,9532,5483,11290,7207,9457,3800,5247,12350,6550,9047,5311,10526,4000,12570,6608,9994,5067,10825,3050,9779,6824,12431,5902,10539,3863,9116,7427,11777,5527,12391,2023,9561,6945,8926,4986,10594,6506,12466,3439,9668,5556,10451,7252,9613,3973,12582,5746,10641,6734,9021,3702,9619,5691,13346,6553,10425,4605,9423,3757,11344,7306,12381,5585,9157,2941,10636,6714,12932,5801,9890,3916,10584,6932,9774,5366,14346,6741,9130,3705,10826,5045,10001,7313,12490,3783,10885,5827,9648,6716,11301,2040,12880,5470,9076,6363,9573,5719,10833,3325,12611,7429,8698,5069,10775,3023,13336,6455,9403,5788,10480,3763,9452,6852,12680,5910,10446,7197,8941,3896,9880,5580,12585,6742,11289,3974,9840,5096,10335,6745,13058,5369,9137,3758,7211,10567,9803,5802,12395,2942,10804,6795,9996,5693,12468,3812,9158,6565,11286,4988,9921,6936,12439,3922,11040,5531,9342,7266,10642,1791,13348,5923,8947,6946,10596,3447,9458,5909,14354,6755,9051,5046,10547,3516,12497,7683,9781,5829,11400,3542,9614,6746,12572,5485,10541,6554,9132,3057,10657,5560,12936,7256,9562,3555,10453,4959,12382,6375,9672,3487,9022,6832,10808,5748,12492,7308,9574,3557,11524,5809,9621,6797,12586,3977,11072,5494,9103,6392,10828,4855,13319,3867,9519,7198,9785,5543,12688,2013,10426,6513,9063,5586,11528,6334,12896,3003,9460,5913,10886,6508,9811,3545,12640,5104,10644,7314,8831,3706,14464,5370,10467,6798,9405,5491,9782,3816,12613,6803,11136,5601,9080,3924,11302,12821,7239,9892,4606,10834,6479,13441,4032,9577,5694,10658,6624,8671,3052,12443,7430,10542,5533,9922,6459,11778,3937,12498,5723,9805,6365,9138,3765,12593,5075,10889,7433,9431,5486,11011,2027,12835,6514,8942,5588,10600,3869,12588,6757,10002,5775,10779,7329,9863,3978,13378,5049,11360,9161,6566,10351,3058,12397,6020,9564,6569,9635,5925,14348,3787,10571,7744,8700,5735,10454,3879,12472,6595,9622,6758,11331,4859,12822,3546,9680,7213,10549,5804,9053,3708,12825,6687,10428,5830,9896,6379,10689,3766,12403,10017,5549,8949,7268,12455,3005,11305,5070,9578,6556,10457,5914,13824,2014,9806,6487,10648,5372,12513,3326,9162,6516,10849,5493,9625,7808,12614,3789,10836,6919,9786,5725,11408,6461,3647,5050,12594,7219,9111,3985,10791,5968,13060,6366,10004,5810,9813,3870,10890,6570,14369,5833,9788,3031,10469,7316,12445,4975,9067,6597,11292,3883,9435,5752,13323,6381,10399,3451,7214,9527,5602,12944,6703,10660,3769,9054,5926,10550,6977,12617,5077,9924,3503,11333,7243,12398,5547,9814,2029,10781,6948,8950,6024,12405,6856,9817,3679,
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シーケンスグループ3: Z3_16384
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シーケンスグループ4: Q4_2048
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シーケンスグループ4: Z4_2048
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シーケンスグループ4: Q4_4096
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シーケンスグループ4: Z4_4096
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シーケンスグループ4: Q4_8192
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2876,1853,4893,2801,6294,3278,6297,5768,2902,1015,3167,6309,3399,5214,2905,5324,5002,3636,3872,2552,5418,2847,6250,4811,5520,3474,6199,2303,6472,3012,5728,1989,4903,7232,3428,4570,2957,3379,4732,5472,3373,4790,4350,3489,6680,2767,5445,1962,5
653,1908,4813,6721,3285,1530,5275,2525,5330,4671,5009,3640,6692,5425,2963,4894,1773,4907,3904,7177,6257,1969,4475,1990,5667,3660,6298,5420,2686,6223,5229,2796,1779,4793,2992,6413,3258,6252,1883,5304,4527,3718,6722,3476,5654,2917,1964,4703,3299,6368,3968,2539,5657,2747,6310,4585,1854,3666,6663,3490,6696,5235,2802,1935,4962,3374,3721,4819,2906,3843,6339,4582,5287,3432,1019,3611,6414,2526,5345,1895,5446,7174,5004,3016,3183,1663,5426,2431,5892,4814,4909,3403,6785,5277,2958,4572,1912,4952,7185,3286,5776,2863,5449,4935,1503,5230,3381,6667,5237,3024,6419,5332,1970,4821,2918,6724,6435,1774,4794,5291,3260,5010,6203,3521,5896,2965,1993,4848,4964,3289,6313,3480,6704,1532,6258,1885,4915,3681,6421,3668,6300,5450,2775,4910,3623,3722,4535,2541,3301,6231,5025,1781,3231,7178,3492,6341,2921,5346,1994,5669,3382,4586,2749,6260,3613,5658,2979,5507,4719,1021,3845,6314,3682,5428,5336,1943,4767,3729,3405,5536,2804,5391,4835,5399,3191,2908,5278,2547,6205,5457,1899,5012,7186,6675,5670,2779,1886,4559,5792,3672,4939,6669,3411,6786,5238,2871,1782,4477,3290,6425,6422,1972,5452,2970,5699,4593,3440,6670,3724,6321,5660,2922,5026,4917,3302,6437,3463,2966,6532,4822,2001,5057,3385,7296,3522,6235,5509,2550,1947,5293,3614,4968,2981,6728,3406,6913,5241,1996,1022,4588,3305,6342,3627,5673,5319,3846,4727,3247,3195,5904,2791,5299,4825,1785,3730,6316,5348,2808,6264,5458,1901,4796,3684,3413,6345,5432,2929,4539,5824,3849,4837,2542,3292,6480,5510,1976,5294,3386,6206,2750,1519,5674,2969,5701,4941,6426,3496,2549,5513,2924,5016,4478,3467,6287,7180,5403,2895,1727,4918,3745,7201,3655,6247,5242,3040,6322,4947,5568,3427,4826,2495,6438,6237,5473,1959,4594,7233,4976,3359,6788,3255,2002,5681,3306,4838,4541,3197,6346,3629,5323,2781,1907,4567,1786,4731,3732,6736,3688,5183,6467,5460,1527,5028,3414,3388,6536,5514,2875,4783,1949,3313,2982,3850,6441,5647,1902,5702,3635,6914,5676,2930,1759,5301,2985,5415,4999,3011,3417,6251,5405,2795,4921,3524,6324,3469,5352,2553,5244,4596,7188,3475,2903,5325,2972,6295,4942,5302,3279,6353,2782,6428,2877,5763,2017,4841,7424,3746,4922,6792,3630,4828,5682,3857,4542,5058,3504,6238,6348,5406,1909,5705,1963,5032,3429,6442,3259,2018,6544,5419,4571,4949,3308,3736,6752,5474,3013,4963,2004,4733,3696,7202,3659,6496,1950,1788,5331,3852,6469,5521,2986,6677,5305,2932,1965,5003,2554,6299,3777,6354,5516,5464,3198,6449,3314,5706,2797,5765,4583,3637,3470,2993,5713,3014,6691,4791,5655,3418,6444,3528,6253,5360,2803,1991,4842,7192,3430,4924,2907,3477,6328,4849,5326,3375,4950,3641,6678,2988,5215,1910,5447,7204,4953,6681,3316,1855,5684,2878,5920,4600,4895,3667,6259,5522,2959,4351,1971,5060,3261,7175,3638,6311,5476,5005,1531,5427,3748,6369,5421,2919,6470,5537,1913,4815,2687,6450,3433,6916,2008,5333,3778,4573,6301,3661,5688,2936,1775,5011,3287,6800,3858,6473,5952,2527,6254,1966,3719,6261,3420,6356,5708,2994,4734,3491,3478,4844,2798,3536,6315,5040,5306,3752,7297,3873,6920,3017,5766,2020,5524,7234,4965,2556,3434,5347,2909,6016,4587,4795,3662,6474,3481,5714,5538,1995,4850,7680,3642,5422,2805,5769,4954,5891,3860,6370,5480,3018,6693,5659,1914,4574,7179,6682,6531,1533,5064,5231,3669,4479,6452,3644,6360,5451,2967,1973,5006,3291,6560,3383,6415,1997,6423,5334,4911,3780,6302,3670,6481,5429,2923,5072,3673,6694,3723,2910,3493,6816,4966,2024,3864,7208,3874,6262,5308,2806,1916,5569,3683,5013,2996,6476,3674,6723,5337,5528,1023,3482,6684,3303,5729,5716,7236,4823,3760,3725,5671,3025,5770,4589,5349,3320,6533,5279,2971,6317,5540,1974,4969,7298,3441,6265,5430,3020,4797,5661,3262,5027,6697,3436,6343,5893,1887,5730,3726,6928,6323,1783,5777,2809,5453,4852,6372,3731,6482,5239,2925,4956,4595,3407,6456,3552,7187,6848,2032,4827,3387,7181,3293,6534,5720,3000,6318,5459,3442,4919,2543,6698,3685,6725,5338,1534,7216,5018,3494,6537,3497,5488,5772,3523,4970,3686,6427,3615,5350,2751,5511,5014,2003,3307,6266,3484,5433,6592,5570,1977,4598,3415,3444,6497,5662,2983,5029,5454,3847,3026,3389,6705,5353,1787,5675,7182,6347,5894,2931,1998,5295,2810,5243,4839,6207,3294,6484,5778,2551,4856,3498,6538,7240,5732,2973,5461,4977,3525,7425,3309,6671,5897,2926,6726,4590,5340,3631,6700,2783,6325,6439,5434,1978,4798,7189,3905,5017,6429,3876,5544,3784,4597,4972,3906,6376,3733,6268,5515,1903,2005,4943,3880,6349,3851,5793,6326,5703,5088,3689,3676,6787,5475,3041,4543,2006,3505,7300,3792,6706,5407,1951,5303,3888,6430,5354,2933,6729,5245,2987,5677,4829,3042,3908,6443,5780,5736,3419,6498,3969,5462,3028,5436,4923,7203,3315,2974,5361,2812,6355,5030,5898,3734,6545,7426,6329,5683,2989,2019,4978,7194,3526,5033,6540,3390,6488,5059,5465,3747,4843,3690,6730,6789,5572,1789,5517,7681,4601,3970,6737,3853,1980,6679,5523,4951,5020,3448,6384,3500,5327,3015,4830,1911,4925,3737,7248,3808,6350,5794,2009,5678,3639,6239,5905,2934,6471,5552,2021,2879,6708,3912,6944,5477,5307,3697,6546,3310,5356,2995,5784,5061,3431,3529,6500,5744,2555,6451,5707,3471,6445,3859,6561,5900,2937,5034,7205,3663,4980,3032,3750,6357,4602,5825,3506,7193,3749,6712,2799,5246,2010,5362,7190,4845,6976,3421,5685,2990,5518,5041,5062,3317,6732,7304,5466,5576,1967,4851,3530,7428,3738,6330,5478,4955,5525,3692,6790,5423,3044,6548,5689,1915,5036,7432,6371,3435,7040,2022,5364,3199,4926,6738,3263,6562,5715,3019,1790,5007,3854,6446,3479,6793,5309,6915,5686,3508,6504,3698,6683,5796,2938,4967,3643,3537,2557,3753,6255,4735,5481,3318,7206,3779,6475,5826,2997,1535,5709,7682,4984,3021,3422,6358,5335,5906,4575,3671,6453,3740,5767,5468,7264,5042,7235,3862,5539,3048,5526,4846,5584,3532,6332,5800,2940,6593,5921,2012,5065,7209,3321,6361,6552,4604,5482,3754,4957,6753,3645,6740,5710,2025,5529,3483,6695,3875,6794,1975,6373,5690,4853,6303,3861,6564,5908,2998,5066,3781,6454,3437,7312,3512,6685,2026,3700,7196,3761,6917,5717,2911,6754,5692,3446,5015,2807,6801,3495,6477,5339,5431,7237,3538,6263,3865,5828,5718,7210,4971,3322,3443,5721,3056,5771,4958,5541,3553,6744,3646,5912,6483,5922,1917,4854,7684,3485,6362,5731,2558,5044,5722,3675,6512,3438,6796,5530,1999,5351,7217,6374,6535,1918,5808,3027,5773,5073,6457,3540,6594,5368,3001,5019,3727,6686,3972,7242,6478,5489,5068,3877,7440,3687,6377,5310,2811,6699,5484,3756,6918,3022,6319,3782,6267,5774,2033,7328,3501,4857,6802,3866,5779,3324,4973,3445,6756,3677,6485,5455,5600,1979,3920,6921,3762,5435,6364,5341,5048,3785,3704,6458,5490,3002,4591,5733,3554,7688,3878,6568,5542,2028,5545,7456,6539,5571,2927,5734,3029,5663,4799,6817,3499,6727,5355,5532,3976,6499,7696,5463,3030,5492,5031,7360,3486,6431,5895,2975,6327,5074,5437,3295,6378,7712,6269,6701,2034,4979,7238,3735,4858,6804,3764,6760,5342,3907,4599,3691,6486,3544,6460,5546,1981,7212,5021,3527,6385,3868,5573,6922,5357,4974,3881,6707,3786,5679,3043,4831,2007,3793,7299,3909,6489,5953,1982,5924,3788,6596,5832,2813,6541,5954,5781,3004,3936,6547,5928,5899,7249,6351,3882,5737,2935,5724,5089,7218,3678,6818,5553,3033,6702,5840,3984,6929,7241,6576,5936,3045,4981,7183,3794,5035,6501,3768,6331,5090,5956,3449,7488,3507,6380,6808,5467,2011,6017,7301,5076,6768,3889,6731,5363,5022,4860,3391,6924,3693,7220,5782,2036,5037,3884,7191,3556,6849,5574,5438,3502,6270,5795,3034,6386,5738,2023,7302,6709,3910,6542,6018,5901,3739,6490,3560,6600,5496,2991,5548,5063,3311,3450,6502,5785,6549,5856,3531,6447,3694,6713,5687,2939,4982,7552,3699,3046,3509,6388,4927,5960,3452,7244,7305,6739,5745,2814,2040,5358,7250,5043,6333,3890,6710,5479,5577,4603,3533,6820,7224,5519,5907,7195,4985,3568,7265,3741,6505,5711,5080,5798,3751,6850,5554,2559,6733,5797,1791,4847,7207,3796,6359,6930,5469,3913,5038,6791,3701,6492,5365,2013,3423,6563,3539,6550,5578,6608,5786,6824,3510,6945,5740,3036,5092,3809,3323,7427,3534,6506,5483,3514,7252,3513,6734,5247,3049,6553,5311,7306,5067,2999,3541,6714,5902,5527,7313,3319,6932,3755,5556,5746,7429,4986,7197,3914,5691,3050,5585,4605,5801,3810,6741,7211,5366,6716,5827,2027,5045,7266,3971,6363,6455,5069,5470,3742,6852,3855,6742,5719,2014,5788,7683,6745,3921,6795,2029,6565,5910,5096,6936,3892,6946,5580,2941,4988,3800,6755,4000,7256,6746,5369,3863,7308,3439,6554,5802,3023,6375,5693,3973,2942,6832,3702,6797,5531,5923,7198,3757,6392,3916,5909,7314,5046,3705,3783,6513,5829,5485,5560,3325,6334,3763,5748,6508,5809,4959,7239,3896,6798,5494,3057,4855,5543,3974,7430,3758,6803,5586,1983,5913,7433,6479,6624,5370,3003,5491,5104,6459,3812,6365,5601,5694,3922,6514,3447,7329,6757,5533,4606,7744,3516,6566,5723,3052,6569,5486,3542,6595,7213,6758,3555,6687,2035,7268,3487,5075,6379,3557,6556,5588,3977,5049,3867,6487,3545,6516,5775,6020,7808,3706,6919,3816,5925,6461,5735,4859,3924,4032,5804,3058,5070,5830,3937,7219,3765,6366,5549,2037,5914,7316,6570,5372,3005,5493,5725,6597,3869,6381,5968,5810,7214,6703,7243,5833,3031,5752,5050,7434,3978,6977,5602,3006,6948,5926,3787,6856,7441,6978,6805,4975,7685,3879,5077,6952,3546,6923,5547,3708,7272,3766,6761,3326,6748,6024,1919,7330,5078,6577,3789,6864,5534,5023,3647,6960,3985,7221,5343,2030,3870,7361,3883,6980,5783,5812,3451,6491,5955,3035,7041,5739,5592,7320,3769,6387,5575,5916,7245,6806,3503,5929,3060,5834,5091,7332,3679,6598,5841,6462,5957,3561,6819,7936,6762,5836,3047,4861,7436,3938,7042,3795,6925,5052,5984,3558,7442,7686,6520,6572,2038,5930,7222,4983,6809,3980,6880,5726,5081,3790,6711,3885,7251,6032,7225,5093,3548,7689,3928,6984,5842,5816,3911,6769,5497,3064,6382,5555,2041,7280,3797,6503,6601,5937,3770,6543,3986,6931,5439,5741,3824,3940,6735,5932,6822,5604,6578,3891,6821,5550,2815,5082,7303,3886,7246,3511,6493,5958,4001,7457,7362,6389,5787,3037,5608,7253,5039,6602,3562,6810,5359,5498,7444,3695,6764,7690,5579,5742,7226,4987,7336,3743,6507,5747,5094,5557,3811,6271,7307,5500,6335,2042,4862,7267,3988,6926,6551,5938,3535,6580,3915,6770,5581,2015,7254,6715,3453,6609,5616,6825,5789,6390,3569,6851,5799,3051,4607,4002,3893,7228,6494,5844,3798,7448,4033,6743,5961,3038,6812,5749,7257,3053,3944,6934,5471,5587,7458,7697,6604,3564,5558,7692,5084,7364,3703,6393,5857,5371,5582,3801,6826,7309,5562,6717,5561,5097,7269,3772,6555,6947,5047,5589,3515,7315,3813,6933,5367,2044,5803,7344,6853,6509,6584,5962,5098,6772,3917,6833,5858,3992,6518,3454,7310,6567,6019,7698,3894,6610,5790,3007,6937,5903,3923,7489,6394,3802,6515,5969,7199,3570,6625,3952,6718,5940,7368,4989,3814,3517,6557,5848,6048,7258,3543,6747,3707,5911,6510,5487,5071,7713,4004,6021,3059,4990,5750,3759,7460,7490,6612,5805,2031,5964,7700,6799,7044,5753,5831,6949,3975,6759,5373,5811,7431,6828,3897,7317,6854,5944,51
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シーケンスグループ4: Z4_8192
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シーケンスグループ4: Q4_16384
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25,5330,9508,4671,9538,5009,3640,8660,6692,5425,2963,9748,4894,1773,4907,8847,3904,7177,9092,12362,10880,6257,1969,4475,1990,5667,8997,12560,3660,8807,11266,6298,5420,2686,6223,9479,5229,2796,1779,8876,9365,4793,2992,6413,3258,6252,8902,10291,1883,5304,9318,12448,8621,4527,3718,6722,3476,8986,10388,5654,2917,1964,8444,9321,4703,3299,6368,8565,3968,8797,2539,5657,2747,6310,9520,4585,1854,3666,6663,9040,3490,8882,10286,6696,5235,2802,13312,10315,1935,4962,3374,8905,3721,8824,4819,2906,3843,6339,10506,9512,4582,5287,3432,8674,12808,1019,3611,6414,8998,2526,5345,10513,1895,5446,7174,12576,9379,5004,3016,3183,10757,1663,5426,2431,5892,9308,4814,4909,3403,6785,8619,10344,5277,2958,9263,4572,1912,4952,9096,7185,12816,3286,10402,5776,2863,5449,9483,4935,1503,5230,12480,3381,8606,6667,5237,3024,6419,9601,5332,10293,1970,4821,8415,9762,12832,2918,6724,6435,10433,1774,4794,5291,9540,12358,3260,8855,5010,11268,6203,3521,8884,5896,2965,1993,9027,4848,9424,4964,3289,6313,8811,3480,6704,8664,10392,1532,6258,9602,12332,1885,4915,3681,6421,8647,3668,8988,10317,6300,5450,2775,9366,9369,4910,3623,9001,3722,8906,4535,2541,3301,6231,10404,9381,5025,1781,3231,7178,8913,12419,9029,3492,6341,2921,5346,11008,1994,5669,3382,8908,9322,4586,2749,6260,3613,10508,9271,5658,2979,5507,9544,4719,1021,3845,6314,9056,3682,10514,5428,10758,5336,12369,1943,4767,3729,9002,3405,10294,5536,2804,5391,9752,4835,5399,12338,3191,8798,2908,5278,2547,6205,9793,5457,10323,1899,5012,9104,7186,12361,10297,6675,5670,2779,10761,1886,4559,5792,9764,12303,3672,8914,4939,6669,3411,6786,8888,5238,2871,1782,8569,12608,9329,4477,3290,6425,8627,6422,10352,1972,5452,2970,5699,9370,12421,9295,4593,3440,6670,3724,9009,6321,5660,2922,9485,5026,9324,4917,3302,6437,8511,3463,8813,12340,2966,6532,9794,4822,2001,5057,3385,7296,9004,12311,3522,8676,11272,6235,5509,2550,9440,1947,5293,3614,8622,9382,4968,2981,6728,3406,6913,10375,9735,5241,10318,1996,9768,12422,1022,4588,3305,6342,9030,3627,10529,5673,10434,5319,3846,8859,9411,4727,3247,8680,3195,10325,5904,2791,5299,9486,4825,1785,8431,3730,6316,8570,10516,5348,2808,6264,5458,10762,1901,4796,8651,3684,8814,3413,10298,6345,5432,2929,10408,9857,4539,5824,12672,3849,8819,4837,2542,3292,6480,8629,5510,10379,1976,5294,8572,12364,12425,3386,6206,2750,10339,1519,5674,2969,5701,9739,12370,9491,4941,6426,3496,9010,2549,5513,2924,9796,5016,9507,4478,3467,6287,8653,7180,12344,10326,5403,2895,9275,12315,1727,4918,3745,7201,8688,12385,3655,8861,6247,5242,3040,6322,9385,4947,9776,5568,3427,8871,9330,4826,2495,6438,6237,9493,5473,10300,1959,4594,7233,9372,12327,8916,4976,3359,6788,3255,10520,2002,5681,3306,9033,4838,9303,4541,3197,6346,8821,3629,10329,5323,2781,1907,9413,4567,1786,4731,8543,3732,6736,8659,3688,10530,5183,10769,6467,5460,9332,1527,5028,3414,8630,3388,10764,6536,5514,2875,10436,9386,4783,1949,8929,3313,8443,12547,2982,3850,6441,8654,5647,10381,1902,5702,8634,12372,3635,8633,11280,6914,5676,2930,10341,1759,5301,2985,5415,12426,9277,4999,3011,3417,6251,8661,10387,5405,2795,9747,12433,4921,3524,6324,8439,3469,8875,10416,5352,2553,5244,9741,12549,9858,4596,7188,12317,3475,9034,2903,5325,2972,6295,9497,4942,9494,5302,3279,6353,8930,12331,2782,6428,2877,9742,5763,10382,2017,4841,7424,9393,12386,3746,9091,4922,6792,3630,10770,9509,4828,5682,3857,8862,4542,9604,5058,3504,6238,8975,6348,5406,10561,1909,5705,9307,12803,1963,5032,3429,6442,9041,3259,10271,2018,6544,5419,9800,4571,9985,4949,3308,9012,3736,10440,6752,5474,3013,9414,4963,2004,4733,8920,3696,7202,9120,12376,10330,3659,6496,1950,1788,5331,8983,12428,3852,8559,11296,6469,5521,2986,6677,10785,9388,5305,2932,1965,9093,9336,5003,2554,6299,3777,6354,8822,10532,5516,10562,5464,9417,12318,8877,3198,6449,3314,9036,10772,5706,2797,5765,12434,9552,4583,3637,8825,3470,8903,2993,5713,3014,6691,9278,4791,5655,3418,6444,8445,3528,8883,10503,6253,5360,2803,9498,13313,10389,1991,4842,7192,12359,3430,9016,4924,2907,3477,6328,10342,9359,4849,5326,3375,9094,12550,4950,3641,6678,8878,2988,5215,10345,1910,5447,7204,9319,12553,9394,4953,6681,3316,10544,1855,5684,2878,5920,9510,4600,9309,4895,3667,6259,8932,14336,5522,2959,9860,4351,1971,5060,9042,3261,7175,8567,12449,3638,10536,6311,5476,9418,5005,1531,5427,12864,3748,8636,11267,6369,5421,2919,6470,9808,5537,10403,1913,4815,8662,9539,12333,2687,6450,3433,6916,8675,10332,2008,5333,9608,12388,3778,8607,4573,11269,6301,3661,8677,10287,5688,2936,1775,9097,9513,5011,3287,6800,8987,3858,6473,8665,10507,5952,2527,6254,9986,12928,1966,3719,6261,8826,3420,8936,10625,6356,5708,2994,13314,10786,9323,4734,3491,9044,3478,9152,4844,2798,3536,6315,10564,9396,5040,5306,3752,7297,9057,12339,8885,3873,6920,3017,5766,10448,2020,5524,7234,12436,9367,4965,2556,3434,10626,9425,5347,2909,6016,9500,4587,4795,3662,6474,8989,3481,10390,5714,10393,5538,9864,12334,1995,4850,7680,12363,3642,10405,5422,2805,5769,9310,4954,9420,5891,12554,3860,9098,6370,5480,3018,6693,9514,5659,10346,1914,4574,8907,7179,9616,12561,10295,6682,6531,10568,1533,5064,5231,9824,12805,3669,8999,4479,11328,6452,3644,6360,8666,5451,2967,1973,8828,12392,9568,5006,3291,6560,8886,3383,6415,8446,10776,1997,6423,5334,9541,12450,9749,4911,3780,6302,3670,8909,10817,6481,5429,2923,9371,9426,5072,3673,6694,8767,3723,9105,12341,2910,3493,6816,10
788,9521,4966,2024,3864,7208,8990,12481,3874,9003,11273,6262,5308,2806,13316,10353,1916,5569,3683,8571,9763,5013,2996,6476,3674,6723,10394,9516,5337,10319,5528,9325,12440,1023,3482,6684,8889,3303,10509,5729,10348,5716,7236,12365,9400,4823,3760,8623,3725,10818,5671,3025,5770,9750,4589,5349,12452,3320,6533,8799,10464,5279,2971,6317,9753,5540,10406,1974,4969,8681,7298,13056,3441,10759,6265,5430,3020,10792,9331,4797,5661,12556,3262,9058,5027,6697,3436,6343,8915,5893,10435,1887,5730,8678,12562,9383,12806,3726,6928,6323,10510,1783,5777,2809,5453,9441,12342,9542,4852,11270,6372,3731,9100,6482,5239,2925,9522,4956,9988,4595,3407,6456,8910,3552,7187,9005,12371,10881,6848,9373,12345,2032,4827,3387,7181,8668,12809,3293,9048,11281,6534,5720,3000,6318,9872,9545,5459,3442,9031,9326,4919,2543,6698,3685,6725,10763,9333,5338,10515,1534,7216,9428,12400,8917,5018,3494,6537,3497,10820,5488,10531,5772,3523,8890,9387,4970,3686,6427,9106,3615,10299,5350,2751,5511,9992,5014,2003,8944,3307,6266,9060,3484,10409,5433,10800,6592,5570,13320,10354,1977,4598,3415,9011,3444,10517,6497,5662,2983,10396,9546,5029,5454,12423,3847,9006,12366,3026,3389,6705,8631,5353,10327,1787,5675,9121,12577,7182,12482,11274,6347,5894,2931,10437,1998,5295,2810,5243,9442,12373,9765,4839,6207,3294,6484,8682,10356,5778,2551,9754,12564,9603,4856,3498,6538,8815,7240,12810,10410,5732,2973,5461,9524,12346,9432,4977,3525,7425,12456,3309,8863,6671,5897,2926,6726,9632,4590,9487,5340,3631,6700,8931,9495,12427,2783,6325,6439,9374,5434,10301,1978,4798,7189,9553,12387,3905,9108,5017,11282,6429,3876,10771,9766,5544,3784,8655,4597,9888,4972,3906,6376,9035,3733,6268,10765,5515,10882,1903,9334,12374,2005,4943,3880,6349,8573,3851,10521,5793,10518,6326,5703,9548,9795,5088,3689,8689,3676,10766,6787,5475,3041,10417,9756,4543,2006,9122,3505,7300,9013,12348,10533,3792,6706,5407,10628,1951,5303,8918,12568,3888,9153,11392,6430,5354,2933,6729,10331,9605,5245,2987,5677,12377,9389,4829,3042,3908,6443,9064,10824,5780,11009,5736,9337,12578,12817,3419,6498,3969,8684,10438,5462,3028,5436,9769,12812,9415,4923,7203,12484,3315,8823,2974,5361,2812,6355,10000,5030,9395,5898,3734,6545,8921,7426,12429,10412,6329,5683,2989,9444,13328,10360,2019,4978,7194,9554,12389,3526,8892,5033,6540,3390,6488,10441,9528,5059,5465,3747,8635,12435,9920,4843,3690,6730,8933,6789,5572,10576,1789,5517,7681,9606,12464,9390,4601,3970,6737,3853,10302,1980,6679,5523,9770,4951,9797,5020,3448,6384,9037,3500,10522,14337,5327,3015,9609,4830,1911,4925,9112,3737,7248,8574,12430,3808,10383,11276,6350,5794,9499,2009,5678,12818,3639,9014,11297,6239,5905,2934,6471,10343,9338,5552,10418,2021,9043,9664,12609,2879,6708,3912,6944,8922,10534,5477,10333,5307,9569,12319,3697,8690,11329,6546,3310,9072,10884,5356,2995,5784,12488,9777,5061,3431,8934,3529,6500,8637,10442,5744,2555,6451,9419,12378,5707,3471,6445,8663,3859,8827,10832,6561,5900,2937,9279,13344,10563,9556,5034,7205,12833,3663,9124,4980,3032,3750,6357,10632,9610,4602,5825,3506,7193,8879,12580,12610,3749,6712,2799,5246,10537,2010,5362,7190,9743,12820,9798,4845,6976,3421,11010,9772,5685,2990,5518,9397,5041,9511,5062,3317,6732,9095,7304,14338,5466,10347,5576,9501,12551,1967,4851,3530,7428,9017,12437,3738,10420,6330,5478,9448,4955,9340,5525,12390,3692,8692,11284,6790,5423,3044,6548,9421,5689,10391,1915,5036,9038,7432,9398,12393,10449,6371,3435,7040,10524,2022,5364,9859,12592,3199,8937,4926,11520,6738,3263,6562,9018,10888,5715,3019,1790,8924,9778,5007,3854,6446,8638,3479,6793,9154,10334,5309,10444,6915,5686,9502,12584,9801,3508,6504,3698,9128,10538,6683,5796,2938,13315,10640,9515,4967,3643,8667,3537,9045,12451,2557,3753,6255,10848,9570,4735,5481,3318,7206,9059,12380,3779,8829,11298,6475,5826,2997,13317,10592,1535,5709,7682,12335,9427,4984,3021,3422,6358,10565,9617,5335,10773,5906,9401,12555,4575,3671,6453,9099,3740,10395,5767,10450,5468,7264,9612,12673,9560,5042,7235,12834,3862,10545,5539,3048,5526,9802,4846,9861,5584,12612,3532,6332,8679,14340,5800,2940,6593,9809,5921,10787,2012,5065,8887,7209,9751,12496,3321,10540,6361,6552,10349,9456,4604,5482,12674,3754,8938,4957,11288,6753,3645,6740,9020,5710,10424,2025,5529,8945,12438,9422,12441,3483,6695,3875,6794,9046,10774,1975,6373,5690,9311,12453,9543,4853,11300,6303,3861,9049,10777,6564,5908,2998,9780,10016,5066,3781,6454,8696,3437,7312,8991,12394,10355,3512,6685,9618,12343,2026,3700,7196,8447,12616,3761,9156,11271,6917,5717,2911,6754,13376,10407,9572,5692,3446,9101,9523,5015,2807,6801,3495,6477,10465,9517,5339,10566,5431,7237,9633,12824,8911,3538,6263,3865,10546,5828,11012,5718,7210,12865,9429,4971,3322,8669,3443,10397,5721,3056,5771,9784,4958,5541,12836,3553,6744,9107,3646,10896,5912,10569,6483,5922,10048,13321,10350,1917,4854,7684,12401,3485,10357,6362,5731,2558,10452,9804,5044,5722,12442,3675,8830,12367,6512,3438,6796,8940,5530,10411,1999,5351,9136,12557,7217,9402,12396,11393,6374,6535,11016,1918,5808,3027,5773,9862,12866,9620,5073,11330,6457,3540,6594,9061,14344,5368,3001,9443,12512,10112,5019,3727,6686,8683,3972,7242,8891,12454,10570,6478,5489,9810,12807,9634,5068,3877,7440,12840,3687,8946,11776,6377,5310,2811,6699,9518,9865,5484,3756,6918,9050,9987,12483,3022,6319,3782,6267,10466,9576,5774,10789,2033,7328,9755,12558,3501,8670,4857,11275,6802,3866,10778,13318,10627,5779,3324,9160,9327,4973,3445,6756,8575,3677,6485,10548,5455,10456,5600,9547,12929,1979,3920,6921,9102,3762,10656,5435,10511,6364,5341,13329,10519,9430,5048,3785,9007,3704,10398,6458,5490,3002,10577,9525,4591,5733,12811,3554,7688,9168,12563,10790,3878,6568,5542,10912,2028,5545,9062,12868,7456,12579,11304,6539,5571,2927,10358,9404,5734,3029,5663,12347,9665,4799,6817,3499,6727,9109,10572,5355,10819,5532,9433,12457,9624,12848,3976,6499,7696,12402,10780,5463,3030,5492,9825,12565,9812,5031,11332,7360,12444,3486,8919,6431,5895,2975,6327,9767,5074,9866,5437,3295,6378,8685,7712,9445,12375,10629,6269,6701,9375,13322,10413,2034,4979,7238,9636,12485,3735,9065,4858,11394,6804,3764,6760,10361,9526,5342,3907,8893,12404,9757,4599,3691,6486,9123,3544,6460,10793,5546,10439,1981,7212,9989,12458,9826,5021,3527,6385,3868,11024,5573,10419,6922,5357,9873,9549,4974,3881,6707,8948,3786,10468,14352,5679,3043,10578,9335,4831,2007,9052,3793,7299,8691,12349,3909,10552,11283,6489,5953,13330,10944,1982,5924,12819,3788,8923,11277,6596,5832,2813,6541,10630,9816,5954,10414,5781,12813,9555,12930,3004,3936,6547,9015,10794,5928,10821,5899,9434,12569,7249,12566,11312,6351,3882,9114,10633,5737,2935,5724,9584,12814,9868,5089,7218,12465,3678,6818,9066,10523,5553,3033,6702,9446,12581,9607,5840,3984,6929,9110,7241,12676,10362,6576,5936,3045,9529,13440,10688,9666,4981,7183,12379,3794,8694,5035,6501,3768,6331,10593,9758,5090,5956,3449,7488,9125,12872,9550,13057,3507,6380,6808,5467,10801,2011,6017,7301,9449,12486,9771,5076,11278,6768,3889,10443,9990,6731,5363,9391,5022,9339,4860,3391,6924,8935,3693,7220,10303,14368,5782,10580,9874,12460,2036,5037,3884,7191,8952,12408,3556,10634,11336,6849,5574,9828,9557,5438,12489,3502,9073,11521,6270,5795,3034,6386,10767,9993,5738,10822,2023,8686,7302,9436,12624,10796,6709,3910,6542,10421,6018,10535,5901,9530,12350,3739,8894,11285,6490,3560,6600,9113,10525,5496,2991,5548,12570,9640,5063,3311,8693,3450,6502,9068,10472,5785,10364,6549,5856,9611,12431,13324,3531,6447,3694,9039,10445,6713,5687,2939,9889,13345,10422,9799,4982,7552,12391,3699,9184,12466,3046,3509,6388,10883,9571,4927,5960,3452,7244,8639,12582,7305,12381,11396,6739,5745,2814,13377,10802,2040,5358,7250,9503,12932,9399,5043,6333,3890,6710,10526,9450,5479,10825,5577,9341,12490,9773,4603,3533,6820,8925,7224,14339,5519,10539,5907,7195,9876,12880,9832,4985,3568,7265,12611,3741,10594,6505,5711,9558,5080,9532,5798,12680,3751,6850,9019,11299,14341,5554,2559,6733,9457,5797,10451,1791,4847,9126,7207,9994,12585,3796,10641,6359,11522,6930,10425,9779,5469,13058,3913,9074,5038,11290,6791,3701,6492,9129,10636,5365,10584,2013,9155,9561,12395,3423,6563,3539,6550,8939,10826,5578,10885,6608,5786,9668,12468,9613,11777,6824,3510,8697,10833,6945,5740,3036,13332,10775,9619,5092,3809,9047,3323,7427,9116,12439,10480,3534,6506,9423,12497,5483,3514,7252,8926,12572,3513,9021,11344,6734,5247,3049,6553,13568,10446,9890,5311,7306,12936,9774,5067,2999,3541,6714,10335,10001,5902,10567,5527,7313,9648,12382,12492,3319,6932,3755,10804,5556,11040,5746,7429,9573,12586,9403,4986,7197,12688,3914,10642,5691,3050,5585,9452,4605,9880,5801,12896,3810,6741,9157,7211,14400,5366,10596,6716,5827,9840,13346,10547,2027,5045,7266,9803,12640,3971,10541,6363,6455,10657,9996,5069,5470,12613,3742,9130,12821,11301,6852,3855,6742,9076,5719,10453,2014,5788,8698,12443,7683,9921,12498,11289,6745,3921,6795,10808,2029,6565,5910,9342,12593,9458,5096,11286,6936,3892,6946,8941,11072,14345,5580,2941,9781,9614,4988,3800,6755,9137,4000,7256,9158,12835,10828,11400,6746,5369,9562,12588,9672,3863,7308,12397,3439,8947,11524,6554,5802,3023,6375,13336,10426,9574,5693,3973,9051,9621,12472,2942,6832,3702,6797,10886,9519,5531,10644,5923,7198,9785,12822,3757,9132,11528,6392,3916,10467,13348,11136,5909,7314,12825,9460,5046,3705,9022,3783,6513,10834,5829,10658,5485,9811,12403,5560,3325,6334,9103,3763,10542,5748,10889,6508,5809,9405,13319,11011,9782,4959,7239,12455,3896,10600,6798,5494,3057,10779,9892,4855,5543,12513,3974,7430,9063,12614,14342,3758,6803,5586,10351,1983,5913,8831,12594,7433,9577,13060,11302,6479,6624,10571,9922,5370,3003,5491,12445,9805,5104,11778,6459,3812,6365,9080,14353,5601,10454,5694,9431,12944,10002,12617,3922,6514,3447,7329,8671,12398,10549,6757,5533,9863,12405,9564,4606,11360,7744,12500,3516,9138,11331,6566,5723,3052,6569,9635,9622,5486,3542,6595,8942,7213,9680,12459,10428,6758,3555,6687,9896,13441,10689,2035,7268,10017,13064,3487,9161,5075,11305,6379,3557,6556,10457,13378,10648,5588,3977,8700,9578,5049,3867,6487,9053,3545,6516,10849,5775,10836,6020,7808,9806,12618,9625,3706,6919,3816,10791,5925,10890,6461,5735,13824,10469,9786,4859,3924,8949,4032,10399,14346,5804,3058,10660,10004,5070,5830,12514,3937,7219,9162,12837,3765,10550,11408,6366,5549,13323,10781,2037,5914,12826,7316,12675,11292,6570,5372,3005,11013,9813,5493,10850,5725,12596,9788,12504,6597,3869,6381,9111,10897,5968,10573,5810,9435,12704,7214,9527,12559,11333,6703,7243,12567,10359,5833,3031,5752,9924,12446,9814,5050,11306,7434,12625,3978,6977,9067,14354,5602,300
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シーケンスグループ4: Z4_16384
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シーケンスグループ5: Q5_2048
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シーケンスグループ5: Z5_2048
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シーケンスグループ5: Q5_4096
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シーケンスグループ5: Z5_4096
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シーケンスグループ5: Q5_8192
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2876,1976,4893,2801,6294,3658,6297,5321,2902,1015,3285,6309,3374,5700,2905,5667,5002,3416,3257,2552,5348,2847,6250,4811,5237,3403,6199,2303,6472,3012,5426,1751,4903,7232,3290,4570,2957,3721,4732,5275,3607,4790,4350,3357,6680,2767,5646,1993,5
761,1503,4813,6721,3191,1962,5167,2525,5411,4671,5009,3665,6692,5536,2963,4894,1781,4907,3496,7178,6257,1885,4475,1908,5304,3428,6298,5449,2686,6223,5287,2796,2016,4793,2992,6413,3776,6252,1854,5660,4527,3379,6722,3275,5238,2917,1532,4703,3640,6368,3476,2539,5324,2747,6310,4585,1972,3301,6663,3399,6696,5420,2802,1774,4962,3231,3613,4819,2906,3666,6339,4582,5669,3465,1019,3524,6414,2526,5277,1895,5330,7185,5004,3016,3308,1987,5889,2431,5657,4814,4909,3260,6785,5460,2958,4572,1969,4952,7180,3849,5213,2863,5507,4935,1782,5425,3627,6667,5391,3024,6419,5242,1279,4821,2918,6724,6435,1943,4794,5568,3732,5010,6203,3681,5345,2965,1899,4848,4964,3385,6313,3289,6704,1994,6258,1663,4915,3654,6421,3872,6300,5445,2775,4910,3198,3490,4535,2541,3405,6231,5025,1964,3299,7296,3724,6341,2921,5293,1785,5674,3432,4586,2749,6260,3614,5235,2979,5776,4719,1021,3371,6314,3846,5728,5432,1935,4767,3413,3521,5294,2804,5458,4835,5699,3382,2908,5653,2547,6205,5509,1886,5012,7186,6675,5399,2779,2001,4559,5332,3696,4939,6669,3286,6786,5231,2871,1407,4477,3623,6425,6422,1779,5768,2970,5450,4593,3247,6670,3722,6321,5682,2922,5026,4917,3480,6437,3469,2966,6532,4822,1990,5057,3684,7201,3302,6235,5299,2550,1970,5278,3843,4968,2981,6728,3414,6913,5514,1879,1022,4588,3386,6342,3730,5346,5428,3635,4727,3259,3536,5670,2791,5319,4825,1902,3406,6316,5241,2808,6264,5701,1947,4796,3292,3629,6345,5892,2929,4539,5403,3195,4837,2542,3427,6480,5474,1759,5658,3320,6206,2750,1907,5452,2969,5301,4941,6426,3672,2549,5415,2924,5016,4478,3463,6287,7173,5681,2895,1527,4918,3904,7188,3492,6247,5521,3040,6322,4947,5325,3745,4826,2495,6438,6237,5705,1996,4594,7202,4976,3655,6788,3484,1786,5352,3417,4838,4541,3305,6346,3752,5488,2781,1959,4567,2002,4731,3845,6736,3717,5244,6467,5792,1913,5028,3388,3279,6536,5676,2875,4783,1949,3638,2982,3682,6441,5306,2017,5516,3522,6914,5708,2930,1534,5421,2985,5896,4999,3011,3467,6251,5230,2795,4921,3313,6324,3167,5331,2553,5457,4596,7424,3429,2903,5673,2972,6295,4942,5766,3858,6353,2782,6428,2877,5291,1788,4841,7171,3611,4922,6792,3261,4828,5360,3659,4542,5058,3411,6238,6348,5522,1910,5716,1965,5032,3478,6442,3306,2004,6544,5473,4571,4949,3736,3434,6752,5406,3013,4963,1901,4733,3662,7233,3778,6496,1966,1775,5647,3287,6469,5326,2986,6677,5510,2932,2008,5003,2554,6299,3375,6354,5302,5763,3637,6449,3852,5684,2797,5429,4583,3418,3688,2993,5904,3014,6691,4791,5537,3504,6444,3729,6253,5183,2803,1531,4842,7192,3314,4924,2907,3475,6328,4849,5706,3641,4950,3436,6678,2988,5333,1971,5422,7204,4953,6681,3262,1950,5464,2878,5305,4600,4895,3857,6259,5451,2959,4351,1909,5060,3669,7234,3630,6311,5338,5005,1991,5769,3880,6369,5655,2919,6470,5405,2018,4815,2687,6450,3528,6916,1727,5239,3746,4573,6301,3383,5713,2936,1916,5011,3420,6800,3293,6473,5544,2527,6254,1855,3470,6261,3316,6356,5476,2994,4734,3780,3725,4844,2798,3850,6315,5040,5824,3674,7182,3441,6920,3017,5427,1974,5323,7208,4965,2556,3661,5688,2909,5524,4587,4795,3494,6474,3905,5349,5447,1995,4850,7297,3387,5279,2805,5661,4954,5714,3430,6370,5513,3018,6693,5572,2020,4574,7187,6682,6531,1977,5064,5356,3748,4479,6452,3291,6360,5308,2967,1787,5006,3642,6560,3481,6415,1914,6423,5897,4911,3874,6302,3552,6481,5675,2923,5072,3683,6694,3307,2910,3968,6816,4966,2005,3723,7236,3493,6262,5780,2806,1887,5729,3197,5013,2996,6476,3407,6723,5433,5337,1023,3864,6684,3644,5702,5920,7216,4823,3719,3760,5246,3025,5538,4589,5453,3433,6533,5347,2971,6317,5772,1963,4969,7181,3670,6265,5480,3020,4797,5662,3482,5027,6697,3359,6343,5419,1998,5894,3777,6928,6323,1783,5461,2809,5569,4852,6372,3444,6482,5430,2925,4956,4595,3255,6456,3523,7680,6848,2024,4827,3497,7298,3860,6534,5744,3000,6318,5334,3734,4919,2543,6698,3310,6725,5671,1980,7190,5018,3692,6537,3667,5295,5770,3389,4970,3477,6427,3873,5528,2751,5517,5014,1903,3419,6266,3686,5732,6592,5350,1973,4598,3615,3784,6497,5891,2983,5029,5462,3733,3026,3673,6705,5434,2003,5778,7240,6347,5683,2931,1789,5307,2810,5584,4839,6207,3294,6484,5454,2551,4856,3506,6538,7193,5340,2973,5677,4977,3442,7425,3317,6671,5243,2926,6726,4590,5475,3526,6700,2783,6325,6439,5368,1997,4798,7203,3847,5017,6429,3726,5720,3908,4597,4972,3491,6376,3685,6268,5511,2032,1978,4943,3529,6349,3421,5952,6326,5540,5088,3747,3303,6787,5793,3041,4543,1917,3639,7300,3876,6706,5703,2010,5532,3500,6430,5465,2933,6729,5353,2987,5800,4829,3042,3448,6443,5893,5765,3792,6498,3704,5436,3028,5327,4923,7189,3737,2974,5686,2812,6355,5030,5730,3318,6545,7248,6329,5570,2989,1519,4978,7205,3676,5033,6540,3415,6488,5059,5515,3853,4843,3505,6730,6789,5361,2019,5215,7426,4601,3969,6737,3631,2006,6679,5477,4951,5020,3435,6384,3690,5906,3015,4830,1951,4925,3315,7194,3532,6350,5659,1911,5309,3498,6239,5707,2934,6471,5459,2021,2879,6708,3731,6944,5526,5354,3390,6546,3859,5784,2995,5482,5061,3753,3479,6500,5710,2555,6451,5826,3309,6445,3888,6561,5335,2937,5034,7304,3698,4980,3032,3808,6357,4602,5423,3538,7210,3663,6712,2799,5685,2009,5900,7264,4845,6976,3750,5466,2990,5736,5041,5062,3906,6732,7179,5552,5777,1790,4851,3471,7681,3508,6330,5362,4955,5523,3431,6790,5689,3044,6548,5484,2026,5036,7235,6371,3740,7040,1975,5310,3689,4926,6738,3862,6562,5905,3019,2012,5007,3525,6446,3321,6793,5717,6915,5678,3560,6504,3781,6683,5928,2938,4967,3646,3422,2557,3854,6255,4735,5576,3970,7196,3697,6475,5794,2997,1967,5431,7312,4984,3021,3445,6358,5468,5341,4575,3537,6453,3756,5518,5364,7206,5042,7428,3675,5828,3048,5773,4846,5898,3738,6332,5722,2940,6593,5489,1915,5065,7217,3322,6361,6552,4604,5709,3486,4957,6753,3865,6740,5542,2025,5953,3438,6695,3512,6794,2022,6373,5435,4853,6303,3916,6564,5478,2998,5066,3199,6454,3779,7237,3554,6685,1981,3875,7432,3645,6917,5796,2911,6754,5339,3499,5015,2807,6801,3912,6477,5690,5529,7209,3762,6263,3749,5922,5600,7242,4971,3443,3851,5731,3056,5355,4958,6016,3671,6744,3530,5771,6483,5541,1918,4854,7328,3324,6362,5245,2558,5044,5455,3483,6512,3700,6796,5912,2033,5692,7175,6374,6535,1999,5767,3027,5808,5073,6457,3540,6594,5481,3001,5019,3976,6686,3877,7682,6478,5718,5068,3437,7220,3786,6377,5530,2811,6699,5407,3920,6918,3022,6319,3501,6267,5825,2028,7299,3691,4857,6802,3761,5492,3866,4973,3263,6756,3450,6485,5303,5571,1533,3677,6921,3568,5545,6364,5908,5048,3878,3739,6458,5782,3002,4591,5358,3507,7249,3782,6568,5740,2011,5715,7212,6539,5437,2927,5525,3029,5921,4799,6817,3553,6727,5467,5734,3754,6499,7440,5663,3030,5832,5031,7238,3972,6431,5781,2975,6327,5074,5721,3881,6378,7195,6269,6701,1982,4979,7360,3687,4858,6804,3495,6760,5342,3794,4599,3391,6486,3727,6460,5554,2034,7301,5021,3868,6385,3809,5490,6922,5365,4974,3527,6707,3323,5574,3043,4831,1979,3788,7218,3449,6489,5895,2023,5774,3936,6596,5956,2813,6541,5539,5733,3004,3544,6547,5577,5469,7256,6351,3909,5795,2935,5351,5089,7684,3485,6818,5687,3033,6702,5924,3768,6929,7244,6576,5548,3045,4981,7183,3678,5035,6501,3861,6331,5090,5496,3510,7306,3446,6380,6808,5840,2013,5752,7456,5076,6768,3693,6731,5785,5022,4860,3896,6924,3735,7224,5366,2036,5037,3295,7266,3764,6849,5724,5463,3984,6270,5901,3034,6386,5553,2007,7207,6709,3531,6542,6017,5679,3699,6490,3793,6600,5483,2991,5738,5063,3907,3556,6502,5363,6549,5580,3882,6447,3502,6713,5546,2939,4982,7688,3889,3046,3643,6388,4927,5779,3326,7302,7241,6739,5438,2814,2030,5907,7427,5043,6333,3513,6710,5801,5527,4603,3757,6820,7313,5357,5936,7198,4985,3812,7252,3694,6505,5746,5080,5856,3785,6850,5586,2559,6733,5711,2014,4847,7488,3533,6359,6930,5798,3452,5038,6791,3741,6492,5954,2040,3914,6563,4000,6550,5519,6608,5556,6824,3539,6945,5479,3036,5092,3705,3800,7213,3855,6506,5788,3447,7308,3892,6734,5737,3049,6553,5910,7430,5067,2999,3702,6714,5573,5369,7265,3974,6932,3755,5608,5829,7696,4986,7250,3439,5694,3050,5470,4605,5902,3516,6741,7219,6018,6716,5745,1535,5045,7330,3884,6363,6455,5069,5493,3542,6852,3921,6742,5585,2027,5804,7433,6745,3319,6795,2029,6565,5723,5096,6936,3742,6946,5786,2941,4988,3971,6755,3509,7191,6746,5370,3796,7316,3763,6554,5534,3023,6375,5913,3910,2942,6832,3863,6797,5486,5560,7272,3545,6392,3701,5964,7214,5046,3558,3810,6513,5247,5827,5602,3890,6334,3423,5923,6508,5693,4959,7712,3751,6798,5547,3057,4855,5960,3514,7239,3922,6803,5810,2035,5797,7305,6479,6624,5491,3003,5899,5104,6459,3787,6365,5719,5578,3534,6514,3978,7429,6757,5372,4606,7552,3937,6566,5531,3052,6569,5748,3706,6595,7221,6758,3869,6687,2037,7442,3766,5075,6379,3977,6556,5588,3647,5049,3555,6487,3824,6516,6024,5925,7329,3453,6919,3783,5485,6461,5834,4859,3879,3541,5968,3058,5070,5549,4032,7683,3503,6366,5739,1791,5809,7243,6570,5914,3005,5311,5498,6597,3913,6381,5725,5616,7268,6703,7314,5926,3031,5787,5050,7436,3758,6977,5555,3006,6948,5830,3562,6856,7226,6978,6805,4975,7197,3924,5077,6952,3816,6923,5601,3769,7361,3986,6761,3708,6748,5802,2038,7685,5078,6577,3548,6864,6020,5023,3451,6960,3940,7245,5929,2041,3867,7320,3789,6980,5735,5543,3564,6491,5842,3035,7041,5439,5775,7280,3980,6387,5916,5857,7441,6806,3511,5575,3060,5371,5091,7744,3891,6598,5836,6462,5497,3797,6819,7254,6762,5984,3047,4861,7225,3886,7042,3325,6925,5052,5592,3695,7458,7364,6520,6572,1919,5957,7690,4983,6809,3973,6880,5533,5081,3546,6711,3790,7251,5816,7336,5093,3561,7222,3928,6984,5726,5909,3765,6769,5558,3064,6382,5494,2042,7303,4001,6503,6601,5741,3885,6543,3915,6931,5944,5783,3679,3517,6735,5343,6822,5812,6578,3795,6821,6032,2815,5082,7434,3952,7686,3772,6493,5579,3572,7444,7246,6389,5747,3037,5841,7332,5039,6602,3454,6810,5955,5604,7257,3802,6764,7697,5930,5550,7307,4987,7457,3870,6507,5937,5094,5691,3883,6271,7211,5374,6335,2039,4862,7269,3547,6926,6551,5561,3992,6580,3911,6770,5805,2044,7362,6715,3938,6609,5860,6825,5742,6390,3515,6851,5833,3051,4607,3570,3811,7490,6494,5581,3743,7228,3898,6743,5500,3038,6812,5789,7692,3053,3985,6934,5962,6048,7309,7464,6604,3770,5587,7267,5084,7344,3893,6393,5753,5848,5903,3543,6826,7808,5495,6717,5940,5097,7315,3703,6555,6947,5047,5750,3813,7260,4004,6933,6022,2043,5803,7448,6853,6509,6584,5487,5098,6772,3535,6833,5564,3798,6518,3917,7368,6567,5932,7700,3569,6610,5590,3007,6937,5969,3944,7274,6394,3311,6515,5367,7318,3988,6625,3818,6718,5790,7492,4989,3925,3557,6557,6019,5557,7253,3759,6747,3804,5844,6510,5811,5071,7689,3894,5958,3059,4990,5911,4008,7431,7199,6612,5593,2031,5749,7714,6799,7044,5606,5858,6949,3832,6759,5938,5471,7310,6828,3918,7553,6854,5799,51
05,7331,3710,6573,5562,3061,6938,5970,4033,6396,7258,6517,6749,7376,3801,5051,6992,3975,6834,5835,3576,3897,6857,3930,6776,5582,6026,7460,6626,3814,6950,5985,5100,3559,4002,7276,5754,5917,3767,7227,3825,6571,5814,6025,7321,7048,5695,2943,5603,5872,7713,3487,6558,5501,5831,7435,6367,7270,5927,3054,5589,5106,7698,3926,6807,6080,6836,5551,3939,6979,7472,6763,6616,5053,7281,3987,6599,3709,6940,5961,3550,7333,7745,6953,4034,6858,1983,7392,5079,6865,3900,6981,5806,5054,3982,6860,3771,7230,5610,7446,3820,7496,3563,7008,5972,5864,3945,5817,3062,6954,6034,5756,7317,3518,6750,5596,7338,7056,3791,5499,5988,7247,3979,6866,5915,6840,5837,6521,7568,6579,5612,3065,5083,7437,4016,7704,3929,6961,6028,3942,7273,7936,6463,6765,5559,7324,5108,6956,3817,6628,5939,7489,3565,6574,3826,7716,5845,7282,5095,7443,3989,6982,5934,5373,3871,6811,7363,5743,6632,2046,7255,3707,6383,6522,6021,4040,6603,3923,6766,5594,5838,7554,3803,6771,5609,6581,5976,6524,3549,5813,3066,5112,7345,3948,7752,6962,6049,3773,7322,7438,6605,5933,3039,5963,7687,6640,3981,6813,5727,5565,7334,7461,6823,7284,5843,7223,4863,7365,3887,6868,6000,5820,3573,6985,7449,5620,6773,5085,7728,4003,6495,6611,5502,4036,7504,3932,6582,5850,2047,7259,6881,6395,6606,5918,6586,3774,6585,5931,3996,3828,7810,6613,5595,7693,3566,6391,6040,3068,6827,5959,7340,7370,3815,6986,5986,7556,7271,6882,3953,5563,7288,5099,7452,3899,7043,5618,5859,7746,3941,6814,7462,5791,6927,5946,5086,7229,3993,6993,5101,6033,3805,7699,7337,6964,2015,5818,7720,6872,7072,5941,6935,3578,6511,5591,7520,7045,4006,7377,6774,5751,7465,3519,6829,5861,3055,6988,6052,4048,7348,6777,6855,7262,3895,6397,3946,6835,5583,7445,3571,3990,6968,5846,5965,7319,7046,4009,6830,5617,5055,7812,3919,7366,5992,5359,3819,7560,7277,6884,6036,5866,7491,6994,6519,5973,5605,7702,3577,6588,5807,5852,7450,6614,7311,6627,5942,5107,7691,3960,6559,6056,6629,3806,7049,7346,6939,6617,7384,4037,6778,3994,6888,5880,3574,7760,6996,3954,7104,5966,7466,7009,3931,6837,5758,5109,3821,4005,7275,6081,7938,3901,7494,4024,6941,5849,6023,7369,5624,3063,5945,5978,7748,7715,7050,5862,7396,6859,7285,5607,6050,7474,3799,6951,5815,6618,5873,6780,7323,6838,6398,4991,7694,4041,7809,3551,6861,5535,4010,7215,7459,6719,7057,7584,5102,6942,3829,6955,5974,3933,6523,3956,7352,5987,7497,7335,4064,6841,6035,5757,3902,7708,5598,6575,6082,7286,3580,6751,5948,7372,6633,4020,6030,5819,7468,3822,7010,5868,6867,5611,6630,7717,5993,3067,5110,7325,3943,7378,7052,5566,4035,7937,7705,6862,6957,5839,7508,6620,4017,7000,6027,7261,7555,6983,3830,7473,7439,5113,7290,3327,6869,6064,5977,3991,6842,7616,5990,7058,7393,3947,6896,7012,5865,4042,3711,6963,5613,5874,7493,6958,6583,6037,7073,4012,5919,7341,3833,7722,6634,5755,7283,7824,6767,6088,3069,5971,7776,7480,3983,6815,5851,7342,7506,6883,7747,5597,7701,5114,7557,3934,7060,5996,7447,4049,6607,7380,5821,6987,5087,7279,3455,6525,6029,3827,7816,7498,6641,2045,7730,7074,6965,5935,6870,4038,7105,5621,7347,4018,7326,7016,6051,7562,3927,6084,3070,6636,5980,7394,7476,6775,7718,7367,6873,3950,5822,7289,7749,3995,6844,6044,5876,7940,6587,7451,6885,5614,5116,7522,3807,7706,5863,3955,7500,7349,6989,6001,7463,7064,6526,5947,7729,3575,6966,5989,7569,6995,7373,6874,6041,7753,4044,6642,5853,7024,3834,7400,6886,6589,7536,4007,6615,4050,6779,5626,7292,7840,3961,7076,6054,7724,6831,3997,5567,5103,7354,4065,7564,6096,7756,3582,7469,7944,7047,5943,5994,7278,6969,5619,6038,7379,7505,6644,6057,7721,6990,7814,5967,7339,3836,6889,5867,6970,6876,7408,6590,7106,7570,3958,7764,4013,7080,5625,4052,7521,6619,6997,7454,7011,3949,6781,6008,4014,3823,7695,5854,7374,7558,4056,7051,6085,6042,7350,7811,5622,6002,7732,7477,6631,5979,7952,6839,7585,5869,6053,7231,3579,6890,5949,6972,6072,6897,7754,6998,5111,7381,4019,7470,7001,3998,7512,7353,6648,6943,7499,6399,3957,7108,5847,7386,7053,4039,7817,7703,7453,4066,6863,6089,5599,3775,7287,6058,6621,7761,3964,7059,5877,7592,3903,5981,6004,7524,6782,6892,6112,7088,7872,5950,7475,4022,7371,7013,5628,7736,7572,6635,6843,6068,7397,7495,4043,6898,5870,7327,7709,7002,7762,7561,5115,7620,4068,6622,5991,4025,7112,7404,6083,6527,7356,3835,7054,6065,3962,7945,6959,5878,7723,7120,5375,7014,4053,6039,7828,3935,7777,7061,5995,7481,7385,6090,3071,5759,7750,7968,6871,7294,7586,6637,7501,6060,7395,7820,4011,7017,5881,7528,6845,7710,7075,5117,7467,4046,7942,6031,3831,7509,7617,6900,7478,7004,6643,5982,4072,6875,6097,7792,7382,6967,5503,7719,4028,5875,7066,7343,7818,7018,7576,7565,7062,3951,6086,7780,7398,4021,6646,6066,7939,7077,7510,5975,5118,7482,4051,7826,7731,3837,7355,7632,6887,5998,7502,6904,6043,7388,7725,7025,7291,6638,7523,5855,7416,4045,6846,6003,7065,7768,6645,7020,7559,4080,4026,6991,5623,8000,7588,7136,7841,6591,3965,6092,7751,4058,7580,5882,7513,7401,7848,6877,6055,6098,7941,7813,6009,7484,7375,6971,6045,7734,7078,7778,6113,7618,3567,7026,5630,7081,7107,7563,6891,7409,4067,7263,6649,4054,7525,6999,7068,7954,6878,3999,6973,5884,7707,3959,7357,7755,7507,4069,6006,6061,7574,7402,6100,7832,7530,7109,5997,7758,7874,6062,5871,7383,7082,70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シーケンスグループ5: Z5_8192
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シーケンスグループ5: Q5_16384
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25,5411,9479,4671,9247,5009,3665,8660,6692,5536,2963,9762,4894,1781,4907,8847,3496,7178,9092,12362,10880,6257,1885,4475,1908,5304,8997,12560,3428,8807,11265,6298,5449,2686,6223,9358,5287,2796,2016,8876,9601,4793,2992,6413,3776,6252,8902,10291,1854,5660,9379,12448,8621,4527,3379,6722,3275,8986,10388,5238,2917,1532,8444,9306,4703,3640,6368,8565,3476,8797,2539,5324,2747,6310,9424,4585,1972,3301,6663,9040,3399,8882,10286,6696,5420,2802,13314,10315,1774,4962,3231,8905,3613,8824,4819,2906,3666,6339,10506,9508,4582,5669,3465,8674,12808,1019,3524,6414,8998,2526,5277,10513,1895,5330,7185,12576,9324,5004,3016,3308,10757,1987,5889,2431,5657,9275,4814,4909,3260,6785,8619,10344,5460,2958,9369,4572,1969,4952,9096,7180,12816,3849,10402,5213,2863,5507,9761,4935,1782,5425,12480,3627,8606,6667,5391,3024,6419,9483,5242,10293,1279,4821,8415,9318,12832,2918,6724,6435,10433,1943,4794,5568,9746,12358,3732,8855,5010,11272,6203,3681,8884,5345,2965,1899,9027,4848,9520,4964,3385,6313,8811,3289,6704,8664,10392,1994,6258,9329,12332,1663,4915,3654,6421,8647,3872,8988,10317,6300,5445,2775,9381,9793,4910,3198,9001,3490,8906,4535,2541,3405,6231,10404,9440,5025,1964,3299,7296,8913,12419,9029,3724,6341,2921,5293,11008,1785,5674,3432,8908,9278,4586,2749,6260,3614,10508,9494,5235,2979,5776,9544,4719,1021,3371,6314,9056,3846,10514,5728,10758,5432,12369,1935,4767,3413,9002,3521,10294,5294,2804,5458,9365,4835,5699,12338,3382,8798,2908,5653,2547,6205,9386,5509,10323,1886,5012,9104,7186,12361,10297,6675,5399,2779,10761,2001,4559,5332,9295,12303,3696,8914,4939,6669,3286,6786,8888,5231,2871,1407,8569,12608,9616,4477,3623,6425,8627,6422,10352,1779,5768,2970,5450,9485,12421,9752,4593,3247,6670,3722,9009,6321,5682,2922,9321,5026,9984,4917,3480,6437,8511,3469,8813,12340,2966,6532,9372,4822,1990,5057,3684,7201,9004,12311,3302,8676,11264,6235,5299,2550,9537,1970,5278,3843,8622,9764,4968,2981,6728,3414,6913,10375,9330,5514,10318,1879,9491,12422,1022,4588,3386,6342,9030,3730,10529,5346,10434,5428,3635,8859,9411,4727,3259,8680,3536,10325,5670,2791,5319,9303,4825,1902,8431,3406,6316,8570,10516,5241,2808,6264,5701,10762,1947,4796,8651,3292,8814,3629,10298,6345,5892,2929,10408,9602,4539,5403,12672,3195,8819,4837,2542,3427,6480,8629,5474,10379,1759,5658,8572,12364,12425,3320,6206,2750,10339,1907,5452,2969,5301,9393,12370,9800,4941,6426,3672,9010,2549,5415,2924,9370,5016,9486,4478,3463,6287,8653,7173,12344,10326,5681,2895,9735,12315,1527,4918,3904,7188,8688,12385,3492,8861,6247,5521,3040,6322,9382,4947,9509,5325,3745,8871,9332,4826,2495,6438,6237,9271,5705,10300,1996,4594,7202,9413,12327,8916,4976,3655,6788,3484,10520,1786,5352,3417,9033,4838,9497,4541,3305,6346,8821,3752,10329,5488,2781,1959,9776,4567,2002,4731,8543,3845,6736,8659,3717,10530,5244,10769,6467,5792,9552,1913,5028,3388,8630,3279,10764,6536,5676,2875,10436,9307,4783,1949,8929,3638,8443,12547,2982,3682,6441,8654,5306,10381,2017,5516,8634,12372,3522,8633,11280,6914,5708,2930,10341,1534,5421,2985,5896,12426,9858,4999,3011,3467,6251,8661,10387,5230,2795,9741,12433,4921,3313,6324,8439,3167,8875,10416,5331,2553,5457,9388,12549,9418,4596,7424,12317,3429,9034,2903,5673,2972,6295,9604,4942,9319,5766,3858,6353,8930,12331,2782,6428,2877,9336,5291,10382,1788,4841,7171,9500,12386,3611,9091,4922,6792,3261,10770,9794,4828,5360,3659,8862,4542,9510,5058,3411,6238,8975,6348,5522,10561,1910,5716,9277,12803,1965,5032,3478,6442,9041,3306,10271,2004,6544,5473,9747,4571,9385,4949,3736,9012,3434,10440,6752,5406,3013,9768,4963,1901,4733,8920,3662,7233,9120,12376,10330,3778,6496,1966,1775,5647,8983,12428,3287,8559,11296,6469,5326,2986,6677,10785,9568,5510,2932,2008,9093,9425,5003,2554,6299,3375,6354,8822,10532,5302,10562,5763,9513,12318,8877,3637,6449,3852,9036,10772,5684,2797,5429,12434,9396,4583,3418,8825,3688,8903,2993,5904,3014,6691,9310,4791,5537,3504,6444,8445,3729,8883,10503,6253,5183,2803,9493,13316,10389,1531,4842,7192,12359,3314,9016,4924,2907,3475,6328,10342,9367,4849,5706,3641,9094,12550,4950,3436,6678,8878,2988,5333,10345,1971,5422,7204,9860,12553,9414,4953,6681,3262,10544,1950,5464,2878,5305,9608,4600,9325,4895,3857,6259,8932,14336,5451,2959,9539,4351,1909,5060,9042,3669,7234,8567,12449,3630,10536,6311,5338,9750,5005,1991,5769,12864,3880,8636,11270,6369,5655,2919,6470,9498,5405,10403,2018,4815,8662,9359,12333,2687,6450,3528,6916,8675,10332,1727,5239,9739,12388,3746,8607,4573,11273,6301,3383,8677,10287,5713,2936,1916,9097,9394,5011,3420,6800,8987,3293,6473,8665,10507,5544,2527,6254,9432,12928,1855,3470,6261,8826,3316,8936,10625,6356,5476,2994,13313,10786,9808,4734,3780,9044,3725,9152,4844,2798,3850,6315,10564,9514,5040,5824,3674,7182,9057,12339,8885,3441,6920,3017,5427,10448,1974,5323,7208,12436,9323,4965,2556,3661,10626,9986,5688,2909,5524,9542,4587,4795,3494,6474,8989,3905,10390,5349,10393,5447,9417,12334,1995,4850,7297,12363,3387,10405,5279,2805,5661,9796,4954,9763,5714,12554,3430,9098,6370,5513,3018,6693,9444,5572,10346,2020,4574,8907,7187,9333,12561,10295,6682,6531,10568,1977,5064,5356,9522,12805,3748,8999,4479,11328,6452,3291,6360,8666,5308,2967,1787,8828,12392,9371,5006,3642,6560,8886,3481,6415,8446,10776,1914,6423,5897,9742,12450,9857,4911,3874,6302,3552,8909,10817,6481,5675,2923,9263,9507,5072,3683,6694,8767,3307,9105,12341,2910,3968,6816,10
788,9632,4966,2005,3723,7236,8990,12481,3493,9003,11274,6262,5780,2806,13320,10353,1887,5729,3197,8571,9400,5013,2996,6476,3407,6723,10394,9545,5433,10319,5337,9383,12440,1023,3864,6684,8889,3644,10509,5702,10348,5920,7216,12365,9756,4823,3719,8623,3760,10818,5246,3025,5538,9334,4589,5453,12452,3433,6533,8799,10464,5347,2971,6317,9420,5772,10406,1963,4969,8681,7181,13056,3670,10759,6265,5480,3020,10792,9516,4797,5662,12556,3482,9058,5027,6697,3359,6343,8915,5419,10435,1998,5894,8678,12562,9765,12806,3777,6928,6323,10510,1783,5461,2809,5569,9373,12342,9426,4852,11281,6372,3444,9100,6482,5430,2925,9985,4956,9753,4595,3255,6456,8910,3523,7680,9005,12371,10881,6848,9556,12345,2024,4827,3497,7298,8668,12809,3860,9048,11276,6534,5744,3000,6318,9309,9603,5334,3734,9031,9521,4919,2543,6698,3310,6725,10763,9487,5671,10515,1980,7190,9338,12400,8917,5018,3692,6537,3667,10820,5295,10531,5770,3389,8890,9664,4970,3477,6427,9106,3873,10299,5528,2751,5517,9441,5014,1903,8944,3419,6266,9060,3686,10409,5732,10800,6592,5350,13312,10354,1973,4598,3615,9011,3784,10517,6497,5891,2983,10396,9541,5029,5462,12423,3733,9006,12366,3026,3673,6705,8631,5434,10327,2003,5778,9121,12577,7240,12482,11392,6347,5683,2931,10437,1789,5307,2810,5584,9389,12373,9770,4839,6207,3294,6484,8682,10356,5454,2551,9331,12564,9872,4856,3506,6538,8815,7193,12810,10410,5340,2973,5677,9824,12346,9528,4977,3442,7425,12456,3317,8863,6671,5243,2926,6726,9390,4590,9554,5475,3526,6700,8931,9795,12427,2783,6325,6439,9749,5368,10301,1997,4798,7203,9605,12387,3847,9108,5017,11282,6429,3726,10771,9495,5720,3908,8655,4597,9428,4972,3491,6376,9035,3685,6268,10765,5511,10882,2032,9327,12374,1978,4943,3529,6349,8573,3421,10521,5952,10518,6326,5540,9864,9546,5088,3747,8689,3303,10766,6787,5793,3041,10417,9778,4543,1917,9122,3639,7300,9013,12348,10533,3876,6706,5703,10628,2010,5532,8918,12568,3500,9153,11297,6430,5465,2933,6729,10331,9395,5353,2987,5800,12377,9374,4829,3042,3448,6443,9064,10824,5893,11009,5765,9610,12578,12817,3792,6498,3704,8684,10438,5436,3028,5327,9442,12812,9524,4923,7189,12484,3737,8823,2974,5686,2812,6355,9766,5030,9415,5730,3318,6545,8921,7248,12429,10412,6329,5570,2989,9337,13328,10360,1519,4978,7205,9797,12389,3676,8892,5033,6540,3415,6488,10441,9988,5059,5515,3853,8635,12435,9499,4843,3505,6730,8933,6789,5361,10576,2019,5215,7426,9570,12464,9754,4601,3969,6737,3631,10302,2006,6679,5477,9548,4951,9397,5020,3435,6384,9037,3690,10522,14337,5906,3015,9511,4830,1951,4925,9112,3315,7194,8574,12430,3532,10383,11269,6350,5659,9777,1911,5309,12818,3498,9014,11284,6239,5707,2934,6471,10343,9617,5459,10418,2021,9043,9421,12609,2879,6708,3731,6944,8922,10534,5526,10333,5354,9801,12319,3390,8690,11298,6546,3859,9072,10884,5784,2995,5482,12488,9448,5061,3753,8934,3479,6500,8637,10442,5710,2555,6451,9584,12378,5826,3309,6445,8663,3888,8827,10832,6561,5335,2937,9340,13344,10563,9888,5034,7304,12833,3698,9124,4980,3032,3808,6357,10632,9772,4602,5423,3538,7210,8879,12580,12610,3663,6712,2799,5685,10537,2009,5900,7264,9402,12820,9612,4845,6976,3750,11010,9804,5466,2990,5736,9517,5041,9992,5062,3906,6732,9095,7179,14338,5552,10347,5777,9326,12551,1790,4851,3471,7681,9017,12437,3508,10420,6330,5362,9427,4955,9553,5523,12390,3431,8692,11520,6790,5689,3044,6548,9769,5484,10391,2026,5036,9038,7235,9862,12393,10449,6371,3740,7040,10524,1975,5310,9387,12592,3689,8937,4926,11267,6738,3862,6562,9018,10888,5905,3019,2012,8924,9456,5007,3525,6446,8638,3321,6793,9154,10334,5717,10444,6915,5678,9618,12584,9812,3560,6504,3781,9128,10538,6683,5928,2938,13318,10640,9569,4967,3646,8667,3422,9045,12451,2557,3854,6255,10848,9502,4735,5576,3970,7196,9059,12380,3697,8829,11329,6475,5794,2997,13321,10592,1967,5431,7312,12335,9743,4984,3021,3445,6358,10565,9422,5468,10773,5341,9606,12555,4575,3537,6453,9099,3756,10395,5518,10450,5364,7206,9398,12673,9859,5042,7428,12834,3675,10545,5828,3048,5773,9780,4846,9525,5898,12612,3738,6332,8679,14340,5722,2940,6593,10000,5489,10787,1915,5065,8887,7217,9633,12496,3322,10540,6361,6552,10349,9279,4604,5709,12674,3486,8938,4957,11288,6753,3865,6740,9020,5542,10424,2025,5953,8945,12438,9802,12441,3438,6695,3512,6794,9046,10774,2022,6373,5435,9429,12453,9518,4853,11300,6303,3916,9049,10777,6564,5478,2998,9560,9401,5066,3199,6454,8696,3779,7237,8991,12394,10355,3554,6685,9547,12343,1981,3875,7432,8447,12616,3645,9156,11330,6917,5796,2911,6754,13376,10407,9434,5339,3499,9101,9865,5015,2807,6801,3912,6477,10465,9751,5690,10566,5529,7209,9501,12824,8911,3762,6263,3749,10546,5922,11012,5600,7242,12865,9335,4971,3443,8669,3851,10397,5731,3056,5355,9809,4958,6016,12836,3671,6744,9107,3530,10896,5771,10569,6483,5541,9640,13322,10350,1918,4854,7328,12401,3324,10357,6362,5245,2558,10452,9572,5044,5455,12442,3483,8830,12367,6512,3700,6796,8940,5912,10411,2033,5692,9136,12557,7175,9920,12396,11278,6374,6535,11016,1999,5767,3027,5808,9523,12866,9419,5073,11304,6457,3540,6594,9061,14344,5481,3001,9784,12512,9620,5019,3976,6686,8683,3877,7682,8891,12454,10570,6478,5718,9445,12807,9543,5068,3437,7220,12840,3786,8946,11393,6377,5530,2811,6699,9375,9757,5407,3920,6918,9050,9810,12483,3022,6319,3501,6267,10466,9609,5825,10789,2028,7299,9668,12558,3691,8670,4857,11283,6802,3761,10778,13329,10627,5492,3866,9160,9452,4973,3263,6756,8575,3450,6485,10548,5303,10456,5571,9404,12929,1533,3677,6921,9102,3568,10656,5545,10511,6364,5908,13324,10519,9993,5048,3878,9007,3739,10398,6458,5782,3002,10577,9771,4591,5358,12811,3507,7249,9168,12563,10790,3782,6568,5740,10912,2011,5715,9062,12868,7212,12579,11332,6539,5437,2927,10358,9876,5525,3029,5921,12347,9825,4799,6817,3553,6727,9109,10572,5467,10819,5734,9529,12457,9433,12848,3754,6499,7440,12402,10780,5663,3030,5832,9798,12565,10016,5031,11312,7238,12444,3972,8919,6431,5781,2975,6327,9342,5074,9634,5721,3881,6378,8685,7195,9549,12375,10629,6269,6701,9443,13440,10413,1982,4979,7360,9868,12485,3687,9065,4858,11277,6804,3495,6760,10361,9576,5342,3794,8893,12404,9758,4599,3391,6486,9123,3727,6460,10793,5554,10439,2034,7301,9515,12458,9990,5021,3868,6385,3809,11024,5490,10419,6922,5365,9557,9665,4974,3527,6707,8948,3323,10468,14352,5574,3043,10578,9526,4831,1979,9052,3788,7218,8691,12349,3449,10552,11776,6489,5895,13330,10944,2023,5774,12819,3936,8923,11394,6596,5956,2813,6541,10630,9840,5539,10414,5733,12813,9430,12930,3004,3544,6547,9015,10794,5577,10821,5469,9767,12569,7256,12566,11286,6351,3909,9114,10633,5795,2935,5351,9391,12814,9866,5089,7684,12465,3485,6818,9066,10523,5687,3033,6702,9624,12581,9613,5924,3768,6929,9110,7244,12676,10362,6576,5548,3045,9828,13345,10688,9446,4981,7183,12379,3678,8694,5035,6501,3861,6331,10593,9987,5090,5496,3510,7306,9125,12872,9558,13057,3446,6380,6808,5840,10801,2013,5752,7456,9530,12486,9874,5076,11336,6768,3693,10443,9779,6731,5785,9403,5022,9680,4860,3896,6924,8935,3735,7224,10303,14368,5366,10580,9550,12460,2036,5037,3295,7266,8952,12408,3764,10634,11289,6849,5724,9436,9773,5463,12489,3984,9073,11521,6270,5901,3034,6386,10767,9339,5553,10822,2007,8686,7207,9571,12624,10796,6709,3531,6542,10421,6017,10535,5679,9464,12350,3699,8894,11299,6490,3793,6600,9113,10525,5483,2991,5738,12570,9816,5063,3907,8693,3556,6502,9068,10472,5363,10364,6549,5580,9607,12431,13317,3882,6447,3502,9039,10445,6713,5546,2939,10048,13332,10422,9636,4982,7688,12391,3889,9184,12466,3046,3643,6388,10883,9889,4927,5779,3326,7302,8639,12582,7241,12381,11396,6739,5438,2814,13346,10802,2030,5907,7427,9799,12932,9628,5043,6333,3513,6710,10526,9561,5801,10825,5527,9449,12490,9896,4603,3757,6820,8925,7313,14339,5357,10539,5936,7198,9989,12880,9861,4985,3812,7252,12611,3694,10594,6505,5746,9532,5080,9423,5856,12680,3785,6850,9019,11285,14341,5586,2559,6733,9782,5711,10451,2014,4847,9126,7488,9826,12585,3533,10641,6359,11344,6930,10425,9666,5798,13058,3452,9074,5038,11301,6791,3741,6492,9129,10636,5954,10584,2040,9155,9611,12395,3914,6563,4000,6550,8939,10826,5519,10885,6608,5556,9457,12468,9311,11522,6824,3539,8697,10833,6945,5479,3036,13568,10775,9573,5092,3705,9047,3800,7213,9116,12439,10480,3855,6506,10002,12497,5788,3447,7308,8926,12572,3892,9021,11290,6734,5737,3049,6553,13315,10446,9755,5910,7430,12936,9405,5067,2999,3702,6714,10335,9803,5573,10567,5369,7265,9555,12382,12492,3974,6932,3755,10804,5608,11040,5829,7696,9622,12586,9450,4986,7250,12688,3439,10642,5694,3050,5470,9880,4605,9578,5902,12896,3516,6741,9157,7219,14400,6018,10596,6716,5745,9806,13377,10547,1535,5045,7330,9922,12640,3884,10541,6363,6455,10657,9431,5069,5493,12613,3542,9130,12821,11400,6852,3921,6742,9076,5585,10453,2027,5804,8698,12443,7433,9519,12498,11306,6745,3319,6795,10808,2029,6565,5723,9781,12593,9996,5096,11360,6936,3742,6946,8941,11072,14345,5786,2941,9562,9832,4988,3971,6755,9137,3509,7191,9158,12835,10828,11275,6746,5370,9648,12588,9873,3796,7316,12397,3763,8947,11777,6554,5534,3023,6375,13336,10426,9458,5913,3910,9051,9619,12472,2942,6832,3863,6797,10886,9785,5486,10644,5560,7272,9580,12822,3545,9132,11331,6392,3701,10467,13348,11136,5964,7214,12825,9406,5046,3558,9022,3810,6513,10834,5247,10658,5827,10001,12403,5602,3890,6334,9103,3423,10542,5923,10889,6508,5693,9813,13378,11011,9774,4959,7712,12455,3751,10600,6798,5547,3057,10779,10024,4855,5960,12513,3514,7239,9063,12614,14342,3922,6803,5810,10351,2035,5797,8831,12594,7305,9672,13060,11292,6479,6624,10571,9890,5491,3003,5899,12445,9527,5104,11408,6459,3787,6365,9080,14353,5719,10454,5578,9564,12944,9437,12617,3534,6514,3978,7429,8671,12398,10549,6757,5372,9614,12405,9460,4606,11302,7552,12500,3937,9138,11524,6566,5531,3052,6569,9924,9869,5748,3706,6595,8942,7221,9994,12459,10428,6758,3869,6687,9818,13326,10689,2037,7442,9585,13064,3766,9161,5075,11313,6379,3977,6556,10457,13352,10648,5588,3647,8700,9805,5049,3555,6487,9053,3824,6516,10849,6024,10836,5925,7329,9638,12618,10049,3453,6919,3783,10791,5485,10890,6461,5834,13441,10469,9531,4859,3879,8949,3541,10399,14346,5968,3058,10660,9574,5070,5549,12514,4032,7683,9162,12837,3503,10550,11333,6366,5739,13331,10781,1791,5809,12826,7243,12675,11528,6570,5914,3005,11013,9892,5311,10850,5498,12596,9435,12504,6597,3913,6381,9111,10897,5725,10573,5616,9786,12704,7268,9625,12559,11305,6703,7314,12567,10359,5926,3031,5787,10018,12446,9696,5050,11338,7436,12625,3758,6977,9067,14354,5555,300
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シーケンスグループ5: Z5_16384
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シーケンスグループ6: Q6_2048
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シーケンスグループ6: Z6_2048
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シーケンスグループ6: Q6_4096
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シーケンスグループ6: Z6_4096
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シーケンスグループ6: Q6_8192
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6530,6294,1751,1993,1503,1962,5056,5418,6297,6309,4961,4789,6250,6199,2905,3416,3257,2552,5227,5890,5446,4893,5321,5700,5667,5002,6472,7232,5348,4811,2847,3403,2303,3012,5237,5426,4903,4570,1781,1885,3290,2957,4732,5275,4790,4350,1908,2016,3
721,3607,5646,5761,6680,6721,3357,2767,3191,2525,4813,5167,6692,7178,5411,4671,5009,5536,3665,2963,3496,3428,4894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,7185,6785,5213,5507,3627,3024,1782,1279,4935,5425,5391,5242,2918,3732,3681,2965,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,1994,1663,3654,3872,2775,3198,3490,2541,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,2969,3672,2549,2924,1759,1907,3463,2895,6345,6480,5016,4478,3904,3492,3040,3745,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,7188,6247,5325,4826,2002,1913,3305,3752,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,4976,5352,4838,4541,5488,4567,6237,7202,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,3013,3662,3778,3287,5716,5032,6348,6442,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,3637,3852,1971,1950,2797,3418,3688,2993,4949,5406,4963,4733,3014,3504,3729,2803,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,4583,5904,6444,6253,3475,3641,3436,2988,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,3669,3630,3880,2919,2018,1727,2687,3528,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,5239,4573,6261,6356,5713,5011,5544,5476,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,4954,5714,5513,5572,2005,1887,3968,3723,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,5308,5006,5897,4911,6360,6560,5675,5072,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,6684,7216,5772,4969,3482,3359,1998,1783,6533,6317,5480,4797,3777,2809,3444,2925,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,5683,5307,5584,4839,5454,4856,6705,7240,2926,3526,2783,3847,5340,5677,4977,5243,1997,2032,3726,3908,6347,6207,4590,5475,5368,4798,6484,6538,7193,7425,5017,5720,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,7194,6350,4830,4925,5659,5309,6239,6471,2934,2879,3731,3390,5707,5459,6708,6944,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,6451,6445,6561,7304,4845,5466,6357,7210,3698,3032,3808,3538,3663,2799,1790,2026,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,3781,2938,3646,3422,6548,7235,6371,7040,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,5310,4926,6915,6504,5905,5007,5717,5678,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,3199,3779,3554,3875,6373,6303,4957,5542,6564,6454,5953,5435,3645,2911,1981,1918,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,6754,6801,6477,7209,3851,3056,3671,3530,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,6744,6483,6016,5771,3027,3540,3001,3976,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,5692,5767,5808,5073,2028,1533,3920,3022,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,3782,2927,3029,3553,5545,5908,5048,5782,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,6539,6817,5921,4799,3972,2975,3881,3687,3495,3794,2034,1979,5467,5734,5663,5832,3391,3727,3868,3809,6727,6499,5031,5781,5074,5721,7440,7238,4979,4858,5342,4599,3527,3323,3043,3788,6431,6327,5554,5021,3449,3936,2813,3004,5490,5365,6378,7195,4974,5574,4831,5895,3544,3909,2935,3485,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,5795,5351,5089,5687,5924,5548,7684,6818,4981,5035,5090,5496,3446,3693,2036,2007,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,5483,5738,6386,7207,5063,5363,6709,6542,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,5907,5043,6502,6549,6447,6713,7688,6388,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,3533,3452,3741,3914,5746,5080,5856,5586,6820,7313,7198,7252,5711,4847,6505,6850,6733,7488,6359,6930,5798,5038,5954,5519,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,6795,6565,5096,5786,6936,6946,4988,5370,6755,7191,5534,5913,6746,7316,6554,6375,5486,5560,6832,6797,5964,5046,5247,5827,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,5899,5104,6365,6514,7429,6757,5719,5578,3706,3869,3766,3977,7552,6566,5372,4606,1791,2038,3647,3555,3824,3453,3783,3879,6569,6595,5531,5748,3541,3058,4032,3503,7221,6758,6687,7442,6379,6556,6487,6516,5075,5588,7329,6919,5049,6024,5925,5485,6461,7683,5834,4859,6366,7243,5968,5070,6570,6597,5549,5739,6381,7268,5809,5914,3005,3913,3031,3758,5311,5498,6703,7314,5725,5616,5926,5787,7436,6977,5050,5555,3006,3562,3924,3816,2041,1919,3769,3986,5830,4975,6948,6856,7226,6978,5077,5601,6805,7197,5802,5078,3708,3548,3451,3940,6952,6923,7361,6761,6748,7685,6577,6864,3867,3789,3564,3035,6960,7245,6020,5023,7320,6980,5929,5735,3980,3511,3060,3891,6491,7041,7280,6387,3797,3047,3886,3325,5543,5842,7441,6806,5439,5775,7744,6598,6462,6819,5916,5857,3695,3973,3546,3790,5575,5371,5091,5836,3561,3928,3765,3064,7254,6762,5497,5984,4861,5052,7225,7042,6925,7458,5592,5957,7364,6520,4983,5533,4001,3885,3915,3679,5081,5816,6572,7690,5093,5726,5909,5558,6809,6880,6711,7251,3517,3795,2815,3952,7336,7222,5494,5741,6984,6769,6382,7303,6503,6601,6543,6931,5944,5783,6735,6822,3772,3572,3037,3454,5343,5812,6578,6821,7434,7686,6032,5082,3802,3870,2042,2039,5579,5747,5841,5039,6493,7444,5955,5604,7246,6389,7332,6602,3883,3547,3992,3911,3938,3515,3051,3570,5930,5550,6810,7257,6764,7697,4987,5937,5094,5691,7307,7457,5374,4862,5561,5805,3811,3743,3898,3038,6507,6271,5860,5742,3053,3985,3770,3893,7211,6335,7269,6926,6551,6580,5833,4607,6770,7362,5581,5500,6715,6609,5789,5962,6825,6390,6851,7490,6048,5587,5084,5753,3543,3703,3813,4004,5848,5903,6494,7228,6743,6812,7692,6934,5495,5940,7309,7464,6604,7267,5097,5047,5750,6022,7344,6393,3535,3798,3917,3569,6826,7808,5803,5487,2044,2043,3007,3944,6717,7315,6555,6947,5098,5564,7260,6933,7448,6853,6509,6584,5932,5590,5969,5367,6772,6833,5790,4989,3311,3988,3818,3925,6518,7368,6019,5557,6567,7700,5844,5811,6610,6937,5071,5958,3557,3759,3804,3894,4990,5911,7274,6394,6515,7318,5593,5749,3059,4008,3832,3918,6625,6718,7492,6557,3710,3061,4033,3801,7253,6747,6510,7689,5606,5858,7431,7199,6612,7714,5938,5471,6799,7044,6949,6759,3975,3576,38
97,3930,7310,6828,5799,5105,2031,1983,3814,3559,7553,6854,5562,5970,7331,6573,5051,5835,6938,6396,7258,6517,6749,7376,6992,6834,5582,6026,6857,6776,5985,5100,5754,5917,5814,6025,7460,6626,6950,7276,5695,5603,7227,6571,5872,5501,7321,7048,7713,6558,4002,3767,3825,2943,5831,5927,7435,6367,7270,7698,5589,5106,3487,3054,3926,3939,3987,3709,3550,4034,6807,6836,6979,7472,6080,5551,6763,6616,3900,3982,2046,2047,5053,5961,7281,6599,3771,3820,3563,3945,6940,7333,7745,6953,6858,7392,6865,6981,6860,7230,5079,5806,7446,7496,5054,5610,7008,6954,7317,6750,5972,5864,7338,7056,5817,6034,7247,6866,6840,6521,5756,5596,5499,5988,7568,6579,5915,5837,5612,5083,3062,3518,3791,3979,7437,7704,6028,5559,6961,7273,7936,6463,5108,5939,6765,7324,3065,4016,3929,3942,3817,3565,3826,3989,5845,5095,6956,6628,7489,6574,7716,7282,3871,3707,4040,3923,7443,6982,6811,7363,3803,3549,3066,3948,5934,5373,6632,7255,3773,3039,3981,3887,6383,6522,6603,6766,7554,6771,5743,6021,6581,6524,5594,5838,7345,7752,6962,7322,5609,5976,5813,5112,6049,5933,7438,6605,5963,5727,7687,6640,6813,7334,5565,5843,7461,6823,4863,6000,5820,5620,7284,7223,3573,4003,4036,3932,5085,5502,5850,5918,7365,6868,6985,7449,6773,7728,6495,6611,3774,3996,3828,3566,7504,6582,7259,6881,6395,6606,6586,6585,5931,5595,7810,6613,7693,6391,6827,7340,3068,3815,3953,3899,6040,5959,5986,5563,3941,3993,3805,3578,5099,5618,7370,6986,7556,7271,6882,7288,4006,3519,3055,4048,5859,5791,7452,7043,7746,6814,5946,5086,5101,6033,7462,6927,7229,6993,5818,5941,7699,7337,5591,5751,3895,3946,3571,3990,6964,7720,6872,7072,6935,6511,5861,6052,7520,7045,5583,5846,7377,6774,5965,5617,7465,6829,6988,7348,6777,6855,5055,5992,4009,3919,3819,3577,5359,6036,7262,6397,6835,7445,6968,7319,5866,5973,7046,6830,7812,7366,5605,5807,7560,7277,6884,7491,3960,3806,4037,3994,3574,3954,3931,3821,5852,5942,6994,6519,7702,6588,5107,6056,7450,6614,7311,6627,7691,6559,5880,5966,4005,3901,4024,3063,5758,5109,6629,7049,6081,5849,7346,6939,6617,7384,6778,6888,6023,5624,7760,6996,5945,5978,7104,7466,7009,6837,5862,5607,3799,4041,3551,4010,7275,7938,7494,6941,7369,7748,7715,7050,6050,5815,7396,6859,7285,7474,5873,4991,3829,3933,3956,4064,6951,6618,6780,7323,2015,2045,3902,3580,6838,6398,5535,5102,7694,7809,5974,5987,6861,7215,7459,6719,7057,7584,6942,6955,6523,7352,6035,5757,7497,7335,5598,6082,6841,7708,5948,6030,6575,7286,6751,7372,4020,3822,3067,3943,6633,7468,5819,5868,7010,6867,5611,5993,4035,4017,3830,3327,6630,7717,7325,7378,7052,7937,7705,6862,5110,5566,6957,7508,5839,6027,6620,7000,3991,3947,4042,3711,7261,7555,6983,7473,7439,7290,6869,6842,7616,7058,5113,6064,7393,6896,7012,6963,7493,6958,6583,7073,5977,5990,7341,7722,5865,5613,6634,7283,5874,6037,5919,5755,7824,6767,6088,5971,7776,7480,5851,5597,6815,7342,7506,6883,4012,3833,3069,3983,5114,5996,7747,7701,5821,5087,7557,7060,3934,4049,3455,3827,7447,6607,7380,6987,4038,4018,3927,3070,7279,6525,7816,7498,3950,3995,3807,3955,6641,7730,7074,6965,6870,7105,7347,7326,6029,5935,7016,7562,6636,7394,7476,6775,5621,6051,6084,5980,5822,6044,7718,7367,6873,7289,7749,6844,5876,5614,7940,6587,5116,5863,6001,5947,7451,6885,5989,6041,7522,7706,7500,7349,6989,7463,7064,6526,3575,4044,3834,4007,7729,6966,7569,6995,7373,6874,7753,6642,4050,3961,3997,4065,5853,5626,7024,7400,6886,6589,7536,6615,3582,3836,3958,4013,6054,5567,5103,6096,6779,7292,7840,7076,7724,6831,5943,5994,7354,7564,7756,7469,5619,6038,7944,7047,7278,6969,6057,5967,7379,7505,5867,5625,6644,7721,6990,7814,7339,6889,6008,5854,4052,3949,4014,3823,6970,6876,6085,6042,7408,6590,7106,7570,7764,7080,7521,6619,5622,6002,6997,7454,7011,6781,7695,7374,5979,5869,7558,7051,4056,3579,4019,3998,7350,7811,7732,7477,6631,7952,6053,5949,6839,7585,7231,6890,3957,4039,4066,3775,6072,5111,6972,6897,7754,6998,7381,7470,5847,6089,5599,6058,7001,7512,7353,6648,6943,7499,6399,7108,5877,5981,7386,7053,6004,6112,7817,7703,7453,6863,7287,6621,7761,7059,7592,7524,3964,3903,4022,4043,6782,6892,5950,5628,7088,7872,7475,7371,7013,7736,7572,6635,6843,7397,6068,5870,4068,4025,3835,3962,4053,3935,3071,4011,7495,6898,5115,5991,7327,7709,7002,7762,7561,7620,6622,7112,7404,6527,6083,6065,7356,7054,7945,6959,7723,7120,5878,5375,7014,7828,7777,7061,6039,5995,7481,7385,6090,5759,7750,7968,6871,7294,7586,6637,7501,7395,6060,5881,4046,3831,4072,4028,7820,7017,5117,6031,7528,6845,7710,7075,7467,7942,7509,7617,6900,7478,7004,6643,6875,7792,7382,6967,7719,7066,7343,7818,5982,6097,7018,7576,7565,7062,5503,5875,6086,6066,7780,7398,3951,4021,4051,3837,6646,7939,5975,5118,7077,7510,5998,6043,7482,7826,7731,7355,7632,6887,7502,6904,4045,4080,4026,3965,7388,7725,7025,7291,6638,7523,7416,6846,7065,7768,6645,7020,5855,6003,7559,6991,8000,7588,7136,7841,5623,6092,5882,6055,6591,7751,7580,7513,6098,6009,7401,7848,6045,6113,6877,7941,5630,5884,7813,7484,7375,6971,7734,7078,4058,3567,4067,4054,7778,7618,7026,7081,3999,3959,4069,4057,7107,7563,6891,7409,7263,6649,7525,6999,7068,7954,6006,6061,6878,6973,7707,7357,7755,7507,6100,5997,7574,7402,7832,7530,7109,7758,7874,7383,6062,5871,70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シーケンスグループ6: Z6_8192
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シーケンスグループ6: Q6_16384
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894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,8563,9366,10285,10340,8673,8766,9540,8605,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,9301,8795,8558,9737,9479,9247,8660,9762,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,8847,9092,8997,8807,9358,8876,9601,8902,10880,11265,9379,8621,12804,12337,12362,12560,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,10291,10388,8986,8444,9306,8565,8797,9424,7185,6785,5213,5507,3627,3024,1782,1279,9040,8882,10286,10315,8905,8824,10506,10513,4935,5425,5391,5242,2918,3732,3681,2965,9508,8674,8998,9324,10757,10344,9275,8619,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,9369,9096,9761,8606,10402,10293,9483,8415,1994,1663,3654,3872,2775,3198,3490,2541,9318,9746,8855,8884,9027,9520,8811,8664,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,10433,11272,9329,8647,12448,13314,12808,12576,12816,12480,12832,12358,10392,10317,8988,9381,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,9793,9001,8906,9440,8913,9029,8908,9278,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,10404,11008,9494,9544,12332,12419,12369,12338,9056,9002,9365,8798,9386,9104,9295,8914,8888,8569,10508,10514,9616,8627,10758,10294,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,9485,9752,9009,9321,9984,8511,8813,9372,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,10323,10297,10761,10352,9004,8676,9537,8622,9764,9330,11264,10375,12361,12303,12608,12421,2969,3672,2549,2924,1759,1907,3463,2895,9491,9030,8859,9411,10318,10529,8680,9303,8431,8570,8651,8814,12340,12311,12422,12672,6345,6480,5016,4478,3904,3492,3040,3745,9602,8819,10434,10325,8629,8572,9393,9800,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,9010,9370,10516,10762,9486,8653,9735,8688,7188,6247,5325,4826,2002,1913,3305,3752,8861,9382,9509,8871,10298,10408,9332,9271,12364,12425,12370,12344,10379,10339,9413,8916,9033,9497,8821,9776,10326,10300,8543,8659,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,10520,10329,9552,8630,9307,8929,10530,10769,4976,5352,4838,4541,5488,4567,6237,7202,8443,8654,8634,8633,10764,10436,9858,8661,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,9741,8439,8875,9388,10381,11280,10341,10387,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,12315,12385,12327,12547,9418,9034,9604,9319,3013,3662,3778,3287,5716,5032,6348,6442,8930,9336,10416,10382,12372,12426,12433,12549,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,9500,9091,9794,8862,9510,8975,9277,9041,3637,3852,1971,1950,2797,3418,3688,2993,12317,12331,12386,12803,9747,9385,9012,9768,8920,9120,8983,8559,10770,10561,9568,9093,4949,5406,4963,4733,3014,3504,3729,2803,10271,10440,10330,11296,9425,8822,10785,10532,9513,8877,9036,9396,8825,8903,10562,10772,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,10503,10389,10342,10345,9310,8445,8883,9493,4583,5904,6444,6253,3475,3641,3436,2988,9016,9367,10544,10536,9094,8878,9860,9414,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,9608,9325,8932,9539,12376,12428,12318,12434,3669,3630,3880,2919,2018,1727,2687,3528,9042,8567,9750,8636,13316,12359,12550,12553,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,9498,8662,9359,8675,12449,12864,12333,12388,5239,4573,6261,6356,5713,5011,5544,5476,9739,8607,11270,10403,8677,9097,10332,11273,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,12928,13313,12339,12436,9394,8987,8665,9432,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,10287,10507,8826,8936,10625,10786,9808,9044,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,10564,10448,10626,10390,9152,9514,10393,10405,4954,5714,5513,5572,2005,1887,3968,3723,9057,8885,10346,10295,9323,9986,9542,8989,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,9417,9796,9763,9098,10568,11328,9444,8907,9333,9522,8999,8666,8828,9371,8886,8446,12334,12363,12554,12561,9742,9857,10776,10817,5308,5006,5897,4911,6360,6560,5675,5072,8909,9263,10788,11274,9507,8767,
9105,9632,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,8990,9003,8571,9400,12805,12392,12450,12341,6684,7216,5772,4969,3482,3359,1998,1783,10353,10394,9545,9383,10319,10509,8889,9756,6533,6317,5480,4797,3777,2809,3444,2925,12481,13320,12440,12365,8623,9334,8799,9420,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,10348,10818,8681,9516,10464,10406,9058,8915,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,10759,10792,8678,9765,9373,9426,9100,9985,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,9753,8910,9005,9556,10435,10510,8668,9048,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,11281,10881,9309,9603,12452,13056,14336,14337,9031,9521,9487,9338,12556,12562,12806,12342,5683,5307,5584,4839,5454,4856,6705,7240,11276,10763,8917,8890,9664,9106,10515,10820,2926,3526,2783,3847,5340,5677,4977,5243,9441,8944,9060,9011,9541,9006,8631,9121,1997,2032,3726,3908,6347,6207,4590,5475,12371,12345,12809,12400,10531,10299,9389,9770,5368,4798,6484,6538,7193,7425,5017,5720,8682,9331,10409,10800,9872,8815,10354,10517,9824,9528,8863,9390,9554,8931,10396,10327,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,9795,9749,11392,10437,13312,12423,12366,12577,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,10356,10410,9605,9108,9495,8655,9428,9035,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,10301,11282,9327,8573,9864,9546,10771,10765,12482,12373,12564,12810,12346,12456,12427,12387,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,8689,9778,9122,9013,10882,10521,8918,9153,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,9395,9374,10518,10766,9064,9610,8684,9442,9524,8823,10417,10533,12374,12348,12568,12377,10628,11297,9766,9415,8921,9337,9797,8892,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,10331,10824,9988,8635,11009,10438,9499,8933,7194,6350,4830,4925,5659,5309,6239,6471,10412,10360,9570,9754,9548,9397,9037,9511,2934,2879,3731,3390,5707,5459,6708,6944,12578,12817,12812,12484,10441,10576,9112,8574,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,10302,10522,9777,9014,9617,9043,10383,11269,6451,6445,6561,7304,4845,5466,6357,7210,11284,10343,9421,8922,9801,8690,10418,10534,12429,13328,12389,12435,9072,9448,8934,8637,3698,3032,3808,3538,3663,2799,1790,2026,9584,8663,10333,11298,12464,12430,12818,12609,10884,10442,10832,10563,12319,12488,12378,13344,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,8827,9340,9888,9124,9772,8879,10632,10537,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,9402,9612,9804,9517,9992,9095,9326,9017,3781,2938,3646,3422,6548,7235,6371,7040,12833,12580,12610,12820,9427,9553,8692,9769,9038,9862,9387,8937,11010,10347,10420,11520,12551,12437,12390,12393,9018,8924,10391,10449,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,10524,11267,9456,8638,10888,10334,9154,9618,5310,4926,6915,6504,5905,5007,5717,5678,9812,9128,10444,10538,9569,8667,10640,10848,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,11329,10592,10565,10773,9045,9502,9059,8829,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,10395,10450,9743,9422,10545,10787,9606,9099,9398,9859,9780,9525,12592,12584,13318,12451,3199,3779,3554,3875,6373,6303,4957,5542,8679,10000,10540,10349,12380,13321,12335,12555,8887,9633,9279,8938,12673,12834,12612,12496,6564,6454,5953,5435,3645,2911,1981,1918,9020,8945,9802,9046,9429,9518,11288,10424,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,12674,12438,12441,12453,12394,12343,12616,13376,9049,9560,10774,11300,9401,8696,8991,9547,6754,6801,6477,7209,3851,3056,3671,3530,10777,10355,8447,9156,12824,12865,12836,13322,11330,10407,10465,10566,9434,9101,10546,11012,10397,10896,9865,9751,9501,8911,10569,10350,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,9335,8669,10357,10452,9809,9107,9640,9572,6744,6483,6016,5771,3027,3540,3001,3976,10411,11278,8830,8940,11016,11304,9136,9920,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,9523,9419,9061,9784,9620,8683,8891,9445,5692,5767,5808,5073,2028,1533,3920,3022,12401,12442,12367,12557,9543,8946,10570,11393,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,14338,14340,12396,12866,9375,9757,10466,10789,3782,2927,3029,3553,5545,5908,5048,5782,9050,9810,9609,9668,12512,12454,12807,12840,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,12483,12558,13329,12929,11283,10778,8670,9160,9452,8575,10627,10548,13324,12811,12563,12868,6539,6817,5921,4799,3972,2975,3881,3687,9404,9102,9993,9007,10456,10656,9771,9168,10511,10519,9062,9876,9825,9109,10398,10577,3495,3794,2034,1979,5467,5734,5663,5832,10790,10912,11332,10358,9529,9433,10572,10819,9798,10016,8919,9342,9634,8685,9549,9443,3391,3727,3868,3809,6727,6499,5031,5781,10780,11312,9868,9065,10629,10413,9576,8893,5074,5721,7440,7238,4979,4858,5342,4599,12579,12347,14344,14352,11277,10361,9758,9123,3527,3323,3043,3788,6431,6327,5554,5021,12457,12848,12402,12565,9515,9990,9557,9665,3449,3936,2813,3004,5490,5365,6378,7195,10793,10439,8948,9526,9052,8691,11024,10419,8923,9840,9430,9015,12444,12375,13440,12485,4974,5574,4831,5895,3544,3909,2935,3485,9767,9114,9391,9866,12404,12458,12349,13330,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,10468,10578,9066,9624,9613,9110,10552,11776,5795,5351,5089,5687,5924,5548,7684,6818,12819,12813,12930,12569,10944,11394,9828,9446,4981,5035,5090,5496,3446,3693,2036,2007,10630,10414,8694,9987,10794,10821,9125,9558,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,12566,12814,12465,12581,11286,10633,9530,9874,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,10523,10362,10688,10593,9779,9403,9680,8935,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,9550,8952,10801,11336,9436,9773,9073,9339,5483,5738,6386,7207,5063,5363,6709,6542,12676,13345,14368,14339,10443,10303,8686,9571,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,12379,12872,13057,12486,9464,8894,10580,10634,11289,11521,9113,9816,8693,9068,10767,10822,9607,9039,10048,9636,9184,9889,10796,10421,12460,12408,12489,12624,10535,11299,10525,10472,5907,5043,6502,6549,6447,6713,7688,6388,8639,9799,9628,9561,10364,10445,9449,9896,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,10422,10883,8925,9989,11396,10802,9861,9532,3533,3452,3741,3914,5746,5080,5856,5586,9423,9019,9782,9126,12350,12570,12431,13317,6820,7313,7198,7252,5711,4847,6505,6850,10526,10825,9826,9666,13332,12391,12466,12582,6733,7488,6359,6930,5798,5038,5954,5519,10539,10594,11285,10451,9074,9129,10641,11344,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,10425,11301,9155,9611,8939,9457,10636,10584,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,12381,13346,12932,12490,12880,12611,12680,12585,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,9311,8697,9573,9047,10826,10885,9116,10002,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,11522,10833,10775,10480,14341,14400,13058,12395,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,11290,10446,8926,9021,9755,9405,10335,10567,12468,13568,12439,12497,9803,9555,10804,11040,9622,9450,9880,9578,9157,9806,9922,9431,6795,6565,5096,5786,6936,6946,4988,5370,10642,10596,9130,9076,12572,13315,12936,12382,8698,9519,9781,9996,10547,10541,10657,11400,8941,9562,10453,11306,12492,12586,12688,12896,6755,7191,5534,5913,6746,7316,6554,6375,10808,11360,9832,9137,11072,10828,9158,9648,5486,5560,6832,6797,5964,5046,5247,5827,9873,8947,11275,11777,10426,10886,9458,9051,13377,12640,12613,12821,10644,11331,10467,11136,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,12443,12498,12593,12835,10834,10658,9619,9785,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,9580,9132,10542,10889,9406,9022,11011,10600,12588,12397,13336,12472,10001,9103,9813,9774,5899,5104,6365,6514,7429,6757,5719,5578,12822,13348,12825,12403,10779,10351,10024,9063,11292,10571,8831,9672,13378,12455,12513,12614,3706,3869,3766,3977,7552,6566,5372,4606,1791,2038,3647,3555,3824,3453,3783,3879,9890,9527,9080,9564,9437,8671,9614,9460,6569,6595,5531,5748,3541,3058,4032,3503,7221,6758,6687,7442,6379,6556,6487,6516,5075,5588,7329,6919,5049,6024,5925,5485,12594,13060,12445,12944,11408,10454,9138,9924,10549,11302,9869,8942,9994,9818,11524,10428,12617,12398,14345,14342,12405,12500,12459,13326,6461,7683,5834,4859,6366,7243,5968,5070,10689,11313,9585,9161,10457,10648,10849,10836,6570,6597,5549,5739,6381,7268,5809,5914,8700,9805,10791,10890,13064,13352,12618,13441,3005,3913,3031,3758,5311,5498,6703,7314,10469,10399,9053,9638,10660,10550,10049,9531,5725,5616,5926,5787,7436,6977,5050,5555,11333,10781,8949,9574,11528,11013,9162,9892,3006,3562,3924,3816,2041,1919,3769,3986,5830,4975,6948,6856,7226,6978,5077,5601,6805,7197,5802,5078,3708,3548,3451,3940,10850,10897,10573,11305,9435,9111,10359,
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シーケンスグループ6: Z6_16384
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シーケンスグループ7: Q7_2048
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シーケンスグループ7: Z7_2048
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シーケンスグループ7: Q7_4096
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シーケンスグループ7: Z7_4096
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シーケンスグループ7: Q7_8192
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6530,6294,1751,1993,1503,1962,5056,5418,6297,6309,4961,4789,6250,6199,2905,3416,3257,2552,5227,5890,5446,4893,5321,5700,5667,5002,6472,7232,5348,4811,2847,3403,2303,3012,5237,5426,4903,4570,1781,1885,3290,2957,4732,5275,4790,4350,1908,2016,3
721,3607,5646,5761,6680,6721,3357,2767,3191,2525,4813,5167,6692,7178,5411,4671,5009,5536,3665,2963,3496,3428,4894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,7185,6785,5213,5507,3627,3024,1782,1279,4935,5425,5391,5242,2918,3732,3681,2965,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,1994,1663,3654,3872,2775,3198,3490,2541,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,2969,3672,2549,2924,1759,1907,3463,2895,6345,6480,5016,4478,3904,3492,3040,3745,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,7188,6247,5325,4826,2002,1913,3305,3752,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,4976,5352,4838,4541,5488,4567,6237,7202,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,3013,3662,3778,3287,5716,5032,6348,6442,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,3637,3852,1971,1950,2797,3418,3688,2993,4949,5406,4963,4733,3014,3504,3729,2803,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,4583,5904,6444,6253,3475,3641,3436,2988,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,3669,3630,3880,2919,2018,1727,2687,3528,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,5239,4573,6261,6356,5713,5011,5544,5476,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,4954,5714,5513,5572,2005,1887,3968,3723,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,5308,5006,5897,4911,6360,6560,5675,5072,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,6684,7216,5772,4969,3482,3359,1998,1783,6533,6317,5480,4797,3777,2809,3444,2925,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,5683,5307,5584,4839,5454,4856,6705,7240,2926,3526,2783,3847,5340,5677,4977,5243,1997,2032,3726,3908,6347,6207,4590,5475,5368,4798,6484,6538,7193,7425,5017,5720,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,7194,6350,4830,4925,5659,5309,6239,6471,2934,2879,3731,3390,5707,5459,6708,6944,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,6451,6445,6561,7304,4845,5466,6357,7210,3698,3032,3808,3538,3663,2799,1790,2026,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,3781,2938,3646,3422,6548,7235,6371,7040,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,5310,4926,6915,6504,5905,5007,5717,5678,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,3199,3779,3554,3875,6373,6303,4957,5542,6564,6454,5953,5435,3645,2911,1981,1918,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,6754,6801,6477,7209,3851,3056,3671,3530,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,6744,6483,6016,5771,3027,3540,3001,3976,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,5692,5767,5808,5073,2028,1533,3920,3022,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,3782,2927,3029,3553,5545,5908,5048,5782,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,6539,6817,5921,4799,3972,2975,3881,3687,3495,3794,2034,1979,5467,5734,5663,5832,3391,3727,3868,3809,6727,6499,5031,5781,5074,5721,7440,7238,4979,4858,5342,4599,3527,3323,3043,3788,6431,6327,5554,5021,3449,3936,2813,3004,5490,5365,6378,7195,4974,5574,4831,5895,3544,3909,2935,3485,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,5795,5351,5089,5687,5924,5548,7684,6818,4981,5035,5090,5496,3446,3693,2036,2007,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,5483,5738,6386,7207,5063,5363,6709,6542,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,5907,5043,6502,6549,6447,6713,7688,6388,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,3533,3452,3741,3914,5746,5080,5856,5586,6820,7313,7198,7252,5711,4847,6505,6850,6733,7488,6359,6930,5798,5038,5954,5519,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,6795,6565,5096,5786,6936,6946,4988,5370,6755,7191,5534,5913,6746,7316,6554,6375,5486,5560,6832,6797,5964,5046,5247,5827,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,5899,5104,6365,6514,7429,6757,5719,5578,3706,3869,3766,3977,7552,6566,5372,4606,1791,2038,3647,3555,3824,3453,3783,3879,6569,6595,5531,5748,3541,3058,4032,3503,7221,6758,6687,7442,6379,6556,6487,6516,5075,5588,7329,6919,5049,6024,5925,5485,6461,7683,5834,4859,6366,7243,5968,5070,6570,6597,5549,5739,6381,7268,5809,5914,3005,3913,3031,3758,5311,5498,6703,7314,5725,5616,5926,5787,7436,6977,5050,5555,3006,3562,3924,3816,2041,1919,3769,3986,5830,4975,6948,6856,7226,6978,5077,5601,6805,7197,5802,5078,3708,3548,3451,3940,6952,6923,7361,6761,6748,7685,6577,6864,3867,3789,3564,3035,6960,7245,6020,5023,7320,6980,5929,5735,3980,3511,3060,3891,6491,7041,7280,6387,3797,3047,3886,3325,5543,5842,7441,6806,5439,5775,7744,6598,6462,6819,5916,5857,3695,3973,3546,3790,5575,5371,5091,5836,3561,3928,3765,3064,7254,6762,5497,5984,4861,5052,7225,7042,6925,7458,5592,5957,7364,6520,4983,5533,4001,3885,3915,3679,5081,5816,6572,7690,5093,5726,5909,5558,6809,6880,6711,7251,3517,3795,2815,3952,7336,7222,5494,5741,6984,6769,6382,7303,6503,6601,6543,6931,5944,5783,6735,6822,3772,3572,3037,3454,5343,5812,6578,6821,7434,7686,6032,5082,3802,3870,2042,2039,5579,5747,5841,5039,6493,7444,5955,5604,7246,6389,7332,6602,3883,3547,3992,3911,3938,3515,3051,3570,5930,5550,6810,7257,6764,7697,4987,5937,5094,5691,7307,7457,5374,4862,5561,5805,3811,3743,3898,3038,6507,6271,5860,5742,3053,3985,3770,3893,7211,6335,7269,6926,6551,6580,5833,4607,6770,7362,5581,5500,6715,6609,5789,5962,6825,6390,6851,7490,6048,5587,5084,5753,3543,3703,3813,4004,5848,5903,6494,7228,6743,6812,7692,6934,5495,5940,7309,7464,6604,7267,5097,5047,5750,6022,7344,6393,3535,3798,3917,3569,6826,7808,5803,5487,2044,2043,3007,3944,6717,7315,6555,6947,5098,5564,7260,6933,7448,6853,6509,6584,5932,5590,5969,5367,6772,6833,5790,4989,3311,3988,3818,3925,6518,7368,6019,5557,6567,7700,5844,5811,6610,6937,5071,5958,3557,3759,3804,3894,4990,5911,7274,6394,6515,7318,5593,5749,3059,4008,3832,3918,6625,6718,7492,6557,3710,3061,4033,3801,7253,6747,6510,7689,5606,5858,7431,7199,6612,7714,5938,5471,6799,7044,6949,6759,3975,3576,38
97,3930,7310,6828,5799,5105,2031,1983,3814,3559,7553,6854,5562,5970,7331,6573,5051,5835,6938,6396,7258,6517,6749,7376,6992,6834,5582,6026,6857,6776,5985,5100,5754,5917,5814,6025,7460,6626,6950,7276,5695,5603,7227,6571,5872,5501,7321,7048,7713,6558,4002,3767,3825,2943,5831,5927,7435,6367,7270,7698,5589,5106,3487,3054,3926,3939,3987,3709,3550,4034,6807,6836,6979,7472,6080,5551,6763,6616,3900,3982,2046,2047,5053,5961,7281,6599,3771,3820,3563,3945,6940,7333,7745,6953,6858,7392,6865,6981,6860,7230,5079,5806,7446,7496,5054,5610,7008,6954,7317,6750,5972,5864,7338,7056,5817,6034,7247,6866,6840,6521,5756,5596,5499,5988,7568,6579,5915,5837,5612,5083,3062,3518,3791,3979,7437,7704,6028,5559,6961,7273,7936,6463,5108,5939,6765,7324,3065,4016,3929,3942,3817,3565,3826,3989,5845,5095,6956,6628,7489,6574,7716,7282,3871,3707,4040,3923,7443,6982,6811,7363,3803,3549,3066,3948,5934,5373,6632,7255,3773,3039,3981,3887,6383,6522,6603,6766,7554,6771,5743,6021,6581,6524,5594,5838,7345,7752,6962,7322,5609,5976,5813,5112,6049,5933,7438,6605,5963,5727,7687,6640,6813,7334,5565,5843,7461,6823,4863,6000,5820,5620,7284,7223,3573,4003,4036,3932,5085,5502,5850,5918,7365,6868,6985,7449,6773,7728,6495,6611,3774,3996,3828,3566,7504,6582,7259,6881,6395,6606,6586,6585,5931,5595,7810,6613,7693,6391,6827,7340,3068,3815,3953,3899,6040,5959,5986,5563,3941,3993,3805,3578,5099,5618,7370,6986,7556,7271,6882,7288,4006,3519,3055,4048,5859,5791,7452,7043,7746,6814,5946,5086,5101,6033,7462,6927,7229,6993,5818,5941,7699,7337,5591,5751,3895,3946,3571,3990,6964,7720,6872,7072,6935,6511,5861,6052,7520,7045,5583,5846,7377,6774,5965,5617,7465,6829,6988,7348,6777,6855,5055,5992,4009,3919,3819,3577,5359,6036,7262,6397,6835,7445,6968,7319,5866,5973,7046,6830,7812,7366,5605,5807,7560,7277,6884,7491,3960,3806,4037,3994,3574,3954,3931,3821,5852,5942,6994,6519,7702,6588,5107,6056,7450,6614,7311,6627,7691,6559,5880,5966,4005,3901,4024,3063,5758,5109,6629,7049,6081,5849,7346,6939,6617,7384,6778,6888,6023,5624,7760,6996,5945,5978,7104,7466,7009,6837,5862,5607,3799,4041,3551,4010,7275,7938,7494,6941,7369,7748,7715,7050,6050,5815,7396,6859,7285,7474,5873,4991,3829,3933,3956,4064,6951,6618,6780,7323,2015,2045,3902,3580,6838,6398,5535,5102,7694,7809,5974,5987,6861,7215,7459,6719,7057,7584,6942,6955,6523,7352,6035,5757,7497,7335,5598,6082,6841,7708,5948,6030,6575,7286,6751,7372,4020,3822,3067,3943,6633,7468,5819,5868,7010,6867,5611,5993,4035,4017,3830,3327,6630,7717,7325,7378,7052,7937,7705,6862,5110,5566,6957,7508,5839,6027,6620,7000,3991,3947,4042,3711,7261,7555,6983,7473,7439,7290,6869,6842,7616,7058,5113,6064,7393,6896,7012,6963,7493,6958,6583,7073,5977,5990,7341,7722,5865,5613,6634,7283,5874,6037,5919,5755,7824,6767,6088,5971,7776,7480,5851,5597,6815,7342,7506,6883,4012,3833,3069,3983,5114,5996,7747,7701,5821,5087,7557,7060,3934,4049,3455,3827,7447,6607,7380,6987,4038,4018,3927,3070,7279,6525,7816,7498,3950,3995,3807,3955,6641,7730,7074,6965,6870,7105,7347,7326,6029,5935,7016,7562,6636,7394,7476,6775,5621,6051,6084,5980,5822,6044,7718,7367,6873,7289,7749,6844,5876,5614,7940,6587,5116,5863,6001,5947,7451,6885,5989,6041,7522,7706,7500,7349,6989,7463,7064,6526,3575,4044,3834,4007,7729,6966,7569,6995,7373,6874,7753,6642,4050,3961,3997,4065,5853,5626,7024,7400,6886,6589,7536,6615,3582,3836,3958,4013,6054,5567,5103,6096,6779,7292,7840,7076,7724,6831,5943,5994,7354,7564,7756,7469,5619,6038,7944,7047,7278,6969,6057,5967,7379,7505,5867,5625,6644,7721,6990,7814,7339,6889,6008,5854,4052,3949,4014,3823,6970,6876,6085,6042,7408,6590,7106,7570,7764,7080,7521,6619,5622,6002,6997,7454,7011,6781,7695,7374,5979,5869,7558,7051,4056,3579,4019,3998,7350,7811,7732,7477,6631,7952,6053,5949,6839,7585,7231,6890,3957,4039,4066,3775,6072,5111,6972,6897,7754,6998,7381,7470,5847,6089,5599,6058,7001,7512,7353,6648,6943,7499,6399,7108,5877,5981,7386,7053,6004,6112,7817,7703,7453,6863,7287,6621,7761,7059,7592,7524,3964,3903,4022,4043,6782,6892,5950,5628,7088,7872,7475,7371,7013,7736,7572,6635,6843,7397,6068,5870,4068,4025,3835,3962,4053,3935,3071,4011,7495,6898,5115,5991,7327,7709,7002,7762,7561,7620,6622,7112,7404,6527,6083,6065,7356,7054,7945,6959,7723,7120,5878,5375,7014,7828,7777,7061,6039,5995,7481,7385,6090,5759,7750,7968,6871,7294,7586,6637,7501,7395,6060,5881,4046,3831,4072,4028,7820,7017,5117,6031,7528,6845,7710,7075,7467,7942,7509,7617,6900,7478,7004,6643,6875,7792,7382,6967,7719,7066,7343,7818,5982,6097,7018,7576,7565,7062,5503,5875,6086,6066,7780,7398,3951,4021,4051,3837,6646,7939,5975,5118,7077,7510,5998,6043,7482,7826,7731,7355,7632,6887,7502,6904,4045,4080,4026,3965,7388,7725,7025,7291,6638,7523,7416,6846,7065,7768,6645,7020,5855,6003,7559,6991,8000,7588,7136,7841,5623,6092,5882,6055,6591,7751,7580,7513,6098,6009,7401,7848,6045,6113,6877,7941,5630,5884,7813,7484,7375,6971,7734,7078,4058,3567,4067,4054,7778,7618,7026,7081,3999,3959,4069,4057,7107,7563,6891,7409,7263,6649,7525,6999,7068,7954,6006,6061,6878,6973,7707,7357,7755,7507,6100,5997,7574,7402,7832,7530,7109,7758,7874,7383,6062,5871,70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シーケンスグループ7: Z7_8192
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シーケンスグループ7: Q7_16384
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894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,8563,9366,10285,10340,8673,8766,9540,8605,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,9301,8795,8558,9737,9479,9247,8660,9762,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,8847,9092,8997,8807,9358,8876,9601,8902,10880,11265,9379,8621,12804,12337,12362,12560,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,10291,10388,8986,8444,9306,8565,8797,9424,7185,6785,5213,5507,3627,3024,1782,1279,9040,8882,10286,10315,8905,8824,10506,10513,4935,5425,5391,5242,2918,3732,3681,2965,9508,8674,8998,9324,10757,10344,9275,8619,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,9369,9096,9761,8606,10402,10293,9483,8415,1994,1663,3654,3872,2775,3198,3490,2541,9318,9746,8855,8884,9027,9520,8811,8664,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,10433,11272,9329,8647,12448,13314,12808,12576,12816,12480,12832,12358,10392,10317,8988,9381,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,9793,9001,8906,9440,8913,9029,8908,9278,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,10404,11008,9494,9544,12332,12419,12369,12338,9056,9002,9365,8798,9386,9104,9295,8914,8888,8569,10508,10514,9616,8627,10758,10294,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,9485,9752,9009,9321,9984,8511,8813,9372,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,10323,10297,10761,10352,9004,8676,9537,8622,9764,9330,11264,10375,12361,12303,12608,12421,2969,3672,2549,2924,1759,1907,3463,2895,9491,9030,8859,9411,10318,10529,8680,9303,8431,8570,8651,8814,12340,12311,12422,12672,6345,6480,5016,4478,3904,3492,3040,3745,9602,8819,10434,10325,8629,8572,9393,9800,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,9010,9370,10516,10762,9486,8653,9735,8688,7188,6247,5325,4826,2002,1913,3305,3752,8861,9382,9509,8871,10298,10408,9332,9271,12364,12425,12370,12344,10379,10339,9413,8916,9033,9497,8821,9776,10326,10300,8543,8659,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,10520,10329,9552,8630,9307,8929,10530,10769,4976,5352,4838,4541,5488,4567,6237,7202,8443,8654,8634,8633,10764,10436,9858,8661,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,9741,8439,8875,9388,10381,11280,10341,10387,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,12315,12385,12327,12547,9418,9034,9604,9319,3013,3662,3778,3287,5716,5032,6348,6442,8930,9336,10416,10382,12372,12426,12433,12549,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,9500,9091,9794,8862,9510,8975,9277,9041,3637,3852,1971,1950,2797,3418,3688,2993,12317,12331,12386,12803,9747,9385,9012,9768,8920,9120,8983,8559,10770,10561,9568,9093,4949,5406,4963,4733,3014,3504,3729,2803,10271,10440,10330,11296,9425,8822,10785,10532,9513,8877,9036,9396,8825,8903,10562,10772,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,10503,10389,10342,10345,9310,8445,8883,9493,4583,5904,6444,6253,3475,3641,3436,2988,9016,9367,10544,10536,9094,8878,9860,9414,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,9608,9325,8932,9539,12376,12428,12318,12434,3669,3630,3880,2919,2018,1727,2687,3528,9042,8567,9750,8636,13316,12359,12550,12553,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,9498,8662,9359,8675,12449,12864,12333,12388,5239,4573,6261,6356,5713,5011,5544,5476,9739,8607,11270,10403,8677,9097,10332,11273,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,12928,13313,12339,12436,9394,8987,8665,9432,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,10287,10507,8826,8936,10625,10786,9808,9044,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,10564,10448,10626,10390,9152,9514,10393,10405,4954,5714,5513,5572,2005,1887,3968,3723,9057,8885,10346,10295,9323,9986,9542,8989,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,9417,9796,9763,9098,10568,11328,9444,8907,9333,9522,8999,8666,8828,9371,8886,8446,12334,12363,12554,12561,9742,9857,10776,10817,5308,5006,5897,4911,6360,6560,5675,5072,8909,9263,10788,11274,9507,8767,
9105,9632,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,8990,9003,8571,9400,12805,12392,12450,12341,6684,7216,5772,4969,3482,3359,1998,1783,10353,10394,9545,9383,10319,10509,8889,9756,6533,6317,5480,4797,3777,2809,3444,2925,12481,13320,12440,12365,8623,9334,8799,9420,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,10348,10818,8681,9516,10464,10406,9058,8915,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,10759,10792,8678,9765,9373,9426,9100,9985,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,9753,8910,9005,9556,10435,10510,8668,9048,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,11281,10881,9309,9603,12452,13056,14336,14337,9031,9521,9487,9338,12556,12562,12806,12342,5683,5307,5584,4839,5454,4856,6705,7240,11276,10763,8917,8890,9664,9106,10515,10820,2926,3526,2783,3847,5340,5677,4977,5243,9441,8944,9060,9011,9541,9006,8631,9121,1997,2032,3726,3908,6347,6207,4590,5475,12371,12345,12809,12400,10531,10299,9389,9770,5368,4798,6484,6538,7193,7425,5017,5720,8682,9331,10409,10800,9872,8815,10354,10517,9824,9528,8863,9390,9554,8931,10396,10327,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,9795,9749,11392,10437,13312,12423,12366,12577,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,10356,10410,9605,9108,9495,8655,9428,9035,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,10301,11282,9327,8573,9864,9546,10771,10765,12482,12373,12564,12810,12346,12456,12427,12387,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,8689,9778,9122,9013,10882,10521,8918,9153,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,9395,9374,10518,10766,9064,9610,8684,9442,9524,8823,10417,10533,12374,12348,12568,12377,10628,11297,9766,9415,8921,9337,9797,8892,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,10331,10824,9988,8635,11009,10438,9499,8933,7194,6350,4830,4925,5659,5309,6239,6471,10412,10360,9570,9754,9548,9397,9037,9511,2934,2879,3731,3390,5707,5459,6708,6944,12578,12817,12812,12484,10441,10576,9112,8574,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,10302,10522,9777,9014,9617,9043,10383,11269,6451,6445,6561,7304,4845,5466,6357,7210,11284,10343,9421,8922,9801,8690,10418,10534,12429,13328,12389,12435,9072,9448,8934,8637,3698,3032,3808,3538,3663,2799,1790,2026,9584,8663,10333,11298,12464,12430,12818,12609,10884,10442,10832,10563,12319,12488,12378,13344,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,8827,9340,9888,9124,9772,8879,10632,10537,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,9402,9612,9804,9517,9992,9095,9326,9017,3781,2938,3646,3422,6548,7235,6371,7040,12833,12580,12610,12820,9427,9553,8692,9769,9038,9862,9387,8937,11010,10347,10420,11520,12551,12437,12390,12393,9018,8924,10391,10449,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,10524,11267,9456,8638,10888,10334,9154,9618,5310,4926,6915,6504,5905,5007,5717,5678,9812,9128,10444,10538,9569,8667,10640,10848,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,11329,10592,10565,10773,9045,9502,9059,8829,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,10395,10450,9743,9422,10545,10787,9606,9099,9398,9859,9780,9525,12592,12584,13318,12451,3199,3779,3554,3875,6373,6303,4957,5542,8679,10000,10540,10349,12380,13321,12335,12555,8887,9633,9279,8938,12673,12834,12612,12496,6564,6454,5953,5435,3645,2911,1981,1918,9020,8945,9802,9046,9429,9518,11288,10424,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,12674,12438,12441,12453,12394,12343,12616,13376,9049,9560,10774,11300,9401,8696,8991,9547,6754,6801,6477,7209,3851,3056,3671,3530,10777,10355,8447,9156,12824,12865,12836,13322,11330,10407,10465,10566,9434,9101,10546,11012,10397,10896,9865,9751,9501,8911,10569,10350,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,9335,8669,10357,10452,9809,9107,9640,9572,6744,6483,6016,5771,3027,3540,3001,3976,10411,11278,8830,8940,11016,11304,9136,9920,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,9523,9419,9061,9784,9620,8683,8891,9445,5692,5767,5808,5073,2028,1533,3920,3022,12401,12442,12367,12557,9543,8946,10570,11393,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,14338,14340,12396,12866,9375,9757,10466,10789,3782,2927,3029,3553,5545,5908,5048,5782,9050,9810,9609,9668,12512,12454,12807,12840,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,12483,12558,13329,12929,11283,10778,8670,9160,9452,8575,10627,10548,13324,12811,12563,12868,6539,6817,5921,4799,3972,2975,3881,3687,9404,9102,9993,9007,10456,10656,9771,9168,10511,10519,9062,9876,9825,9109,10398,10577,3495,3794,2034,1979,5467,5734,5663,5832,10790,10912,11332,10358,9529,9433,10572,10819,9798,10016,8919,9342,9634,8685,9549,9443,3391,3727,3868,3809,6727,6499,5031,5781,10780,11312,9868,9065,10629,10413,9576,8893,5074,5721,7440,7238,4979,4858,5342,4599,12579,12347,14344,14352,11277,10361,9758,9123,3527,3323,3043,3788,6431,6327,5554,5021,12457,12848,12402,12565,9515,9990,9557,9665,3449,3936,2813,3004,5490,5365,6378,7195,10793,10439,8948,9526,9052,8691,11024,10419,8923,9840,9430,9015,12444,12375,13440,12485,4974,5574,4831,5895,3544,3909,2935,3485,9767,9114,9391,9866,12404,12458,12349,13330,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,10468,10578,9066,9624,9613,9110,10552,11776,5795,5351,5089,5687,5924,5548,7684,6818,12819,12813,12930,12569,10944,11394,9828,9446,4981,5035,5090,5496,3446,3693,2036,2007,10630,10414,8694,9987,10794,10821,9125,9558,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,12566,12814,12465,12581,11286,10633,9530,9874,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,10523,10362,10688,10593,9779,9403,9680,8935,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,9550,8952,10801,11336,9436,9773,9073,9339,5483,5738,6386,7207,5063,5363,6709,6542,12676,13345,14368,14339,10443,10303,8686,9571,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,12379,12872,13057,12486,9464,8894,10580,10634,11289,11521,9113,9816,8693,9068,10767,10822,9607,9039,10048,9636,9184,9889,10796,10421,12460,12408,12489,12624,10535,11299,10525,10472,5907,5043,6502,6549,6447,6713,7688,6388,8639,9799,9628,9561,10364,10445,9449,9896,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,10422,10883,8925,9989,11396,10802,9861,9532,3533,3452,3741,3914,5746,5080,5856,5586,9423,9019,9782,9126,12350,12570,12431,13317,6820,7313,7198,7252,5711,4847,6505,6850,10526,10825,9826,9666,13332,12391,12466,12582,6733,7488,6359,6930,5798,5038,5954,5519,10539,10594,11285,10451,9074,9129,10641,11344,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,10425,11301,9155,9611,8939,9457,10636,10584,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,12381,13346,12932,12490,12880,12611,12680,12585,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,9311,8697,9573,9047,10826,10885,9116,10002,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,11522,10833,10775,10480,14341,14400,13058,12395,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,11290,10446,8926,9021,9755,9405,10335,10567,12468,13568,12439,12497,9803,9555,10804,11040,9622,9450,9880,9578,9157,9806,9922,9431,6795,6565,5096,5786,6936,6946,4988,5370,10642,10596,9130,9076,12572,13315,12936,12382,8698,9519,9781,9996,10547,10541,10657,11400,8941,9562,10453,11306,12492,12586,12688,12896,6755,7191,5534,5913,6746,7316,6554,6375,10808,11360,9832,9137,11072,10828,9158,9648,5486,5560,6832,6797,5964,5046,5247,5827,9873,8947,11275,11777,10426,10886,9458,9051,13377,12640,12613,12821,10644,11331,10467,11136,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,12443,12498,12593,12835,10834,10658,9619,9785,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,9580,9132,10542,10889,9406,9022,11011,10600,12588,12397,13336,12472,10001,9103,9813,9774,5899,5104,6365,6514,7429,6757,5719,5578,12822,13348,12825,12403,10779,10351,10024,9063,11292,10571,8831,9672,13378,12455,12513,12614,3706,3869,3766,3977,7552,6566,5372,4606,1791,2038,3647,3555,3824,3453,3783,3879,9890,9527,9080,9564,9437,8671,9614,9460,6569,6595,5531,5748,3541,3058,4032,3503,7221,6758,6687,7442,6379,6556,6487,6516,5075,5588,7329,6919,5049,6024,5925,5485,12594,13060,12445,12944,11408,10454,9138,9924,10549,11302,9869,8942,9994,9818,11524,10428,12617,12398,14345,14342,12405,12500,12459,13326,6461,7683,5834,4859,6366,7243,5968,5070,10689,11313,9585,9161,10457,10648,10849,10836,6570,6597,5549,5739,6381,7268,5809,5914,8700,9805,10791,10890,13064,13352,12618,13441,3005,3913,3031,3758,5311,5498,6703,7314,10469,10399,9053,9638,10660,10550,10049,9531,5725,5616,5926,5787,7436,6977,5050,5555,11333,10781,8949,9574,11528,11013,9162,9892,3006,3562,3924,3816,2041,1919,3769,3986,5830,4975,6948,6856,7226,6978,5077,5601,6805,7197,5802,5078,3708,3548,3451,3940,10850,10897,10573,11305,9435,9111,10359,
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シーケンスグループ7: Z7_16384
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シーケンスグループ8: Q8_2048
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シーケンスグループ8: Z8_2048
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シーケンスグループ8: Q8_4096
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シーケンスグループ8: Z8_4096
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シーケンスグループ8: Q8_8192
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6530,6294,1751,1993,1503,1962,5056,5418,6297,6309,4961,4789,6250,6199,2905,3416,3257,2552,5227,5890,5446,4893,5321,5700,5667,5002,6472,7232,5348,4811,2847,3403,2303,3012,5237,5426,4903,4570,1781,1885,3290,2957,4732,5275,4790,4350,1908,2016,3
721,3607,5646,5761,6680,6721,3357,2767,3191,2525,4813,5167,6692,7178,5411,4671,5009,5536,3665,2963,3496,3428,4894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,7185,6785,5213,5507,3627,3024,1782,1279,4935,5425,5391,5242,2918,3732,3681,2965,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,1994,1663,3654,3872,2775,3198,3490,2541,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,2969,3672,2549,2924,1759,1907,3463,2895,6345,6480,5016,4478,3904,3492,3040,3745,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,7188,6247,5325,4826,2002,1913,3305,3752,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,4976,5352,4838,4541,5488,4567,6237,7202,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,3013,3662,3778,3287,5716,5032,6348,6442,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,3637,3852,1971,1950,2797,3418,3688,2993,4949,5406,4963,4733,3014,3504,3729,2803,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,4583,5904,6444,6253,3475,3641,3436,2988,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,3669,3630,3880,2919,2018,1727,2687,3528,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,5239,4573,6261,6356,5713,5011,5544,5476,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,4954,5714,5513,5572,2005,1887,3968,3723,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,5308,5006,5897,4911,6360,6560,5675,5072,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,6684,7216,5772,4969,3482,3359,1998,1783,6533,6317,5480,4797,3777,2809,3444,2925,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,5683,5307,5584,4839,5454,4856,6705,7240,2926,3526,2783,3847,5340,5677,4977,5243,1997,2032,3726,3908,6347,6207,4590,5475,5368,4798,6484,6538,7193,7425,5017,5720,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,7194,6350,4830,4925,5659,5309,6239,6471,2934,2879,3731,3390,5707,5459,6708,6944,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,6451,6445,6561,7304,4845,5466,6357,7210,3698,3032,3808,3538,3663,2799,1790,2026,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,3781,2938,3646,3422,6548,7235,6371,7040,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,5310,4926,6915,6504,5905,5007,5717,5678,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,3199,3779,3554,3875,6373,6303,4957,5542,6564,6454,5953,5435,3645,2911,1981,1918,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,6754,6801,6477,7209,3851,3056,3671,3530,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,6744,6483,6016,5771,3027,3540,3001,3976,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,5692,5767,5808,5073,2028,1533,3920,3022,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,3782,2927,3029,3553,5545,5908,5048,5782,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,6539,6817,5921,4799,3972,2975,3881,3687,3495,3794,2034,1979,5467,5734,5663,5832,3391,3727,3868,3809,6727,6499,5031,5781,5074,5721,7440,7238,4979,4858,5342,4599,3527,3323,3043,3788,6431,6327,5554,5021,3449,3936,2813,3004,5490,5365,6378,7195,4974,5574,4831,5895,3544,3909,2935,3485,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,5795,5351,5089,5687,5924,5548,7684,6818,4981,5035,5090,5496,3446,3693,2036,2007,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,5483,5738,6386,7207,5063,5363,6709,6542,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,5907,5043,6502,6549,6447,6713,7688,6388,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,3533,3452,3741,3914,5746,5080,5856,5586,6820,7313,7198,7252,5711,4847,6505,6850,6733,7488,6359,6930,5798,5038,5954,5519,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,6795,6565,5096,5786,6936,6946,4988,5370,6755,7191,5534,5913,6746,7316,6554,6375,5486,5560,6832,6797,5964,5046,5247,5827,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,5899,5104,6365,6514,7429,6757,5719,5578,3706,3869,3766,3977,7552,6566,5372,4606,1791,2038,3647,3555,3824,3453,3783,3879,6569,6595,5531,5748,3541,3058,4032,3503,7221,6758,6687,7442,6379,6556,6487,6516,5075,5588,7329,6919,5049,6024,5925,5485,6461,7683,5834,4859,6366,7243,5968,5070,6570,6597,5549,5739,6381,7268,5809,5914,3005,3913,3031,3758,5311,5498,6703,7314,5725,5616,5926,5787,7436,6977,5050,5555,3006,3562,3924,3816,2041,1919,3769,3986,5830,4975,6948,6856,7226,6978,5077,5601,6805,7197,5802,5078,3708,3548,3451,3940,6952,6923,7361,6761,6748,7685,6577,6864,3867,3789,3564,3035,6960,7245,6020,5023,7320,6980,5929,5735,3980,3511,3060,3891,6491,7041,7280,6387,3797,3047,3886,3325,5543,5842,7441,6806,5439,5775,7744,6598,6462,6819,5916,5857,3695,3973,3546,3790,5575,5371,5091,5836,3561,3928,3765,3064,7254,6762,5497,5984,4861,5052,7225,7042,6925,7458,5592,5957,7364,6520,4983,5533,4001,3885,3915,3679,5081,5816,6572,7690,5093,5726,5909,5558,6809,6880,6711,7251,3517,3795,2815,3952,7336,7222,5494,5741,6984,6769,6382,7303,6503,6601,6543,6931,5944,5783,6735,6822,3772,3572,3037,3454,5343,5812,6578,6821,7434,7686,6032,5082,3802,3870,2042,2039,5579,5747,5841,5039,6493,7444,5955,5604,7246,6389,7332,6602,3883,3547,3992,3911,3938,3515,3051,3570,5930,5550,6810,7257,6764,7697,4987,5937,5094,5691,7307,7457,5374,4862,5561,5805,3811,3743,3898,3038,6507,6271,5860,5742,3053,3985,3770,3893,7211,6335,7269,6926,6551,6580,5833,4607,6770,7362,5581,5500,6715,6609,5789,5962,6825,6390,6851,7490,6048,5587,5084,5753,3543,3703,3813,4004,5848,5903,6494,7228,6743,6812,7692,6934,5495,5940,7309,7464,6604,7267,5097,5047,5750,6022,7344,6393,3535,3798,3917,3569,6826,7808,5803,5487,2044,2043,3007,3944,6717,7315,6555,6947,5098,5564,7260,6933,7448,6853,6509,6584,5932,5590,5969,5367,6772,6833,5790,4989,3311,3988,3818,3925,6518,7368,6019,5557,6567,7700,5844,5811,6610,6937,5071,5958,3557,3759,3804,3894,4990,5911,7274,6394,6515,7318,5593,5749,3059,4008,3832,3918,6625,6718,7492,6557,3710,3061,4033,3801,7253,6747,6510,7689,5606,5858,7431,7199,6612,7714,5938,5471,6799,7044,6949,6759,3975,3576,38
97,3930,7310,6828,5799,5105,2031,1983,3814,3559,7553,6854,5562,5970,7331,6573,5051,5835,6938,6396,7258,6517,6749,7376,6992,6834,5582,6026,6857,6776,5985,5100,5754,5917,5814,6025,7460,6626,6950,7276,5695,5603,7227,6571,5872,5501,7321,7048,7713,6558,4002,3767,3825,2943,5831,5927,7435,6367,7270,7698,5589,5106,3487,3054,3926,3939,3987,3709,3550,4034,6807,6836,6979,7472,6080,5551,6763,6616,3900,3982,2046,2047,5053,5961,7281,6599,3771,3820,3563,3945,6940,7333,7745,6953,6858,7392,6865,6981,6860,7230,5079,5806,7446,7496,5054,5610,7008,6954,7317,6750,5972,5864,7338,7056,5817,6034,7247,6866,6840,6521,5756,5596,5499,5988,7568,6579,5915,5837,5612,5083,3062,3518,3791,3979,7437,7704,6028,5559,6961,7273,7936,6463,5108,5939,6765,7324,3065,4016,3929,3942,3817,3565,3826,3989,5845,5095,6956,6628,7489,6574,7716,7282,3871,3707,4040,3923,7443,6982,6811,7363,3803,3549,3066,3948,5934,5373,6632,7255,3773,3039,3981,3887,6383,6522,6603,6766,7554,6771,5743,6021,6581,6524,5594,5838,7345,7752,6962,7322,5609,5976,5813,5112,6049,5933,7438,6605,5963,5727,7687,6640,6813,7334,5565,5843,7461,6823,4863,6000,5820,5620,7284,7223,3573,4003,4036,3932,5085,5502,5850,5918,7365,6868,6985,7449,6773,7728,6495,6611,3774,3996,3828,3566,7504,6582,7259,6881,6395,6606,6586,6585,5931,5595,7810,6613,7693,6391,6827,7340,3068,3815,3953,3899,6040,5959,5986,5563,3941,3993,3805,3578,5099,5618,7370,6986,7556,7271,6882,7288,4006,3519,3055,4048,5859,5791,7452,7043,7746,6814,5946,5086,5101,6033,7462,6927,7229,6993,5818,5941,7699,7337,5591,5751,3895,3946,3571,3990,6964,7720,6872,7072,6935,6511,5861,6052,7520,7045,5583,5846,7377,6774,5965,5617,7465,6829,6988,7348,6777,6855,5055,5992,4009,3919,3819,3577,5359,6036,7262,6397,6835,7445,6968,7319,5866,5973,7046,6830,7812,7366,5605,5807,7560,7277,6884,7491,3960,3806,4037,3994,3574,3954,3931,3821,5852,5942,6994,6519,7702,6588,5107,6056,7450,6614,7311,6627,7691,6559,5880,5966,4005,3901,4024,3063,5758,5109,6629,7049,6081,5849,7346,6939,6617,7384,6778,6888,6023,5624,7760,6996,5945,5978,7104,7466,7009,6837,5862,5607,3799,4041,3551,4010,7275,7938,7494,6941,7369,7748,7715,7050,6050,5815,7396,6859,7285,7474,5873,4991,3829,3933,3956,4064,6951,6618,6780,7323,2015,2045,3902,3580,6838,6398,5535,5102,7694,7809,5974,5987,6861,7215,7459,6719,7057,7584,6942,6955,6523,7352,6035,5757,7497,7335,5598,6082,6841,7708,5948,6030,6575,7286,6751,7372,4020,3822,3067,3943,6633,7468,5819,5868,7010,6867,5611,5993,4035,4017,3830,3327,6630,7717,7325,7378,7052,7937,7705,6862,5110,5566,6957,7508,5839,6027,6620,7000,3991,3947,4042,3711,7261,7555,6983,7473,7439,7290,6869,6842,7616,7058,5113,6064,7393,6896,7012,6963,7493,6958,6583,7073,5977,5990,7341,7722,5865,5613,6634,7283,5874,6037,5919,5755,7824,6767,6088,5971,7776,7480,5851,5597,6815,7342,7506,6883,4012,3833,3069,3983,5114,5996,7747,7701,5821,5087,7557,7060,3934,4049,3455,3827,7447,6607,7380,6987,4038,4018,3927,3070,7279,6525,7816,7498,3950,3995,3807,3955,6641,7730,7074,6965,6870,7105,7347,7326,6029,5935,7016,7562,6636,7394,7476,6775,5621,6051,6084,5980,5822,6044,7718,7367,6873,7289,7749,6844,5876,5614,7940,6587,5116,5863,6001,5947,7451,6885,5989,6041,7522,7706,7500,7349,6989,7463,7064,6526,3575,4044,3834,4007,7729,6966,7569,6995,7373,6874,7753,6642,4050,3961,3997,4065,5853,5626,7024,7400,6886,6589,7536,6615,3582,3836,3958,4013,6054,5567,5103,6096,6779,7292,7840,7076,7724,6831,5943,5994,7354,7564,7756,7469,5619,6038,7944,7047,7278,6969,6057,5967,7379,7505,5867,5625,6644,7721,6990,7814,7339,6889,6008,5854,4052,3949,4014,3823,6970,6876,6085,6042,7408,6590,7106,7570,7764,7080,7521,6619,5622,6002,6997,7454,7011,6781,7695,7374,5979,5869,7558,7051,4056,3579,4019,3998,7350,7811,7732,7477,6631,7952,6053,5949,6839,7585,7231,6890,3957,4039,4066,3775,6072,5111,6972,6897,7754,6998,7381,7470,5847,6089,5599,6058,7001,7512,7353,6648,6943,7499,6399,7108,5877,5981,7386,7053,6004,6112,7817,7703,7453,6863,7287,6621,7761,7059,7592,7524,3964,3903,4022,4043,6782,6892,5950,5628,7088,7872,7475,7371,7013,7736,7572,6635,6843,7397,6068,5870,4068,4025,3835,3962,4053,3935,3071,4011,7495,6898,5115,5991,7327,7709,7002,7762,7561,7620,6622,7112,7404,6527,6083,6065,7356,7054,7945,6959,7723,7120,5878,5375,7014,7828,7777,7061,6039,5995,7481,7385,6090,5759,7750,7968,6871,7294,7586,6637,7501,7395,6060,5881,4046,3831,4072,4028,7820,7017,5117,6031,7528,6845,7710,7075,7467,7942,7509,7617,6900,7478,7004,6643,6875,7792,7382,6967,7719,7066,7343,7818,5982,6097,7018,7576,7565,7062,5503,5875,6086,6066,7780,7398,3951,4021,4051,3837,6646,7939,5975,5118,7077,7510,5998,6043,7482,7826,7731,7355,7632,6887,7502,6904,4045,4080,4026,3965,7388,7725,7025,7291,6638,7523,7416,6846,7065,7768,6645,7020,5855,6003,7559,6991,8000,7588,7136,7841,5623,6092,5882,6055,6591,7751,7580,7513,6098,6009,7401,7848,6045,6113,6877,7941,5630,5884,7813,7484,7375,6971,7734,7078,4058,3567,4067,4054,7778,7618,7026,7081,3999,3959,4069,4057,7107,7563,6891,7409,7263,6649,7525,6999,7068,7954,6006,6061,6878,6973,7707,7357,7755,7507,6100,5997,7574,7402,7832,7530,7109,7758,7874,7383,6062,5871,70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シーケンスグループ8: Z8_8192
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シーケンスグループ8: Q8_16384
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894,4907,4475,5304,2686,2796,1854,1532,2992,3776,3379,3275,8563,9366,10285,10340,8673,8766,9540,8605,2917,3640,3476,2539,2747,3301,1972,1774,6257,6298,5449,5287,6223,6413,4793,5660,9301,8795,8558,9737,9479,9247,8660,9762,3399,2802,1019,1895,4527,5238,4703,5324,3231,3613,2906,3666,6252,6722,4585,5420,6368,6310,4962,4819,3465,3524,2526,3016,8847,9092,8997,8807,9358,8876,9601,8902,10880,11265,9379,8621,12804,12337,12362,12560,6663,6696,4582,5669,5277,5330,5004,5889,3308,2431,1987,1969,5657,4814,4909,5460,6339,6414,4572,4952,3260,2958,3849,2863,10291,10388,8986,8444,9306,8565,8797,9424,7185,6785,5213,5507,3627,3024,1782,1279,9040,8882,10286,10315,8905,8824,10506,10513,4935,5425,5391,5242,2918,3732,3681,2965,9508,8674,8998,9324,10757,10344,9275,8619,7180,6667,4821,4794,5568,5010,6419,6724,5345,4848,4964,4915,5445,4910,4535,5025,1943,1899,3385,3289,6435,6203,5293,5674,9369,9096,9761,8606,10402,10293,9483,8415,1994,1663,3654,3872,2775,3198,3490,2541,9318,9746,8855,8884,9027,9520,8811,8664,4586,5235,6313,6704,3405,3299,1964,1785,5776,4719,6258,6421,3724,2921,1021,1935,10433,11272,9329,8647,12448,13314,12808,12576,12816,12480,12832,12358,10392,10317,8988,9381,5728,5432,4767,5294,3432,2749,3614,2979,5458,4835,6300,6231,3371,3846,3413,3521,9793,9001,8906,9440,8913,9029,8908,9278,2804,3382,2908,2547,5699,5653,7296,6341,2779,3696,3286,2871,3623,2970,3247,3722,6260,6314,5509,5012,1886,2001,2922,3480,10404,11008,9494,9544,12332,12419,12369,12338,9056,9002,9365,8798,9386,9104,9295,8914,8888,8569,10508,10514,9616,8627,10758,10294,3469,2966,1407,1779,5399,4559,5332,4939,6205,7186,5231,4477,1990,1970,3684,3302,5768,5450,6675,6669,2550,3843,1879,1022,9485,9752,9009,9321,9984,8511,8813,9372,4593,5682,5026,4917,6786,6425,4822,5057,5299,5278,6422,6670,4968,5514,4588,5346,5428,4727,6321,6437,2981,3414,1902,1947,6532,7201,5670,5319,3386,3730,3635,3259,4825,5241,5701,4796,6235,6728,5892,4539,3536,2791,3406,2808,6913,6342,5403,4837,3292,3629,2929,3195,6316,6264,5474,5658,5452,5301,4941,5415,2542,3427,3320,2750,10323,10297,10761,10352,9004,8676,9537,8622,9764,9330,11264,10375,12361,12303,12608,12421,2969,3672,2549,2924,1759,1907,3463,2895,9491,9030,8859,9411,10318,10529,8680,9303,8431,8570,8651,8814,12340,12311,12422,12672,6345,6480,5016,4478,3904,3492,3040,3745,9602,8819,10434,10325,8629,8572,9393,9800,1527,1996,1786,1959,6206,6426,5681,4918,5521,4947,6287,7173,2495,3655,3484,3417,9010,9370,10516,10762,9486,8653,9735,8688,7188,6247,5325,4826,2002,1913,3305,3752,8861,9382,9509,8871,10298,10408,9332,9271,12364,12425,12370,12344,10379,10339,9413,8916,9033,9497,8821,9776,10326,10300,8543,8659,1949,2017,2781,3845,5705,4594,6322,6438,1534,1788,3717,3388,3279,2875,3638,2982,10520,10329,9552,8630,9307,8929,10530,10769,4976,5352,4838,4541,5488,4567,6237,7202,8443,8654,8634,8633,10764,10436,9858,8661,6788,6346,6736,6467,3682,3522,2930,2985,4731,5244,5792,5028,5676,4783,6536,6441,5306,5516,5708,5421,5896,4999,5230,4921,3011,3467,2795,3313,5331,5457,4596,5673,9741,8439,8875,9388,10381,11280,10341,10387,3167,2553,3429,2903,4942,5766,5291,4841,6914,6251,6324,7424,2972,3858,1910,1965,2782,2877,3611,3261,3659,3411,2004,1901,4922,4828,6295,6353,3478,3306,3736,3434,6428,7171,5360,4542,6792,6238,5058,5522,12315,12385,12327,12547,9418,9034,9604,9319,3013,3662,3778,3287,5716,5032,6348,6442,8930,9336,10416,10382,12372,12426,12433,12549,5473,4571,6544,6752,1966,1775,2986,2932,2008,1531,2554,3375,7233,6496,6469,6677,9500,9091,9794,8862,9510,8975,9277,9041,3637,3852,1971,1950,2797,3418,3688,2993,12317,12331,12386,12803,9747,9385,9012,9768,8920,9120,8983,8559,10770,10561,9568,9093,4949,5406,4963,4733,3014,3504,3729,2803,10271,10440,10330,11296,9425,8822,10785,10532,9513,8877,9036,9396,8825,8903,10562,10772,6299,6354,5647,5326,6449,6691,5510,5003,5302,5763,5684,5429,3314,2907,1909,1991,10503,10389,10342,10345,9310,8445,8883,9493,4583,5904,6444,6253,3475,3641,3436,2988,9016,9367,10544,10536,9094,8878,9860,9414,4791,5537,5183,4842,3262,2878,3857,2959,4924,4849,5706,4950,5333,5422,7192,6328,9608,9325,8932,9539,12376,12428,12318,12434,3669,3630,3880,2919,2018,1727,2687,3528,9042,8567,9750,8636,13316,12359,12550,12553,3746,3383,2936,3420,4953,5464,6678,7204,5305,4600,4895,5451,6681,6259,4351,5060,3293,2527,3470,3316,7234,6311,6369,6470,5338,5005,6450,6916,1916,1855,1974,1995,2994,3780,3725,2798,6301,6800,5769,5655,5405,4815,6473,6254,3850,3674,3441,3017,9498,8662,9359,8675,12449,12864,12333,12388,5239,4573,6261,6356,5713,5011,5544,5476,9739,8607,11270,10403,8677,9097,10332,11273,2020,1977,2556,3661,6315,7182,4734,4844,6920,7208,5040,5824,5427,5323,4965,5688,12928,13313,12339,12436,9394,8987,8665,9432,2909,3494,3905,3387,2805,3430,3018,3748,5524,4587,4795,5349,3291,2967,1787,1914,10287,10507,8826,8936,10625,10786,9808,9044,5447,4850,6474,7297,3642,3481,3874,3552,5279,5661,6370,6693,2923,3683,3307,2910,10564,10448,10626,10390,9152,9514,10393,10405,4954,5714,5513,5572,2005,1887,3968,3723,9057,8885,10346,10295,9323,9986,9542,8989,1023,1963,3493,2806,7187,6682,4574,5064,5356,4479,6531,6452,3197,2996,3407,3864,9417,9796,9763,9098,10568,11328,9444,8907,9333,9522,8999,8666,8828,9371,8886,8446,12334,12363,12554,12561,9742,9857,10776,10817,5308,5006,5897,4911,6360,6560,5675,5072,8909,9263,10788,11274,9507,8767,
9105,9632,6415,6423,4966,5780,5729,5013,6302,6481,3644,3719,3760,3025,6694,6816,7236,6262,5433,5337,6476,6723,3433,2971,3670,3020,5702,5920,4823,5246,5538,4589,5453,5347,8990,9003,8571,9400,12805,12392,12450,12341,6684,7216,5772,4969,3482,3359,1998,1783,10353,10394,9545,9383,10319,10509,8889,9756,6533,6317,5480,4797,3777,2809,3444,2925,12481,13320,12440,12365,8623,9334,8799,9420,7181,6265,5662,5027,2024,1980,3255,3523,5419,5894,5461,5569,6697,6343,4852,5430,4956,4595,6928,6323,4827,5744,5334,4919,10348,10818,8681,9516,10464,10406,9058,8915,3497,3860,3000,3734,5671,5018,5295,5770,2543,3310,1903,1973,3692,3667,3389,3477,10759,10792,8678,9765,9373,9426,9100,9985,3873,2751,3419,3686,6372,6482,4970,5528,5517,5014,6456,7680,3615,3784,2983,3733,6848,7298,5732,5350,3026,3673,2931,2810,6534,6318,4598,5891,6698,6725,5029,5462,9753,8910,9005,9556,10435,10510,8668,9048,3294,2551,3506,2973,7190,6537,5434,5778,6427,6266,6592,6497,3442,3317,2003,1789,11281,10881,9309,9603,12452,13056,14336,14337,9031,9521,9487,9338,12556,12562,12806,12342,5683,5307,5584,4839,5454,4856,6705,7240,11276,10763,8917,8890,9664,9106,10515,10820,2926,3526,2783,3847,5340,5677,4977,5243,9441,8944,9060,9011,9541,9006,8631,9121,1997,2032,3726,3908,6347,6207,4590,5475,12371,12345,12809,12400,10531,10299,9389,9770,5368,4798,6484,6538,7193,7425,5017,5720,8682,9331,10409,10800,9872,8815,10354,10517,9824,9528,8863,9390,9554,8931,10396,10327,4597,4972,6671,6726,5511,4943,5952,5540,5088,5793,6700,6325,1978,1917,3491,3685,6439,7203,6429,6376,2010,1519,3529,3421,9795,9749,11392,10437,13312,12423,12366,12577,4543,5703,5532,5465,6268,6349,5353,5800,3747,3303,3041,3639,6326,6787,4829,5893,10356,10410,9605,9108,9495,8655,9428,9035,3876,3500,2933,2987,7300,6706,5765,5436,5327,4923,5686,5030,3042,3448,3792,3704,10301,11282,9327,8573,9864,9546,10771,10765,12482,12373,12564,12810,12346,12456,12427,12387,3028,3737,2974,2812,6430,6729,5730,5570,3318,2989,3676,3415,3853,3505,2019,2006,8689,9778,9122,9013,10882,10521,8918,9153,6443,6498,7189,6355,3969,3631,3435,3690,4978,5033,6545,7248,6329,7205,5059,5515,1951,1911,3015,3315,4843,5361,6540,6488,9395,9374,10518,10766,9064,9610,8684,9442,9524,8823,10417,10533,12374,12348,12568,12377,10628,11297,9766,9415,8921,9337,9797,8892,3532,3498,2021,2009,5215,4601,5477,4951,6730,6789,5020,5906,7426,6737,6679,6384,10331,10824,9988,8635,11009,10438,9499,8933,7194,6350,4830,4925,5659,5309,6239,6471,10412,10360,9570,9754,9548,9397,9037,9511,2934,2879,3731,3390,5707,5459,6708,6944,12578,12817,12812,12484,10441,10576,9112,8574,5526,5354,5784,5482,5061,5710,5826,5335,6546,6500,5034,4980,3859,2995,3753,3479,4602,5423,5685,5900,2555,3309,3888,2937,10302,10522,9777,9014,9617,9043,10383,11269,6451,6445,6561,7304,4845,5466,6357,7210,11284,10343,9421,8922,9801,8690,10418,10534,12429,13328,12389,12435,9072,9448,8934,8637,3698,3032,3808,3538,3663,2799,1790,2026,9584,8663,10333,11298,12464,12430,12818,12609,10884,10442,10832,10563,12319,12488,12378,13344,3750,2990,3906,3471,6712,7264,5736,5041,3508,3431,3044,3740,6976,6732,5062,5552,8827,9340,9888,9124,9772,8879,10632,10537,5777,4851,7179,7681,3689,3862,3019,3525,6330,6790,5362,4955,1975,2012,3321,3560,9402,9612,9804,9517,9992,9095,9326,9017,3781,2938,3646,3422,6548,7235,6371,7040,12833,12580,12610,12820,9427,9553,8692,9769,9038,9862,9387,8937,11010,10347,10420,11520,12551,12437,12390,12393,9018,8924,10391,10449,1967,1915,2557,3854,3970,3697,2997,3021,6738,6562,5523,5689,5484,5036,6446,6793,10524,11267,9456,8638,10888,10334,9154,9618,5310,4926,6915,6504,5905,5007,5717,5678,9812,9128,10444,10538,9569,8667,10640,10848,6683,6255,5928,4967,7196,6475,4735,5576,5794,5431,4984,5468,5341,4575,5518,5364,3445,3537,3756,3675,7312,6358,5042,5828,6453,7206,5773,4846,5898,5722,7428,6332,11329,10592,10565,10773,9045,9502,9059,8829,3048,3738,2940,3322,3486,3865,3438,3512,2025,2022,3916,2998,6593,7217,5489,5065,6361,6552,6753,6740,4604,5709,6695,6794,10395,10450,9743,9422,10545,10787,9606,9099,9398,9859,9780,9525,12592,12584,13318,12451,3199,3779,3554,3875,6373,6303,4957,5542,8679,10000,10540,10349,12380,13321,12335,12555,8887,9633,9279,8938,12673,12834,12612,12496,6564,6454,5953,5435,3645,2911,1981,1918,9020,8945,9802,9046,9429,9518,11288,10424,2033,1999,3499,2807,7237,6685,4853,5478,7432,6917,5066,5796,3912,3762,3749,3443,12674,12438,12441,12453,12394,12343,12616,13376,9049,9560,10774,11300,9401,8696,8991,9547,6754,6801,6477,7209,3851,3056,3671,3530,10777,10355,8447,9156,12824,12865,12836,13322,11330,10407,10465,10566,9434,9101,10546,11012,10397,10896,9865,9751,9501,8911,10569,10350,5339,5015,6263,7242,5690,5529,5922,5600,4971,5731,5355,4958,3324,2558,3483,3700,9335,8669,10357,10452,9809,9107,9640,9572,6744,6483,6016,5771,3027,3540,3001,3976,10411,11278,8830,8940,11016,11304,9136,9920,7328,6362,5541,4854,3877,3437,3786,2811,6512,6796,5245,5044,5455,5912,7175,6374,9523,9419,9061,9784,9620,8683,8891,9445,5692,5767,5808,5073,2028,1533,3920,3022,12401,12442,12367,12557,9543,8946,10570,11393,3501,3691,3761,3866,6535,6457,5481,5019,5718,5068,6594,6686,5530,5407,7682,6478,3263,3450,3677,3568,5825,4857,5492,4973,7220,6377,6699,6918,3878,3739,3002,3507,6319,6267,7299,6802,5303,5571,6756,6485,14338,14340,12396,12866,9375,9757,10466,10789,3782,2927,3029,3553,5545,5908,5048,5782,9050,9810,9609,9668,12512,12454,12807,12840,6921,6364,4591,5358,2011,1982,3754,3030,6458,7249,5740,5715,6568,7212,5437,5525,12483,12558,13329,12929,11283,10778,8670,9160,9452,8575,10627,10548,13324,12811,12563,12868,6539,6817,5921,4799,3972,2975,3881,3687,9404,9102,9993,9007,10456,10656,9771,9168,10511,10519,9062,9876,9825,9109,10398,10577,3495,3794,2034,1979,5467,5734,5663,5832,10790,10912,11332,10358,9529,9433,10572,10819,9798,10016,8919,9342,9634,8685,9549,9443,3391,3727,3868,3809,6727,6499,5031,5781,10780,11312,9868,9065,10629,10413,9576,8893,5074,5721,7440,7238,4979,4858,5342,4599,12579,12347,14344,14352,11277,10361,9758,9123,3527,3323,3043,3788,6431,6327,5554,5021,12457,12848,12402,12565,9515,9990,9557,9665,3449,3936,2813,3004,5490,5365,6378,7195,10793,10439,8948,9526,9052,8691,11024,10419,8923,9840,9430,9015,12444,12375,13440,12485,4974,5574,4831,5895,3544,3909,2935,3485,9767,9114,9391,9866,12404,12458,12349,13330,6269,6701,7360,6804,6760,6486,5774,5956,6460,7301,6385,6922,6707,7218,5539,5733,3033,3768,3045,3678,6489,6596,5577,5469,6541,6547,7256,6351,3861,3510,2023,2013,10468,10578,9066,9624,9613,9110,10552,11776,5795,5351,5089,5687,5924,5548,7684,6818,12819,12813,12930,12569,10944,11394,9828,9446,4981,5035,5090,5496,3446,3693,2036,2007,10630,10414,8694,9987,10794,10821,9125,9558,6702,6929,7244,6576,3896,3735,3295,3764,5840,5752,7183,6501,6331,7306,5076,5785,12566,12814,12465,12581,11286,10633,9530,9874,5022,4860,6380,6808,5366,5037,5724,5463,5901,5553,7456,6768,3984,3034,3531,3699,10523,10362,10688,10593,9779,9403,9680,8935,6731,6924,7224,7266,3793,2991,3907,3556,6017,5679,6849,6270,3882,3502,2939,3889,9550,8952,10801,11336,9436,9773,9073,9339,5483,5738,6386,7207,5063,5363,6709,6542,12676,13345,14368,14339,10443,10303,8686,9571,5580,5546,6490,6600,3046,3643,3326,2814,4982,4927,5779,5438,3513,3757,3812,3694,12379,12872,13057,12486,9464,8894,10580,10634,11289,11521,9113,9816,8693,9068,10767,10822,9607,9039,10048,9636,9184,9889,10796,10421,12460,12408,12489,12624,10535,11299,10525,10472,5907,5043,6502,6549,6447,6713,7688,6388,8639,9799,9628,9561,10364,10445,9449,9896,5801,5527,7302,7241,6739,7427,4603,5357,2030,2014,3785,2559,5936,4985,6333,6710,10422,10883,8925,9989,11396,10802,9861,9532,3533,3452,3741,3914,5746,5080,5856,5586,9423,9019,9782,9126,12350,12570,12431,13317,6820,7313,7198,7252,5711,4847,6505,6850,10526,10825,9826,9666,13332,12391,12466,12582,6733,7488,6359,6930,5798,5038,5954,5519,10539,10594,11285,10451,9074,9129,10641,11344,6791,6492,5556,5479,2040,1535,4000,3539,6563,6550,5092,5788,5737,5910,5067,5573,6608,6824,5369,5608,5829,4986,5694,5470,10425,11301,9155,9611,8939,9457,10636,10584,3036,3705,3800,3855,6945,7213,6506,7308,3447,3892,3049,2999,4605,5902,6734,6553,12381,13346,12932,12490,12880,12611,12680,12585,3702,3974,3755,3439,3050,3516,3884,3542,7430,6714,6018,5745,3921,3319,3742,2941,9311,8697,9573,9047,10826,10885,9116,10002,7265,6932,7696,7250,3971,3509,3796,3763,5045,5069,6741,7219,6716,7330,5493,5585,11522,10833,10775,10480,14341,14400,13058,12395,2027,2029,3023,3910,6363,6455,6852,6742,2942,3863,2035,2037,7433,6745,5804,5723,11290,10446,8926,9021,9755,9405,10335,10567,12468,13568,12439,12497,9803,9555,10804,11040,9622,9450,9880,9578,9157,9806,9922,9431,6795,6565,5096,5786,6936,6946,4988,5370,10642,10596,9130,9076,12572,13315,12936,12382,8698,9519,9781,9996,10547,10541,10657,11400,8941,9562,10453,11306,12492,12586,12688,12896,6755,7191,5534,5913,6746,7316,6554,6375,10808,11360,9832,9137,11072,10828,9158,9648,5486,5560,6832,6797,5964,5046,5247,5827,9873,8947,11275,11777,10426,10886,9458,9051,13377,12640,12613,12821,10644,11331,10467,11136,5602,5923,5693,4959,7272,6392,7214,6513,3545,3701,3558,3810,5547,4855,6334,6508,5960,5810,7712,6798,7239,6803,5797,5491,12443,12498,12593,12835,10834,10658,9619,9785,3890,3423,3751,3057,3514,3922,3003,3787,3534,3978,3937,3052,7305,6479,6624,6459,9580,9132,10542,10889,9406,9022,11011,10600,12588,12397,13336,12472,10001,9103,9813,9774,5899,5104,6365,6514,7429,6757,5719,5578,12822,13348,12825,12403,10779,10351,10024,9063,11292,10571,8831,9672,13378,12455,12513,12614,3706,3869,3766,3977,7552,6566,5372,4606,1791,2038,3647,3555,3824,3453,3783,3879,9890,9527,9080,9564,9437,8671,9614,9460,6569,6595,5531,5748,3541,3058,4032,3503,7221,6758,6687,7442,6379,6556,6487,6516,5075,5588,7329,6919,5049,6024,5925,5485,12594,13060,12445,12944,11408,10454,9138,9924,10549,11302,9869,8942,9994,9818,11524,10428,12617,12398,14345,14342,12405,12500,12459,13326,6461,7683,5834,4859,6366,7243,5968,5070,10689,11313,9585,9161,10457,10648,10849,10836,6570,6597,5549,5739,6381,7268,5809,5914,8700,9805,10791,10890,13064,13352,12618,13441,3005,3913,3031,3758,5311,5498,6703,7314,10469,10399,9053,9638,10660,10550,10049,9531,5725,5616,5926,5787,7436,6977,5050,5555,11333,10781,8949,9574,11528,11013,9162,9892,3006,3562,3924,3816,2041,1919,3769,3986,5830,4975,6948,6856,7226,6978,5077,5601,6805,7197,5802,5078,3708,3548,3451,3940,10850,10897,10573,11305,9435,9111,10359,
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シーケンスグループ8: Z8_16384
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この出願の複数の実施形態は、通信技術の分野に関し、特に、ポーラ符号の符号化方法及び装置に関する。
チャネル符号化は、最も基本的な無線アクセス技術として、信頼性の高いデータ伝送を保証する際には不可欠である。既存の無線通信システムにおいて、ターボ符号、低密度パリティチェック(low density parity check, LDPC)符号、及びポーラ(polar)符号は、通常、チャネル符号化を実行するのに使用される。ターボ符号は、極端に低い又は極端に高い符号レートでの情報伝送をサポートすることが不可能である。ターボ符号及びLDPC符号の符号化/復号化の特徴に起因して、中程度のパケット伝送及び短いパケット伝送については、符号長が限定されている場合に、ターボ符号及びLDPC符号が理想的な性能を達成することは困難である。実装の際に、ターボ符号及びLDPC符号は、符号化/復号化実装プロセスにおいて高い計算複雑性を有する。ポーラ符号は、シャノン容量を達成することが可能であることが理論的に立証されているとともに、低い符号化/復号複雑性を有する高性能符号であり、したがって、ますます広く適用されている。
第5世代(5th generation, 5G)通信システムにおいて、ポーラ符号は、制御チャネルの符号化スキームとして決定される。制御チャネルの中に含まれるデータ量は、通常、大きくないので、符号ブロックは、大きくない。3GPP規格の場合には、マザー符号長さがNmax=1024である信頼性ランキングシーケンスのみを指定し、その信頼性ランキングシーケンスは、1024個のサブチャネルの信頼性をソートして情報ビットの位置を選択するのに使用される。マザー符号長さNが1024よりも小さい他の場合については、対応する信頼性ランキングシーケンスとして、Nmax=1024である信頼性ランキングシーケンスの部分シーケンスを使用することによってもよい。このシーケンスネスト機能を使用することによって、システム設計を単純化することが可能である。
一方で、データチャネルの符号化の際に、複数の場合に、符号化のために長い符号ブロックを使用する必要がある。この場合には、依然としてNmax=1024である信頼性ランキングシーケンスを使用するのは十分ではない。したがって、データチャネルの要求を満たす長い信頼性ランキングシーケンスをどのように設計するかは、解決する必要がある問題となっている。
この出願の複数の実施形態は、無線通信に適用されて、大きなデータブロックのポーラ符号の符号化をサポートするとともに、既存のNRシステムがサポートする信頼性ランキングシーケンスとの後方互換性を可能にするポーラ符号の符号化方法及び装置を提供する。このことは、従来の技術を最大限に再利用する。
この出願の複数の実施形態によって提供される特定の技術的解決方法は、以下のようになる。
第1の態様によれば、以下のことを含むポーラ符号の符号化方法が提供される。
符号化装置は、K個の符号化されるべきビット、マザー符号長さN、及び第1のシーケンスを取得し、前記第1のシーケンスは、N個の偏波サブチャネルのシーケンス番号を含み、前記N個の偏波サブチャネルの前記シーケンス番号は、前記N個の偏波サブチャネルの信頼性に基づいて、前記第1のシーケンスの中に配列され、N=2nであり、且つ、K≦Nであり、Nは、32以上であり、K、n、及びNは、正の整数であり、
前記第1のシーケンスに基づいて、前記K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、前記K個の符号化されるべきビットに対して極性符号化を実行して、符号化されているビットシーケンスを取得し、
前記符号化されているシーケンスに対してレートマッチングを実行して、レートマッチングされているシーケンスを取得し、
前記レートマッチングされているシーケンスを出力し、
前記第1のシーケンスは、前記付録の中で長さがNであるいずれかのQシーケンスである。
この設計は、大きなデータブロックの特徴に適合し、既存のNRシステムがサポートする信頼性ランキングシーケンスとの間で後方互換性を有することが可能である。このことは、実装の際の困難さを減少させる。
ある1つの可能な設計において、前記第1のシーケンスは、第2のシーケンスの部分シーケンスであり、前記第2のシーケンスは、Nmax個の偏波サブチャネルのシーケンス番号を含み、前記Nmax個の偏波サブチャネルの前記シーケンス番号は、前記Nmax個の偏波サブチャネルの信頼性に基づいて、前記第2のシーケンスの中に配列され、Nは、Nmax以下であり、且つ、
Figure 2023539547000033
であり、nmaxは、正の整数であり、nは、nmax以下であり、前記第2のシーケンスは、前記付録の中で長さがNmaxであるいずれかのQシーケンスである。
ある1つの可能な設計において、前記K個の符号化されるべきビットは、巡回冗長検査ビットを含む。
ある1つの可能な設計において、前記K個の符号化されるべきビットは、パリティチェックビットを含む。
ある1つの可能な設計において、前記ポーラ符号化方法は、ネットワークデバイス又は端末によって実行される。
ある1つの可能な設計において、前記第1のシーケンスに基づいて、前記K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定する前記ステップは、MがN以下であるときに、M-P個のパンクチャリングされていない偏波サブチャネルのうちで信頼性の高い前記K個の偏波サブチャネルへと、前記K個の符号化されるべきビットをマッピングして、前記K個の符号化されるべきビットを含む前記偏波サブチャネルの信頼性が、残りのM-P-K個の偏波サブチャネルの信頼性よりもより高くなることを可能とするステップであり、Mは、ターゲット符号長さであり、Pは、あらかじめ凍結されている偏波サブチャネルの数であり、Pは、0以上である。
ある1つの可能な設計において、前記第1のシーケンスは、あらかじめ格納されている。
ある1つの可能な設計において、前記N個の偏波サブチャネルの前記シーケンス番号は、0乃至(N-1)又は1乃至Nの範囲にある。
第2の態様によれば、以下のことを含むポーラ符号の復号化方法が提供される。
復号化装置は、復号化されるべき情報シーケンスを取得し、前記復号化されるべき情報シーケンスは、K個の復号化されるべきビットを含み、
マザー符号長さN及び第1のシーケンスを決定し、前記第1のシーケンスは、N個の偏波サブチャネルのシーケンス番号を含み、前記N個の偏波サブチャネルの前記シーケンス番号は、前記N個の偏波サブチャネルの信頼性に基づいて、前記第1のシーケンスの中に配列され、N=2n、K≦Nであり、Nは、32以上であり、K、n、及びNは、正の整数であり、
前記第1のシーケンスに基づいて、前記K個の復号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、前記復号化されるべき情報シーケンスを復号化して、復号化結果を取得し、
前記復号化結果を出力し、
前記第1のシーケンスは、前記付録の中で長さがNであるいずれかのQシーケンスであるか、又は、前記付録の中で長さがNよりも長いいずれかのQシーケンスの部分シーケンスである。
この設計は、第1の態様にしたがった符号化方法に完全に対応し、大きなデータブロックの特徴に適合し、既存のNRシステムがサポートする信頼性ランキングシーケンスとの間で後方互換性を有することが可能である。このことは、実装の際の困難さを減少させる。
ある1つの可能な設計において、前記第1のシーケンスは、第2のシーケンスの部分シーケンスであり、前記第2のシーケンスは、Nmax個の偏波サブチャネルのシーケンス番号を含み、前記Nmax個の偏波サブチャネルの前記シーケンス番号は、前記Nmax個の偏波サブチャネルの信頼性に基づいて、前記第2のシーケンスの中に配列され、Nは、Nmax以下であり、且つ、
Figure 2023539547000034
であり、nmaxは、正の整数であり、nは、nmax以下であり、前記第2のシーケンスは、前記付録の中で長さがNmaxであるいずれかのQシーケンスである。
ある1つの可能な設計において、前記K個の復号化されるべきビットは、巡回冗長検査ビットを含む。
ある1つの可能な設計において、前記K個の復号化されるべきビットは、パリティチェックビットを含む。
ある1つの可能な設計において、前記ポーラ符号化方法は、ネットワークデバイス又は端末によって実行される。
ある1つの可能な設計において、前記第1のシーケンスに基づいて、前記K個の復号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定する前記ステップは、MがN以下であるときに、M-P個のパンクチャリングされていない偏波サブチャネルのうちで信頼性の高い前記K個の偏波サブチャネルへと、前記K個の符号化復号化されるべきビットをマッピングして、前記K個の符号化復号化されるべきビットを含む前記偏波サブチャネルの信頼性が、残りのM-P-K個の偏波サブチャネルの信頼性よりもより高くなることを可能とするステップであり、Mは、ターゲット符号長さであり、Pは、あらかじめ凍結されている偏波サブチャネルの数であり、Pは、0以上である。
ある1つの可能な設計において、前記第1のシーケンスは、あらかじめ格納されている。
ある1つの可能な設計において、前記N個の偏波サブチャネルの前記シーケンス番号は、0乃至(N-1)又は1乃至Nの範囲にある。
第3の態様によれば、ポーラ符号の符号化装置が提供される。当該装置は、第1の態様及び第1の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実装する機能を有する。この機能は、ハードウェアによって実装されてもよく又は対応するソフトウェアを実行するハードウェアによって実装されてもよい。ハードウェア又はソフトウェアは、上記の機能に対応する1つ又は複数のモジュールを含む。
ある1つの可能な設計において、ハードウェアを使用することによって、複数の機能のうちの一部又はすべてを実装するときに、ポーラ符号の符号化装置は、符号化されるべきビットを取得するように構成される入力インターフェイス回路、第1の態様及び第1の態様の複数の可能な設計のうちのいずれかの1つにしたがって操作を実行するように構成される論理回路、及び、レートマッチングされているシーケンスを出力するように構成される出力インターフェイス回路を含む。
選択的に、ポーラ符号の符号化装置は、チップ又は集積回路であってもよい。
ある1つの可能な設計において、ソフトウェアを使用することによって、複数の機能のうちの一部又はすべてを実装するときに、ポーラ符号の符号化装置は、プログラムを格納するように構成されるメモリ、及び、そのメモリの中に格納されているプログラムを実行するように構成されるプロセッサを含む。プログラムが実行されるときに、ポーラ符号の符号化装置は、第1の態様及び第1の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実装してもよい。
選択的に、メモリは、物理的に独立しているユニットであってもよく、又は、プロセッサと一体化されていてもよい。
ある1つの可能な設計において、複数の機能のうちの一部又はすべてがソフトウェアを使用することによって実装されるときに、ポーラ符号の符号化装置は、プロセッサを含む。プログラムを格納するように構成されるメモリは、ポーラ符号の符号化装置の外部に位置し、プロセッサは、回路/ケーブルによってメモリに接続されて、メモリの中に格納されているプログラムを読み出し及び実行するように構成される。
ある1つの可能な設計において、当該装置は、ネットワークデバイス又は端末である。
第4の態様によれば、ポーラ符号の復号化装置が提供される。当該装置は、第2の態様及び第2の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実装する機能を有する。その機能は、ハードウェアによって実装されてもよく、又は、対応するソフトウェアを実行するハードウェアによって実装されてもよい。ハードウェア又はソフトウェアは、上記の機能に対応する1つ又は複数のモジュールを含む。
ある1つの可能な設計において、ハードウェアを使用することによって、複数の機能のうちの一部又はすべてを実装するときに、ポーラ符号の復号化装置は、復号化されるべき情報シーケンスを取得するように構成される入力インターフェイス回路、第2の態様及び第2の態様の複数の可能な設計のうちのいずれかの1つにしたがって操作を実行するように構成される論理回路、及び、復号化結果を出力するように構成される出力インターフェイス回路を含む。
選択的に、ポーラ符号の復号化装置は、チップ又は集積回路であってもよい。
ある1つの可能な設計において、ソフトウェアを使用することによって、複数の機能のうちの一部又はすべてを実装するときに、そのポーラ符号の復号化装置は、プログラムを格納するように構成されるメモリ、及びメモリの中に格納されているプログラムを実行するように構成されるプロセッサを含む。プログラムが実行されるときに、ポーラ符号の復号化装置は、第2の態様及び第2の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実装してもよい。
選択的に、メモリは、物理的に独立しているユニットであってもよく、又は、プロセッサと一体化されていてもよい。
ある1つの可能な設計において、複数の機能のうちの一部又はすべてがソフトウェアを使用することによって実装されるときに、ポーラ符号の復号化装置は、プロセッサを含む。プログラムを格納するように構成されるメモリは、ポーラ符号の復号化装置の外部に位置し、プロセッサは、回路/ケーブルによってメモリに接続されて、メモリの中に格納されているプログラムを読み出し及び実行するように構成される。
ある1つの可能な設計において、当該装置は、ネットワークデバイス又は端末である。
第5の態様によれば、通信システムが提供される。通信システムは、ネットワークデバイス及び端末を含む。ネットワークデバイスは、第1の態様及び第1の態様の複数の可能な設計にしたがった方法を実行し、端末は、第2の態様及び第2の態様の複数の可能な設計にしたがった方法を実行する。代替的に、端末は、第1の態様及び第1の態様の複数の可能な設計にしたがった方法を実行し、ネットワークデバイスは、第2の態様及び第2の態様の複数の可能な設計にしたがった方法を実行する。
第6の態様によれば、コンピュータ記憶媒体が提供され、当該コンピュータ記憶媒体は、コンピュータプログラムを格納する。そのコンピュータプログラムは、第1の態様及び第1の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実行するのに使用される命令を含む。
第7の態様によれば、コンピュータ記憶媒体が提供され、当該コンピュータ記憶媒体は、コンピュータプログラムを格納する。そのコンピュータプログラムは、第2の態様及び第2の態様の複数の可能な設計のうちのいずれか1つにしたがった方法を実行するのに使用される命令を含む。
第8の態様によれば、この出願のある1つの実施形態は、命令を含むコンピュータプログラム製品を提供する。それらの命令がコンピュータによって実行されるときに、そのコンピュータが、上記の複数の態様における方法を実行することを可能とする。
第9の態様によれば、符号化装置及びトランシーバーを含む無線デバイスが提供され、それらの符号化装置及びトランシーバーは、第1の態様及び第1の態様の複数の可能な設計のうちのいずれか1つを実装するように構成される。
トランシーバーは、信号を受信し又は送信するように構成される。
ある1つの可能な設計において、無線デバイスは、端末又はネットワークデバイスである。
第10の態様によれば、復号化装置及びトランシーバーを含む無線デバイスが提供され、それらの復号化装置及びトランシーバーは、第2の態様及び第2の態様の複数の可能な設計のうちのいずれか1つを実装するように構成される。
トランシーバーは、信号を受信し又は送信するように構成される。
ある1つの可能な設計において、無線デバイスは、端末又はネットワークデバイスである。
この出願のある1つの実施形態が適用される通信システムのアーキテクチャの概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の符号化方法の概略的なフローチャートである。 この出願のある1つの実施形態にしたがったポーラ符号の符号化装置の構成の第1の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の符号化装置の構成の第2の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の符号化装置の構成の第3の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の符号化装置の構成の第4の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の復号化装置の構成の第1の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の復号化装置の構成の第2の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の復号化装置の構成の第3の概略的な図である。 この出願のある1つの実施形態にしたがったポーラ符号の復号化装置の構成の第4の概略的な図である。
以下の記載は、複数の添付の図面を参照して、この出願の複数の実施形態を詳細に説明する。
既存の5G NR規格における制御チャネルのために使用されるポーラ符号の符号化スキームが、データチャネルの特徴を考慮することなく、直接的に、データに適用される場合に、現行の5G NR規格においては、ポーラ符号の最大マザー符号長さが1024となるという理由から、サポートすることが可能であるデータパケット長さは制限される。したがって、データチャネルにより適するポーラ符号の符号化スキームを再設計する必要がある。加えて、ポーラ符号の符号化スキームが制御チャネルに適用可能であるということが最適である。
この出願の複数の実施形態は、ポーラ符号の符号化方法及び装置を提供する。情報ビットを送信するのに使用される偏波サブチャネルのシーケンス番号は、あらかじめ格納されている信頼性ランキングシーケンス又はその信頼性ランキングシーケンスの部分シーケンスに基づいて選択され、ポーラ符号の符号化は、情報偏波サブチャネルの選択されているシーケンス番号に基づいて実行される。その次に、符号化されているシーケンスに対してレートマッチング操作を実行し、そして、レートマッチングされているシーケンスを出力し、レートマッチング操作は、反復、パンクチャリング、又は短縮を含む。この出願の複数の実施形態は、データチャネルにより適用可能である。以下の記載は、複数の添付の図面を参照して、この出願の複数の実施形態によって提供されるポーラ符号の符号化方法及び装置を詳細に説明する。
この出願の複数の実施形態を理解する便宜上、以下で、ポーラ符号を簡単に説明する。
ポーラ符号の符号化ポリシーによれば、無雑音チャネルは、ユーザにとって有用な情報を伝送するのに使用され、一方で、純粋な雑音チャネルは、合意された情報を伝送するのに使用されるか、又は、情報を伝送するのには使用されない。ポーラ符号は、また、線形ブロック符号である。ポーラ符号の符号化行列は、GNであり、符号化プロセスは、
Figure 2023539547000035
となる。
Figure 2023539547000036
は、長さがN(すなわち、符号長さ)である2進列ベクトルである。符号化の前及び後のシーケンスx及びuの長さは、双方ともNであり、Nは、また、マザー符号長さと称されるということを知ることが可能である。GNは、N×N行列であり、
Figure 2023539547000037
である。
Figure 2023539547000038

は、log2N個の行列F2のクロネッカー(Kronecker)積として定義される。その行列は、
Figure 2023539547000039
である。複数の実装のうちのいくつかにおいて、
及び GNの転置行列が存在する場合がある。本質的にポーラ符号の性能に影響を与えないので、この出願においては、詳細は説明されない。
ポーラ符号の符号化プロセスにおいて、
の中のビットのある1つの部分は、情報を搬送するのに使用され、情報ビットのセットと称され、ビットのインデックスのセットは、Aとして示され、ビットの他の部分は、受信端と送信端との間であらかじめ合意されている固定値に設定され、固定ビットのセット又は凍結されているビット(frozen bits)のセットと称され、ビットのインデックスのセットは、Aの相補的なセットACによって示される。ポーラ符号の符号化プロセスは、
と同等である。本明細書においては、GN(A)は、GNの中でセットAの中のインデックスに対応する行を使用することによって得られる部分行列であり、GN(AC)は、GNの中でセットACの中のインデックスに対応する行を使用することによって得られる部分行列であり、uAは、
の中の情報ビットのセットであり、情報ビットの数は、Kである。通常、これらには限定されないが、巡回冗長検査(Cyclic Redundancy Check, 略称、CRC)ビット及びパリティチェック(Parity Check, 略称、PC)ビットを含むさまざまなタイプの検査ビットは、また、情報ビットのセットの中に含まれてもよい。
は、
の中の凍結されているビットのセットであり、凍結されているビットの数は、(N-K)であり、凍結されているビットは、既知のビットである。これらの凍結されているビットは、通常、0に設定される。一方で、それらの凍結されているビットの値は、その値が受信端及び送信端によってあらかじめ合意されている限りは、任意の値に設定されてもよい。したがって、ポーラ符号の符号化出力は、
のように単純化されてもよい。本明細書においては、uAは、
の中の情報ビットのセットであり、uAは、長さKの行ベクトルである、すなわち、|A|=Kである。
は、そのセットの中の要素の数を示し、Kは、情報ブロックサイズであり、GN(A)は、行列GNの中でセットAの中のインデックスに対応する行を使用することによって得られる部分行列であり、GN(A)は、K×N行列である。
マザー符号長さNを決定した後に、ポーラ符号の構築プロセスは、セットAの選択プロセスであり、ポーラ符号の性能を決定する。ポーラ符号の構築プロセスは、通常、マザー符号長さNに基づいて、N個の偏波チャネルが併存するということを決定するというプロセスであり、N偏波チャネルは、それぞれ、符号化行列の中のN個の行に対応する。
レートマッチングを実行しないときに、セットAの要素として、信頼性の高い第1のK個の偏波サブチャネルのインデックスを使用し、凍結されているビットのインデックスセットACの要素として、残りの(N-K)個の偏波サブチャネルに対応するインデックスを使用する。そのセットAは、情報ビットの位置を決定し、セットACは、凍結されているビットの位置を決定する。偏波チャネルのシーケンス番号は、情報ビット又は凍結されているビットの位置インデックスである、すなわち、
の中の位置インデックスである。
レートマッチングを実行するときに、特に、パンクチャリング(puncture)又は短縮化(shorten)を実行するときに、通常、パンクチャリングする又は短縮化をする(すなわち、削除する)必要があるN-M個の偏波サブチャネルを最初に決定する。本明細書においては、Mは、ターゲット符号長さである、すなわち、レートマッチングされているビットシーケンスの長さであり、本明細書において選択されるN-M個の偏波サブチャネルは、凍結されているビットを収容するのに使用される。5G NR規格においては、パンクチャリングを実行するときに、さらに、追加的に、あらかじめ凍結されている偏波サブチャネルのいくつかを決定し、それらのあらかじめ凍結されている偏波サブチャネルのいくつかは、また、凍結されているビットを収容するのに使用される。本明細書においては、あらかじめ凍結されている偏波サブチャネルの数は、Pとして定義され、Pは、0以上である(5G NRにおいては、短縮化を実行するときに、Pは、0であり、この場合には、Pを考慮しなくてもよい。このことは、この出願においては限定されない)。その次に、信頼性に基づいて、残りのM-P個の偏波サブチャネルから、信頼性の高いK個の偏波サブチャネルを選択して、K個の情報ビットを収容する。もちろん、代替的に、凍結されているビットを収容するために、最初に、信頼性の低いM-P-K個のサブチャネルを選択してもよく、その結果、残りのK個のサブチャネルは、情報ビットを収容するのに使用される。K個の情報ビットを収容するK個の偏波サブチャネルのうちの任意の偏波サブチャネルの信頼性は、凍結されているビットを収容するM-P-K個のサブチャネルのうちの任意のサブチャネルの信頼性よりもより高い。この出願においては、Pの値は、限定されない。パンクチャリングを実行するときであっても、Pは、0であってもよい。短縮化を実行するときであっても、Pは、0よりも大きくてもよい。このことは、この出願におけ複数のる技術的解決方法の実装には影響を与えない。エンコーダであるか又はデコーダであるかにかかわらず、K個のサブチャネルがK個の情報ビットを収容するのに使用されるということを決定するための原理及び方法は、一貫している。5G NR規格においては、N-M個の偏波サブチャネルの選択の場合には、ある1つの解決方法は、循環バッファ(英文: circular buffer, レートマッチングされているシーケンスに相当する)の中に、(32個のサブブロックに分割する)サブブロックインターリーブ後に得られるシーケンスを収容することである。パンクチャリングを実行する場合には、循環バッファの中への読み込みは、(N-M)番目の位置から開始し、その結果、0番目の位置から(N-M-1)番目の位置までのビットは、破棄される。短縮化を実行する場合には、読み込みは、循環バッファの中の0番目の位置から(M-1)番目の位置に及ぶように開始し、その結果、M番目の位置から(N-1)番目の位置までのビットは、破棄される。一般的に、長さがマザー符号長さNである信頼性ランキングシーケンスは、複数の異なる偏波サブチャネルの間の相対的な信頼性関係を表すのに使用される。信頼性ランキングシーケンスは、N個の偏波サブチャネルの(0から開始してN-1に及ぶ)シーケンス番号を含み、それらのシーケンス番号は、信頼性の大きい順に又は信頼性の小さい順に配列されてもよい。一般性を損なうことなく、この出願は、シーケンス番号が信頼性の小さい順に配列されるある1つの例を使用する。
本明細書において説明されている相対的な信頼性関係は、ある特定の信頼性計算方式に基づいているということに留意するべきである。複数の異なる信頼性計算方式は、複数の偏波サブチャネルの間の相対的な信頼性関係の変化を生じさせる場合がある。ところが、情報ビットを収容するのに使用される偏波サブチャネルを選択する方法は同じである。5G NR規格に加えて、また、情報ビットが最後にパンクチャリングされている又は短縮化されている偏波サブチャネルの中に収容されていると考えてもよい。この出願においては、5G NR規格にしたがって、情報ビットを含む偏波サブチャネルを選択する必要があるということは限定されない。
5G NR規格においては、複数の異なるマザー符号長さに対応する信頼性ランキングシーケンスが、ネスティング特徴を満たす、すなわち、マザー符号長さNがマザー符号長さN'以下であるときに、Nに対応する信頼性ランキングシーケンスにおける偏波サブチャネル(偏波サブチャネル0,…,N-1)の信頼性の間の相対的な関係は、N'に対応する信頼性ランキングシーケンスにおける偏波サブチャネル(偏波サブチャネル0,…,N-1)の信頼性の間の相対的な関係と一致する。言い換えると、N'に対応する信頼性ランキングシーケンスにおいて、Nよりも小さい偏波サブチャネルの番号のみが保持され、N個の偏波サブチャネルの複数の番号の位置の間の相対的なランキング関係は、変化しない。このように、Nに対応する信頼性ランキングシーケンスを取得してもよい。したがって、長さがNである信頼性ランキングシーケンスは、長さがN'である信頼性ランキングシーケンスの部分シーケンスと称されてもよく、Nは、N'以下である。例えば、N'=8であり、信頼性ランキングシーケンス1は、[0,4,6,2,3,1,7,5]である。同様に、N=4であり、且つ、信頼性ランキングシーケンス2が[0,2,3,1]である場合に、シーケンス2は、シーケンス1の部分シーケンスとなっている。したがって、特定の実装においては、複数の異なるマザー符号長さの信頼性ランキングシーケンスをあらかじめ格納してもよい。代替的に、長さが最大マザー符号長さNmaxに等しい信頼性ランキングシーケンスのみをあらかじめ格納してもよく、マザー符号長さNに対応する他の信頼性ランキングシーケンスは、最大マザー符号長さに対応する信頼性ランキングシーケンスにおいてNよりも小さい偏波サブチャネルのシーケンス番号のみを保持することによって得られる。このように、ストレージのオーバーヘッドを減少させることが可能である。特に、シーケンスは、また、そのシーケンスの部分シーケンスであってもよい。したがって、Nの最大値は、Nmaxに等しくてもよい。
図1は、本発明のある1つの実施形態にしたがった無線通信ネットワークの構成の概略的な図である。図1は、ある1つの例であるにすぎず、この出願の複数の実施形態における符号化方法又は符号化装置を適用することが可能である他の無線ネットワークは、本発明の保護の範囲の中に含まれるものとする。
図1に示すように、無線通信ネットワーク100は、ネットワークデバイス110及び端末112を含む。無線通信ネットワーク100がコアネットワーク102を含むときに、ネットワークデバイス110は、さらに、コアネットワーク102に接続されてもよい。ネットワークデバイス110は、さらに、インターネット(Internet)、プライベートIPネットワーク、又は他のデータネットワーク等のIPネットワーク104との間で通信してもよい。ネットワークデバイスは、カバレッジの中の端末にサービスを提供する。例えば、図1を参照するべきである。ネットワークデバイス110は、ネットワークデバイス110のカバレッジの中の1つ又は複数の端末112に無線アクセスを提供する。加えて、例えば、ネットワークデバイス110及びネットワークデバイス120等のネットワークデバイスのカバレッジは、重複領域を有してもよい。ネットワークデバイスは、さらに、互いに通信してもよい。例えば、ネットワークデバイス110は、ネットワークデバイス120と通信してもよい。
ネットワークデバイスは、端末デバイスとの間で通信するように構成されるデバイスであってもよい。例えば、ネットワークデバイスは、LTEシステムにおける進化型NodeB(Evolved NodeB, eNB, 又は、eNodeB)であってもよく、5Gネットワークの中のgNBであってもよく、衛星通信における衛星であってもよく、又は、将来的な通信システムにおけるネットワーク側デバイス等であってもよい。代替的に、ネットワークデバイスは、中継局、アクセスポイント、又は、車載型デバイス等であってもよい。デバイス間(Device to Device, D2D)通信システム、マシン間(Machine to Machine, M2M)通信システム、及び車両のインターネットシステムにおいて、ネットワークデバイスは、代替的に、基地局として機能する端末であってもよい。
端末は、ユーザ機器(User Equipment, UE)、アクセス端末、加入者ユニット、移動局、遠隔局、遠隔端末、モバイルデバイス、ユーザ端末、無線通信デバイス、ユーザエージェント、又はユーザ装置であってもよい。アクセス端末は、セルラー電話、コードレス電話、セッション開始プロトコル(Session Initiation Protocol, SIP)電話、無線ローカルループ(Wireless Local Loop, WLL)局、パーソナルディジタルアシスタント(Personal Digital Assistant, PDA)、無線通信機能を有するハンドヘルドデバイス、コンピューティングデバイス、無線モデムに接続される他の処理デバイス、車載型デバイス、ウェアラブルデバイス、又は将来的な通信ネットワークにおける端末デバイスであってもよい。
図1に示されている通信システムのアーキテクチャに基づいて、この出願の複数の実施形態においては、ポーラ符号の符号化方法は、上記のネットワークデバイス又は端末によって実行されてもよい。ネットワークデバイス又は端末が、データ又は情報を送信するための送信端として使用されるときに、ポーラ符号の符号化方法を使用してもよい。それに対応して、ネットワークデバイス又は端末が、データ又は情報を受信するための受信端として機能するときに、ネットワークデバイス又は端末は、また、この出願によって説明されている方法にしたがって、信頼性ランキングシーケンスを決定し、そして、その次に、復号化を実行する必要がある。以下の記載は、この出願の複数の実施形態によって提供されるポーラ符号の符号化方法を詳細に説明する。
図1に示されている通信システムのアーキテクチャに基づいて、図2に示されているように、この出願のある1つの実施形態によって提供されるポーラ符号の符号化方法のある特定のプロセスは、以下のようになる。
操作210: K個の符号化されるべきビット、ターゲット符号長さM、マザー符号長さN、及び第1のシーケンスを取得し、第1のシーケンスは、信頼性ランキングシーケンスであり、N個の偏波サブチャネルのシーケンス番号を含み、N個の偏波サブチャネルのシーケンス番号は、N個の偏波サブチャネルの信頼性に基づいて、第1のシーケンスの中に配列され、N=2nであり、且つ、K≦Nである。ポーラ符号の適用シナリオにおいて、Nは、32以上の値であってもよく、M、K、n、及びNは、正の整数である。
本明細書におけるK個の符号化されるべきビットは、ペイロードビットのみを含んでもよく、又は、ペイロードビットのほかに、CRCビット及びPCビット等の他のタイプの凍結されていないビットのうちの1つ又は複数のタイプを含んでもよい。
5G NRシステムにおいては、ターゲット符号長さM及び符号レート等の要因に基づいて、どのようにしてマザー符号長さNを取得するかを規定する。このことは、この出願において解決するべき技術的課題ではないので、マザー符号長さNを取得する方式をそのまま使用し、5G NR方式のみが、この出願の解決方法においてマザー符号長さNを取得するのに使用されてもよいということは示されない。
Nを決定した後に、長さがNである第1のシーケンスを決定してもよい。上記で説明されているように、第1のシーケンスは、あらかじめ格納されていてもよく、又は、第2のシーケンスから抽出される長さがNである部分シーケンスであってもよい。第2のシーケンスは、長さが最大マザー符号長さNmaxである信頼性ランキングシーケンスである。具体的には、第1のシーケンスは、付録の中で長さがNであるいずれかのQシーケンスであってもよく、又は、付録の中で長さがNよりも長いいずれかのQシーケンスの部分シーケンスであってもよく、第2のシーケンスは、付録の中で長さがNmaxであるいずれかのQシーケンスであってもよく、第1のシーケンスは、第2のシーケンスの部分シーケンスであり、Nは、Nmax以下である。Nmaxは、2048、4096、8192、及び16384のうちのいずれか1つであってもよい。
この出願においては、付録は、復号化実装、レートマッチング、及び符号ブロック再送信に基づいて、長い符号ブロックの符号化に適用可能であるポーラ符号の複数の信頼性ランキングシーケンスの8つのグループを提供する。信頼性に関して、シーケンスの各々のグループは、2048、4096、8192、及び16384の長さを有して、信頼性の小さい順に配列されている信頼性ランキングシーケンス(Qx_yシーケンスであり、そのQx_yシーケンスは、一般的に、理解を容易にするために、Qシーケンスと称され、xは、1から8までの任意の整数であり、yは、2048、4096、8192、及び16384のうちのいずれかの値である。このことは、また、以下の記載に適用される。)、及び、対応する信頼性位置シーケンス(Zx_yシーケンスであり、そのZx_yシーケンスは、一般的に、理解を容易にするために、Zシーケンスと称され、xは、1から8までの任意の整数であり、yは、2048、4096、8192、及び16384のうちのいずれかの値である。このことは、また、以下の記載に適用される。)を含む。Qシーケンスについては、そのシーケンスの中の各々の値は、偏波サブチャネルのシーケンス番号であり、そのシーケンスの中の値の位置は、信頼性の順になっている。位置が高いほど、信頼性が低いことを示す。Zシーケンスについては、そのシーケンスの中の各々の値は、偏波サブチャネルのすべての信頼性における値(すなわち、その値を含む偏波サブチャネル)の信頼性の順になっている位置である。そのQシーケンスは、Zシーケンスと1対1の対応関係にある。簡単な例では、Qシーケンスが[0,4,6,2,3,1,7,5]である場合には、対応するZシーケンスは、[0,5,3,4,1,7,2,6]となり、Qシーケンス及びZシーケンスの双方は、偏波サブチャネル5が、最も高い信頼性を有し、偏波サブチャネル7が、2番目に高い信頼性を有し、そして、偏波サブチャネル1が、3番目に高い信頼性を有するということを示す。類推により残りのものを演繹することが可能である。偏波サブチャネル0は、最も低い信頼性を有する。付録の中では、長さが1024よりも長い信頼性ランキングシーケンスのみが提供されているということに留意するべきである。これは、それらのシーケンスが後方互換性があるという理由による。具体的にいうと、5G NRプロトコルによって規定されている長さがNmax=1024である信頼性ランキングシーケンスは、付録の中のいずれかのQx_yシーケンスの部分シーケンスである。言い換えると、5G NRプロトコルによって使用される長さが個々に32、64、128、256、512、又は1024である信頼性ランキングシーケンスは、付録の中のいずれかのQx_yシーケンスの部分シーケンスである。実際の実装においては、K個の偏波サブチャネルは、通常、Qシーケンスを使用することによって選択されるが、また、Zシーケンスを使用することによって選択されてもよい。
シーケンスグループ1(Q1_y及びZ1_y): そのシーケンスを設計するための基準は、復号化性能を保証し、そして、極性復号化のための高度な並列性を提供して、さらに復号化遅延を減少させることである。
シーケンスグループ2(Q2_y及びZ2_y): 現在、NRにおいては、反復レートマッチングスキームに加えて、符号レートに基づいてパンクチャリング及び短縮化を行う2つのレートマッチングスキームが存在する。そのシーケンスを設計するための基準は、パンクチャリングが実行されるレートマッチングスキームにおける性能を優先的に最適化することである。
シーケンスグループ3(Q3_y及びZ3_y): 現在、NRにおいては、反復レートマッチングスキームに加えて、符号レートに基づいてパンクチャリング及び短縮化を行う2つのレートマッチングスキームが存在する。そのシーケンスを設計するための基準は、短縮化が実行されるレートマッチングスキームにおける性能を優先的に最適化することである。
シーケンスグループ4(Q4_y及びZ4_y): データチャネルにおいて、HARQをサポートする必要がある。現在、業界において一般的に使用されているポーラ符号HARQ解決方法は、主として、IR及びIFを含む。シーケンスを設計するための基準は、IR(Incremental Redundancy, 増分冗長)HARQ性能及びIF(Incremental Frozen, 増分凍結)HARQ性能の双方を考慮することである。
データチャネルのハイスループット通信シナリオにおいては、システムは、複数の固定MCSフォーマットのうちのいくつかを定義し、対応する必要なマザー符号長さは、2048/4096/8192/16384等を含むことが期待される。マザー符号の長さは、細分割されるシナリオが異なると変化する。したがって、複数の信頼性ランキングシーケンスのうちのいくつかは、本発明において複数の異なるマザー符号長さ及び変調スキームのために設計される。
シーケンスグループ5(Q5_y及びZ5_y): 16-QAM変調スキームにおける性能は、優先的に考慮されるが、また、他の変調スキームにおける性能が要件を満たすということを保証することが可能である。
シーケンスグループ6(Q6_y及びZ6_y): 64-QAM変調スキームにおける性能は、優先的に考慮されるが、また、他の変調スキームにおける性能が要件を満たすということを保証することが可能である。
シーケンスグループ7(Q7_y及びZ7_y): マザー符号長さ2048の性能は、優先的に考慮されるが、また、他のマザー符号長さの性能が要件を満たすということを保証することが可能である。
シーケンスグループ8(Q8_y及びZ8_y): マザー符号長さ4096の性能は、優先的に考慮されるが、また、他のマザー符号長さの性能が要件を満たすということを保証することが可能である。
以下の点に注意を払うべきである。
1. 長さが1024であるとともに5G NRプロトコルによって与えられる信頼性ランキングシーケンスは、付録の中のいずれかのQシーケンスの部分シーケンスである。このように、データチャネル符号化要件を満たし、既存のプロトコルとの互換性を保証する。それに対応して、長さがそれぞれ32、64、128、256、512、又は、1024であるとともに、5G NRプロトコルによって使用される信頼性ランキングシーケンスは、付録の中のいずれかのQシーケンスの部分シーケンスである。
2. シーケンスの中の要素の数がより少ない位置は交換される。例えば、シーケンス番号の位置は、5である等の指定されている大きさによって調整されてもよい。左の5つの位置及び右の5つの位置によって、シーケンス番号が10である要素の位置を調整してもよい。
3. シーケンスの中の複数の要素のうちのいくつかは調整されるが、Tビットの情報を伝送するのに使用されるとともに、シーケンスに基づいて選択されるチャンネルセットは、一貫性があるか又は類似性がある。
4. シーケンスは、0からN-1までのN個の要素を含み、それらの0からN-1までのN個の要素は、N個の偏波サブチャネルのシーケンス番号を表す。実際には、N個の偏波サブチャネルのシーケンス番号は、代替的に、1から開始し、Nで終了してもよい、すなわち、上記のシーケンスの中のシーケンス番号に1を加算する。このことは、また、上記の計算方式におけるシーケンス番号の形態である。もちろん、代替的に、他の方式によって、ポーラサブチャネルのシーケンス番号又は識別子を表してもよい。その具体的な表現方式は、そのシーケンスの中のポーラサブチャネルの具体的な位置には影響を与えない。
操作220: 第1のシーケンスに基づいて、K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、K個の符号化されるべきビットに対して極性符号化を実行して、符号化されているビットシーケンスを取得する。
特定の符号化操作については、上記の説明を参照するべきである。最初に、レートマッチングの具体的なスキームを決定してもよい。パンクチャリング又は短縮化を実行するときに、最初に、パンクチャリングされるか又は短縮化される(すなわち、削除される)偏波サブチャネル及び(Pは0以上である)可能なP個のあらかじめ凍結されている偏波サブチャネルを決定し、そして、信頼性に基づいて、残りのM-P個の偏波サブチャネルから、信頼性の高いK個の偏波サブチャネルを選択して、K個の情報ビットを収容する。反復を実行するときに、信頼性に基づいて、N個の偏波サブチャネルから、信頼性の高いK個の偏波サブチャネルを直接的に選択して、K個の情報ビットを収容する。デコーダは、また、同様の方式によって、K個の情報ビットの位置を決定してもよい。
操作230: 符号化されているビットシーケンスに対してレートマッチング操作を実行して、長さがMであるレートマッチングされているビットシーケンスを取得する。
特定のレートマッチング操作については、5G NRにおいては、最初に、ブロックインタリーブを実行し、その次に、順次的に、循環バッファの中のビットを取り出す方式を参照するべきである。代替的に、あらかじめ設定されているレートマッチングシーケンスを使用することによって、ある特定のレートマッチング操作を実行してもよい。このことは、本明細書においては限定されない。
操作240: レートマッチングされているシーケンスを出力する。
変調操作を使用する場合に、本明細書における出力は、レートマッチングされているビットシーケンスに対して変調を実行した後に得られるシーケンスであるべきであるということに留意するべきである。そのシーケンスは、シンボルシーケンスである。この場合には、シーケンスの長さは、Mでなくてもよい。変調を使用しない場合には、レートマッチングされているシーケンスは、レートマッチングされているビットシーケンスである。理解を容易にするために、"レートマッチングされているシーケンス"の語及び"レートマッチングされているビットシーケンス"の語は、この出願では厳格には区別されない。
図2に示されている実施形態は、送信端の操作であり、受信端の操作は、同様である。復号化されるべき情報シーケンスを受信した後に、受信機(又は、受信装置)は、また、同様の方法を使用する必要がある。具体的には、K個の復号化されるべきビットを含む復号化されるべき情報シーケンス、ターゲット符号長さM、及びマザー符号長さNを取得し、第1のシーケンスを決定し、第1のシーケンスに基づいて、K個の復号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、復号化されるべき情報シーケンスに対して復号化操作を実行して、復号化結果を取得し及び出力する。本明細書においては、詳細な復号化アルゴリズムは限定されない。
図3に示されているように、この出願のある1つの実施形態は、さらに、ポーラ符号の符号化装置300を提供する。図3に示されているポーラ符号の符号化方法の一部又はすべては、ハードウェアによって実装されてもよく、又は、ソフトウェアによって実装されてもよい。
ポーラ符号の符号化装置300については、図2に示されているポーラ符号の符号化方法と同じ発明概念に基づいて、ポーラ符号の符号化装置300は、図2に示されているポーラ符号の符号化方法を実行するように構成される。ハードウェアによってポーラ符号の符号化方法の一部又はすべてを実装するときに、ポーラ符号の符号化装置300は、符号化されるべきビットを取得するように構成される入力インターフェイス回路301、図2に示されているポーラ符号の符号化方法を実行するように構成される論理回路302、及び、レートマッチングされているシーケンスを出力するように構成される出力インターフェイス回路303を含む。さらに、レートマッチングされているシーケンスは、依然として変調されているシーケンスであるり、詳細については、上記の方法の実施形態の中の説明を参照するべきであり、本明細書においては、詳細は繰り返しては説明されない。そのシーケンスは、変調されているシンボルシーケンスであり、トランシーバー320に出力される。トランシーバー320は、変調されているシーケンスに対して(これらには限定されないが、ディジタルアナログ変換及び/又は周波数変換等の処理を含む)対応する処理を実行し、アンテナ330によって、処理され変調されているシーケンスを送信する。選択的に、特定の実装において、ポーラ符号の符号化装置300は、チップ又は集積回路であってもよい。
選択的に、図4に示されているように、ソフトウェアによって上記の実施形態におけるポーラ符号の符号化方法の一部又はすべてを実装するときに、ポーラ符号の符号化装置400は、プログラムを格納するように構成されるメモリ401、及び、メモリ401の中に格納されているプログラムを実行するように構成されるプロセッサ402を含む。プログラムを実行するときに、ポーラ符号の符号化装置400は、上記の実施形態によって提供されるポーラ符号の符号化方法を実装してもよい。
選択的に、メモリ401は、物理的に独立しているユニットであってもよい。代替的に、図5に示されているように、メモリ501及びプロセッサ502は、ともに一体化されてもよい。
選択的に、ソフトウェアによって上記の実施形態における符号化方法の一部又はすべてを実装するときに、ポーラ符号の符号化装置400は、代替的に、プロセッサ402のみを含んでもよい。プログラムを格納するように構成されるメモリ401は、ポーラ符号の符号化装置400の外側に位置する。プロセッサ402は、回路/ケーブルによってメモリ401に接続され、メモリ401の中に格納されているプログラムを読み出しそして実行するように構成される。
図2に示されているポーラ符号の符号化方法に基づいて、図6に示されているように、この出願のある1つの実施形態は、さらに、ポーラ符号の符号化装置600を提供する。ポーラ符号の符号化装置600は、図2に示されているポーラ符号の符号化方法を実行するように構成される。ポーラ符号の符号化装置600は、
K個の符号化されるべきビットを取得するように構成される取得ユニット601、
マザー符号長さN及び第1のシーケンス(長さがNである信頼性ランキングシーケンス)を決定し、そして、マザー符号長さNに基づいて、K個の符号化されるべきビットに対してポーラ符号の符号化を実行して、符号化されているビットシーケンスを取得するように構成される符号化ユニット602であって、具体的な符号化処理については、上記の実施形態における操作220を参照するべきである、符号化ユニット602、及び、
符号化されているビットシーケンスに対してレートマッチング操作を実行して、長さがMであるレートマッチングされているビットシーケンス(又は、ビットシーケンスに対するさらなる変調によって得られ、また、レートマッチングされているシーケンスと称されるシーケンス)を取得するように構成されるレートマッチングユニット603であって、具体的なレートマッチング方法については、上記の実施形態における操作230を参照するべきである、レートマッチングユニット603、を含む。
送信端に対応して、受信端における装置は、また、同様に設計されてもよい。
図7に示されているように、ポーラ符号の復号化装置700は、復号化されるべき情報シーケンスを取得するように構成される入力インターフェイス回路701、上記のポーラ符号の復号化方法を実行して、復号化されている情報ビットを取得するように構成される論理回路702、及び、復号化されている情報を出力するように構成される出力インターフェイス回路703、を含む。ポーラ符号の復号化装置700は、アンテナ730によって、復号化されるべき情報シーケンスを取得するトランシーバ720をさらに含んでもよい。特定の実装においては、ポーラ符号の復号化装置700は、チップ又は集積回路であってもよい。
選択的に、ソフトウェアによって上記の実施形態におけるポーラ符号の復号化方法の一部又はすべてを実装するときに、図8に示されているように、ポーラ符号の復号化装置800は、プログラムを格納するように構成されるメモリ801、及び、メモリ801の中に格納されているプログラムを実行するように構成されるプロセッサ802を含む。プログラムが実行されるときに、ポーラ符号の復号化装置800は、上記の実施形態によって提供されるポーラ符号の復号化方法を実装してもよい。
選択的に、メモリ801は、物理的に独立しているユニットであってもよい。代替的に、図9に示されているように、メモリ901及びプロセッサ902は、ともに一体化されてもよい。
選択的に、ソフトウェアによって上記の実施形態における復号化方法の一部又はすべてを実装するときに、ポーラ符号の復号化装置800は、代替的に、プロセッサ802のみを含んでもよい。プログラムを格納するように構成されるメモリ801は、ポーラ符号の復号化装置800の外側に位置する。プロセッサ802は、回路/ケーブルによってメモリ801に接続され、メモリ801の中に格納されているプログラムを読み出しそして実行するように構成される。
プロセッサ402及び/又はプロセッサ802は、中央処理ユニット(central processing unit, CPU)、ネットワークプロセッサ(network processor, NP)、又は、CPU及びNPの組み合わせであってもよい。
プロセッサ402及び/又はプロセッサ802は、ハードウェアチップをさらに含んでもよい。ハードウェアチップは、特定用途向け集積回路(application-specific integrated circuit, ASIC)、プログラム可能な論理デバイス(programmable logic device, PLD)、又はそれらの組み合わせであってもよい。PLDは、複合的プログラム可能な論理デバイス(field-programmable gate array, FPGA)、フィールドプログラマブルゲートアレイ(field-programmable gate array, FPGA)、汎用アレイ論理(generic array logic, GAL)、又はそれらのいずれかの組み合わせであってもよい。
上記の複数の実施形態におけるメモリは、例えば、ランダムアクセスメモリ(random-access memory, RAM)等の揮発性メモリ(volatile memory)を含んでもよい。代替的に、メモリは、フラッシュメモリ(flash memory)、ハードディスクドライブ(hard disk drive, HDD)、又はソリッドステートドライブ(solid-state drive, SSD)等の不揮発性メモリ(non-volatile memory)を含んでもよい。代替的に、メモリは、上記のタイプのメモリの組み合わせを含んでもよい。
上記のポーラ符号の復号化方法に基づいて、図10に示されているように、この出願のある1つの実施形態は、さらに、ポーラ符号の復号化装置1000を提供する。ポーラ符号の復号化装置1000は、上記のポーラ符号の復号化方法を実行するように構成される。ポーラ符号の復号化装置1000は、
復号化されるべき情報シーケンスを取得するように構成される取得ユニット1001、及び、
マザー符号長さNの第1のシーケンス(長さがNである信頼性ランキングシーケンス)を決定し、そして、復号化されるべき情報シーケンスに対して復号化操作を実行して、復号化結果を取得し及び出力する、ように構成される処理ユニット1002、を含む。
この出願のある1つの実施形態は、さらに、コンピュータプログラム命令を格納するコンピュータ記憶媒体を提供する。コンピュータプログラム命令がコンピュータによって実行されるときに、上記のポーラ符号の符号化方法又はポーラ符号の復号化方法が実行される。
この出願のある1つの実施形態は、さらに、命令を含むコンピュータプログラム製品を提供する。コンピュータプログラム製品がコンピュータによって実行されるときに、上記のポーラ符号の符号化方法又はポーラ符号の復号化方法が実行される。
当業者は、方法、システム、又はコンピュータプログラム製品として、この出願の複数の実施形態を提供してもよいということを理解するはずである。したがって、この出願は、ハードウェアのみの実施形態、ソフトウェアのみの実施形態、又は、ソフトウェア及びハードウェアの組み合わせによる実施形態の形式を使用してもよい。加えて、この出願は、コンピュータプログラム製品の形式を使用してもよく、そのコンピュータプログラム製品は、コンピュータにより使用可能なプログラムコードを含む(これらには限定されないが、ディスクメモリ、CD-ROM、及び光メモリ等を含む)1つ又は複数のコンピュータにより使用可能な記憶媒体によって実装される。
この出願は、この出願のそれらの複数の実施形態にしたがった方法、デバイス(システム)、及びコンピュータプログラム製品のフローチャート及び/又はブロック図を参照して説明されている。コンピュータプログラム命令は、フローチャート及び/又はブロック図の中の各々のプロセス及び/又は各々のブロックを実装し、及び、フローチャート及び/又はブロック図の中のプロセス及び/又はブロックの組み合わせを実装するのに使用されてもよいということを理解するべきである。汎用コンピュータ、専用コンピュータ、組み込み型のプロセッサ、又は他のプログラム可能なデータ処理デバイスのプロセッサにコンピュータプログラム命令を提供して、機械を生成し、それによって、コンピュータ又は他のプログラム可能なデータ処理デバイスのプロセッサが実行する命令は、ある装置を生成し、その装置は、フローチャートの中の1つ又は複数のプロセス及び/又はブロック図の中の1つ又は複数のブロックにおける特定の機能を実装する。
コンピュータプログラム命令は、コンピュータ読み取り可能なメモリの中に格納されて、ある特定の方式によって動作するようにコンピュータ又は他のプログラム可能なデータ処理デバイスに指示してもよく、それによって、コンピュータ読み取り可能なメモリの中に格納されている命令は、命令装置を含む人為的な結果物を生成する。その命令装置は、フローチャートの中の1つ又は複数のプロセス及び/又はブロック図の中の1つ又は複数のブロックにおけるある特定の機能を実装する。
コンピュータプログラム命令は、代替的に、コンピュータ又は他のプログラム可能なデータ処理デバイスにロードされてもよく、それによって、コンピュータ又は他のプログラム可能なデバイスによって一連の操作及びステップを実行する。このように、コンピュータにより実装される処理が生成される。したがって、コンピュータ又は他のプログラム可能なデバイスによって実行される命令は、フローチャートの中の1つ又は複数のプロセス及び/又はブロック図の中の1つ又は複数のブロックにおける特定の機能を実装するためのステップを提供する。
この出願の複数の例示的な実施形態のうちのいくつかを説明してきたが、当業者が基本的な発明の概念を知れば、その当業者は、それらの複数の実施形態に変更及び修正を行うことが可能である。したがって、以下の特許請求の範囲は、この出願の範囲の中に属するそれらの複数の実施形態及びすべての変更及び修正にも及ぶものと解釈される。
明らかに、当業者は、この出願の複数の実施形態の範囲から離れることなく、この出願の複数の実施形態にさまざまな修正及び変形を行うことが可能である。それらの修正及び変形が、以下の特許請求の範囲及びそれらの等価な技術が規定する保護の範囲に属することを条件として、この出願は、それらの修正及び変形にも及ぶことを意図している。
付録:
シーケンスグループ1: Q1_2048
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シーケンスグループ1: Z1_2048
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シーケンスグループ: Q1_4096
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シーケンスグループ1: Z1_4096
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シーケンスグループ1: Q1_8192
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1989,1962,3904,3660,2957,2767,1908,1530,1773,1969,1990,1779,1883,1964,3258,3718,3476,3299,6309,6250,6199,6472,5213,5764,4782,4836,4946,4471,4540,4566,4579,4511,5322,5712,5443,5512,4581,5001,5417,5890,4891,4569,5227,5300,5271,5329,5404,5768,5
214,5324,4730,4840,4948,5056,6680,6721,6692,6257,6298,6223,6413,6252,5418,5520,5728,5472,5445,5653,5275,5330,6722,6368,7180,7201,6310,6663,6696,6339,4961,4789,5425,5667,5420,5229,5304,5654,5657,5235,4893,5002,7233,7188,6414,6785,4811,4903,5287,5345,3968,3666,2525,2963,2686,2796,3490,3374,6667,6419,6724,6435,5446,5426,4570,4732,4790,4350,4813,4671,5009,4894,5892,5277,5776,5449,4907,4475,6203,6313,6704,6258,3721,3843,2992,2917,2539,2747,2802,2906,4793,4527,4703,4585,4962,4819,4582,5004,1854,1935,1895,1663,3432,3611,2526,3016,6421,6300,7424,7202,6231,6341,6260,6314,2431,2958,2863,3024,3183,3403,2918,2965,1912,1503,1019,1021,3286,3381,2775,2541,5230,5237,4814,4909,4572,4952,4935,4821,5332,5291,5896,5450,4794,5010,4848,4964,4915,4910,4535,5025,6205,6675,6669,6786,5346,5669,4586,4719,4767,4835,5012,4559,2921,2749,3260,3521,3289,3480,3681,3668,1970,1774,1993,1532,3623,3722,3301,3231,4939,4477,4593,5026,5658,5507,5428,5336,6425,6422,6670,6321,6437,6532,7192,7204,6235,6728,6913,6342,5536,5391,5399,5278,5457,5670,5792,5238,5452,5699,5660,5509,5293,5241,5673,5319,4917,4822,5904,5299,3492,3382,2979,2804,3613,3845,2908,2547,1885,1781,1994,1943,2779,2871,3682,3729,3405,3191,3672,3411,1899,1886,1782,1972,2001,1947,1996,1785,3290,3440,3724,3302,5348,5458,5432,5824,5057,4968,5510,5294,7175,7297,6316,6264,6345,6480,6206,6426,4588,4727,5674,5701,7234,7680,6287,6247,2970,2922,3463,3385,2966,2550,3522,3614,4825,4796,4539,4837,5513,5403,5242,5568,2981,2791,2808,2929,3406,3305,3627,3846,1901,1976,1519,1727,3247,3195,3730,3684,2542,2750,2969,2549,3413,3849,3292,3386,5473,5681,5323,5183,4941,5016,4478,4918,5460,5514,5647,5702,5676,5301,5415,5405,3496,3467,3745,3655,1959,2002,1907,1786,3427,3359,3255,3306,3197,3629,3732,3688,1527,1949,1902,1759,3414,3388,3313,3850,5352,5244,4947,4826,6322,6438,6237,6788,3635,3417,3524,3469,2924,2895,3040,2495,3475,3279,2781,2875,2017,1909,1963,2018,6346,6736,6467,6536,6441,6914,6251,6324,7179,7208,6295,6353,4594,4976,4838,4541,3746,3630,3857,3504,2982,2930,2985,3011,4567,4731,5325,5302,5763,5682,5406,5705,3429,3259,3308,3736,2795,2553,2903,2972,5028,4783,5419,5474,6428,6792,6238,6348,2782,2877,3013,2986,3696,3659,3852,3777,6442,6544,6752,6496,4999,4921,4596,4942,4841,4922,5331,5521,5305,5516,4828,4542,5058,5032,4571,4949,5464,5706,4963,4733,2004,1950,1788,1965,2932,2554,2797,2993,1991,1910,1855,1971,3198,3314,3014,2803,5003,4583,5765,5713,6469,6677,6299,6354,6449,6691,6444,6253,7236,7298,7187,7181,2907,2988,3637,3470,3418,3528,3430,3477,5655,5360,4791,4842,6328,6678,6681,6259,5326,5215,4924,4849,5447,5684,4950,4953,6311,6369,6470,6450,6916,6301,6800,6473,1022,1023,1531,1913,3375,3641,3316,3667,2878,2959,2919,2687,2936,2527,3261,3638,5920,5522,5476,5427,5421,5537,4600,4895,7216,7182,6254,6261,6356,6315,6920,6474,2994,2798,3017,2556,2909,2805,3018,2967,2008,1775,1966,2020,2923,2910,2806,2996,3748,3433,3778,3661,3287,3858,3719,3420,4351,5060,5333,5688,6370,6693,7240,7425,1995,1914,1533,1973,3491,3478,3536,3752,1997,2024,1916,1974,3873,3434,3662,3481,3642,3860,3669,3644,3291,3383,3025,2971,5952,5708,5005,4815,5306,5766,5524,5347,3780,3670,3673,3723,3493,3864,3874,3683,6016,5714,4573,5011,4734,4844,5538,5422,3674,3482,3303,3760,1887,1783,2032,1534,3020,2809,3725,3320,3441,3262,3436,3726,5769,5891,5040,4965,4587,4795,4850,4954,5480,5659,4574,5064,4479,5006,4911,5072,6682,6531,6452,6360,7189,7300,6560,6415,6423,6302,6481,6694,6816,6262,6476,6723,5231,5451,4966,5013,5334,5429,4823,4589,4969,4797,5308,5569,5337,5528,5729,5716,3731,3407,3552,3387,3293,3442,2925,3000,6684,6533,6317,6265,6697,6343,6928,6323,2543,2751,2983,3026,2003,1977,1787,1998,2931,2810,2551,2973,2926,2783,3685,3494,6372,6482,6456,6848,7203,7426,6534,6318,5671,5770,5349,5279,5540,5430,5027,4852,6698,6725,6537,6427,5661,5893,4956,4595,4827,4919,5730,5777,5453,5239,5720,5459,6266,6592,6497,6705,5338,5488,5772,5350,3497,3523,3041,2933,3686,3615,3307,3484,5018,4970,5511,5433,5014,4598,5570,5662,3415,3444,3847,3389,1978,1903,2005,2006,5029,4839,4856,4977,6347,6207,6484,6538,3294,3498,3525,3309,3631,3905,3876,3784,3906,3733,3880,3851,2987,3042,3689,3676,5454,5353,5675,5894,5295,5243,5778,5732,6671,6726,6700,6325,7194,7681,7248,7205,4590,4798,5017,4597,5461,5897,5340,5434,7193,7190,6439,6429,6376,6268,6349,6326,1951,2019,1789,1980,3505,3792,3028,2974,3888,3908,3419,3969,1911,2009,2021,2010,5544,5515,5793,5703,6787,6706,6430,6729,5475,5407,5303,5354,5245,5677,5780,5736,5462,5436,5361,5898,5683,5465,5572,5517,7304,7428,6443,6498,6355,6545,7432,7206,4972,4943,5088,4543,5523,5327,4829,4923,5794,5678,5905,5552,5030,4978,5033,5059,5477,5307,5356,5784,7682,7264,6329,6540,6488,6730,7235,7209,7312,7196,6789,6737,4843,4601,4951,5020,4830,4925,5061,5034,5744,5707,5900,5825,7237,7210,6679,6384,6350,6239,6471,6708,4980,4602,4845,5041,5246,5362,5062,4851,4955,5036,5685,5518,3315,3734,3526,3390,3747,3690,2812,2989,3970,3853,3015,2934,1967,1915,2022,1790,5466,5576,5478,5525,5423,5689,5364,5715,3448,3500,2879,2995,3737,3808,3639,3912,7684,7217,6944,6546,6500,6451,6445,6561,6357,6712,6976,6732,4926,5007,4967,4735,2555,2937,3697,3310,3431,3529,3471,3859,3032,2799,3663,3750,3506,3749,3421,3317,4984,4575,5309,5686,5042,4846,5065,4604,4957,4853,5066,5015,6330,6790,6548,6371,3530,3738,3692,3435,1535,2012,2025,1975,3199,3263,3854,3479,3508,3698,3643,3537,2990,3044,3753,3318,3019,2938,3779,3422,3671,3740,3862,3532,3321,3754,2557,2997,7040,6738,7242,7440,7328,7688,7456,7696,6562,6446,6793,6915,7360,7712,6504,6683,3645,3483,3021,3048,2026,1917,1999,1918,2940,2998,3875,3861,3781,3437,3512,3700,4971,4958,4854,5044,5796,5481,5826,5709,3761,3446,3495,3538,2911,2807,3865,3322,3443,3553,3646,3485,3056,2558,3675,3438,6255,6475,6358,6453,5335,5906,5767,5468,5539,5526,5584,5800,5921,5482,5710,5529,5690,5908,5717,5692,5339,5431,5073,5019,5828,5718,5721,5771,6332,6593,7238,7212,5541,5912,5922,5731,7299,7249,6361,6552,3540,3727,3972,3877,3027,3001,3687,3756,3782,3501,3866,3324,2811,3022,3445,3677,3920,3762,3002,2927,2033,1979,2028,2034,5722,5530,5351,5808,6753,6740,6695,6794,3029,3030,3785,3704,3554,3878,3499,3976,3486,3295,3735,3764,1981,2007,1982,2011,2975,3043,3907,3691,3544,3527,3868,3881,3786,3793,2813,3004,3909,3788,3936,3882,2935,3033,3678,3984,3794,3768,3449,3507,3889,3391,3045,3034,3693,3884,3556,3502,6373,6303,6564,6454,5068,4857,5773,5368,6685,6917,6754,6801,6477,6263,6744,6483,5489,5310,5484,5774,6362,6512,6796,6374,6535,6457,7218,7241,5779,5455,5600,5435,5341,5490,4973,5048,4591,4799,5031,5074,4979,4858,4599,5021,6594,6686,7183,7488,6478,6377,6699,6918,4974,4831,5733,5542,6319,6267,7301,7220,5545,5571,5089,4981,6802,6756,6485,6921,6364,6458,6568,6539,6817,6727,7191,7302,6499,6431,6327,6378,5734,5663,5355,5532,5463,5492,5895,5437,3910,3739,3560,3311,3450,3531,3694,3699,6269,6701,6804,6760,7552,7244,6486,6460,6385,6922,7305,7250,6707,6489,6596,6541,5342,5546,5573,5357,6547,6351,7224,7195,6818,6702,6929,6576,6501,6331,7265,7207,7427,7252,6380,6808,5679,5953,5924,5832,5954,5781,5928,5899,6768,6731,6924,6849,2991,2939,3509,3452,3046,2814,3890,3533,6270,6386,6709,6542,5035,5090,5737,5724,5553,5840,5076,5022,5936,5956,5467,6017,5363,5782,5574,5438,7306,7313,6490,6600,7429,7197,6502,6549,5795,5738,4860,5037,6018,5901,5063,4982,5496,5548,4927,5043,5785,5856,5687,5960,4603,4985,5745,5358,3568,3741,3751,3796,2559,3036,3913,3701,2036,2023,2040,1791,3423,3539,3510,3809,3323,3534,3514,3513,3049,2999,3541,3319,3755,3914,3810,3971,3050,2941,3742,3855,2013,2027,2014,2029,3023,2942,3921,3892,3800,4000,3863,3439,3973,3702,3757,3916,6447,6713,6388,6739,5479,5577,5519,5907,5080,4847,5711,5798,5554,5797,5469,5365,3705,3783,3057,3003,3325,3763,3896,3974,6333,6710,6820,6505,7211,7266,6850,6733,5578,5786,5740,5483,5247,5311,5902,5527,5556,5746,5691,5585,5038,5092,5801,5366,6359,6930,7683,7256,5067,4986,5827,5470,5719,5788,5910,5580,5369,5802,4605,5045,5693,5531,5069,5096,4988,5046,5923,5909,7308,7198,6791,6492,6563,6550,6608,6824,6945,6506,6734,6553,6714,6932,6741,6716,6363,6455,7314,7239,7430,7433,6852,6742,6745,6795,7329,7744,7213,7268,6565,6936,3758,3812,3922,3447,3516,3542,3052,3058,6946,6755,6746,6554,7808,7219,6375,6832,5829,5485,5560,5748,7316,7214,6797,6392,3555,3487,3557,3977,3867,3545,3706,3816,6513,6334,6508,6798,6803,6479,7243,7434,5809,5494,5543,5586,6624,6459,6365,6514,4959,4855,5913,5370,7441,7685,7272,7330,5491,5601,5694,5533,5104,4606,5723,5486,6757,6566,6569,6595,6758,6687,6379,6556,3924,4032,3005,3031,3937,3765,3869,3978,6487,6516,7221,7361,6919,6461,6366,6570,3787,3879,3546,3708,3006,3035,3766,3326,5588,5775,6020,5925,5075,5049,5735,5804,3789,3647,3060,3047,3985,3870,3883,3451,6597,6381,6703,6977,7320,7245,7332,7936,7436,7442,6948,6856,6978,6805,6952,6923,1983,2035,2037,1919,3769,3503,3064,2815,6761,6748,6577,6864,5830,5549,5914,5372,4859,5070,5493,5725,5968,5810,5050,4975,5077,5078,5833,5752,6960,6980,6491,7041,3679,3561,3938,3795,3558,3980,3790,3885,7686,7222,7251,7225,6387,6806,7689,7280,5602,5926,5547,6024,6598,6462,6819,6762,5534,5343,5783,5812,5023,5091,5955,5739,5592,5575,5916,5929,7042,6925,6520,6572,6809,6880,6711,6984,5834,5841,4861,5052,5957,5836,5984,5930,4983,5081,5726,6032,6769,6382,7303,7246,5842,5816,5497,5555,5937,5439,5093,5082,7457,7362,7253,7444,7690,7226,6503,6601,5741,5932,5604,5550,3548,3928,3911,3797,3770,3986,3037,3051,6543,6931,6735,6822,5958,5787,5608,5359,3824,3940,3891,3886,3511,4001,3562,3695,6578,6821,7336,7307,5498,5579,5742,5747,7267,7254,6493,6389,6602,6810,6764,6507,6271,6335,6926,6551,5039,4987,5557,5500,5094,4862,5938,5581,6580,6770,7228,7448,2030,2038,2041,2042,3743,3811,3988,3535,7257,7458,7697,7692,5616,5789,5799,5844,3915,3453,3038,3053,3569,4002,3893,3798,4033,3944,3564,3703,3801,3772,3515,3813,6715,6609,7364,7309,6825,6390,6851,6494,7269,7315,7344,7310,4607,5084,5961,5749,5471,5587,5558,5857,6743,6812,6934,6604,7698,7489,7199,7368,5371,5582,5562,5561,5097,5047,5589,5367,5803,5962,5858,6019,3917,3992,3454,3894,3923,3802,3570,3952,6393,6826,7258,7713,5098,4989,5790,5903,5071,4990,5969,5940,5848,6048,5911,5487,6717,6555,6947,6933,6021,5750,5805,5964,3814,3517,3007,3059,2015,2044,2031,2039,6853,6509,6584,6772,5753,5831,5105,5051,5373,5811,5944,6022,6833,6518,6567,6610,6937,6394,6515,6625,7460,7490,7700,7431,3543,3707,4004,3759,3975,3897,3061,2943,7317,7270,7273,7472,6718,6557,67
47,6510,6612,6799,7044,6949,5806,5860,5970,5495,7464,7331,7260,7215,5564,5590,5100,5106,3572,3918,3817,3898,3804,3518,4034,4008,5603,5535,5605,6025,7435,7553,7714,7492,6759,6828,6854,6573,7376,7554,6938,6396,3547,3925,3939,3709,3979,3559,3767,3818,3900,3825,3926,3929,3576,3871,3327,4036,6517,6749,6992,6834,7318,7321,6857,6776,5915,5593,5754,5864,6626,6950,6571,7048,5972,6080,5053,5079,6558,6367,7333,7274,5985,5813,5917,6026,5835,5927,5594,5756,6807,6836,6979,6763,7223,7496,7704,7745,3981,3791,3549,3987,3054,3062,3710,3820,6616,6599,6940,6953,7716,7281,7322,7247,5054,5083,5814,5374,5837,5695,5108,5095,6858,6865,7437,7276,6981,6860,7008,6954,6750,7056,6866,6840,7746,7392,7334,7687,4016,3941,3563,3771,3826,3930,3550,4040,6521,6579,6961,6463,6765,6956,6628,6574,6982,6811,7720,7363,7438,7809,7691,7443,3065,3066,3455,3982,3887,4048,3942,3989,6632,6383,6522,6603,6766,6771,7748,7459,7227,7337,6581,6524,6962,6605,6640,6813,6033,5918,5931,5499,5817,5551,5112,4863,6823,6868,6985,6773,5727,5609,5986,5843,3799,3565,3945,3773,4003,3828,3932,3571,7728,7282,7445,7324,7255,7365,6495,6611,5606,6028,5838,5933,5596,5976,5959,5845,6582,6881,6395,6606,6586,6585,7284,7338,5818,6034,5085,5099,5872,5988,5939,5934,5559,6049,5610,5743,5791,5859,6036,5583,7229,7699,7693,7810,7449,7446,7694,7345,3803,3895,3994,3946,3990,3574,4005,3815,5963,5501,5086,5101,5617,6050,5941,5846,3832,3953,3566,3774,3993,3573,3948,3919,6613,6391,6827,6986,6081,5992,5612,5751,5849,5820,5563,5861,7461,7556,6882,7043,6814,6927,6993,6964,6872,7072,6935,6511,2043,2045,2046,2047,3039,3068,4064,3519,7045,6774,7259,7752,6829,6988,7937,7366,5965,6040,5502,5942,5971,5850,5618,6000,5862,5565,5055,5107,6777,6855,7340,7288,5591,5755,6052,5807,6023,5945,5109,4991,5620,5966,5865,5946,5852,5566,6082,6056,3805,3899,4006,3954,4009,4035,3819,3577,5595,5973,5987,5757,6027,5607,5815,5866,7369,7504,6397,6835,7230,7450,7311,7271,6968,7046,7346,7462,7261,7812,6830,6884,3927,3996,3806,3901,3055,3063,4037,4010,6994,6519,6588,6614,6627,6559,7370,7760,3956,3578,3821,4017,4038,3827,3931,4012,7491,7560,6629,7049,7465,7938,6939,6617,7275,7348,7319,7377,7452,7816,7262,7372,6778,6888,6996,7104,5948,5873,5974,5977,7466,7568,7776,7520,7493,7701,7323,7378,7009,6837,7473,7715,7468,7277,7352,7702,7705,7283,6941,7050,6859,6951,7335,7393,3902,3983,3943,3711,3960,3551,3067,3069,5624,5919,5375,6084,7494,7474,6618,6780,6838,6398,6861,6719,7057,6942,7940,7325,7824,7497,6955,6523,6841,6575,6751,6633,7010,6867,6630,7052,6029,5839,5597,6035,5102,5110,5758,5868,6064,5989,5611,5819,4018,3822,4041,3580,3933,3829,4042,3991,5874,5978,5598,6088,5113,5114,5503,6030,5935,6096,5990,6037,7278,7285,6862,6957,6620,7000,6983,6869,5847,5613,5993,5821,7380,7339,7944,7498,6842,7058,6896,7012,6963,6958,6583,7073,7394,7717,6634,6767,3947,3934,3830,4020,4049,3995,4044,3833,6815,6883,7060,6607,6987,6525,6641,7074,7706,7555,7476,7384,7584,7439,7447,7326,7505,7718,7840,7286,7500,7747,7708,7557,6051,5876,5980,5619,7341,7289,7721,7367,3949,4024,3567,3775,4007,4050,3955,3834,6965,6870,7952,7347,5851,5943,6042,5994,7396,7506,7480,7872,7105,7016,7558,7342,3575,3997,3950,3807,4065,3957,4011,4066,6636,6775,7722,7749,6873,6844,6587,6885,7561,7451,7290,7616,6038,5622,6053,5863,7521,7729,7371,7231,5880,6001,5614,5822,4052,3998,3836,4013,4039,3958,3903,4019,6989,7064,6526,6966,6041,5621,5996,5967,7508,7562,7695,7750,7724,7349,7463,7453,5087,5116,6112,5567,7400,7292,6995,6874,6642,7024,6886,6589,6615,6779,7373,7350,5853,5947,6054,6002,7811,7730,7454,7753,7076,6831,7467,7522,7047,6969,6644,6990,6889,6970,7379,7569,7353,7564,6876,6590,3070,3071,3579,3961,4056,3823,4014,4068,7106,7080,6619,6997,7512,7754,7011,6781,7051,6631,7813,7761,7703,7408,6839,6890,6057,6083,5867,5625,7374,7263,6972,6897,5975,6044,5854,5949,7495,7732,6998,7001,7968,7570,7524,7475,7469,7585,6648,6943,6399,7108,7381,7736,5103,5111,6085,6058,8000,7756,7053,6863,6004,5626,5869,6065,4043,3962,3581,4021,4045,4072,3964,4022,6086,5875,5979,6060,7354,7814,7572,7395,8064,7762,6621,7059,6782,6892,7586,7470,7817,7939,7088,7013,6635,6843,6898,7002,5950,6031,5991,5759,7528,7707,6622,7112,6527,7054,6959,7120,7279,7499,7014,7061,6008,5599,5115,5117,7382,7477,6871,6637,7017,6845,7356,7617,7385,7576,7777,7764,6066,5870,6089,5628,7719,7818,7397,7327,7588,7478,7075,6900,7709,7941,7004,6643,5981,5877,6090,6039,6875,6967,7778,7825,7501,7287,7768,7507,5995,5982,5878,6068,3935,3831,4080,3582,4051,4025,3835,4046,6097,6043,6092,5881,7386,7536,7820,7398,7066,7018,7559,7481,7062,6646,7618,7710,7077,6887,6904,7025,7502,7401,7723,7942,4026,3951,4053,4054,3999,4067,3837,4028,5997,6072,5615,5823,7343,7291,7826,7780,6638,6846,7065,6645,7509,7945,7388,7482,7592,7563,7841,7751,6055,6098,6003,5882,7523,7455,7351,7402,7293,7725,7828,7784,5623,6045,5998,5855,7510,7484,7409,7946,7731,7513,7620,7565,7020,6991,7136,6591,7571,7375,6877,6971,6113,6005,6059,6114,7842,7726,7953,7600,7078,7026,7081,7107,7525,7355,7404,7832,6891,6649,6999,7068,6878,6973,7109,7082,7792,7755,7948,7873,6100,6046,5884,6061,7028,6650,68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シーケンスグループ1: Z1_8192
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シーケンスグループ2: Q2_2048
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シーケンスグループ2: Z2_2048
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シーケンスグループ2: Q2_4096
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シーケンスグループ2: Z2_4096
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シーケンスグループ2: Q2_8192
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2902,2905,3717,3665,3607,3312,3278,3167,2552,2847,1883,1964,1854,1935,2303,3012,3399,3636,3872,3474,3428,3379,2957,2767,2525,2963,5227,5300,4961,4789,5271,5329,4893,5002,6352,6530,6294,6297,6309,6250,6199,6472,5404,5768,4811,4903,5214,5324,4
570,4732,1895,1663,1912,1503,1970,1774,1993,1532,5418,5520,5728,5472,4790,4350,4813,4671,3373,3489,2686,2796,2992,2917,3285,3640,2539,2747,3904,3660,2802,2906,3258,3718,6680,6721,6692,6257,5009,4894,5445,5653,3476,3299,2526,3016,3968,3666,3490,3374,6298,6223,7185,7178,5275,5330,5425,5667,5420,5229,4907,4475,5304,5654,4793,4527,1885,1781,1994,1943,3721,3843,2431,2958,3432,3611,3183,3403,2863,3024,2918,2965,4703,4585,5657,5235,4962,4819,4582,5004,6413,6252,6722,6368,4814,4909,4572,4952,5287,5345,5446,5426,6310,6663,6696,6339,1899,1886,1782,1972,2775,2541,3286,3381,6414,6785,6667,6419,4935,4821,5892,5277,2921,2749,3260,3521,2001,1947,1996,1785,5776,5449,4794,5010,6724,6435,7186,7296,3289,3480,2979,2804,1901,1976,1519,1727,4848,4964,5230,5237,4915,4910,5332,5291,5896,5450,5346,5669,6203,6313,6704,6258,3681,3668,3623,3722,2908,2547,3301,3231,5658,5507,5428,5336,4535,5025,4586,4719,3492,3382,3613,3845,1959,2002,1007,1015,2779,2871,2970,2922,3682,3729,2966,2550,3405,3191,3672,3411,2981,2791,3290,3440,6421,6300,6231,6341,4767,4835,5012,4559,2808,2929,3724,3302,3463,3385,3522,3614,4939,4477,5536,5391,5399,5278,5457,5670,6260,6314,6205,6675,6669,6786,7180,7201,3406,3305,2542,2750,3627,3846,2969,2549,3247,3195,3730,3684,3413,3849,2924,2895,4593,5026,5792,5238,4917,4822,5057,4968,6425,6422,6670,6321,5452,5699,4588,4727,6437,6532,6235,6728,5660,5509,5293,5241,1907,1786,1527,1949,3040,2495,3292,3386,4825,4796,4539,4837,5673,5319,5904,5299,7233,7188,6913,6342,6316,6264,6345,6480,5348,5458,4941,5016,5432,5824,4478,4918,2781,2875,3496,3467,2982,2930,3745,3655,1902,1759,2017,1909,2985,3011,3427,3359,3255,3306,3197,3629,2795,2553,2903,2972,5510,5294,4947,4826,6206,6426,7424,7202,5674,5701,5513,5403,4594,4976,5242,5568,6287,6247,6322,6438,4838,4541,4567,4731,1963,2018,2004,1950,3732,3688,3414,3388,3313,3850,2782,2877,3635,3417,3524,3469,3013,2986,3475,3279,1788,1965,1991,1910,5028,4783,5473,5681,4999,4921,5323,5183,6237,6788,6346,6736,6467,6536,7192,7204,3746,3630,3857,3504,2932,2554,3429,3259,5460,5514,4596,4942,6441,6914,6251,6324,4841,4922,5647,5702,5676,5301,5415,5405,6295,6353,6428,6792,4828,4542,5352,5244,2797,2993,3308,3736,3696,3659,3014,2803,2907,2988,3852,3777,1855,1971,1531,1913,5325,5302,5763,5682,5058,5032,4571,4949,4963,4733,5406,5705,5419,5474,5331,5521,5003,4583,4791,4842,7175,7297,6238,6348,3198,3314,3637,3470,2008,1775,1966,2020,3418,3528,2878,2959,2919,2687,3430,3477,6442,6544,6752,6496,4924,4849,5305,5516,3375,3641,3316,3667,2936,2527,3261,3638,3748,3433,3778,3661,2994,2798,3287,3858,5464,5706,4950,4953,6469,6677,6299,6354,1995,1914,1533,1973,3719,3420,3491,3478,5765,5713,5655,5360,5326,5215,4600,4895,3536,3752,3017,2556,2909,2805,3873,3434,6449,6691,6444,6253,4351,5060,5447,5684,5920,5522,5476,5427,7234,7680,6328,6678,3018,2967,3662,3481,2923,2910,3642,3860,5005,4815,4573,5011,5421,5537,4734,4844,5040,4965,5333,5688,4587,4795,5952,5708,6681,6259,6311,6369,6470,6450,7179,7208,3669,3644,2806,2996,3291,3383,3780,3670,4850,4954,5306,5766,5524,5347,4574,5064,6016,5714,5538,5422,5769,5891,4479,5006,1997,2024,1916,1974,3673,3723,3493,3864,3025,2971,3874,3683,3020,2809,3674,3482,3303,3760,2925,3000,1887,1783,2032,1534,6916,6301,6800,6473,6254,6261,6356,6315,3725,3320,2543,2751,3441,3262,3436,3726,7236,7298,6920,6474,6370,6693,6682,6531,5480,5659,5231,5451,4911,5072,4966,5013,2983,3026,3731,3407,3552,3387,3293,3442,6452,6360,7187,7181,6560,6415,6423,6302,4823,4589,5334,5429,4969,4797,5308,5569,3685,3494,3497,3523,3686,3615,3307,3484,5337,5528,5027,4852,5729,5716,5671,5770,7216,7182,6481,6694,4956,4595,5349,5279,6816,6262,6476,6723,5540,5430,5661,5893,2003,1977,1019,1021,2931,2810,3415,3444,2551,2973,3847,3389,3294,3498,2926,2783,6684,6533,6317,6265,4827,4919,5018,4970,3525,3309,3041,2933,3631,3905,3876,3784,5730,5777,5014,4598,5453,5239,5720,5459,6697,6343,6928,6323,5029,4839,5338,5488,2987,3042,3906,3733,1787,1998,1978,1903,6372,6482,6456,6848,4856,4977,5772,5350,3880,3851,3689,3676,2005,2006,1951,2019,7240,7425,6534,6318,5511,5433,5570,5662,5454,5353,4590,4798,6698,6725,7189,7300,5675,5894,5017,4597,6537,6427,6266,6592,5295,5243,5778,5732,5461,5897,4972,4943,3505,3792,3888,3908,3028,2974,2812,2989,6497,6705,7203,7426,6347,6207,6484,6538,3419,3969,3315,3734,1789,1980,1911,2009,5088,4543,5340,5434,4829,4923,5544,5515,5030,4978,5793,5703,5033,5059,5475,5407,6671,6726,6700,6325,5303,5354,5245,5677,3526,3390,3015,2934,3747,3690,2879,2995,3970,3853,3448,3500,3737,3808,2555,2937,4843,4601,4951,5020,5780,5736,5462,5436,2021,2010,1967,1915,3639,3912,3697,3310,6439,6429,6376,6268,5361,5898,4830,4925,3032,2799,3431,3529,2990,3044,3471,3859,6349,6326,6787,6706,5683,5465,5572,5517,3663,3750,3506,3749,2022,1790,1535,2012,6430,6729,7194,7681,6443,6498,7248,7205,5061,5034,5523,5327,5794,5678,5905,5552,4980,4602,5477,5307,6355,6545,6329,6540,3421,3317,3530,3738,3692,3435,3019,2938,3199,3263,3854,3479,3508,3698,2557,2997,7193,7190,6488,6730,6789,6737,6679,6384,4845,5041,5356,5784,5744,5707,5062,4851,6350,6239,6471,6708,6944,6546,7304,7428,3021,3048,3643,3537,3753,3318,3779,3422,4955,5036,5900,5825,5246,5362,5685,5518,5466,5576,4926,5007,4967,4735,5478,5525,2940,2998,3671,3740,3862,3532,3321,3754,5423,5689,5364,5715,6500,6451,6445,6561,7432,7206,6357,6712,4984,4575,5309,5686,6976,6732,6330,6790,5796,5481,5826,5709,2025,1975,1022,1023,2911,2807,3056,2558,5042,4846,5335,5906,5767,5468,5539,5526,3645,3483,3875,3861,3781,3437,3512,3700,6548,6371,7040,6738,5584,5800,5065,4604,6562,6446,7682,7264,6793,6915,6504,6683,3761,3446,3495,3538,3027,3001,3865,3322,3443,3553,3646,3485,2026,1917,1999,1918,4957,4853,5921,5482,5066,5015,5710,5529,7235,7209,7312,7196,6255,6475,6358,6453,4971,4958,5690,5908,6332,6593,6361,6552,5717,5692,4854,5044,6753,6740,6695,6794,2811,3022,3675,3438,3540,3727,3002,2927,3972,3877,3029,3030,3687,3756,3782,3501,5339,5431,5828,5718,5721,5771,5541,5912,7237,7210,6373,6303,5073,5019,5922,5731,5068,4857,5722,5530,6564,6454,7684,7217,3866,3324,2975,3043,3445,3677,3920,3762,6685,6917,7242,7440,6754,6801,6477,6263,6744,6483,6362,6512,5351,5808,4973,5048,6796,6374,6535,6457,5773,5368,4591,4799,2033,1979,2028,2034,3785,3704,3554,3878,5489,5310,5484,5774,5031,5074,5779,5455,5600,5435,5341,5490,5733,5542,5545,5571,6594,6686,7328,7688,6478,6377,6699,6918,6319,6267,6802,6756,7456,7696,6485,6921,3499,3976,3486,3295,3735,3764,3907,3691,3544,3527,3868,3881,2813,3004,3786,3793,5734,5663,5355,5532,6364,6458,7360,7712,3909,3788,3936,3882,2935,3033,3678,3984,4979,4858,5463,5492,6568,6539,6817,6727,3794,3768,3449,3507,3045,3034,3889,3391,4599,5021,5895,5437,5342,5546,4974,4831,7238,7212,6499,6431,5573,5357,5089,4981,1981,2007,1982,2011,3693,3884,3556,3502,6327,6378,7299,7249,5679,5953,5924,5832,6269,6701,6804,6760,5035,5090,5954,5781,7218,7241,7183,7488,5928,5899,5737,5724,6486,6460,6385,6922,6707,6489,6596,6541,3910,3739,2991,2939,3560,3311,3450,3531,5553,5840,5936,5956,5076,5022,4860,5037,3694,3699,3509,3452,3890,3533,3046,2814,5467,6017,5363,5782,7301,7220,7191,7302,6547,6351,6818,6702,6929,6576,6501,6331,3568,3741,2559,3036,3751,3796,3913,3701,6380,6808,6768,6731,5574,5438,5063,4982,3423,3539,3510,3809,2036,2023,2040,1791,7552,7244,6924,6849,5795,5738,4927,5043,6018,5901,5496,5548,6270,6386,6709,6542,3323,3534,3514,3513,3049,2999,3541,3319,5785,5856,4603,4985,5687,5960,5745,5358,5080,4847,5479,5577,5038,5092,5519,5907,7305,7250,6490,6600,6502,6549,7224,7195,5711,5798,5554,5797,7265,7207,6447,6713,6388,6739,6333,6710,5469,5365,5578,5786,5740,5483,5067,4986,6820,6505,6850,6733,5247,5311,5902,5527,6359,6930,6791,6492,3755,3914,3810,3971,3742,3855,3921,3892,6563,6550,6608,6824,6945,6506,7427,7252,3800,4000,3863,3439,3050,2941,3973,3702,6734,6553,7306,7313,7429,7197,6714,6932,5556,5746,4605,5045,5069,5096,5691,5585,3757,3916,3705,3783,2013,2027,2014,2029,5801,5366,5827,5470,4988,5046,5719,5788,3325,3763,3023,2942,3896,3974,3758,3812,5910,5580,5369,5802,6741,6716,6363,6455,7211,7266,7683,7256,6852,6742,6745,6795,3922,3447,3516,3542,3555,3487,3557,3977,4959,4855,5104,4606,6565,6936,6946,6755,5693,5531,5923,5909,5829,5485,5560,5748,7308,7198,6746,6554,5809,5494,5543,5586,7314,7239,6375,6832,6797,6392,6513,6334,5075,5049,5913,5370,5491,5601,5694,5533,3057,3003,3867,3545,3706,3816,3924,4032,3937,3765,3869,3978,3787,3879,3052,3058,6508,6798,6803,6479,7430,7433,6624,6459,6365,6514,7329,7744,4859,5070,5723,5486,7213,7268,6757,6566,5588,5775,5050,4975,1983,2035,2037,1919,3546,3708,3005,3031,6569,6595,7808,7219,6020,5925,5077,5078,3766,3326,3789,3647,3985,3870,3006,3035,6758,6687,6379,6556,6487,6516,7316,7214,5735,5804,5830,5549,6919,6461,6366,6570,5914,5372,5023,5091,5493,5725,5968,5810,3883,3451,3769,3503,3679,3561,3938,3795,5833,5752,5602,5926,7243,7434,6597,6381,5547,6024,5534,5343,6703,6977,6948,6856,3060,3047,3558,3980,3790,3885,3548,3928,7441,7685,7272,7330,5783,5812,5955,5739,3911,3797,3064,2815,3770,3986,3824,3940,5592,5575,5916,5929,6978,6805,6952,6923,7221,7361,6761,6748,7320,7245,6577,6864,4861,5052,5834,5841,6960,6980,6491,7041,7332,7936,7436,7442,6387,6806,6598,6462,5957,5836,5984,5930,4983,5081,5726,6032,5842,5816,5497,5555,6819,6762,7686,7222,3891,3886,3511,4001,3562,3695,3743,3811,7042,6925,6520,6572,7251,7225,6809,6880,5093,5082,5937,5439,5741,5932,5604,5550,5958,5787,5039,4987,6711,6984,6769,6382,3988,3535,3915,3453,3037,3051,3569,4002,3893,3798,4033,3944,3564,3703,3801,3772,7689,7280,7303,7246,5608,5359,5498,5579,6503,6601,7457,7362,6543,6931,6735,6822,7253,7444,6578,6821,5742,5747,5557,5500,3515,3813,3038,3053,3917,3992,3454,3894,5938,5581,5094,4862,6493,6389,6602,6810,6764,6507,6271,6335,6926,6551,7690,7226,5616,5789,4607,5084,5799,5844,5961,5749,3923,3802,3570,3952,3814,3517,3543,3707,3007,3059,4004,3759,3975,3897,3572,3918,7336,7307,6580,6770,5471,5587,5558,5857,5371,5582,5562,5561,6715,6609,7267,7254,5097,5047,5589,5367,6825,6390,6851,6494,5803,5962,5858,6019,7228,7448,6743,6812,6934,6604,7257,7458,5790,5903,5969,5940,6393,6826,6717,6555,6947,6933,6853,6509,3817,3898,3804,3518,4034,4008,3547,3925,7697,7692,7364,7309,5848,6048,5911,5487,6584,6772,6833,6518,6567,6610,6937,6394,5098,4989,6021,5750,5805,5964,5753,5831,3939,3709,3979,3559,3061,2943,3767,3818,5373,5811,5071,4990,7269,7315,7344,7310,5944,6022,5806,5860,7698,7489,7199,7368,3900,3825,3926,3929,3576,3871,33
27,4036,6515,6625,6718,6557,5970,5495,5564,5590,3981,3791,3549,3987,3710,3820,3054,3062,7258,7713,7460,7490,6747,6510,6612,6799,5603,5535,5605,6025,7044,6949,6759,6828,7700,7431,6854,6573,7317,7270,6938,6396,4016,3941,3563,3771,2030,2038,2041,2042,5105,5051,5915,5593,5754,5864,5972,6080,7273,7472,6517,6749,5985,5813,5917,6026,6992,6834,6857,6776,7464,7331,6626,6950,5835,5927,5100,5106,7260,7215,6571,7048,5594,5756,5053,5079,7435,7553,6558,6367,6807,6836,7714,7492,6979,6763,7376,7554,6616,6599,6940,6953,5814,5374,5837,5695,7318,7321,7333,7274,6033,5918,5054,5083,6858,6865,6981,6860,7008,6954,6750,7056,7223,7496,6866,6840,5931,5499,5817,5551,3826,3930,3550,4040,3455,3982,3887,4048,5727,5609,5986,5843,6521,6579,6961,6463,5108,5095,5606,6028,7704,7745,6765,6956,5838,5933,5596,5976,7716,7281,6628,6574,3942,3989,3065,3066,3799,3565,3945,3773,5959,5845,5112,4863,7322,7247,7437,7276,6982,6811,6632,6383,6522,6603,7746,7392,5818,6034,5872,5988,5939,5934,5559,6049,4003,3828,3932,3571,3803,3895,3994,3946,7334,7687,7720,7363,6766,6771,6581,6524,7438,7809,7691,7443,5610,5743,5791,5859,6962,6605,6640,6813,6823,6868,6985,6773,6036,5583,5963,5501,6495,6611,7748,7459,3990,3574,4005,3815,3039,3068,3832,3953,7227,7337,6582,6881,7728,7282,6395,6606,5085,5099,5617,6050,6586,6585,6613,6391,5941,5846,6081,5992,7445,7324,6827,6986,7255,7365,7284,7338,5612,5751,5849,5820,5563,5861,5086,5101,6882,7043,6814,6927,3566,3774,3993,3573,3948,3919,4064,3519,7229,7699,7693,7810,6993,6964,7449,7446,3805,3899,4006,3954,4009,4035,3819,3577,6872,7072,7694,7345,5965,6040,5502,5942,5971,5850,5618,6000,6935,6511,7045,6774,7461,7556,6829,6988,6777,6855,7259,7752,5862,5565,5591,5755,7937,7366,7340,7288,7369,7504,6397,6835,7230,7450,6968,7046,5055,5107,6052,5807,6830,6884,6994,6519,3927,3996,3806,3901,4037,4010,3956,3578,6588,6614,6627,6559,7311,7271,7346,7462,7261,7812,7370,7760,6023,5945,5620,5966,5865,5946,5852,5566,6629,7049,7491,7560,6082,6056,5595,5973,6939,6617,7465,7938,5987,5757,6027,5607,6778,6888,6996,7104,7275,7348,7009,6837,5109,4991,5815,5866,7319,7377,6941,7050,7452,7816,6859,6951,3821,4017,4038,3827,3931,4012,3902,3983,7262,7372,6618,6780,7466,7568,7776,7520,5948,5873,5974,5977,6838,6398,6861,6719,5624,5919,5375,6084,7057,6942,7493,7701,7323,7378,7473,7715,6029,5839,5597,6035,3943,3711,3960,3551,4018,3822,4041,3580,7468,7277,6955,6523,5758,5868,5102,5110,7352,7702,6841,6575,6751,6633,7705,7283,6064,5989,5611,5819,7010,6867,6630,7052,6862,6957,6620,7000,7335,7393,7494,7474,6983,6869,7940,7325,7824,7497,6842,7058,6896,7012,7278,7285,6963,6958,7380,7339,3933,3829,4042,3991,2015,2044,2031,2039,5874,5978,5598,6088,7944,7498,7394,7717,5503,6030,5935,6096,7706,7555,7476,7384,6583,7073,6634,6767,5990,6037,5113,5114,6815,6883,7060,6607,5847,5613,5993,5821,6987,6525,7584,7439,7447,7326,7505,7718,6051,5876,5980,5619,6641,7074,7840,7286,3947,3934,3830,4020,4049,3995,4044,3833,6965,6870,7105,7016,7500,7747,6636,6775,3949,4024,3567,3775,4007,4050,3055,3063,7708,7557,7341,7289,6873,6844,6587,6885,5851,5943,6042,5994,6038,5622,6053,5863,7721,7367,7952,7347,7396,7506,6989,7064,3955,3834,3575,3997,3950,3807,4065,3957,7480,7872,6526,6966,5087,5116,5880,6001,7558,7342,6995,6874,5614,5822,6041,5621,7722,7749,7561,7451,6642,7024,7290,7616,6886,6589,6615,6779,5996,5967,6112,5567,4011,4066,4052,3998,3836,4013,4039,3958,7076,6831,7521,7729,7047,6969,7371,7231,5853,5947,6054,6002,7508,7562,6644,6990,6057,6083,5867,5625,6889,6970,7695,7750,7724,7349,7463,7453,6876,6590,7400,7292,3903,4019,3579,3961,4056,3823,4014,4068,7373,7350,7811,7730,7106,7080,6619,6997,7011,6781,7454,7753,5975,6044,5854,5949,7467,7522,7379,7569,7051,6631,6839,6890,6972,6897,7353,7564,6085,6058,6004,5626,5869,6065,6086,5875,7512,7754,6998,7001,7813,7761,7703,7408,7374,7263,6648,6943,5979,6060,5950,6031,6399,7108,7495,7732,7968,7570,7524,7475,7053,6863,6621,7059,4043,3962,3581,4021,2043,2045,2046,2047,5991,5759,6008,5599,6066,5870,6089,5628,7469,7585,6782,6892,7088,7013,7381,7736,6635,6843,8000,7756,6898,7002,7354,7814,7572,7395,6622,7112,8064,7762,7586,7470,5981,5877,6090,6039,7817,7939,6527,7054,7528,7707,7279,7499,6959,7120,7014,7061,4045,4072,3964,4022,3935,3831,4080,3582,5995,5982,5878,6068,6871,6637,7382,7477,7017,6845,7356,7617,6097,6043,6092,5881,7385,7576,7075,6900,5997,6072,5615,5823,7777,7764,7719,7818,7004,6643,7397,7327,7588,7478,7709,7941,6055,6098,5103,5111,6875,6967,7066,7018,7778,7825,7062,6646,4051,4025,3067,3069,3835,4046,4026,3951,7501,7287,7768,7507,7077,6887,7386,7536,6904,7025,7820,7398,7559,7481,7618,7710,7502,7401,6638,6846,7723,7942,7065,6645,7343,7291,7826,7780,7509,7945,7020,6991,6003,5882,5623,6045,7136,6591,7388,7482,6877,6971,7592,7563,7078,7026,7841,7751,5998,5855,6113,6005,7081,7107,7523,7455,7351,7402,7293,7725,6891,6649,6999,7068,6059,6114,6100,6046,7828,7784,7510,7484,4053,4054,3999,4067,3837,4028,3959,4057,7409,7946,6878,6973,7731,7513,7620,7565,7109,7082,7571,7375,5884,6061,6087,6006,7842,7726,7953,7600,7028,6650,7525,7355,6893,7089,7404,7832,7792,7755,71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シーケンスグループ2: Z2_8192
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シーケンスグループ3: Q3_2048
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シーケンスグループ3: Z3_2048
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シーケンスグループ3: Q3_4096
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シーケンスグループ3: Z3_4096
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シーケンスグループ3: Q3_8192
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2847,5056,3278,6191,1530,5404,3167,4961,2303,6411,3399,5768,1773,4789,3012,6529,3636,5214,2957,4893,1969,5324,3872,6690,2767,5002,3474,5418,1990,6468,3428,4811,2525,5520,3379,7185,1779,4903,2963,5728,3373,4570,2686,6352,5472,1883,4732,3489,6
530,3285,5445,2796,4790,1964,6294,3640,5653,2992,4350,3904,6297,1854,5275,2917,4813,3660,6309,3258,5330,1935,4671,2539,5425,3718,6250,2747,5009,1007,5667,3476,6199,4894,3299,5420,2802,7178,1895,4907,3968,5229,2906,6472,3666,4475,1663,5304,2526,6680,3490,4793,3374,5654,1912,4527,3016,6721,3721,4703,2431,4585,6692,1503,5657,3843,4962,2958,6257,3432,5235,1970,4819,3611,6298,2863,5287,3183,4582,1774,6223,3024,5345,3403,5004,3286,6413,5446,1993,4814,2918,5426,3381,7186,2965,4909,1532,5892,3260,6252,3521,4572,2775,5277,1885,6722,3289,4952,5776,2541,6368,3480,4935,1781,5449,2921,6310,3681,4821,3668,5230,1994,6663,2749,4794,3623,5237,6696,2979,5010,3722,5332,1943,6339,3301,4848,2804,5291,3231,7296,1015,4964,2908,5896,3492,6414,4915,3382,5450,1899,6785,2547,4910,3613,5346,2779,4535,1886,6667,3845,5669,5025,3682,6419,2871,5658,3729,4586,1782,6724,2970,5507,3405,4719,3191,6435,1972,5428,4767,2922,6203,3672,5336,2966,4835,2001,7180,3411,5536,3290,5012,2550,6313,5391,1947,4559,3440,6704,2981,5399,3724,4939,3302,6258,1996,5278,4477,2791,6421,3463,5457,3385,4593,1785,6300,2808,5670,3522,5026,6231,2929,5792,1901,4917,3614,6341,3406,5238,2542,4822,3305,7201,5452,1976,5699,2750,6260,3627,5057,3846,6314,1519,5660,2969,4968,6205,3247,5509,2549,4588,3195,6675,1727,5293,3730,4727,6669,2924,5241,3684,4825,1959,6786,3413,5673,2895,4796,3849,6425,5319,3040,4539,2002,7233,3292,5904,3386,4837,2495,6422,5299,1019,4941,3496,6670,3467,5348,2781,5016,6321,3745,5458,1907,4478,2875,6437,3655,5432,3427,4918,6532,1786,5824,2982,6235,3359,5510,3255,4947,2930,7188,5294,1527,4826,3306,6728,2985,5674,3197,4594,6913,1949,5701,3629,4976,3011,6342,3732,5513,3688,4838,6316,1902,5403,2795,4541,3414,6264,2553,5242,6345,3388,4567,1759,5568,3313,6480,2903,5473,4731,3850,7424,2017,5681,3635,5028,2972,6206,5323,3417,4783,2782,6426,1909,5183,3524,4999,6287,3469,5460,2877,6247,3475,4921,1963,5514,6322,3279,4596,3013,5647,3746,6438,2018,5702,4942,3630,7202,2986,5676,3857,4841,3504,6237,5301,2004,6788,2932,4922,3429,5415,6346,2554,4828,3259,5405,1950,6736,3308,4542,5352,2797,6467,3736,5244,3696,7192,5058,1788,5325,2993,6536,3659,5032,3852,5302,6441,3014,4571,1965,5763,3777,6914,4949,3198,6251,2803,5682,3314,4963,1991,6324,5406,2907,5705,3637,6295,3470,4733,5419,2988,7204,1021,5003,3418,6353,5474,3528,4583,2878,6428,1910,5331,4791,3430,6792,3477,5521,2959,6238,3375,5305,4842,1855,6348,3641,5516,2919,4924,6442,3316,5464,3667,7175,1971,4849,5706,2687,6544,3261,4950,3638,5765,6752,2936,5713,1531,6496,3748,4953,5655,3433,6469,2527,4600,3778,5360,6677,1913,4895,3661,7297,2994,5326,5215,3287,6299,2798,4351,5447,3858,6354,2008,5060,3719,6449,5684,3017,5005,3420,6691,3491,5920,4815,1775,6444,2556,5522,3478,7234,5476,3536,4573,2909,6253,5427,1966,5011,3752,6328,3873,5421,6678,2805,4734,3434,5537,2020,6681,5333,3662,6259,3018,4844,5688,3481,6311,3642,5040,1995,5952,7680,2967,4965,3860,6369,3669,5708,5306,3644,6470,2923,4587,6450,1914,5766,3291,4795,3383,6916,5524,2910,5347,3780,6301,4850,1533,7179,3670,6016,2806,4954,6800,3673,5714,3723,6473,4574,1973,5538,2996,6254,5422,3493,5064,3864,6261,3025,5769,6356,3874,4479,1997,5891,7208,3683,5006,2971,6315,3674,5480,5659,3482,6920,2024,4911,6474,3020,5231,3303,5072,6370,3760,5451,2809,6693,5334,1916,4966,3725,7236,3320,5429,6682,2925,5013,3441,5308,6531,3262,5569,1974,6452,4823,3436,5337,3000,6360,4589,3726,7298,3731,5528,4969,1887,6560,2543,5729,3407,6415,5716,3552,4797,2751,6423,5671,3387,6302,1783,5027,5770,3293,6481,2983,5349,7187,3442,4852,3685,5279,6694,3026,4956,1022,6816,5540,3494,5430,3497,6262,4595,3523,6476,2931,5661,4827,2032,6723,3686,5893,7181,3615,5730,2810,4919,6684,3307,5777,3484,6533,5018,1534,5453,2551,6317,5239,3415,6265,3444,4970,5720,2973,7216,3847,5014,6697,2003,5459,3389,6343,5338,3294,4598,2926,6928,5488,3498,6323,3525,5029,5772,1977,7182,2783,5350,6372,3309,4839,3631,5511,6482,3905,5433,1787,6456,4856,3041,6848,5570,3876,4977,3784,6534,5662,2933,7240,3906,5454,4590,1998,6318,3733,5353,6698,2987,4798,3880,6725,5675,3851,5894,6537,3689,5017,1978,7425,5295,3042,4597,3676,6427,5243,3505,6266,3028,5778,6592,3792,4972,1903,5732,6497,3888,5461,7189,3908,4943,2974,5897,6705,3419,5088,3969,6347,5340,2005,6207,5434,2812,4543,3315,6484,5544,3734,7300,3526,5515,6538,2989,4829,5793,2006,6671,3390,4923,6726,3747,5703,3015,6700,5475,3690,5030,6325,3970,5407,1951,7203,5303,3853,6439,2934,4978,5354,3448,6429,5033,3500,6376,2879,5245,6268,3737,5677,2019,5059,7426,3808,5780,6349,3639,5736,2995,6326,4843,3912,5462,6787,3697,4601,1789,6706,5436,2555,7194,5361,3310,4951,3431,6430,5898,3529,6729,5683,2937,6443,1980,5020,7681,3471,5465,4830,3859,6498,3663,5572,6355,3032,5517,6545,3750,4925,3506,5523,6329,1911,5327,7248,2799,5061,3749,6540,5794,3421,6488,5678,3317,5034,2990,6730,5905,2009,6789,5552,3530,7205,3738,4980,5477,3692,6737,4602,3044,6679,3435,5307,6384,3199,5356,6350,2021,4845,3263,5784,7193,3019,5744,6239,3854,5041,6471,3479,5707,2938,6708,5900,2010,5062,7190,3508,5825,3698,6944,5246,3643,6546,4851,2557,6500,5362,3537,4955,3753,6451,5685,1967,7304,5518,3318,6445,5036,2997,6561,3779,5466,6357,3422,5576,4926,3671,6712,5478,3021,7428,1915,5525,6976,3740,5007,6732,3862,5423,5689,3532,6330,3048,4967,7432,3321,5364,6790,3754,5715,6548,2022,4735,3645,6371,5309,2940,5686,7040,3483,4984,7206,3875,5796,6738,3861,5481,1790,6562,4575,2998,6446,5826,3781,7682,5709,3437,5042,3512,6793,5335,2911,6915,4846,3700,6504,5906,1535,6683,5767,3761,7264,3446,5065,6255,2807,5468,5539,3495,6475,4604,3538,6358,5526,3865,7235,5584,3056,6453,1023,4957,6332,3322,5800,6593,3443,5921,4853,3553,7209,5482,2558,6361,5710,3646,6552,3485,5066,6753,2012,5529,6740,3675,5690,7312,3027,5015,6695,3438,5908,5717,3540,6794,3727,5692,6373,3001,4971,7196,2025,5339,6303,3972,5431,6564,3877,4958,6454,3687,5828,7237,2811,5718,6685,3756,4854,3782,5721,6917,1975,5771,6754,3501,5044,7210,3022,5541,6801,3866,5912,6477,3324,5073,6263,3445,5922,7684,3677,5731,6744,3002,5019,6483,2026,5722,3920,6362,5530,3762,5068,7217,3785,5351,6512,2927,5808,6796,3704,4857,6374,3554,5773,7242,1917,5368,6535,3878,4973,6457,3029,5489,6594,3499,5310,7440,3976,5484,6686,3486,5048,6478,3030,5774,6377,3295,5779,1999,4591,7328,3735,5455,6699,3764,5600,6918,3907,4799,6319,2975,5435,7688,3691,5341,6267,3544,5031,6802,3527,5490,6756,1918,5733,7456,3043,5074,6485,3868,5542,6921,3881,5545,6364,3786,5571,7696,3793,4979,6458,2813,5734,6568,3909,5663,6539,2033,4858,7360,3788,5355,6817,3936,5532,6727,3004,4599,6499,3882,5463,7712,3678,5492,6431,3984,5021,6327,3794,5895,6378,1979,5437,7238,2935,5342,6269,3768,4974,6701,3449,5546,6804,5573,3507,7212,4831,3889,6760,5357,3033,6486,5679,3391,6460,5953,2028,7299,5089,3693,6385,5924,3884,6922,5832,3045,7249,4981,3556,6707,5954,3502,6489,5781,3910,6596,5035,3739,7218,5928,2034,6541,5899,3034,6547,5737,6351,3560,5090,7241,3311,5724,6818,3450,5553,6702,3531,5076,7183,2991,5840,6929,3694,5936,6576,1981,5956,6501,3699,5022,7488,3509,5467,6331,6017,3452,6380,4860,2939,6808,5363,3890,7301,5782,3533,6768,5574,3568,6731,5037,3741,7220,5438,2007,6924,5795,6849,3046,5063,6270,3751,5738,7191,3796,6018,6386,3913,5901,6709,2814,4982,5496,3701,5548,7302,4927,3423,6542,5785,3539,6490,5856,1982,6600,5687,3510,7552,5043,2559,6502,5960,6549,3809,5745,7244,3323,4603,6447,3534,5358,6713,3514,5479,6388,3513,5577,7305,4985,2011,6739,5519,3036,6333,5907,3541,7250,5711,3319,6710,5080,3755,6820,5798,6505,3914,5554,7224,3049,4847,6850,3810,5797,6733,3971,5469,7195,5365,3742,6359,5038,2036,6930,5578,3855,6791,5786,2999,7265,5740,6492,3921,5092,6563,3892,5483,7207,3800,5247,6550,5311,4000,6608,5067,3050,6824,5902,3863,7427,5527,2023,6945,4986,6506,3439,5556,7252,3973,5746,6734,3702,5691,6553,4605,3757,7306,5585,2941,6714,5801,3916,6932,5366,6741,3705,5045,7313,3783,5827,6716,2040,5470,6363,5719,3325,7429,5069,3023,6455,5788,3763,6852,5910,7197,3896,5580,6742,3974,5096,6745,5369,3758,7211,5802,2942,6795,5693,3812,6565,4988,6936,3922,5531,7266,1791,5923,6946,3447,5909,6755,5046,3516,7683,5829,3542,6746,5485,6554,3057,5560,7256,3555,4959,6375,3487,6832,5748,7308,3557,5809,6797,3977,5494,6392,4855,3867,7198,5543,2013,6513,5586,6334,3003,5913,6508,3545,5104,7314,3706,5370,6798,5491,3816,6803,5601,3924,7239,4606,6479,4032,5694,6624,3052,7430,5533,6459,3937,5723,6365,3765,5075,7433,5486,2027,6514,5588,3869,6757,5775,7329,3978,5049,6566,3058,6020,6569,5925,3787,7744,5735,3879,6595,6758,4859,3546,7213,5804,3708,6687,5830,6379,3766,5549,7268,3005,5070,6556,5914,2014,6487,5372,3326,6516,5493,7808,3789,6919,5725,6461,3647,5050,7219,3985,5968,6366,5810,3870,6570,5833,3031,7316,4975,6597,3883,5752,6381,3451,7214,5602,6703,3769,5926,6977,5077,3503,7243,5547,2029,6948,6024,6856,3679,5534,7434,3561,6978,5078,6805,3006,5343,7441,5783,3938,6952,5812,3795,6923,5955,7685,3558,5023,6761,3980,7272,5739,6748,3790,5592,6577,5575,3035,7330,5091,3885,6864,5916,6960,1983,5929,7221,6980,3548,5834,6491,3928,5841,7361,4861,3911,7041,5957,6387,3797,7320,5836,3060,6806,5984,6598,3770,5052,7245,5930,3986,6462,5726,6819,3824,7332,6032,3940,6762,5842,7042,3891,4983,7936,5816,2035,6925,5497,3886,6520,7436,5555,3047,6572,5937,7442,3511,5081,6809,5439,4001,6880,7686,5741,3562,6711,5932,3695,6984,5093,7222,3743,5604,6769,6382,3811,5550,7251,5958,3064,6503,5787,3988,6601,5082,7225,3535,6543,5608,6931,2037,5359,7689,5498,3915,6735,7280,5579,3453,6822,5039,3569,6578,5742,7303,2815,5747,6821,6493,4002,5557,7246,5500,3893,6389,4987,6602,3798,7457,5938,6810,4033,5581,7362,5616,3944,6764,5789,3564,6507,7253,5094,3703,6271,5799,6335,1919,5844,7444,6926,3037,5961,7690,4862,3801,6551,5749,6580,3772,7226,5471,6770,3515,5587,6715,5558,3813,7336,6609,4607,3917,7307,5857,6825,3992,5371,6390,7267,3051,5582,6851,5562,3454,6494,5561,7254,3894,6743,5084,7228,3923,5589,6812,5367,3802,6934,7448,5803,2030,6604,5962,6393,3570,7257,5097,6826,3952,5858,7458,6019,3038,6717,6555,5790,3814,7697,5903,6947,3517,5047,6933,7692,3543,5969,6853,5940,3707,7364,6509,5848,4004,6584,6048,7309,3759,5098,6772,7269,3975,5911,6833,5487,3053,6518,7315,6021,3897,6567,5750,6610,2038,5805,7344,6937,3572,4989,7310,5964,3918,6394,6515,5753,3817,7698,5831,6625,7489,3898,5373,6718,5071,3804,6557,5811,7199,3518,6747,5944,7368,3007,6022,6510,6612,4034,5806,7258,4990,4008,6799,7713,5860,3547,7044,5970,6949,7460,39
25,5495,6759,5564,3939,7490,6828,5590,2041,6854,5105,7700,3709,6573,5603,7431,5535,3979,6938,6396,5605,3059,7317,6025,6517,3559,7270,5915,6749,3767,5051,6992,7273,5593,3818,6834,5754,7472,3900,6857,5864,7464,3825,5972,6776,6626,3926,6080,7331,5100,6950,3929,7260,5985,6571,3061,5813,7048,7215,3576,5917,6558,6026,7435,3871,6367,5106,6807,3327,5835,7553,6836,2042,5927,7714,6979,5594,4036,7492,5756,6763,3981,6616,5814,7376,3791,5053,6599,7554,5374,3549,6940,5837,6953,3987,7318,5695,6858,7321,2943,6033,6865,5918,3710,7333,6981,5079,3820,6860,5931,7274,7008,4016,5499,7223,6954,3941,5817,7496,5551,6750,3563,7056,5727,7704,3771,5609,6866,7745,5054,3826,6840,7716,5986,3930,6521,5843,6579,7281,2015,5606,6961,7322,3054,6028,6463,5838,7247,3550,6765,5083,7437,4040,6956,5933,6628,5596,3455,7276,6574,5976,7746,3982,6982,5959,7392,3887,5845,6811,6632,5108,4048,7334,6383,5818,3942,7687,6034,6522,7720,3989,5872,6603,7363,5988,3062,6766,5939,6771,3799,7438,5934,6581,7809,3565,5095,6524,5559,3945,7691,6962,6049,7443,3773,6605,5610,6640,7748,4003,5743,6813,5791,7459,2044,6823,5859,7227,3828,6868,5112,7337,6985,3932,6036,6773,5583,7728,3571,6495,5963,7282,3803,6611,5501,7445,6582,3065,5617,7324,6881,4863,3895,7255,6050,6395,7365,3994,5941,6606,6586,5846,3946,7284,6585,6081,3990,7338,5992,6613,7229,3574,5612,6391,7699,5751,4005,6827,7693,5085,6986,3815,7810,5849,6882,7043,3832,5820,7449,5563,6814,3953,7446,5861,6927,7694,3066,5965,6993,7345,6040,3566,6964,7461,5099,2031,6872,7556,5502,7072,3774,7259,5942,6935,5971,3993,6511,7752,5850,7045,3573,7937,5618,6774,7366,3948,6000,6829,7340,5086,3919,6988,7288,5862,6777,4064,7369,5565,6855,7504,3519,5591,6397,7230,5755,3805,6835,7450,6052,6968,3899,7311,5807,7046,7271,6023,3039,6830,5101,6884,7346,4006,5945,6994,7462,5620,3954,6519,7261,5966,6588,4009,7812,5865,6614,7370,4035,5946,6627,7760,5852,3819,6559,7491,5566,6629,3577,7560,5055,7049,7465,6082,3927,6939,7938,6056,6617,2039,7275,5595,6778,7348,3996,5973,6888,7319,5987,3806,6996,7377,7104,5757,7452,3901,7009,6027,7816,6837,3068,5107,7262,6941,5607,4037,7372,7050,5815,7466,6859,4010,5866,7568,6951,5948,3956,7776,6618,5873,7520,3578,6780,5974,7493,6838,5977,3821,7701,6398,5109,7323,4017,6861,5624,7378,6719,4038,7473,5919,7057,7715,5375,3827,6942,7468,6084,6955,3931,7277,6029,6523,7352,5839,4012,6841,7702,5597,6575,3902,6751,6633,6035,7705,7010,3983,4991,7283,6867,5758,3055,7335,6630,5868,7393,7052,3943,6064,7494,6862,7474,3711,5989,6957,7940,5611,6620,3960,7325,5819,7000,7824,5874,2043,6983,7497,5978,6869,3551,7278,6842,5102,7285,7058,4018,5598,7380,6896,6088,7339,3822,7012,7944,5503,6963,4041,7498,6030,6958,7394,5935,3580,6583,7717,6096,7073,7706,3933,6634,5990,7555,6767,6037,3829,7476,6815,5110,7384,6883,4042,7584,5847,7060,7439,3991,5613,6607,7447,6987,5993,3063,7326,6525,5821,7505,6641,3947,6051,7718,7074,7840,5876,3934,6965,7286,5980,6870,7500,3830,5619,7747,7105,7708,5851,4020,7016,7557,5113,6636,7341,4049,6775,5943,7289,6873,6042,3995,7721,6844,7367,5994,6587,4044,7952,6038,6885,7347,6989,3833,5622,7396,7064,6053,7506,3949,6526,7480,5863,6966,7872,4024,5880,7558,6995,7342,6001,3567,6874,7722,5114,6642,7749,2045,7024,5614,7561,6886,5822,7451,3775,6589,7290,6041,6615,7616,4007,5621,7521,6779,7729,5996,4050,7076,7371,6831,5967,7231,3067,7047,6112,7508,6969,7562,5567,3955,6644,7695,5853,7750,6990,3834,7724,5947,6889,7349,6970,5087,3575,7463,6876,6054,7453,6590,3997,7400,6002,7292,7106,7373,3950,6057,7080,7350,6619,6083,7811,3807,6997,5867,7730,7011,7454,4065,5625,7753,6781,7467,5975,7051,3957,7522,6631,6044,7379,6839,4011,5854,7569,7353,6890,5949,7564,4066,6972,7512,5116,6897,7754,6998,4052,6085,7813,7761,6058,7001,3998,7703,6648,6004,7408,6943,7374,3836,5626,7263,6399,7495,5869,7108,4013,7732,7053,6065,7968,6863,7570,4039,6086,7524,6621,7475,5875,7059,3069,7469,6782,5979,7585,7381,3958,6892,6060,7736,7088,8000,5950,3903,7013,7756,7354,6031,6635,7814,4019,6843,5103,7572,7395,6898,5991,3579,8064,7002,7762,5759,6622,7586,3961,7470,6008,7112,7817,6527,5599,7939,2046,7054,7528,6066,7707,6959,7279,4056,5870,7120,7499,7382,6089,7014,3823,7477,7061,5628,7356,7617,6871,4014,5981,7385,6637,7576,5877,7017,4068,7777,7764,6090,6845,7719,7075,7818,4043,6039,7397,6900,7327,5111,7004,3962,7588,7478,5995,6643,7709,6875,3581,5982,7941,7778,6967,7825,5878,7066,4021,7501,7287,6068,7018,7768,7062,4045,6097,7507,7386,6646,6043,7536,7077,4072,7820,7398,6092,6887,7559,7481,5881,3964,6904,7618,7025,5997,7710,7502,4022,6638,7401,6072,6846,7723,7942,5615,3935,7065,7343,6645,7291,5823,7826,7020,3831,7780,6055,7509,6991,7945,7136,6098,3070,7388,7482,6591,5115,7592,7563,6877,4080,7841,6003,6971,7751,7523,5882,7078,3582,7455,7351,7026,5623,7402,7081,7293,4051,6045,7725,7107,7828,7784,5998,6891,4025,7510,6649,7484,5855,7409,6999,7946,3835,6113,7731,7068,7513,6878,6005,7620,4046,7565,6973,7571,6059,7375,7109,7842,4026,6114,7726,7082,7953,7600,6100,7028,7525,3951,6650,7355,6046,7404,6893,7832,7792,4053,5884,7089,7755,7948,7110,6061,7873,7294,4054,6899,7410,6087,70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シーケンスグループ3: Z3_8192
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シーケンスグループ4: Q4_2048
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シーケンスグループ4: Z4_2048
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シーケンスグループ4: Q4_4096
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シーケンスグループ4: Z4_4096
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シーケンスグループ4: Q4_8192
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2876,1853,4893,2801,6294,3278,6297,5768,2902,1015,3167,6309,3399,5214,2905,5324,5002,3636,3872,2552,5418,2847,6250,4811,5520,3474,6199,2303,6472,3012,5728,1989,4903,7232,3428,4570,2957,3379,4732,5472,3373,4790,4350,3489,6680,2767,5445,1962,5
653,1908,4813,6721,3285,1530,5275,2525,5330,4671,5009,3640,6692,5425,2963,4894,1773,4907,3904,7177,6257,1969,4475,1990,5667,3660,6298,5420,2686,6223,5229,2796,1779,4793,2992,6413,3258,6252,1883,5304,4527,3718,6722,3476,5654,2917,1964,4703,3299,6368,3968,2539,5657,2747,6310,4585,1854,3666,6663,3490,6696,5235,2802,1935,4962,3374,3721,4819,2906,3843,6339,4582,5287,3432,1019,3611,6414,2526,5345,1895,5446,7174,5004,3016,3183,1663,5426,2431,5892,4814,4909,3403,6785,5277,2958,4572,1912,4952,7185,3286,5776,2863,5449,4935,1503,5230,3381,6667,5237,3024,6419,5332,1970,4821,2918,6724,6435,1774,4794,5291,3260,5010,6203,3521,5896,2965,1993,4848,4964,3289,6313,3480,6704,1532,6258,1885,4915,3681,6421,3668,6300,5450,2775,4910,3623,3722,4535,2541,3301,6231,5025,1781,3231,7178,3492,6341,2921,5346,1994,5669,3382,4586,2749,6260,3613,5658,2979,5507,4719,1021,3845,6314,3682,5428,5336,1943,4767,3729,3405,5536,2804,5391,4835,5399,3191,2908,5278,2547,6205,5457,1899,5012,7186,6675,5670,2779,1886,4559,5792,3672,4939,6669,3411,6786,5238,2871,1782,4477,3290,6425,6422,1972,5452,2970,5699,4593,3440,6670,3724,6321,5660,2922,5026,4917,3302,6437,3463,2966,6532,4822,2001,5057,3385,7296,3522,6235,5509,2550,1947,5293,3614,4968,2981,6728,3406,6913,5241,1996,1022,4588,3305,6342,3627,5673,5319,3846,4727,3247,3195,5904,2791,5299,4825,1785,3730,6316,5348,2808,6264,5458,1901,4796,3684,3413,6345,5432,2929,4539,5824,3849,4837,2542,3292,6480,5510,1976,5294,3386,6206,2750,1519,5674,2969,5701,4941,6426,3496,2549,5513,2924,5016,4478,3467,6287,7180,5403,2895,1727,4918,3745,7201,3655,6247,5242,3040,6322,4947,5568,3427,4826,2495,6438,6237,5473,1959,4594,7233,4976,3359,6788,3255,2002,5681,3306,4838,4541,3197,6346,3629,5323,2781,1907,4567,1786,4731,3732,6736,3688,5183,6467,5460,1527,5028,3414,3388,6536,5514,2875,4783,1949,3313,2982,3850,6441,5647,1902,5702,3635,6914,5676,2930,1759,5301,2985,5415,4999,3011,3417,6251,5405,2795,4921,3524,6324,3469,5352,2553,5244,4596,7188,3475,2903,5325,2972,6295,4942,5302,3279,6353,2782,6428,2877,5763,2017,4841,7424,3746,4922,6792,3630,4828,5682,3857,4542,5058,3504,6238,6348,5406,1909,5705,1963,5032,3429,6442,3259,2018,6544,5419,4571,4949,3308,3736,6752,5474,3013,4963,2004,4733,3696,7202,3659,6496,1950,1788,5331,3852,6469,5521,2986,6677,5305,2932,1965,5003,2554,6299,3777,6354,5516,5464,3198,6449,3314,5706,2797,5765,4583,3637,3470,2993,5713,3014,6691,4791,5655,3418,6444,3528,6253,5360,2803,1991,4842,7192,3430,4924,2907,3477,6328,4849,5326,3375,4950,3641,6678,2988,5215,1910,5447,7204,4953,6681,3316,1855,5684,2878,5920,4600,4895,3667,6259,5522,2959,4351,1971,5060,3261,7175,3638,6311,5476,5005,1531,5427,3748,6369,5421,2919,6470,5537,1913,4815,2687,6450,3433,6916,2008,5333,3778,4573,6301,3661,5688,2936,1775,5011,3287,6800,3858,6473,5952,2527,6254,1966,3719,6261,3420,6356,5708,2994,4734,3491,3478,4844,2798,3536,6315,5040,5306,3752,7297,3873,6920,3017,5766,2020,5524,7234,4965,2556,3434,5347,2909,6016,4587,4795,3662,6474,3481,5714,5538,1995,4850,7680,3642,5422,2805,5769,4954,5891,3860,6370,5480,3018,6693,5659,1914,4574,7179,6682,6531,1533,5064,5231,3669,4479,6452,3644,6360,5451,2967,1973,5006,3291,6560,3383,6415,1997,6423,5334,4911,3780,6302,3670,6481,5429,2923,5072,3673,6694,3723,2910,3493,6816,4966,2024,3864,7208,3874,6262,5308,2806,1916,5569,3683,5013,2996,6476,3674,6723,5337,5528,1023,3482,6684,3303,5729,5716,7236,4823,3760,3725,5671,3025,5770,4589,5349,3320,6533,5279,2971,6317,5540,1974,4969,7298,3441,6265,5430,3020,4797,5661,3262,5027,6697,3436,6343,5893,1887,5730,3726,6928,6323,1783,5777,2809,5453,4852,6372,3731,6482,5239,2925,4956,4595,3407,6456,3552,7187,6848,2032,4827,3387,7181,3293,6534,5720,3000,6318,5459,3442,4919,2543,6698,3685,6725,5338,1534,7216,5018,3494,6537,3497,5488,5772,3523,4970,3686,6427,3615,5350,2751,5511,5014,2003,3307,6266,3484,5433,6592,5570,1977,4598,3415,3444,6497,5662,2983,5029,5454,3847,3026,3389,6705,5353,1787,5675,7182,6347,5894,2931,1998,5295,2810,5243,4839,6207,3294,6484,5778,2551,4856,3498,6538,7240,5732,2973,5461,4977,3525,7425,3309,6671,5897,2926,6726,4590,5340,3631,6700,2783,6325,6439,5434,1978,4798,7189,3905,5017,6429,3876,5544,3784,4597,4972,3906,6376,3733,6268,5515,1903,2005,4943,3880,6349,3851,5793,6326,5703,5088,3689,3676,6787,5475,3041,4543,2006,3505,7300,3792,6706,5407,1951,5303,3888,6430,5354,2933,6729,5245,2987,5677,4829,3042,3908,6443,5780,5736,3419,6498,3969,5462,3028,5436,4923,7203,3315,2974,5361,2812,6355,5030,5898,3734,6545,7426,6329,5683,2989,2019,4978,7194,3526,5033,6540,3390,6488,5059,5465,3747,4843,3690,6730,6789,5572,1789,5517,7681,4601,3970,6737,3853,1980,6679,5523,4951,5020,3448,6384,3500,5327,3015,4830,1911,4925,3737,7248,3808,6350,5794,2009,5678,3639,6239,5905,2934,6471,5552,2021,2879,6708,3912,6944,5477,5307,3697,6546,3310,5356,2995,5784,5061,3431,3529,6500,5744,2555,6451,5707,3471,6445,3859,6561,5900,2937,5034,7205,3663,4980,3032,3750,6357,4602,5825,3506,7193,3749,6712,2799,5246,2010,5362,7190,4845,6976,3421,5685,2990,5518,5041,5062,3317,6732,7304,5466,5576,1967,4851,3530,7428,3738,6330,5478,4955,5525,3692,6790,5423,3044,6548,5689,1915,5036,7432,6371,3435,7040,2022,5364,3199,4926,6738,3263,6562,5715,3019,1790,5007,3854,6446,3479,6793,5309,6915,5686,3508,6504,3698,6683,5796,2938,4967,3643,3537,2557,3753,6255,4735,5481,3318,7206,3779,6475,5826,2997,1535,5709,7682,4984,3021,3422,6358,5335,5906,4575,3671,6453,3740,5767,5468,7264,5042,7235,3862,5539,3048,5526,4846,5584,3532,6332,5800,2940,6593,5921,2012,5065,7209,3321,6361,6552,4604,5482,3754,4957,6753,3645,6740,5710,2025,5529,3483,6695,3875,6794,1975,6373,5690,4853,6303,3861,6564,5908,2998,5066,3781,6454,3437,7312,3512,6685,2026,3700,7196,3761,6917,5717,2911,6754,5692,3446,5015,2807,6801,3495,6477,5339,5431,7237,3538,6263,3865,5828,5718,7210,4971,3322,3443,5721,3056,5771,4958,5541,3553,6744,3646,5912,6483,5922,1917,4854,7684,3485,6362,5731,2558,5044,5722,3675,6512,3438,6796,5530,1999,5351,7217,6374,6535,1918,5808,3027,5773,5073,6457,3540,6594,5368,3001,5019,3727,6686,3972,7242,6478,5489,5068,3877,7440,3687,6377,5310,2811,6699,5484,3756,6918,3022,6319,3782,6267,5774,2033,7328,3501,4857,6802,3866,5779,3324,4973,3445,6756,3677,6485,5455,5600,1979,3920,6921,3762,5435,6364,5341,5048,3785,3704,6458,5490,3002,4591,5733,3554,7688,3878,6568,5542,2028,5545,7456,6539,5571,2927,5734,3029,5663,4799,6817,3499,6727,5355,5532,3976,6499,7696,5463,3030,5492,5031,7360,3486,6431,5895,2975,6327,5074,5437,3295,6378,7712,6269,6701,2034,4979,7238,3735,4858,6804,3764,6760,5342,3907,4599,3691,6486,3544,6460,5546,1981,7212,5021,3527,6385,3868,5573,6922,5357,4974,3881,6707,3786,5679,3043,4831,2007,3793,7299,3909,6489,5953,1982,5924,3788,6596,5832,2813,6541,5954,5781,3004,3936,6547,5928,5899,7249,6351,3882,5737,2935,5724,5089,7218,3678,6818,5553,3033,6702,5840,3984,6929,7241,6576,5936,3045,4981,7183,3794,5035,6501,3768,6331,5090,5956,3449,7488,3507,6380,6808,5467,2011,6017,7301,5076,6768,3889,6731,5363,5022,4860,3391,6924,3693,7220,5782,2036,5037,3884,7191,3556,6849,5574,5438,3502,6270,5795,3034,6386,5738,2023,7302,6709,3910,6542,6018,5901,3739,6490,3560,6600,5496,2991,5548,5063,3311,3450,6502,5785,6549,5856,3531,6447,3694,6713,5687,2939,4982,7552,3699,3046,3509,6388,4927,5960,3452,7244,7305,6739,5745,2814,2040,5358,7250,5043,6333,3890,6710,5479,5577,4603,3533,6820,7224,5519,5907,7195,4985,3568,7265,3741,6505,5711,5080,5798,3751,6850,5554,2559,6733,5797,1791,4847,7207,3796,6359,6930,5469,3913,5038,6791,3701,6492,5365,2013,3423,6563,3539,6550,5578,6608,5786,6824,3510,6945,5740,3036,5092,3809,3323,7427,3534,6506,5483,3514,7252,3513,6734,5247,3049,6553,5311,7306,5067,2999,3541,6714,5902,5527,7313,3319,6932,3755,5556,5746,7429,4986,7197,3914,5691,3050,5585,4605,5801,3810,6741,7211,5366,6716,5827,2027,5045,7266,3971,6363,6455,5069,5470,3742,6852,3855,6742,5719,2014,5788,7683,6745,3921,6795,2029,6565,5910,5096,6936,3892,6946,5580,2941,4988,3800,6755,4000,7256,6746,5369,3863,7308,3439,6554,5802,3023,6375,5693,3973,2942,6832,3702,6797,5531,5923,7198,3757,6392,3916,5909,7314,5046,3705,3783,6513,5829,5485,5560,3325,6334,3763,5748,6508,5809,4959,7239,3896,6798,5494,3057,4855,5543,3974,7430,3758,6803,5586,1983,5913,7433,6479,6624,5370,3003,5491,5104,6459,3812,6365,5601,5694,3922,6514,3447,7329,6757,5533,4606,7744,3516,6566,5723,3052,6569,5486,3542,6595,7213,6758,3555,6687,2035,7268,3487,5075,6379,3557,6556,5588,3977,5049,3867,6487,3545,6516,5775,6020,7808,3706,6919,3816,5925,6461,5735,4859,3924,4032,5804,3058,5070,5830,3937,7219,3765,6366,5549,2037,5914,7316,6570,5372,3005,5493,5725,6597,3869,6381,5968,5810,7214,6703,7243,5833,3031,5752,5050,7434,3978,6977,5602,3006,6948,5926,3787,6856,7441,6978,6805,4975,7685,3879,5077,6952,3546,6923,5547,3708,7272,3766,6761,3326,6748,6024,1919,7330,5078,6577,3789,6864,5534,5023,3647,6960,3985,7221,5343,2030,3870,7361,3883,6980,5783,5812,3451,6491,5955,3035,7041,5739,5592,7320,3769,6387,5575,5916,7245,6806,3503,5929,3060,5834,5091,7332,3679,6598,5841,6462,5957,3561,6819,7936,6762,5836,3047,4861,7436,3938,7042,3795,6925,5052,5984,3558,7442,7686,6520,6572,2038,5930,7222,4983,6809,3980,6880,5726,5081,3790,6711,3885,7251,6032,7225,5093,3548,7689,3928,6984,5842,5816,3911,6769,5497,3064,6382,5555,2041,7280,3797,6503,6601,5937,3770,6543,3986,6931,5439,5741,3824,3940,6735,5932,6822,5604,6578,3891,6821,5550,2815,5082,7303,3886,7246,3511,6493,5958,4001,7457,7362,6389,5787,3037,5608,7253,5039,6602,3562,6810,5359,5498,7444,3695,6764,7690,5579,5742,7226,4987,7336,3743,6507,5747,5094,5557,3811,6271,7307,5500,6335,2042,4862,7267,3988,6926,6551,5938,3535,6580,3915,6770,5581,2015,7254,6715,3453,6609,5616,6825,5789,6390,3569,6851,5799,3051,4607,4002,3893,7228,6494,5844,3798,7448,4033,6743,5961,3038,6812,5749,7257,3053,3944,6934,5471,5587,7458,7697,6604,3564,5558,7692,5084,7364,3703,6393,5857,5371,5582,3801,6826,7309,5562,6717,5561,5097,7269,3772,6555,6947,5047,5589,3515,7315,3813,6933,5367,2044,5803,7344,6853,6509,6584,5962,5098,6772,3917,6833,5858,3992,6518,3454,7310,6567,6019,7698,3894,6610,5790,3007,6937,5903,3923,7489,6394,3802,6515,5969,7199,3570,6625,3952,6718,5940,7368,4989,3814,3517,6557,5848,6048,7258,3543,6747,3707,5911,6510,5487,5071,7713,4004,6021,3059,4990,5750,3759,7460,7490,6612,5805,2031,5964,7700,6799,7044,5753,5831,6949,3975,6759,5373,5811,7431,6828,3897,7317,6854,5944,51
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シーケンスグループ4: Z4_8192
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シーケンスグループ5: Q5_2048
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シーケンスグループ5: Z5_2048
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シーケンスグループ5: Q5_4096
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シーケンスグループ5: Z5_4096
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シーケンスグループ5: Q5_8192
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2876,1976,4893,2801,6294,3658,6297,5321,2902,1015,3285,6309,3374,5700,2905,5667,5002,3416,3257,2552,5348,2847,6250,4811,5237,3403,6199,2303,6472,3012,5426,1751,4903,7232,3290,4570,2957,3721,4732,5275,3607,4790,4350,3357,6680,2767,5646,1993,5
761,1503,4813,6721,3191,1962,5167,2525,5411,4671,5009,3665,6692,5536,2963,4894,1781,4907,3496,7178,6257,1885,4475,1908,5304,3428,6298,5449,2686,6223,5287,2796,2016,4793,2992,6413,3776,6252,1854,5660,4527,3379,6722,3275,5238,2917,1532,4703,3640,6368,3476,2539,5324,2747,6310,4585,1972,3301,6663,3399,6696,5420,2802,1774,4962,3231,3613,4819,2906,3666,6339,4582,5669,3465,1019,3524,6414,2526,5277,1895,5330,7185,5004,3016,3308,1987,5889,2431,5657,4814,4909,3260,6785,5460,2958,4572,1969,4952,7180,3849,5213,2863,5507,4935,1782,5425,3627,6667,5391,3024,6419,5242,1279,4821,2918,6724,6435,1943,4794,5568,3732,5010,6203,3681,5345,2965,1899,4848,4964,3385,6313,3289,6704,1994,6258,1663,4915,3654,6421,3872,6300,5445,2775,4910,3198,3490,4535,2541,3405,6231,5025,1964,3299,7296,3724,6341,2921,5293,1785,5674,3432,4586,2749,6260,3614,5235,2979,5776,4719,1021,3371,6314,3846,5728,5432,1935,4767,3413,3521,5294,2804,5458,4835,5699,3382,2908,5653,2547,6205,5509,1886,5012,7186,6675,5399,2779,2001,4559,5332,3696,4939,6669,3286,6786,5231,2871,1407,4477,3623,6425,6422,1779,5768,2970,5450,4593,3247,6670,3722,6321,5682,2922,5026,4917,3480,6437,3469,2966,6532,4822,1990,5057,3684,7201,3302,6235,5299,2550,1970,5278,3843,4968,2981,6728,3414,6913,5514,1879,1022,4588,3386,6342,3730,5346,5428,3635,4727,3259,3536,5670,2791,5319,4825,1902,3406,6316,5241,2808,6264,5701,1947,4796,3292,3629,6345,5892,2929,4539,5403,3195,4837,2542,3427,6480,5474,1759,5658,3320,6206,2750,1907,5452,2969,5301,4941,6426,3672,2549,5415,2924,5016,4478,3463,6287,7173,5681,2895,1527,4918,3904,7188,3492,6247,5521,3040,6322,4947,5325,3745,4826,2495,6438,6237,5705,1996,4594,7202,4976,3655,6788,3484,1786,5352,3417,4838,4541,3305,6346,3752,5488,2781,1959,4567,2002,4731,3845,6736,3717,5244,6467,5792,1913,5028,3388,3279,6536,5676,2875,4783,1949,3638,2982,3682,6441,5306,2017,5516,3522,6914,5708,2930,1534,5421,2985,5896,4999,3011,3467,6251,5230,2795,4921,3313,6324,3167,5331,2553,5457,4596,7424,3429,2903,5673,2972,6295,4942,5766,3858,6353,2782,6428,2877,5291,1788,4841,7171,3611,4922,6792,3261,4828,5360,3659,4542,5058,3411,6238,6348,5522,1910,5716,1965,5032,3478,6442,3306,2004,6544,5473,4571,4949,3736,3434,6752,5406,3013,4963,1901,4733,3662,7233,3778,6496,1966,1775,5647,3287,6469,5326,2986,6677,5510,2932,2008,5003,2554,6299,3375,6354,5302,5763,3637,6449,3852,5684,2797,5429,4583,3418,3688,2993,5904,3014,6691,4791,5537,3504,6444,3729,6253,5183,2803,1531,4842,7192,3314,4924,2907,3475,6328,4849,5706,3641,4950,3436,6678,2988,5333,1971,5422,7204,4953,6681,3262,1950,5464,2878,5305,4600,4895,3857,6259,5451,2959,4351,1909,5060,3669,7234,3630,6311,5338,5005,1991,5769,3880,6369,5655,2919,6470,5405,2018,4815,2687,6450,3528,6916,1727,5239,3746,4573,6301,3383,5713,2936,1916,5011,3420,6800,3293,6473,5544,2527,6254,1855,3470,6261,3316,6356,5476,2994,4734,3780,3725,4844,2798,3850,6315,5040,5824,3674,7182,3441,6920,3017,5427,1974,5323,7208,4965,2556,3661,5688,2909,5524,4587,4795,3494,6474,3905,5349,5447,1995,4850,7297,3387,5279,2805,5661,4954,5714,3430,6370,5513,3018,6693,5572,2020,4574,7187,6682,6531,1977,5064,5356,3748,4479,6452,3291,6360,5308,2967,1787,5006,3642,6560,3481,6415,1914,6423,5897,4911,3874,6302,3552,6481,5675,2923,5072,3683,6694,3307,2910,3968,6816,4966,2005,3723,7236,3493,6262,5780,2806,1887,5729,3197,5013,2996,6476,3407,6723,5433,5337,1023,3864,6684,3644,5702,5920,7216,4823,3719,3760,5246,3025,5538,4589,5453,3433,6533,5347,2971,6317,5772,1963,4969,7181,3670,6265,5480,3020,4797,5662,3482,5027,6697,3359,6343,5419,1998,5894,3777,6928,6323,1783,5461,2809,5569,4852,6372,3444,6482,5430,2925,4956,4595,3255,6456,3523,7680,6848,2024,4827,3497,7298,3860,6534,5744,3000,6318,5334,3734,4919,2543,6698,3310,6725,5671,1980,7190,5018,3692,6537,3667,5295,5770,3389,4970,3477,6427,3873,5528,2751,5517,5014,1903,3419,6266,3686,5732,6592,5350,1973,4598,3615,3784,6497,5891,2983,5029,5462,3733,3026,3673,6705,5434,2003,5778,7240,6347,5683,2931,1789,5307,2810,5584,4839,6207,3294,6484,5454,2551,4856,3506,6538,7193,5340,2973,5677,4977,3442,7425,3317,6671,5243,2926,6726,4590,5475,3526,6700,2783,6325,6439,5368,1997,4798,7203,3847,5017,6429,3726,5720,3908,4597,4972,3491,6376,3685,6268,5511,2032,1978,4943,3529,6349,3421,5952,6326,5540,5088,3747,3303,6787,5793,3041,4543,1917,3639,7300,3876,6706,5703,2010,5532,3500,6430,5465,2933,6729,5353,2987,5800,4829,3042,3448,6443,5893,5765,3792,6498,3704,5436,3028,5327,4923,7189,3737,2974,5686,2812,6355,5030,5730,3318,6545,7248,6329,5570,2989,1519,4978,7205,3676,5033,6540,3415,6488,5059,5515,3853,4843,3505,6730,6789,5361,2019,5215,7426,4601,3969,6737,3631,2006,6679,5477,4951,5020,3435,6384,3690,5906,3015,4830,1951,4925,3315,7194,3532,6350,5659,1911,5309,3498,6239,5707,2934,6471,5459,2021,2879,6708,3731,6944,5526,5354,3390,6546,3859,5784,2995,5482,5061,3753,3479,6500,5710,2555,6451,5826,3309,6445,3888,6561,5335,2937,5034,7304,3698,4980,3032,3808,6357,4602,5423,3538,7210,3663,6712,2799,5685,2009,5900,7264,4845,6976,3750,5466,2990,5736,5041,5062,3906,6732,7179,5552,5777,1790,4851,3471,7681,3508,6330,5362,4955,5523,3431,6790,5689,3044,6548,5484,2026,5036,7235,6371,3740,7040,1975,5310,3689,4926,6738,3862,6562,5905,3019,2012,5007,3525,6446,3321,6793,5717,6915,5678,3560,6504,3781,6683,5928,2938,4967,3646,3422,2557,3854,6255,4735,5576,3970,7196,3697,6475,5794,2997,1967,5431,7312,4984,3021,3445,6358,5468,5341,4575,3537,6453,3756,5518,5364,7206,5042,7428,3675,5828,3048,5773,4846,5898,3738,6332,5722,2940,6593,5489,1915,5065,7217,3322,6361,6552,4604,5709,3486,4957,6753,3865,6740,5542,2025,5953,3438,6695,3512,6794,2022,6373,5435,4853,6303,3916,6564,5478,2998,5066,3199,6454,3779,7237,3554,6685,1981,3875,7432,3645,6917,5796,2911,6754,5339,3499,5015,2807,6801,3912,6477,5690,5529,7209,3762,6263,3749,5922,5600,7242,4971,3443,3851,5731,3056,5355,4958,6016,3671,6744,3530,5771,6483,5541,1918,4854,7328,3324,6362,5245,2558,5044,5455,3483,6512,3700,6796,5912,2033,5692,7175,6374,6535,1999,5767,3027,5808,5073,6457,3540,6594,5481,3001,5019,3976,6686,3877,7682,6478,5718,5068,3437,7220,3786,6377,5530,2811,6699,5407,3920,6918,3022,6319,3501,6267,5825,2028,7299,3691,4857,6802,3761,5492,3866,4973,3263,6756,3450,6485,5303,5571,1533,3677,6921,3568,5545,6364,5908,5048,3878,3739,6458,5782,3002,4591,5358,3507,7249,3782,6568,5740,2011,5715,7212,6539,5437,2927,5525,3029,5921,4799,6817,3553,6727,5467,5734,3754,6499,7440,5663,3030,5832,5031,7238,3972,6431,5781,2975,6327,5074,5721,3881,6378,7195,6269,6701,1982,4979,7360,3687,4858,6804,3495,6760,5342,3794,4599,3391,6486,3727,6460,5554,2034,7301,5021,3868,6385,3809,5490,6922,5365,4974,3527,6707,3323,5574,3043,4831,1979,3788,7218,3449,6489,5895,2023,5774,3936,6596,5956,2813,6541,5539,5733,3004,3544,6547,5577,5469,7256,6351,3909,5795,2935,5351,5089,7684,3485,6818,5687,3033,6702,5924,3768,6929,7244,6576,5548,3045,4981,7183,3678,5035,6501,3861,6331,5090,5496,3510,7306,3446,6380,6808,5840,2013,5752,7456,5076,6768,3693,6731,5785,5022,4860,3896,6924,3735,7224,5366,2036,5037,3295,7266,3764,6849,5724,5463,3984,6270,5901,3034,6386,5553,2007,7207,6709,3531,6542,6017,5679,3699,6490,3793,6600,5483,2991,5738,5063,3907,3556,6502,5363,6549,5580,3882,6447,3502,6713,5546,2939,4982,7688,3889,3046,3643,6388,4927,5779,3326,7302,7241,6739,5438,2814,2030,5907,7427,5043,6333,3513,6710,5801,5527,4603,3757,6820,7313,5357,5936,7198,4985,3812,7252,3694,6505,5746,5080,5856,3785,6850,5586,2559,6733,5711,2014,4847,7488,3533,6359,6930,5798,3452,5038,6791,3741,6492,5954,2040,3914,6563,4000,6550,5519,6608,5556,6824,3539,6945,5479,3036,5092,3705,3800,7213,3855,6506,5788,3447,7308,3892,6734,5737,3049,6553,5910,7430,5067,2999,3702,6714,5573,5369,7265,3974,6932,3755,5608,5829,7696,4986,7250,3439,5694,3050,5470,4605,5902,3516,6741,7219,6018,6716,5745,1535,5045,7330,3884,6363,6455,5069,5493,3542,6852,3921,6742,5585,2027,5804,7433,6745,3319,6795,2029,6565,5723,5096,6936,3742,6946,5786,2941,4988,3971,6755,3509,7191,6746,5370,3796,7316,3763,6554,5534,3023,6375,5913,3910,2942,6832,3863,6797,5486,5560,7272,3545,6392,3701,5964,7214,5046,3558,3810,6513,5247,5827,5602,3890,6334,3423,5923,6508,5693,4959,7712,3751,6798,5547,3057,4855,5960,3514,7239,3922,6803,5810,2035,5797,7305,6479,6624,5491,3003,5899,5104,6459,3787,6365,5719,5578,3534,6514,3978,7429,6757,5372,4606,7552,3937,6566,5531,3052,6569,5748,3706,6595,7221,6758,3869,6687,2037,7442,3766,5075,6379,3977,6556,5588,3647,5049,3555,6487,3824,6516,6024,5925,7329,3453,6919,3783,5485,6461,5834,4859,3879,3541,5968,3058,5070,5549,4032,7683,3503,6366,5739,1791,5809,7243,6570,5914,3005,5311,5498,6597,3913,6381,5725,5616,7268,6703,7314,5926,3031,5787,5050,7436,3758,6977,5555,3006,6948,5830,3562,6856,7226,6978,6805,4975,7197,3924,5077,6952,3816,6923,5601,3769,7361,3986,6761,3708,6748,5802,2038,7685,5078,6577,3548,6864,6020,5023,3451,6960,3940,7245,5929,2041,3867,7320,3789,6980,5735,5543,3564,6491,5842,3035,7041,5439,5775,7280,3980,6387,5916,5857,7441,6806,3511,5575,3060,5371,5091,7744,3891,6598,5836,6462,5497,3797,6819,7254,6762,5984,3047,4861,7225,3886,7042,3325,6925,5052,5592,3695,7458,7364,6520,6572,1919,5957,7690,4983,6809,3973,6880,5533,5081,3546,6711,3790,7251,5816,7336,5093,3561,7222,3928,6984,5726,5909,3765,6769,5558,3064,6382,5494,2042,7303,4001,6503,6601,5741,3885,6543,3915,6931,5944,5783,3679,3517,6735,5343,6822,5812,6578,3795,6821,6032,2815,5082,7434,3952,7686,3772,6493,5579,3572,7444,7246,6389,5747,3037,5841,7332,5039,6602,3454,6810,5955,5604,7257,3802,6764,7697,5930,5550,7307,4987,7457,3870,6507,5937,5094,5691,3883,6271,7211,5374,6335,2039,4862,7269,3547,6926,6551,5561,3992,6580,3911,6770,5805,2044,7362,6715,3938,6609,5860,6825,5742,6390,3515,6851,5833,3051,4607,3570,3811,7490,6494,5581,3743,7228,3898,6743,5500,3038,6812,5789,7692,3053,3985,6934,5962,6048,7309,7464,6604,3770,5587,7267,5084,7344,3893,6393,5753,5848,5903,3543,6826,7808,5495,6717,5940,5097,7315,3703,6555,6947,5047,5750,3813,7260,4004,6933,6022,2043,5803,7448,6853,6509,6584,5487,5098,6772,3535,6833,5564,3798,6518,3917,7368,6567,5932,7700,3569,6610,5590,3007,6937,5969,3944,7274,6394,3311,6515,5367,7318,3988,6625,3818,6718,5790,7492,4989,3925,3557,6557,6019,5557,7253,3759,6747,3804,5844,6510,5811,5071,7689,3894,5958,3059,4990,5911,4008,7431,7199,6612,5593,2031,5749,7714,6799,7044,5606,5858,6949,3832,6759,5938,5471,7310,6828,3918,7553,6854,5799,51
05,7331,3710,6573,5562,3061,6938,5970,4033,6396,7258,6517,6749,7376,3801,5051,6992,3975,6834,5835,3576,3897,6857,3930,6776,5582,6026,7460,6626,3814,6950,5985,5100,3559,4002,7276,5754,5917,3767,7227,3825,6571,5814,6025,7321,7048,5695,2943,5603,5872,7713,3487,6558,5501,5831,7435,6367,7270,5927,3054,5589,5106,7698,3926,6807,6080,6836,5551,3939,6979,7472,6763,6616,5053,7281,3987,6599,3709,6940,5961,3550,7333,7745,6953,4034,6858,1983,7392,5079,6865,3900,6981,5806,5054,3982,6860,3771,7230,5610,7446,3820,7496,3563,7008,5972,5864,3945,5817,3062,6954,6034,5756,7317,3518,6750,5596,7338,7056,3791,5499,5988,7247,3979,6866,5915,6840,5837,6521,7568,6579,5612,3065,5083,7437,4016,7704,3929,6961,6028,3942,7273,7936,6463,6765,5559,7324,5108,6956,3817,6628,5939,7489,3565,6574,3826,7716,5845,7282,5095,7443,3989,6982,5934,5373,3871,6811,7363,5743,6632,2046,7255,3707,6383,6522,6021,4040,6603,3923,6766,5594,5838,7554,3803,6771,5609,6581,5976,6524,3549,5813,3066,5112,7345,3948,7752,6962,6049,3773,7322,7438,6605,5933,3039,5963,7687,6640,3981,6813,5727,5565,7334,7461,6823,7284,5843,7223,4863,7365,3887,6868,6000,5820,3573,6985,7449,5620,6773,5085,7728,4003,6495,6611,5502,4036,7504,3932,6582,5850,2047,7259,6881,6395,6606,5918,6586,3774,6585,5931,3996,3828,7810,6613,5595,7693,3566,6391,6040,3068,6827,5959,7340,7370,3815,6986,5986,7556,7271,6882,3953,5563,7288,5099,7452,3899,7043,5618,5859,7746,3941,6814,7462,5791,6927,5946,5086,7229,3993,6993,5101,6033,3805,7699,7337,6964,2015,5818,7720,6872,7072,5941,6935,3578,6511,5591,7520,7045,4006,7377,6774,5751,7465,3519,6829,5861,3055,6988,6052,4048,7348,6777,6855,7262,3895,6397,3946,6835,5583,7445,3571,3990,6968,5846,5965,7319,7046,4009,6830,5617,5055,7812,3919,7366,5992,5359,3819,7560,7277,6884,6036,5866,7491,6994,6519,5973,5605,7702,3577,6588,5807,5852,7450,6614,7311,6627,5942,5107,7691,3960,6559,6056,6629,3806,7049,7346,6939,6617,7384,4037,6778,3994,6888,5880,3574,7760,6996,3954,7104,5966,7466,7009,3931,6837,5758,5109,3821,4005,7275,6081,7938,3901,7494,4024,6941,5849,6023,7369,5624,3063,5945,5978,7748,7715,7050,5862,7396,6859,7285,5607,6050,7474,3799,6951,5815,6618,5873,6780,7323,6838,6398,4991,7694,4041,7809,3551,6861,5535,4010,7215,7459,6719,7057,7584,5102,6942,3829,6955,5974,3933,6523,3956,7352,5987,7497,7335,4064,6841,6035,5757,3902,7708,5598,6575,6082,7286,3580,6751,5948,7372,6633,4020,6030,5819,7468,3822,7010,5868,6867,5611,6630,7717,5993,3067,5110,7325,3943,7378,7052,5566,4035,7937,7705,6862,6957,5839,7508,6620,4017,7000,6027,7261,7555,6983,3830,7473,7439,5113,7290,3327,6869,6064,5977,3991,6842,7616,5990,7058,7393,3947,6896,7012,5865,4042,3711,6963,5613,5874,7493,6958,6583,6037,7073,4012,5919,7341,3833,7722,6634,5755,7283,7824,6767,6088,3069,5971,7776,7480,3983,6815,5851,7342,7506,6883,7747,5597,7701,5114,7557,3934,7060,5996,7447,4049,6607,7380,5821,6987,5087,7279,3455,6525,6029,3827,7816,7498,6641,2045,7730,7074,6965,5935,6870,4038,7105,5621,7347,4018,7326,7016,6051,7562,3927,6084,3070,6636,5980,7394,7476,6775,7718,7367,6873,3950,5822,7289,7749,3995,6844,6044,5876,7940,6587,7451,6885,5614,5116,7522,3807,7706,5863,3955,7500,7349,6989,6001,7463,7064,6526,5947,7729,3575,6966,5989,7569,6995,7373,6874,6041,7753,4044,6642,5853,7024,3834,7400,6886,6589,7536,4007,6615,4050,6779,5626,7292,7840,3961,7076,6054,7724,6831,3997,5567,5103,7354,4065,7564,6096,7756,3582,7469,7944,7047,5943,5994,7278,6969,5619,6038,7379,7505,6644,6057,7721,6990,7814,5967,7339,3836,6889,5867,6970,6876,7408,6590,7106,7570,3958,7764,4013,7080,5625,4052,7521,6619,6997,7454,7011,3949,6781,6008,4014,3823,7695,5854,7374,7558,4056,7051,6085,6042,7350,7811,5622,6002,7732,7477,6631,5979,7952,6839,7585,5869,6053,7231,3579,6890,5949,6972,6072,6897,7754,6998,5111,7381,4019,7470,7001,3998,7512,7353,6648,6943,7499,6399,3957,7108,5847,7386,7053,4039,7817,7703,7453,4066,6863,6089,5599,3775,7287,6058,6621,7761,3964,7059,5877,7592,3903,5981,6004,7524,6782,6892,6112,7088,7872,5950,7475,4022,7371,7013,5628,7736,7572,6635,6843,6068,7397,7495,4043,6898,5870,7327,7709,7002,7762,7561,5115,7620,4068,6622,5991,4025,7112,7404,6083,6527,7356,3835,7054,6065,3962,7945,6959,5878,7723,7120,5375,7014,4053,6039,7828,3935,7777,7061,5995,7481,7385,6090,3071,5759,7750,7968,6871,7294,7586,6637,7501,6060,7395,7820,4011,7017,5881,7528,6845,7710,7075,5117,7467,4046,7942,6031,3831,7509,7617,6900,7478,7004,6643,5982,4072,6875,6097,7792,7382,6967,5503,7719,4028,5875,7066,7343,7818,7018,7576,7565,7062,3951,6086,7780,7398,4021,6646,6066,7939,7077,7510,5975,5118,7482,4051,7826,7731,3837,7355,7632,6887,5998,7502,6904,6043,7388,7725,7025,7291,6638,7523,5855,7416,4045,6846,6003,7065,7768,6645,7020,7559,4080,4026,6991,5623,8000,7588,7136,7841,6591,3965,6092,7751,4058,7580,5882,7513,7401,7848,6877,6055,6098,7941,7813,6009,7484,7375,6971,6045,7734,7078,7778,6113,7618,3567,7026,5630,7081,7107,7563,6891,7409,4067,7263,6649,4054,7525,6999,7068,7954,6878,3999,6973,5884,7707,3959,7357,7755,7507,4069,6006,6061,7574,7402,6100,7832,7530,7109,5997,7758,7874,6062,5871,7383,7082,70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シーケンスグループ5: Z5_8192
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シーケンスグループ5: Q5_16384
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25,5411,9479,4671,9247,5009,3665,8660,6692,5536,2963,9762,4894,1781,4907,8847,3496,7178,9092,12362,10880,6257,1885,4475,1908,5304,8997,12560,3428,8807,11265,6298,5449,2686,6223,9358,5287,2796,2016,8876,9601,4793,2992,6413,3776,6252,8902,10291,1854,5660,9379,12448,8621,4527,3379,6722,3275,8986,10388,5238,2917,1532,8444,9306,4703,3640,6368,8565,3476,8797,2539,5324,2747,6310,9424,4585,1972,3301,6663,9040,3399,8882,10286,6696,5420,2802,13314,10315,1774,4962,3231,8905,3613,8824,4819,2906,3666,6339,10506,9508,4582,5669,3465,8674,12808,1019,3524,6414,8998,2526,5277,10513,1895,5330,7185,12576,9324,5004,3016,3308,10757,1987,5889,2431,5657,9275,4814,4909,3260,6785,8619,10344,5460,2958,9369,4572,1969,4952,9096,7180,12816,3849,10402,5213,2863,5507,9761,4935,1782,5425,12480,3627,8606,6667,5391,3024,6419,9483,5242,10293,1279,4821,8415,9318,12832,2918,6724,6435,10433,1943,4794,5568,9746,12358,3732,8855,5010,11272,6203,3681,8884,5345,2965,1899,9027,4848,9520,4964,3385,6313,8811,3289,6704,8664,10392,1994,6258,9329,12332,1663,4915,3654,6421,8647,3872,8988,10317,6300,5445,2775,9381,9793,4910,3198,9001,3490,8906,4535,2541,3405,6231,10404,9440,5025,1964,3299,7296,8913,12419,9029,3724,6341,2921,5293,11008,1785,5674,3432,8908,9278,4586,2749,6260,3614,10508,9494,5235,2979,5776,9544,4719,1021,3371,6314,9056,3846,10514,5728,10758,5432,12369,1935,4767,3413,9002,3521,10294,5294,2804,5458,9365,4835,5699,12338,3382,8798,2908,5653,2547,6205,9386,5509,10323,1886,5012,9104,7186,12361,10297,6675,5399,2779,10761,2001,4559,5332,9295,12303,3696,8914,4939,6669,3286,6786,8888,5231,2871,1407,8569,12608,9616,4477,3623,6425,8627,6422,10352,1779,5768,2970,5450,9485,12421,9752,4593,3247,6670,3722,9009,6321,5682,2922,9321,5026,9984,4917,3480,6437,8511,3469,8813,12340,2966,6532,9372,4822,1990,5057,3684,7201,9004,12311,3302,8676,11264,6235,5299,2550,9537,1970,5278,3843,8622,9764,4968,2981,6728,3414,6913,10375,9330,5514,10318,1879,9491,12422,1022,4588,3386,6342,9030,3730,10529,5346,10434,5428,3635,8859,9411,4727,3259,8680,3536,10325,5670,2791,5319,9303,4825,1902,8431,3406,6316,8570,10516,5241,2808,6264,5701,10762,1947,4796,8651,3292,8814,3629,10298,6345,5892,2929,10408,9602,4539,5403,12672,3195,8819,4837,2542,3427,6480,8629,5474,10379,1759,5658,8572,12364,12425,3320,6206,2750,10339,1907,5452,2969,5301,9393,12370,9800,4941,6426,3672,9010,2549,5415,2924,9370,5016,9486,4478,3463,6287,8653,7173,12344,10326,5681,2895,9735,12315,1527,4918,3904,7188,8688,12385,3492,8861,6247,5521,3040,6322,9382,4947,9509,5325,3745,8871,9332,4826,2495,6438,6237,9271,5705,10300,1996,4594,7202,9413,12327,8916,4976,3655,6788,3484,10520,1786,5352,3417,9033,4838,9497,4541,3305,6346,8821,3752,10329,5488,2781,1959,9776,4567,2002,4731,8543,3845,6736,8659,3717,10530,5244,10769,6467,5792,9552,1913,5028,3388,8630,3279,10764,6536,5676,2875,10436,9307,4783,1949,8929,3638,8443,12547,2982,3682,6441,8654,5306,10381,2017,5516,8634,12372,3522,8633,11280,6914,5708,2930,10341,1534,5421,2985,5896,12426,9858,4999,3011,3467,6251,8661,10387,5230,2795,9741,12433,4921,3313,6324,8439,3167,8875,10416,5331,2553,5457,9388,12549,9418,4596,7424,12317,3429,9034,2903,5673,2972,6295,9604,4942,9319,5766,3858,6353,8930,12331,2782,6428,2877,9336,5291,10382,1788,4841,7171,9500,12386,3611,9091,4922,6792,3261,10770,9794,4828,5360,3659,8862,4542,9510,5058,3411,6238,8975,6348,5522,10561,1910,5716,9277,12803,1965,5032,3478,6442,9041,3306,10271,2004,6544,5473,9747,4571,9385,4949,3736,9012,3434,10440,6752,5406,3013,9768,4963,1901,4733,8920,3662,7233,9120,12376,10330,3778,6496,1966,1775,5647,8983,12428,3287,8559,11296,6469,5326,2986,6677,10785,9568,5510,2932,2008,9093,9425,5003,2554,6299,3375,6354,8822,10532,5302,10562,5763,9513,12318,8877,3637,6449,3852,9036,10772,5684,2797,5429,12434,9396,4583,3418,8825,3688,8903,2993,5904,3014,6691,9310,4791,5537,3504,6444,8445,3729,8883,10503,6253,5183,2803,9493,13316,10389,1531,4842,7192,12359,3314,9016,4924,2907,3475,6328,10342,9367,4849,5706,3641,9094,12550,4950,3436,6678,8878,2988,5333,10345,1971,5422,7204,9860,12553,9414,4953,6681,3262,10544,1950,5464,2878,5305,9608,4600,9325,4895,3857,6259,8932,14336,5451,2959,9539,4351,1909,5060,9042,3669,7234,8567,12449,3630,10536,6311,5338,9750,5005,1991,5769,12864,3880,8636,11270,6369,5655,2919,6470,9498,5405,10403,2018,4815,8662,9359,12333,2687,6450,3528,6916,8675,10332,1727,5239,9739,12388,3746,8607,4573,11273,6301,3383,8677,10287,5713,2936,1916,9097,9394,5011,3420,6800,8987,3293,6473,8665,10507,5544,2527,6254,9432,12928,1855,3470,6261,8826,3316,8936,10625,6356,5476,2994,13313,10786,9808,4734,3780,9044,3725,9152,4844,2798,3850,6315,10564,9514,5040,5824,3674,7182,9057,12339,8885,3441,6920,3017,5427,10448,1974,5323,7208,12436,9323,4965,2556,3661,10626,9986,5688,2909,5524,9542,4587,4795,3494,6474,8989,3905,10390,5349,10393,5447,9417,12334,1995,4850,7297,12363,3387,10405,5279,2805,5661,9796,4954,9763,5714,12554,3430,9098,6370,5513,3018,6693,9444,5572,10346,2020,4574,8907,7187,9333,12561,10295,6682,6531,10568,1977,5064,5356,9522,12805,3748,8999,4479,11328,6452,3291,6360,8666,5308,2967,1787,8828,12392,9371,5006,3642,6560,8886,3481,6415,8446,10776,1914,6423,5897,9742,12450,9857,4911,3874,6302,3552,8909,10817,6481,5675,2923,9263,9507,5072,3683,6694,8767,3307,9105,12341,2910,3968,6816,10
788,9632,4966,2005,3723,7236,8990,12481,3493,9003,11274,6262,5780,2806,13320,10353,1887,5729,3197,8571,9400,5013,2996,6476,3407,6723,10394,9545,5433,10319,5337,9383,12440,1023,3864,6684,8889,3644,10509,5702,10348,5920,7216,12365,9756,4823,3719,8623,3760,10818,5246,3025,5538,9334,4589,5453,12452,3433,6533,8799,10464,5347,2971,6317,9420,5772,10406,1963,4969,8681,7181,13056,3670,10759,6265,5480,3020,10792,9516,4797,5662,12556,3482,9058,5027,6697,3359,6343,8915,5419,10435,1998,5894,8678,12562,9765,12806,3777,6928,6323,10510,1783,5461,2809,5569,9373,12342,9426,4852,11281,6372,3444,9100,6482,5430,2925,9985,4956,9753,4595,3255,6456,8910,3523,7680,9005,12371,10881,6848,9556,12345,2024,4827,3497,7298,8668,12809,3860,9048,11276,6534,5744,3000,6318,9309,9603,5334,3734,9031,9521,4919,2543,6698,3310,6725,10763,9487,5671,10515,1980,7190,9338,12400,8917,5018,3692,6537,3667,10820,5295,10531,5770,3389,8890,9664,4970,3477,6427,9106,3873,10299,5528,2751,5517,9441,5014,1903,8944,3419,6266,9060,3686,10409,5732,10800,6592,5350,13312,10354,1973,4598,3615,9011,3784,10517,6497,5891,2983,10396,9541,5029,5462,12423,3733,9006,12366,3026,3673,6705,8631,5434,10327,2003,5778,9121,12577,7240,12482,11392,6347,5683,2931,10437,1789,5307,2810,5584,9389,12373,9770,4839,6207,3294,6484,8682,10356,5454,2551,9331,12564,9872,4856,3506,6538,8815,7193,12810,10410,5340,2973,5677,9824,12346,9528,4977,3442,7425,12456,3317,8863,6671,5243,2926,6726,9390,4590,9554,5475,3526,6700,8931,9795,12427,2783,6325,6439,9749,5368,10301,1997,4798,7203,9605,12387,3847,9108,5017,11282,6429,3726,10771,9495,5720,3908,8655,4597,9428,4972,3491,6376,9035,3685,6268,10765,5511,10882,2032,9327,12374,1978,4943,3529,6349,8573,3421,10521,5952,10518,6326,5540,9864,9546,5088,3747,8689,3303,10766,6787,5793,3041,10417,9778,4543,1917,9122,3639,7300,9013,12348,10533,3876,6706,5703,10628,2010,5532,8918,12568,3500,9153,11297,6430,5465,2933,6729,10331,9395,5353,2987,5800,12377,9374,4829,3042,3448,6443,9064,10824,5893,11009,5765,9610,12578,12817,3792,6498,3704,8684,10438,5436,3028,5327,9442,12812,9524,4923,7189,12484,3737,8823,2974,5686,2812,6355,9766,5030,9415,5730,3318,6545,8921,7248,12429,10412,6329,5570,2989,9337,13328,10360,1519,4978,7205,9797,12389,3676,8892,5033,6540,3415,6488,10441,9988,5059,5515,3853,8635,12435,9499,4843,3505,6730,8933,6789,5361,10576,2019,5215,7426,9570,12464,9754,4601,3969,6737,3631,10302,2006,6679,5477,9548,4951,9397,5020,3435,6384,9037,3690,10522,14337,5906,3015,9511,4830,1951,4925,9112,3315,7194,8574,12430,3532,10383,11269,6350,5659,9777,1911,5309,12818,3498,9014,11284,6239,5707,2934,6471,10343,9617,5459,10418,2021,9043,9421,12609,2879,6708,3731,6944,8922,10534,5526,10333,5354,9801,12319,3390,8690,11298,6546,3859,9072,10884,5784,2995,5482,12488,9448,5061,3753,8934,3479,6500,8637,10442,5710,2555,6451,9584,12378,5826,3309,6445,8663,3888,8827,10832,6561,5335,2937,9340,13344,10563,9888,5034,7304,12833,3698,9124,4980,3032,3808,6357,10632,9772,4602,5423,3538,7210,8879,12580,12610,3663,6712,2799,5685,10537,2009,5900,7264,9402,12820,9612,4845,6976,3750,11010,9804,5466,2990,5736,9517,5041,9992,5062,3906,6732,9095,7179,14338,5552,10347,5777,9326,12551,1790,4851,3471,7681,9017,12437,3508,10420,6330,5362,9427,4955,9553,5523,12390,3431,8692,11520,6790,5689,3044,6548,9769,5484,10391,2026,5036,9038,7235,9862,12393,10449,6371,3740,7040,10524,1975,5310,9387,12592,3689,8937,4926,11267,6738,3862,6562,9018,10888,5905,3019,2012,8924,9456,5007,3525,6446,8638,3321,6793,9154,10334,5717,10444,6915,5678,9618,12584,9812,3560,6504,3781,9128,10538,6683,5928,2938,13318,10640,9569,4967,3646,8667,3422,9045,12451,2557,3854,6255,10848,9502,4735,5576,3970,7196,9059,12380,3697,8829,11329,6475,5794,2997,13321,10592,1967,5431,7312,12335,9743,4984,3021,3445,6358,10565,9422,5468,10773,5341,9606,12555,4575,3537,6453,9099,3756,10395,5518,10450,5364,7206,9398,12673,9859,5042,7428,12834,3675,10545,5828,3048,5773,9780,4846,9525,5898,12612,3738,6332,8679,14340,5722,2940,6593,10000,5489,10787,1915,5065,8887,7217,9633,12496,3322,10540,6361,6552,10349,9279,4604,5709,12674,3486,8938,4957,11288,6753,3865,6740,9020,5542,10424,2025,5953,8945,12438,9802,12441,3438,6695,3512,6794,9046,10774,2022,6373,5435,9429,12453,9518,4853,11300,6303,3916,9049,10777,6564,5478,2998,9560,9401,5066,3199,6454,8696,3779,7237,8991,12394,10355,3554,6685,9547,12343,1981,3875,7432,8447,12616,3645,9156,11330,6917,5796,2911,6754,13376,10407,9434,5339,3499,9101,9865,5015,2807,6801,3912,6477,10465,9751,5690,10566,5529,7209,9501,12824,8911,3762,6263,3749,10546,5922,11012,5600,7242,12865,9335,4971,3443,8669,3851,10397,5731,3056,5355,9809,4958,6016,12836,3671,6744,9107,3530,10896,5771,10569,6483,5541,9640,13322,10350,1918,4854,7328,12401,3324,10357,6362,5245,2558,10452,9572,5044,5455,12442,3483,8830,12367,6512,3700,6796,8940,5912,10411,2033,5692,9136,12557,7175,9920,12396,11278,6374,6535,11016,1999,5767,3027,5808,9523,12866,9419,5073,11304,6457,3540,6594,9061,14344,5481,3001,9784,12512,9620,5019,3976,6686,8683,3877,7682,8891,12454,10570,6478,5718,9445,12807,9543,5068,3437,7220,12840,3786,8946,11393,6377,5530,2811,6699,9375,9757,5407,3920,6918,9050,9810,12483,3022,6319,3501,6267,10466,9609,5825,10789,2028,7299,9668,12558,3691,8670,4857,11283,6802,3761,10778,13329,10627,5492,3866,9160,9452,4973,3263,6756,8575,3450,6485,10548,5303,10456,5571,9404,12929,1533,3677,6921,9102,3568,10656,5545,10511,6364,5908,13324,10519,9993,5048,3878,9007,3739,10398,6458,5782,3002,10577,9771,4591,5358,12811,3507,7249,9168,12563,10790,3782,6568,5740,10912,2011,5715,9062,12868,7212,12579,11332,6539,5437,2927,10358,9876,5525,3029,5921,12347,9825,4799,6817,3553,6727,9109,10572,5467,10819,5734,9529,12457,9433,12848,3754,6499,7440,12402,10780,5663,3030,5832,9798,12565,10016,5031,11312,7238,12444,3972,8919,6431,5781,2975,6327,9342,5074,9634,5721,3881,6378,8685,7195,9549,12375,10629,6269,6701,9443,13440,10413,1982,4979,7360,9868,12485,3687,9065,4858,11277,6804,3495,6760,10361,9576,5342,3794,8893,12404,9758,4599,3391,6486,9123,3727,6460,10793,5554,10439,2034,7301,9515,12458,9990,5021,3868,6385,3809,11024,5490,10419,6922,5365,9557,9665,4974,3527,6707,8948,3323,10468,14352,5574,3043,10578,9526,4831,1979,9052,3788,7218,8691,12349,3449,10552,11776,6489,5895,13330,10944,2023,5774,12819,3936,8923,11394,6596,5956,2813,6541,10630,9840,5539,10414,5733,12813,9430,12930,3004,3544,6547,9015,10794,5577,10821,5469,9767,12569,7256,12566,11286,6351,3909,9114,10633,5795,2935,5351,9391,12814,9866,5089,7684,12465,3485,6818,9066,10523,5687,3033,6702,9624,12581,9613,5924,3768,6929,9110,7244,12676,10362,6576,5548,3045,9828,13345,10688,9446,4981,7183,12379,3678,8694,5035,6501,3861,6331,10593,9987,5090,5496,3510,7306,9125,12872,9558,13057,3446,6380,6808,5840,10801,2013,5752,7456,9530,12486,9874,5076,11336,6768,3693,10443,9779,6731,5785,9403,5022,9680,4860,3896,6924,8935,3735,7224,10303,14368,5366,10580,9550,12460,2036,5037,3295,7266,8952,12408,3764,10634,11289,6849,5724,9436,9773,5463,12489,3984,9073,11521,6270,5901,3034,6386,10767,9339,5553,10822,2007,8686,7207,9571,12624,10796,6709,3531,6542,10421,6017,10535,5679,9464,12350,3699,8894,11299,6490,3793,6600,9113,10525,5483,2991,5738,12570,9816,5063,3907,8693,3556,6502,9068,10472,5363,10364,6549,5580,9607,12431,13317,3882,6447,3502,9039,10445,6713,5546,2939,10048,13332,10422,9636,4982,7688,12391,3889,9184,12466,3046,3643,6388,10883,9889,4927,5779,3326,7302,8639,12582,7241,12381,11396,6739,5438,2814,13346,10802,2030,5907,7427,9799,12932,9628,5043,6333,3513,6710,10526,9561,5801,10825,5527,9449,12490,9896,4603,3757,6820,8925,7313,14339,5357,10539,5936,7198,9989,12880,9861,4985,3812,7252,12611,3694,10594,6505,5746,9532,5080,9423,5856,12680,3785,6850,9019,11285,14341,5586,2559,6733,9782,5711,10451,2014,4847,9126,7488,9826,12585,3533,10641,6359,11344,6930,10425,9666,5798,13058,3452,9074,5038,11301,6791,3741,6492,9129,10636,5954,10584,2040,9155,9611,12395,3914,6563,4000,6550,8939,10826,5519,10885,6608,5556,9457,12468,9311,11522,6824,3539,8697,10833,6945,5479,3036,13568,10775,9573,5092,3705,9047,3800,7213,9116,12439,10480,3855,6506,10002,12497,5788,3447,7308,8926,12572,3892,9021,11290,6734,5737,3049,6553,13315,10446,9755,5910,7430,12936,9405,5067,2999,3702,6714,10335,9803,5573,10567,5369,7265,9555,12382,12492,3974,6932,3755,10804,5608,11040,5829,7696,9622,12586,9450,4986,7250,12688,3439,10642,5694,3050,5470,9880,4605,9578,5902,12896,3516,6741,9157,7219,14400,6018,10596,6716,5745,9806,13377,10547,1535,5045,7330,9922,12640,3884,10541,6363,6455,10657,9431,5069,5493,12613,3542,9130,12821,11400,6852,3921,6742,9076,5585,10453,2027,5804,8698,12443,7433,9519,12498,11306,6745,3319,6795,10808,2029,6565,5723,9781,12593,9996,5096,11360,6936,3742,6946,8941,11072,14345,5786,2941,9562,9832,4988,3971,6755,9137,3509,7191,9158,12835,10828,11275,6746,5370,9648,12588,9873,3796,7316,12397,3763,8947,11777,6554,5534,3023,6375,13336,10426,9458,5913,3910,9051,9619,12472,2942,6832,3863,6797,10886,9785,5486,10644,5560,7272,9580,12822,3545,9132,11331,6392,3701,10467,13348,11136,5964,7214,12825,9406,5046,3558,9022,3810,6513,10834,5247,10658,5827,10001,12403,5602,3890,6334,9103,3423,10542,5923,10889,6508,5693,9813,13378,11011,9774,4959,7712,12455,3751,10600,6798,5547,3057,10779,10024,4855,5960,12513,3514,7239,9063,12614,14342,3922,6803,5810,10351,2035,5797,8831,12594,7305,9672,13060,11292,6479,6624,10571,9890,5491,3003,5899,12445,9527,5104,11408,6459,3787,6365,9080,14353,5719,10454,5578,9564,12944,9437,12617,3534,6514,3978,7429,8671,12398,10549,6757,5372,9614,12405,9460,4606,11302,7552,12500,3937,9138,11524,6566,5531,3052,6569,9924,9869,5748,3706,6595,8942,7221,9994,12459,10428,6758,3869,6687,9818,13326,10689,2037,7442,9585,13064,3766,9161,5075,11313,6379,3977,6556,10457,13352,10648,5588,3647,8700,9805,5049,3555,6487,9053,3824,6516,10849,6024,10836,5925,7329,9638,12618,10049,3453,6919,3783,10791,5485,10890,6461,5834,13441,10469,9531,4859,3879,8949,3541,10399,14346,5968,3058,10660,9574,5070,5549,12514,4032,7683,9162,12837,3503,10550,11333,6366,5739,13331,10781,1791,5809,12826,7243,12675,11528,6570,5914,3005,11013,9892,5311,10850,5498,12596,9435,12504,6597,3913,6381,9111,10897,5725,10573,5616,9786,12704,7268,9625,12559,11305,6703,7314,12567,10359,5926,3031,5787,10018,12446,9696,5050,11338,7436,12625,3758,6977,9067,14354,5555,300
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シーケンスグループ5: Z5_16384
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シーケンスグループ6: Q6_2048
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シーケンスグループ6: Z6_2048
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シーケンスグループ6: Q6_4096
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シーケンスグループ6: Z6_4096
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シーケンスグループ7: Q7_2048
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シーケンスグループ7: Z7_2048
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シーケンスグループ7: Q7_4096
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シーケンスグループ7: Z7_4096
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シーケンスグループ8: Q8_2048
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シーケンスグループ8: Z8_2048
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シーケンスグループ8: Q8_4096
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シーケンスグループ8: Z8_4096
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Claims (24)

  1. ポーラ符号の符号化方法であって、
    符号化装置によって、K個の符号化されるべきビット、マザー符号長さN、及び第1のシーケンスを取得するステップであって、前記第1のシーケンスは、N個の偏波サブチャネルのシーケンス番号を含み、前記N個の偏波サブチャネルの前記シーケンス番号は、前記N個の偏波サブチャネルの信頼性に基づいて、前記第1のシーケンスの中に配列され、N=2n、K≦Nであり、Nは、32以上であり、K、n、及びNは、正の整数である、ステップと、
    前記第1のシーケンスに基づいて、前記K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、前記K個の符号化されるべきビットに対して極性符号化を実行して、符号化されているビットシーケンスを取得するステップと、
    前記符号化されているシーケンスに対してレートマッチングを実行して、レートマッチングされているシーケンスを取得するステップと、
    前記レートマッチングされているシーケンスを出力するステップと、を含み、
    前記第1のシーケンスは、前記付録の中で長さがNであるいずれかのQシーケンスである、
    方法。
  2. ポーラ符号の復号化方法であって、
    復号化装置によって、復号化されるべき情報シーケンスを取得するステップであって、前記復号化されるべき情報シーケンスは、K個の復号化されるべきビットを含む、ステップと、
    マザー符号長さN及び第1のシーケンスを決定するステップであって、前記第1のシーケンスは、N個の偏波サブチャネルのシーケンス番号を含み、前記N個の偏波サブチャネルの前記シーケンス番号は、前記N個の偏波サブチャネルの信頼性に基づいて、前記第1のシーケンスの中に配列され、N=2n、K≦Nであり、Nは、32以上であり、K、n、及びNは、正の整数である、ステップと、
    前記第1のシーケンスに基づいて、前記K個の復号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、前記復号化されるべき情報シーケンスを復号化して、復号化結果を取得するステップと、
    前記復号化結果を出力するステップと、を含み、
    前記第1のシーケンスは、前記付録の中で長さがNであるいずれかのQシーケンスであるか、又は、前記付録の中で長さがNよりも長いいずれかのQシーケンスの部分シーケンスである、
    方法。
  3. 前記第1のシーケンスは、第2のシーケンスの部分シーケンスであり、前記第2のシーケンスは、Nmax個の偏波サブチャネルのシーケンス番号を含み、前記Nmax個の偏波サブチャネルの前記シーケンス番号は、前記Nmax個の偏波サブチャネルの信頼性に基づいて、前記第2のシーケンスの中に配列され、Nは、Nmax以下であり、且つ、
    であり、nmaxは、正の整数であり、nは、nmax以下であり、前記第2のシーケンスは、前記付録の中で長さがNmaxであるいずれかのシーケンスである、請求項1又は2に記載の方法。
  4. 前記K個の符号化されるべきビットは、巡回冗長検査ビットを含む、請求項1乃至3のうちのいずれか1項に記載の方法。
  5. 前記K個の符号化されるべきビットは、パリティチェックビットを含む、請求項1乃至4のうちのいずれか1項に記載の方法。
  6. 前記第1のシーケンスに基づいて、前記K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定する前記ステップは、MがN以下であるときに、M-P個のパンクチャリングされていない偏波サブチャネルのうちで信頼性の高い前記K個の偏波サブチャネルへと、前記K個の符号化されるべきビットをマッピングして、前記K個の符号化されるべきビットを含む前記偏波サブチャネルの信頼性が、残りのM-P-K個の偏波サブチャネルの信頼性よりもより高くなることを可能とするステップであり、Mは、ターゲット符号長さであり、Pは、あらかじめ凍結されている偏波サブチャネルの数であり、Pは、0以上である、請求項1乃至5のうちのいずれか1項に記載の方法。
  7. 前記第1のシーケンスは、あらかじめ格納されている、請求項1乃至6のうちのいずれか1項に記載の方法。
  8. 前記N個の偏波サブチャネルの前記シーケンス番号は、0乃至(N-1)又は1乃至Nの範囲にある、請求項1乃至7のうちのいずれか1項に記載の方法。
  9. ポーラポーラ符号の符号化装置であって、
    K個の符号化されるべきビットを取得するように構成される取得ユニットであって、Kは、正の整数である、取得ユニットと、
    マザー符号長さN及び第1のシーケンスを決定し、前記第1のシーケンスに基づいて、前記K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、そして、前記K個の符号化されるべきビットに対して極性符号化を実行して、符号化されているビットシーケンスを取得する、ように構成される符号化ユニットであって、前記第1のシーケンスは、N個の偏波サブチャネルのシーケンス番号を含み、前記N個の偏波サブチャネルの前記シーケンス番号は、前記N個の偏波サブチャネルの信頼性に基づいて、前記第1のシーケンスの中に配列され、N=2n、K≦Nであり、Nは、32以上であり、K、n、及びNは、正の整数であり、前記第1のシーケンスは、前記付録の中で長さがNであるいずれかのQシーケンスであるか、又は、前記付録の中で長さがNよりも長いいずれかのQシーケンスの部分シーケンスである、符号化ユニットと、
    前記符号化されているビットシーケンスに対してレートマッチングを実行し、そして、レートマッチングされているビットシーケンスを取得し及び出力する、ように構成されるレートマッチングユニットと、を含む、
    装置。
  10. ポーラ符号の復号化装置であって、
    復号化されるべき情報シーケンスを取得するように構成される取得ユニットであって、前記復号化されるべき情報シーケンスは、K個の復号化されるべきビットを含む、取得ユニットと、
    マザー符号長さN及び第1のシーケンスを決定するように構成される処理ユニットであって、前記第1のシーケンスは、N個の偏波サブチャネルのシーケンス番号を含み、前記N個の偏波サブチャネルの前記シーケンス番号は、前記N個の偏波サブチャネルの信頼性に基づいて、前記第1のシーケンスの中に配列され、N=2n、K≦Nであり、Nは、32以上であり、K、n、及びNは、正の整数であり、前記第1のシーケンスは、前記付録の中で長さがNであるいずれかのQシーケンスであるか、又は、前記付録の中で長さがNよりも長いいずれかのQシーケンスの部分シーケンスであり、復号化結果を取得し及び出力する、ように構成される、処理ユニットと、を含み、
    前記処理ユニットは、さらに、前記第1のシーケンスに基づいて、前記K個の復号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定し、前記復号化されるべき情報シーケンスを復号化し、そして、前記復号化結果を取得し及び出力する、ように構成される、
    装置。
  11. 前記第1のシーケンスは、第2のシーケンスの部分シーケンスであり、前記第2のシーケンスは、Nmax個の偏波サブチャネルのシーケンス番号を含み、前記Nmax個の偏波サブチャネルの前記シーケンス番号は、前記Nmax個の偏波サブチャネルの信頼性に基づいて、前記第2のシーケンスの中に配列され、Nは、Nmax以下であり、且つ、
    であり、nmaxは、正の整数であり、nは、nmax以下であり、前記第2のシーケンスは、前記付録の中で長さがNmaxであるいずれかのQシーケンスである、請求項9又は10に記載の装置。
  12. 前記K個の符号化されるべきビットは、巡回冗長検査ビットを含む、請求項9乃至11のうちのいずれか1項に記載の装置。
  13. 前記K個の符号化されるべきビットは、パリティチェックビットを含む、請求項9乃至12のうちのいずれか1項に記載の装置。
  14. 前記第1のシーケンスに基づいて、前記K個の符号化されるべきビットを収容するのに使用されるK個の偏波サブチャネルを決定することは、MがN以下であるときに、M-P個のパンクチャリングされていない偏波サブチャネルのうちで信頼性の高い前記K個の偏波サブチャネルへと、前記K個の符号化されるべきビットをマッピングして、前記K個の符号化されるべきビットを含む前記偏波サブチャネルの信頼性が、残りのM-P-K個の偏波サブチャネルの信頼性よりもより高くなることを可能とすることであり、Mは、ターゲット符号長さであり、Pは、あらかじめ凍結されている偏波サブチャネルの数であり、Pは、0以上である、請求項9乃至13のうちのいずれか1項に記載の装置。
  15. 前記第1のシーケンスは、あらかじめ格納されている、請求項9乃至14のうちのいずれか1項に記載の装置。
  16. 前記N個の偏波サブチャネルの前記シーケンス番号は、0乃至(N-1)又は1乃至Nの範囲にある、請求項9乃至15のうちのいずれか1項に記載の装置。
  17. ポーラ符号の符号化装置であって、
    K個の符号化されるべきビットを取得するように構成される入力インターフェイス回路と、
    請求項1及び請求項3乃至8のうちのいずれか1項に記載の方法にしたがって、前記K個の符号化されるべきビットに基づいて、レートマッチングされているシーケンスを取得するように構成される論理回路と、
    前記レートマッチングされているシーケンスを出力するように構成される出力インターフェイス回路と、を含む、
    装置。
  18. ポーラポーラ符号の符号化装置であって、請求項1及び請求項3乃至8のうちのいずれか1項に記載の方法を実行するように構成されるプロセッサを含む、装置。
  19. 前記プロセッサが、請求項1及び請求項3乃至8のうちのいずれか1項に記載の方法を実行するときに使用されるプログラム命令を格納するように構成されるメモリをさらに含む、請求項18に記載の装置。
  20. ポーラ符号の復号化装置であって、
    符号化されるべき情報シーケンスを取得するように構成される入力インターフェイス回路と、
    請求項2乃至8のうちのいずれか1項に記載の方法にしたがって、前記復号化されるべき情報シーケンスに対して復号化操作を実行して、復号化結果を取得するように構成される論理回路と、
    前記復号化結果を出力するように構成される出力インターフェイス回路と、を含む、
    装置。
  21. ポーラポーラ符号の復号化装置であって、請求項2乃至8のうちのいずれか1項に記載の方法を実行するように構成されるプロセッサを含む、装置。
  22. 前記プロセッサが、請求項2乃至8のうちのいずれか1項に記載の方法を実行するときに使用されるプログラム命令を格納するように構成されるメモリをさらに含む、請求項21に記載の装置。
  23. コンピュータプログラム命令を格納するコンピュータ読み取り可能な媒体であって、前記コンピュータプログラム命令がコンピュータによって実行されるときに、請求項1乃至8のうちのいずれか1項に記載の方法を実行する、コンピュータ読み取り可能な媒体。
  24. プログラム製品であって、当該プログラム製品は、コンピュータプログラム命令を含み、前記コンピュータプログラム命令がコンピュータによって実行されるときに、請求項1乃至8のうちのいずれか1項に記載の方法を実行する、プログラム製品。

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