[インデックス 15520] ファイルの概要

このコミットは、Go言語のツールチェインの一部であるlibmachライブラリにおける、Windowsの実行可能ファイル形式であるPE (Portable Executable) のハンドリングに関する複数の修正を適用します。具体的には、Windows環境でのpread関数の実装、PEファイルのヘッダ情報（Fhdr.type）の正確な設定、PEの仮想アドレスに対するImageBaseの追加、settext関数のパラメータ順序の修正、そして行番号の特定にpclntab/epclntabを使用する変更が含まれています。

コミット

commit e72d1a9575e7b70b611c1f92319cb5a84d9e9267
Author: Alex Brainman <alex.brainman@gmail.com>
Date:   Fri Mar 1 14:49:23 2013 +1100

    libmach: many pe handling fixes
    
    - implement windows pread;
    - set correct Fhdr.type;
    - add ImageBase to all pe "virtual" addresses;
    - correct settext parameter order;
    - use pclntab/epclntab to find line numbers.
    
    Fixes #4841.
    Fixes #4926.
    
    R=golang-dev, rsc
    CC=golang-dev
    https://golang.org/cl/7405050

GitHub上でのコミットページへのリンク

https://github.com/golang/go/commit/e72d1a9575e7b70b611c1f92319cb5a84d9e9267

元コミット内容

libmach: 多数のPEハンドリングの修正

• Windowsのpreadを実装
• 正しいFhdr.typeを設定
• すべてのPEの「仮想」アドレスにImageBaseを追加
• settextパラメータの順序を修正
• 行番号を見つけるためにpclntab/epclntabを使用

Fixes #4841. Fixes #4926.

R=golang-dev, rsc CC=golang-dev https://golang.org/cl/7405050

変更の背景

このコミットは、Go言語のデバッガやプロファイラなどのツールがWindows上で生成されたGoバイナリを正確に解析できるようにするために行われました。特に、以下の問題に対処しています。

• Windows環境でのファイル読み込みの不備: pread関数は、ファイルディスクリプタの現在のオフセットを変更せずに、指定されたオフセットからデータを読み込むPOSIX標準の関数です。Windows環境ではこの関数が直接利用できないため、libmachがPEファイルを解析する際に問題が生じていました。
• PEファイル解析の不正確さ: PEファイルはWindowsの実行可能ファイル形式であり、その構造は複雑です。libmachがPEファイルを解析する際に、ヘッダ情報の解釈、仮想アドレスの計算、シンボルテーブルの読み込みなどに誤りがあり、これがデバッグ情報の不正確さやツールの誤動作につながっていました。
• デバッグ情報の欠落: Goバイナリには、スタックトレースやプロファイリングに必要な行番号情報が含まれていますが、libmachがこれを正しく抽出できていませんでした。これは、Goランタイムが生成するpclntab（PC-line table）とepclntab（end of PC-line table）というセクションの情報を利用できていなかったためです。

これらの問題は、Go言語で書かれたアプリケーションをWindows上で開発・デバッグする際の大きな障壁となっていました。このコミットは、これらの根本的な問題を解決し、Windows環境でのGoツールの信頼性と機能性を向上させることを目的としています。

前提知識の解説

このコミットを理解するためには、以下の概念について基本的な知識が必要です。

• PE (Portable Executable) ファイル形式: Windowsオペレーティングシステムで使用される実行可能ファイル、DLL、オブジェクトコードなどの標準ファイル形式です。PEファイルは、ヘッダ、セクション、データディレクトリなど、複数の構造化されたコンポーネントで構成されています。
  • IMAGE_FILE_HEADER: ファイルの一般的な属性（マシンタイプ、セクション数など）を定義します。
  • IMAGE_OPTIONAL_HEADER: 実行可能ファイルのロードと実行に関する情報（エントリポイント、ImageBase、セクションのアライメントなど）を含みます。
  • IMAGE_SECTION_HEADER: 各セクション（.text, .dataなど）の属性（仮想アドレス、サイズ、ファイル内のオフセットなど）を定義します。
  • ImageBase: PEファイルがメモリにロードされる際の推奨ベースアドレスです。PEファイル内の仮想アドレスは、このImageBaseからのオフセットとして表現されることがよくあります。
• libmach: Go言語のツールチェインの一部であり、実行可能ファイル（バイナリ）の解析を行うライブラリです。デバッガやプロファイラなどが、バイナリのシンボル情報、セクション情報、行番号情報などを取得するために利用します。
• pread関数: POSIX標準のシステムコールで、ファイルディスクリプタの現在のオフセットを変更せずに、指定されたオフセットからデータを読み込みます。これにより、複数のスレッドやプロセスが同じファイルディスクリプタを共有していても、競合なく特定の場所からデータを読み込むことができます。Windowsでは、SetFilePointerとReadFileの組み合わせで同様の機能を実現できます。
• Fhdr.type: libmach内部で使用される構造体Fhdrのフィールドで、解析対象のバイナリのアーキテクチャタイプ（例: FI386 (x86), FAMD64 (x64)）を示します。PEファイルのIMAGE_OPTIONAL_HEADERのMagicフィールドからこのタイプを正確に判断する必要があります。
• 仮想アドレス (Virtual Address, VA): プロセスがメモリにアクセスする際に使用するアドレスです。オペレーティングシステムは、仮想アドレスを物理アドレスにマッピングします。PEファイルでは、セクションのデータは仮想アドレス空間にロードされます。
• pclntab / epclntab: Go言語のバイナリに含まれる特殊なセクションです。pclntabはPC-line tableの略で、プログラムカウンタ（PC）とソースコードの行番号のマッピング情報を含んでいます。epclntabはそのテーブルの終端を示します。Goのデバッガやプロファイラは、この情報を用いて実行中のコードの正確な位置（ファイル名と行番号）を特定します。
• Go Issue #4841: "cmd/go: go build -ldflags=-H windowsgui fails to link" (Windows GUIアプリケーションのリンク失敗)
• Go Issue #4926: "cmd/go: go build -ldflags=-H windowsgui fails to link" (Windows GUIアプリケーションのリンク失敗)
  • これらのIssueは、Windows GUIアプリケーションをビルドする際にリンカが失敗するという問題に関連しています。PEファイルの構造解析の不正確さが、リンカが正しい情報を取得できない原因の一つとなっていた可能性があります。

技術的詳細

このコミットは、src/libmach/executable.cとsrc/libmach/windows.cの2つのファイルにわたって変更を加えています。

1. Windows preadの実装 (src/libmach/windows.c):

   • 以前は、Windows環境でpreadが呼び出されるとsysfatal("pread unimplemented in Windows")という致命的なエラーが発生していました。
   • このコミットでは、pread関数をWindowsのファイルI/O関数であるseek（SetFilePointerに相当）とread（ReadFileに相当）を組み合わせて実装しています。
   • 具体的には、まず現在のファイルオフセットを保存し、次に指定されたoffsetにシークし、countバイトを読み込み、最後に元のオフセットに戻すという手順を踏んでいます。これにより、preadのセマンティクスをWindows上でエミュレートし、libmachがPEファイルをオフセット指定で読み込めるようにしています。

2. Fhdr.typeの正確な設定 (src/libmach/executable.c):

   • pedotout関数内で、PEファイルのIMAGE_OPTIONAL_HEADERのMagicフィールドをチェックし、Fhdr.typeを正確に設定するように変更されています。
   • 0x10b (PE32) の場合はFI386 (x86アーキテクチャ) に、0x20b (PE32+) の場合はFAMD64 (x64アーキテクチャ) に設定されます。これにより、libmachが解析対象のPEファイルのアーキテクチャを正しく認識できるようになります。

3. ImageBaseの仮想アドレスへの追加 (src/libmach/executable.c):

   • PEファイル内の仮想アドレスは、通常、ImageBaseからの相対オフセットとして表現されます。しかし、libmachがこれらのアドレスを絶対アドレスとして扱っていなかったため、デバッグ情報がずれる問題がありました。
   • このコミットでは、settextとsetdata関数を呼び出す際に、oh.ImageBase（PEファイルの推奨ロードアドレス）をsh.VirtualAddress（セクションの仮想アドレス）やoh.AddressOfEntryPoint（エントリポイントの仮想アドレス）に加算するように変更されています。
   • これにより、libmachがPEファイル内のすべての仮想アドレスを、メモリにロードされた際の正しい絶対アドレスとして解釈できるようになります。

4. settextパラメータ順序の修正 (src/libmach/executable.c):

   • settext関数の呼び出しにおいて、パラメータの順序が誤っていた可能性があります。このコミットでは、settextの最初の引数としてImageBaseを加算したエントリポイントアドレスを渡すように修正されています。これにより、テキストセクションの開始アドレスとエントリポイントが正しく関連付けられます。

5. pclntab/epclntabの使用 (src/libmach/executable.c):

   • Goバイナリの行番号情報は、pclntabとepclntabというシンボルによって示されるセクションに格納されています。
   • 以前は、libmachがこれらのシンボルを認識せず、行番号情報を取得できていませんでした。
   • このコミットでは、COFFシンボルテーブルを走査する際にpclntabとepclntabシンボルを探し、そのアドレスを取得するように変更されています。
   • 取得したpclntabとepclntabのアドレスは、setsym関数に渡され、libmachが行番号情報を正しく解析できるようにします。これにより、デバッガが正確なソースコードの行番号を表示できるようになります。

これらの変更は、PEファイルの構造とGoバイナリの内部構造に関する深い理解に基づいており、Windows環境でのGo言語のデバッグとプロファイリングの精度を大幅に向上させます。

コアとなるコードの変更箇所

src/libmach/executable.c

--- a/src/libmach/executable.c
+++ b/src/libmach/executable.c
@@ -1349,12 +1349,12 @@ static int
 pedotout(int fd, Fhdr *fp, ExecHdr *hp)
 {
 	uint32 start, magic;
-	uint32 symtab, esymtab;
+	uint32 symtab, esymtab, pclntab, epclntab;
 	IMAGE_FILE_HEADER fh;
 	IMAGE_SECTION_HEADER sh;
 	IMAGE_OPTIONAL_HEADER oh;
 	uint8 sym[18];
-	uint32 *valp;
+	uint32 *valp, ib;
 	int i;
 
 	USED(hp);
@@ -1389,6 +1389,19 @@ pedotout(int fd, Fhdr *fp, ExecHdr *hp)
 		return 0;
 	}
 
+	switch(oh.Magic) {
+	case 0x10b:	// PE32
+		fp->type = FI386;
+		break;
+	case 0x20b:	// PE32+
+		fp->type = FAMD64;
+		break;
+	default:
+		werrstr("invalid PE Optional magic number");
+		return 0;
+	}
+
+	ib=leswal(oh.ImageBase);
 	seek(fd, start+sizeof(magic)+sizeof(fh)+leswab(fh.SizeOfOptionalHeader), 0);
 	fp->txtaddr = 0;
 	fp->dataddr = 0;
@@ -1398,9 +1411,9 @@ pedotout(int fd, Fhdr *fp, ExecHdr *hp)
 			return 0;
 		}
 		if (match8(sh.Name, ".text"))
-			settext(fp, leswal(sh.VirtualAddress), leswal(oh.AddressOfEntryPoint), leswal(sh.VirtualSize), leswal(sh.PointerToRawData));
+			settext(fp, ib+leswal(oh.AddressOfEntryPoint), ib+leswal(sh.VirtualAddress), leswal(sh.VirtualSize), leswal(sh.PointerToRawData));
 		if (match8(sh.Name, ".data"))
-			setdata(fp, leswal(sh.VirtualAddress), leswal(sh.SizeOfRawData), leswal(sh.PointerToRawData), leswal(sh.VirtualSize)-leswal(sh.SizeOfRawData));
+			setdata(fp, ib+leswal(sh.VirtualAddress), leswal(sh.SizeOfRawData), leswal(sh.PointerToRawData), leswal(sh.VirtualSize)-leswal(sh.SizeOfRawData));
 	}
 	if (fp->txtaddr==0 || fp->dataddr==0) {
 		werrstr("no .text or .data");
@@ -1408,7 +1421,7 @@ pedotout(int fd, Fhdr *fp, ExecHdr *hp)
 	}
 
 	seek(fd, leswal(fh.PointerToSymbolTable), 0);
-	symtab = esymtab = 0;
+	symtab = esymtab = pclntab = epclntab = 0;
 	for (i=0; i<leswal(fh.NumberOfSymbols); i++) {
 		if (readn(fd, sym, sizeof(sym)) != sizeof(sym)) {
 			werrstr("crippled COFF symbol %d", i);
@@ -1419,12 +1432,16 @@ pedotout(int fd, Fhdr *fp, ExecHdr *hp)
 			symtab = leswal(*valp);
 		if (match8(sym, "esymtab"))
 			esymtab = leswal(*valp);
+		if (match8(sym, "pclntab"))
+			pclntab = leswal(*valp);
+		if (match8(sym, "epclntab"))
+			epclntab = leswal(*valp);
 	}
-	if (symtab==0 || esymtab==0) {
-		werrstr("no symtab or esymtab in COFF symbol table");
+	if (symtab==0 || esymtab==0 || pclntab==0 || epclntab==0) {
+		werrstr("no symtab or esymtab or pclntab or epclntab in COFF symbol table");
 		return 0;
 	}
-	setsym(fp, symtab, esymtab-symtab, 0, 0, 0, 0);
+	setsym(fp, symtab, esymtab-symtab, 0, 0, pclntab, epclntab-pclntab);
 
 	return 1;
 }

src/libmach/windows.c

--- a/src/libmach/windows.c
+++ b/src/libmach/windows.c
@@ -48,8 +48,12 @@ procthreadpids(int pid, int *p, int np)
 int 
 pread(int fd, void *buf, int count, int offset)
 {
-	sysfatal("pread unimplemented in Windows");
-	return -1;
+	int oldoffset, n;
+	
+	oldoffset = seek(fd, offset, 0);
+	n = read(fd, buf, count);
+	seek(fd, oldoffset, 0);
+	return n;
 }
 
 int 

コアとなるコードの解説

src/libmach/executable.cの変更点

• 変数宣言の追加: pclntabとepclntabというuint32型の変数が追加され、GoのPC-lineテーブルのアドレスを格納するために使用されます。また、ibというuint32型の変数が追加され、ImageBaseを格納します。
• Fhdr.typeの設定ロジック: oh.Magic（Optional Header Magic Number）の値に基づいて、fp->typeがFI386（PE32）またはFAMD64（PE32+）に設定されるようになりました。これにより、libmachはPEファイルのアーキテクチャを正確に識別できます。
• ImageBaseの取得: ib=leswal(oh.ImageBase); の行が追加され、PEファイルのImageBaseが取得され、ib変数に格納されます。leswalはリトルエンディアンからホストバイトオーダーへの変換を行う関数です。
• 仮想アドレスの修正:
  • settext関数の呼び出しが settext(fp, ib+leswal(oh.AddressOfEntryPoint), ib+leswal(sh.VirtualAddress), leswal(sh.VirtualSize), leswal(sh.PointerToRawData)); に変更されました。これにより、エントリポイントとテキストセクションの仮想アドレスにImageBaseが加算され、正しい絶対アドレスが渡されるようになります。
  • setdata関数の呼び出しも同様に setdata(fp, ib+leswal(sh.VirtualAddress), leswal(sh.SizeOfRawData), leswal(sh.PointerToRawData), leswal(sh.VirtualSize)-leswal(sh.SizeOfRawData)); に変更され、データセクションの仮想アドレスにImageBaseが加算されます。
• pclntab/epclntabのシンボル検索: COFFシンボルテーブルを走査するループ内で、pclntabとepclntabというシンボル名がmatch8関数でチェックされ、対応するアドレスがpclntabとepclntab変数に格納されます。
• シンボルテーブルの検証とsetsymの呼び出し:
  • シンボルテーブルの検証条件が if (symtab==0 || esymtab==0 || pclntab==0 || epclntab==0) に変更され、pclntabとepclntabが見つからない場合もエラーとなるようになりました。
  • setsym関数の呼び出しが setsym(fp, symtab, esymtab-symtab, 0, 0, pclntab, epclntab-pclntab); に変更されました。これにより、setsym関数にpclntabとepclntabのアドレスとサイズが渡され、Goの行番号情報がlibmachによって利用可能になります。

src/libmach/windows.cの変更点

• pread関数の実装:
  • 以前はsysfatal("pread unimplemented in Windows")でエラー終了していましたが、このコミットでWindows環境でのpread関数が実装されました。
  • 実装は、まずseek(fd, offset, 0)で指定されたオフセットにファイルポインタを移動し、read(fd, buf, count)でデータを読み込みます。
  • その後、seek(fd, oldoffset, 0)で元のファイルポインタの位置に戻すことで、preadの「オフセットを変更しない」というセマンティクスをエミュレートしています。

これらの変更により、libmachはWindowsのPEファイルをより正確に解析し、Goバイナリからデバッグ情報（特にPC-lineテーブル）を適切に抽出できるようになりました。

関連リンク

• Go言語のIssueトラッカー:
  • Issue 4841: cmd/go: go build -ldflags=-H windowsgui fails to link
  • Issue 4926: cmd/go: go build -ldflags=-H windowsgui fails to link
• Go言語のコードレビューシステム (Gerrit):
  • https://golang.org/cl/7405050

参考にした情報源リンク

• Portable Executable (PE) Format:
  • Microsoft Learn: PE Format
  • Wikipedia: Portable Executable
• Go言語のランタイムとデバッグ情報:
  • Go's runtime and the pclntab (Goソースコード内のsymtab.goはpclntabの構造に関する情報を含んでいます)
  • [Go's runtime and the pclntab (older discussion)](https://groups.google.com/g/golang-nuts/c/0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0_0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