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From: Sunil Pandey <skpgkp2@gmail.com>
Date: Thu, 22 Sep 2022 20:57:37 -0700
Message-ID: <CAMAf5_fVsjw5i2KMu+VLHs5+fdFxYTSvqL9Q+8DUETnTcovWHQ@mail.gmail.com>
Subject: Re: [PATCH] x86_64: Implement evex512 version of memchr, rawmemchr
 and wmemchr
To: Noah Goldstein <goldstein.w.n@gmail.com>
Cc: GNU C Library <libc-alpha@sourceware.org>
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Microbenchmark data collected on: Intel(R) Xeon(R) Gold 6148 CPU @ 2.40GHz


On Wed, Sep 21, 2022 at 5:50 PM Noah Goldstein <goldstein.w.n@gmail.com> wrote:
>
> On Wed, Sep 21, 2022 at 5:27 PM Sunil K Pandey via Libc-alpha
> <libc-alpha@sourceware.org> wrote:
> >
> > This patch implements following evex512 version of string functions.
> > evex512 version takes up to 30% less cycle as compared to evex,
> > depending on length and alignment.
>
> Please attach benchmark numbers.
> >
> > - memchr function using 512 bit vectors.
> > - rawmemchr function using 512 bit vectors.
> > - wmemchr function using 512 bit vectors.
> >
> > Code size data:
> >
> > memchr-evex.o           762 byte
> > memchr-evex512.o        570 byte (-25%)
> >
> > rawmemchr-evex.o        461 byte
> > rawmemchr-evex512.o     413 byte (-10%)
> >
> > wmemchr-evex.o          794 byte
> > wmemchr-evex512.o       568 byte (-28%)
> >
> > Placeholder function, not used by any processor at the moment.
> > ---
> >  sysdeps/x86_64/multiarch/Makefile            |   3 +
> >  sysdeps/x86_64/multiarch/ifunc-impl-list.c   |  15 +
> >  sysdeps/x86_64/multiarch/memchr-evex-base.S  | 306 +++++++++++++++++++
> >  sysdeps/x86_64/multiarch/memchr-evex512.S    |   7 +
> >  sysdeps/x86_64/multiarch/rawmemchr-evex512.S |   7 +
> >  sysdeps/x86_64/multiarch/wmemchr-evex512.S   |   8 +
> >  6 files changed, 346 insertions(+)
> >  create mode 100644 sysdeps/x86_64/multiarch/memchr-evex-base.S
> >  create mode 100644 sysdeps/x86_64/multiarch/memchr-evex512.S
> >  create mode 100644 sysdeps/x86_64/multiarch/rawmemchr-evex512.S
> >  create mode 100644 sysdeps/x86_64/multiarch/wmemchr-evex512.S
> >
> > diff --git a/sysdeps/x86_64/multiarch/Makefile b/sysdeps/x86_64/multiarch/Makefile
> > index df4601c294..e974b1ad97 100644
> > --- a/sysdeps/x86_64/multiarch/Makefile
> > +++ b/sysdeps/x86_64/multiarch/Makefile
> > @@ -4,6 +4,7 @@ sysdep_routines += \
> >    memchr-avx2 \
> >    memchr-avx2-rtm \
> >    memchr-evex \
> > +  memchr-evex512 \
> >    memchr-evex-rtm \
> >    memchr-sse2 \
> >    memcmp-avx2-movbe \
> > @@ -36,6 +37,7 @@ sysdep_routines += \
> >    rawmemchr-avx2 \
> >    rawmemchr-avx2-rtm \
> >    rawmemchr-evex \
> > +  rawmemchr-evex512 \
> >    rawmemchr-evex-rtm \
> >    rawmemchr-sse2 \
> >    stpcpy-avx2 \
> > @@ -156,6 +158,7 @@ sysdep_routines += \
> >    wmemchr-avx2 \
> >    wmemchr-avx2-rtm \
> >    wmemchr-evex \
> > +  wmemchr-evex512 \
> >    wmemchr-evex-rtm \
> >    wmemchr-sse2 \
> >    wmemcmp-avx2-movbe \
> > diff --git a/sysdeps/x86_64/multiarch/ifunc-impl-list.c b/sysdeps/x86_64/multiarch/ifunc-impl-list.c
> > index a71444eccb..17f770318d 100644
> > --- a/sysdeps/x86_64/multiarch/ifunc-impl-list.c
> > +++ b/sysdeps/x86_64/multiarch/ifunc-impl-list.c
> > @@ -63,6 +63,11 @@ __libc_ifunc_impl_list (const char *name, struct libc_ifunc_impl *array,
> >                                       && CPU_FEATURE_USABLE (AVX512BW)
> >                                       && CPU_FEATURE_USABLE (BMI2)),
> >                                      __memchr_evex)
> > +             X86_IFUNC_IMPL_ADD_V4 (array, i, memchr,
> > +                                    (CPU_FEATURE_USABLE (AVX512VL)
> > +                                     && CPU_FEATURE_USABLE (AVX512BW)
> > +                                     && CPU_FEATURE_USABLE (BMI2)),
> > +                                    __memchr_evex512)
> >               X86_IFUNC_IMPL_ADD_V4 (array, i, memchr,
> >                                      (CPU_FEATURE_USABLE (AVX512VL)
> >                                       && CPU_FEATURE_USABLE (AVX512BW)
> > @@ -329,6 +334,11 @@ __libc_ifunc_impl_list (const char *name, struct libc_ifunc_impl *array,
> >                                       && CPU_FEATURE_USABLE (AVX512BW)
> >                                       && CPU_FEATURE_USABLE (BMI2)),
> >                                      __rawmemchr_evex)
> > +             X86_IFUNC_IMPL_ADD_V4 (array, i, rawmemchr,
> > +                                    (CPU_FEATURE_USABLE (AVX512VL)
> > +                                     && CPU_FEATURE_USABLE (AVX512BW)
> > +                                     && CPU_FEATURE_USABLE (BMI2)),
> > +                                    __rawmemchr_evex512)
> >               X86_IFUNC_IMPL_ADD_V4 (array, i, rawmemchr,
> >                                      (CPU_FEATURE_USABLE (AVX512VL)
> >                                       && CPU_FEATURE_USABLE (AVX512BW)
> > @@ -903,6 +913,11 @@ __libc_ifunc_impl_list (const char *name, struct libc_ifunc_impl *array,
> >                                       && CPU_FEATURE_USABLE (AVX512BW)
> >                                       && CPU_FEATURE_USABLE (BMI2)),
> >                                      __wmemchr_evex)
> > +             X86_IFUNC_IMPL_ADD_V4 (array, i, wmemchr,
> > +                                    (CPU_FEATURE_USABLE (AVX512VL)
> > +                                     && CPU_FEATURE_USABLE (AVX512BW)
> > +                                     && CPU_FEATURE_USABLE (BMI2)),
> > +                                    __wmemchr_evex512)
> >               X86_IFUNC_IMPL_ADD_V4 (array, i, wmemchr,
> >                                      (CPU_FEATURE_USABLE (AVX512VL)
> >                                       && CPU_FEATURE_USABLE (AVX512BW)
> > diff --git a/sysdeps/x86_64/multiarch/memchr-evex-base.S b/sysdeps/x86_64/multiarch/memchr-evex-base.S
> > new file mode 100644
> > index 0000000000..524f0809b5
> > --- /dev/null
> > +++ b/sysdeps/x86_64/multiarch/memchr-evex-base.S
> > @@ -0,0 +1,306 @@
> > +/* Placeholder function, not used by any processor at the moment.
> > +   Copyright (C) 2022 Free Software Foundation, Inc.
> > +   This file is part of the GNU C Library.
> > +
> > +   The GNU C Library is free software; you can redistribute it and/or
> > +   modify it under the terms of the GNU Lesser General Public
> > +   License as published by the Free Software Foundation; either
> > +   version 2.1 of the License, or (at your option) any later version.
> > +
> > +   The GNU C Library is distributed in the hope that it will be useful,
> > +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> > +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> > +   Lesser General Public License for more details.
> > +
> > +   You should have received a copy of the GNU Lesser General Public
> > +   License along with the GNU C Library; if not, see
> > +   <https://www.gnu.org/licenses/>.  */
> > +
> > +/* UNUSED. Exists purely as reference implementation.  */
> > +
> > +#include <isa-level.h>
> > +
> > +#if ISA_SHOULD_BUILD (4)
> > +
> > +# include <sysdep.h>
> > +
> > +# ifdef USE_AS_WMEMCHR
> > +#  define CHAR_SIZE    4
> > +#  define VPBROADCAST   vpbroadcastd
> > +#  define VPCMP                vpcmpd
> > +# else
> > +#  define CHAR_SIZE    1
> > +#  define VPBROADCAST   vpbroadcastb
> > +#  define VPCMP                vpcmpb
> > +# endif
> > +
> > +# define PAGE_SIZE     4096
> > +# define CHAR_PER_VEC  (VEC_SIZE / CHAR_SIZE)
> > +# define XMM1           xmm17
> > +
> > +# if VEC_SIZE == 64
> > +#  define KMOV         kmovq
> > +#  define KOR          korq
> > +#  define KORTEST      kortestq
> > +#  define RAX          rax
> > +#  define RCX          rcx
> > +#  define SHR          shrq
> > +#  define SARX         sarxq
> > +#  define TEXTSUFFIX   evex512
> > +#  define VMM0         zmm16
> > +# elif VEC_SIZE == 32
> > +/* Currently Unused.  */
> > +#  define KMOV         kmovd
> > +#  define KOR          kord
> > +#  define KORTEST      kortestd
> > +#  define RAX          eax
> > +#  define RCX          ecx
> > +#  define SHR          shrl
> > +#  define SARX         sarxl
> > +#  define TEXTSUFFIX   evex256
> > +#  define VMM0         ymm16
> > +# endif
> > +
> > +       .section .text.TEXTSUFFIX, "ax", @progbits
> > +/* Aligning entry point to 64 byte, provides better performance for
> > +   one vector length string.  */
> > +ENTRY_P2ALIGN (MEMCHR, 6)
> > +# ifndef USE_AS_RAWMEMCHR
> > +       /* Check for zero length.  */
> > +       test    %RDX_LP, %RDX_LP
> > +       jz      L(zero)
> > +
> > +#  ifdef __ILP32__
> > +       /* Clear the upper 32 bits.  */
> > +       movl    %edx, %edx
> > +#  endif
> > +# endif
> > +
> > +       /* Broadcast CHAR to VMM0.  */
> > +       VPBROADCAST %esi, %VMM0
> > +       movl    %edi, %eax
> > +       andl    $(PAGE_SIZE - 1), %eax
> > +       cmpl    $(PAGE_SIZE - VEC_SIZE), %eax
> > +       ja      L(page_cross)
> > +
> > +       /* Compare [w]char for null, mask bit will be set for match.  */
> > +       VPCMP   $0, (%rdi), %VMM0, %k0
> > +
> > +       KMOV    %k0, %RAX
> > +# ifndef USE_AS_RAWMEMCHR
> > +       bsf     %RAX, %RCX
> > +       jz      L(align_more)
> > +       xor     %eax, %eax
> > +#  ifdef USE_AS_WMEMCHR
> > +       leaq    (%rdi, %rcx, CHAR_SIZE), %rdi
> > +#  else
> > +       addq    %rcx, %rdi
> > +#  endif
> > +       cmp     %rcx, %rdx
> > +       cmova   %rdi, %rax
> > +# else
> > +       bsf     %RAX, %RAX
> > +       jz      L(align_more)
> > +       add     %rdi, %rax
> > +# endif
> > +       ret
> > +
> > +# ifndef USE_AS_RAWMEMCHR
> > +L(zero):
> > +       xorl    %eax, %eax
> > +       ret
> > +# endif
> > +
> > +       .p2align 5,,5
> > +L(page_cross):
> > +       movq    %rdi, %rcx
> > +       andq    $-VEC_SIZE, %rcx
> > +
> > +       VPCMP   $0, (%rcx), %VMM0, %k0
> > +       KMOV    %k0, %RCX
> > +       SARX    %RAX, %RCX, %RAX
> > +# ifndef USE_AS_RAWMEMCHR
> > +       bsf     %RAX, %RCX
> > +       jz      L(align_more)
> > +       xor     %eax, %eax
> > +#  ifdef USE_AS_WMEMCHR
> > +       leaq    (%rdi, %rcx, CHAR_SIZE), %rdi
> > +#  else
> > +       addq    %rcx, %rdi
> > +#  endif
> > +       cmp     %rcx, %rdx
> > +       cmovae  %rdi, %rax
> > +
> > +# else
> > +       bsf     %rax, %rax
> > +       jz      L(align_more)
> > +       add     %rdi, %rax
> > +# endif
> > +       ret
> > +
> > +L(ret_vec_x2):
> > +       subq    $-VEC_SIZE, %rdi
> > +L(ret_vec_x1):
> > +       bsf     %RAX, %RAX
> > +# ifndef USE_AS_RAWMEMCHR
> > +       jz      L(zero)
> > +       cmp     %rax, %rdx
> > +       jbe     L(zero)
> > +# endif
> > +# ifdef USE_AS_WMEMCHR
> > +       leaq    (%rdi, %rax, CHAR_SIZE), %rax
> > +# else
> > +       add     %rdi, %rax
> > +# endif
> > +       ret
> > +
> > +       .p2align 5,,10
> > +L(align_more):
> > +# ifndef USE_AS_RAWMEMCHR
> > +       xor     %eax, %eax
> > +       subq    %rdi, %rax
> > +# endif
> > +
> > +       subq    $-VEC_SIZE, %rdi
> > +       /* Align rdi to VEC_SIZE.  */
> > +       andq    $-VEC_SIZE, %rdi
> > +
> > +# ifndef USE_AS_RAWMEMCHR
> > +       addq    %rdi, %rax
> > +#  ifdef USE_AS_WMEMCHR
> > +       sarl    $2, %eax
> > +#  endif
> > +       subq    %rax, %rdx
> > +       jbe     L(zero)
> > +# endif
> > +
> > +       /* Loop unroll 4 times for 4 vector loop.  */
> > +       VPCMP   $0, (%rdi), %VMM0, %k0
> > +
> > +       KMOV    %k0, %RAX
> > +       test    %RAX, %RAX
> > +       jnz     L(ret_vec_x1)
> > +
> > +# ifndef USE_AS_RAWMEMCHR
> > +       subq    $CHAR_PER_VEC, %rdx
> > +       jbe     L(zero)
> > +# endif
> > +
> > +       VPCMP   $0, VEC_SIZE(%rdi), %VMM0, %k0
> > +
> > +       KMOV    %k0, %RAX
> > +       test    %RAX, %RAX
> > +       jnz     L(ret_vec_x2)
> > +
> > +# ifndef USE_AS_RAWMEMCHR
> > +       subq    $CHAR_PER_VEC, %rdx
> > +       jbe     L(zero)
> > +# endif
> > +
> > +       VPCMP   $0, (VEC_SIZE * 2)(%rdi), %VMM0, %k0
> > +
> > +       KMOV    %k0, %RAX
> > +       test    %RAX, %RAX
> > +       jnz     L(ret_vec_x3)
> > +
> > +# ifndef USE_AS_RAWMEMCHR
> > +       subq    $CHAR_PER_VEC, %rdx
> > +       jbe     L(zero)
> > +# endif
> > +
> > +       VPCMP   $0, (VEC_SIZE * 3)(%rdi), %VMM0, %k0
> > +
> > +       KMOV    %k0, %RAX
> > +       test    %RAX, %RAX
> > +       jnz     L(ret_vec_x4)
> > +
> > +# ifndef USE_AS_RAWMEMCHR
> > +       subq    $CHAR_PER_VEC, %rdx
> > +       jbe     L(zero)
> > +       /* Save pointer to find alignment adjustment.  */
> > +       movq    %rdi, %rax
> > +# endif
> > +       /* Align address to VEC_SIZE * 4 for loop.  */
> > +       andq    $-(VEC_SIZE * 4), %rdi
> > +
> > +       /* Add alignment difference to rdx.  */
> > +# ifndef USE_AS_RAWMEMCHR
> > +       subq    %rdi, %rax
> > +#  ifdef USE_AS_WMEMCHR
> > +       SHR     $2, %RAX
> > +#  endif
> > +       addq    %rax, %rdx
> > +       jmp     L(loop_entry)
> > +# endif
> > +
> > +       /* 4 vector loop.  */
> > +       .p2align 5,,11
> > +L(loop):
> > +# ifndef USE_AS_RAWMEMCHR
> > +       subq    $(CHAR_PER_VEC * 4), %rdx
> > +       jbe     L(zero)
> > +L(loop_entry):
> > +# endif
> > +       VPCMP   $0, (VEC_SIZE * 4)(%rdi), %VMM0, %k1
> > +       VPCMP   $0, (VEC_SIZE * 5)(%rdi), %VMM0, %k2
> > +       VPCMP   $0, (VEC_SIZE * 6)(%rdi), %VMM0, %k3
> > +       VPCMP   $0, (VEC_SIZE * 7)(%rdi), %VMM0, %k4
> > +       KOR     %k1, %k2, %k5
> > +       KOR     %k3, %k4, %k6
> > +
> > +       subq    $-(VEC_SIZE * 4), %rdi
> > +       KORTEST %k5, %k6
> > +       jz      L(loop)
> > +
> > +       KMOV    %k1, %RAX
> > +       test    %RAX, %RAX
> > +       jnz     L(ret_vec_x1)
> > +
> > +# ifndef USE_AS_RAWMEMCHR
> > +       subq    $CHAR_PER_VEC, %rdx
> > +       jbe     L(zero)
> > +# endif
> > +
> > +       KMOV    %k2, %RAX
> > +       test    %RAX, %RAX
> > +       jnz     L(ret_vec_x2)
> > +
> > +# ifndef USE_AS_RAWMEMCHR
> > +       subq    $CHAR_PER_VEC, %rdx
> > +       jbe     L(zero)
> > +# endif
> > +
> > +       KMOV    %k3, %RAX
> > +       test    %RAX, %RAX
> > +       jnz     L(ret_vec_x3)
> > +
> > +# ifndef USE_AS_RAWMEMCHR
> > +       subq    $CHAR_PER_VEC, %rdx
> > +       jbe     L(zero)
> > +# endif
> > +
> > +       /* At this point null [w]char must be in the fourth vector so no
> > +          need to check.  */
> > +       KMOV    %k4, %RAX
> > +
> > +L(ret_vec_x4):
> > +       bsf     %RAX, %RAX
> > +# ifndef USE_AS_RAWMEMCHR
> > +       cmp     %rax, %rdx
> > +       jbe     L(zero)
> > +# endif
> > +       leaq    (VEC_SIZE * 3)(%rdi, %rax, CHAR_SIZE), %rax
> > +       ret
> > +
> > +       .p2align 5,,5
> > +L(ret_vec_x3):
> > +       bsf     %RAX, %RAX
> > +# ifndef USE_AS_RAWMEMCHR
> > +       cmp     %rax, %rdx
> > +       jbe     L(zero)
> > +# endif
> > +       leaq    (VEC_SIZE * 2)(%rdi, %rax, CHAR_SIZE), %rax
> > +       ret
> > +
> > +END (MEMCHR)
> > +#endif
> > diff --git a/sysdeps/x86_64/multiarch/memchr-evex512.S b/sysdeps/x86_64/multiarch/memchr-evex512.S
> > new file mode 100644
> > index 0000000000..47349d817a
> > --- /dev/null
> > +++ b/sysdeps/x86_64/multiarch/memchr-evex512.S
> > @@ -0,0 +1,7 @@
> > +# ifndef MEMCHR
> > +#  define MEMCHR       __memchr_evex512
> > +# endif
> > +
> > +#define VEC_SIZE        64
> > +
> > +#include "memchr-evex-base.S"
> > diff --git a/sysdeps/x86_64/multiarch/rawmemchr-evex512.S b/sysdeps/x86_64/multiarch/rawmemchr-evex512.S
> > new file mode 100644
> > index 0000000000..302d3cb055
> > --- /dev/null
> > +++ b/sysdeps/x86_64/multiarch/rawmemchr-evex512.S
> > @@ -0,0 +1,7 @@
> > +#ifndef RAWMEMCHR
> > +# define RAWMEMCHR     __rawmemchr_evex512
> > +#endif
> > +#define USE_AS_RAWMEMCHR       1
> > +#define MEMCHR RAWMEMCHR
> > +
> > +#include "memchr-evex512.S"
> > diff --git a/sysdeps/x86_64/multiarch/wmemchr-evex512.S b/sysdeps/x86_64/multiarch/wmemchr-evex512.S
> > new file mode 100644
> > index 0000000000..f45ed1db75
> > --- /dev/null
> > +++ b/sysdeps/x86_64/multiarch/wmemchr-evex512.S
> > @@ -0,0 +1,8 @@
> > +#ifndef WMEMCHR
> > +# define WMEMCHR       __wmemchr_evex512
> > +#endif
> > +
> > +#define MEMCHR WMEMCHR
> > +#define USE_AS_WMEMCHR 1
> > +
> > +#include "memchr-evex512.S"
> > --
> > 2.36.1
> >

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CQogICAgICAgICAgICAgbGVuPTI5LCBhbGlnbj0wLCBwb3M9Mjg6ICAgICAgICAgOS45NwkgICAg
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ICAgICAgICAxMC42MQkgICAgICAgIDkuMTYgKCAxMy42NiUpCQogICAgICAgICAgICBsZW49Mjks
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MTUgKCAgOC4xMCUpCQogICAgICAgICAgICAgbGVuPTMwLCBhbGlnbj0wLCBwb3M9Mjk6ICAgICAg
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bj0wLCBwb3M9Mjk6ICAgICAgICAxMC4wMQkgICAgICAgIDcuMTMgKCAyOC43OSUpCQogICAgICAg
ICAgICBsZW49MzAsIGFsaWduPTI5LCBwb3M9Mjk6ICAgICAgICAxMC42NgkgICAgICAgIDkuMTEg
KCAxNC41OCUpCQogICAgICAgICAgICBsZW49MzAsIGFsaWduPTI5LCBwb3M9Mjk6ICAgICAgICAx
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ICAgbGVuPTI4LCBhbGlnbj0wLCBwb3M9Mjk6ICAgICAgICAxMC4wMgkgICAgICAgIDcuNzkgKCAy
Mi4zMSUpCQogICAgICAgICAgICBsZW49MjgsIGFsaWduPTI5LCBwb3M9Mjk6ICAgICAgICAxMC42
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b3M9Mjk6ICAgICAgICAxMC42NQkgICAgICAgIDkuMTcgKCAxMy44OCUpCQogICAgICAgICAgICAg
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CQogICAgICAgICAgICAgbGVuPTI5LCBhbGlnbj0wLCBwb3M9MzA6ICAgICAgICAxMC4wMwkgICAg
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MTggKCAxMy43NiUpCQogICAgICAgICAgICBsZW49MzIsIGFsaWduPTMxLCBwb3M9MzE6ICAgICAg
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bj0wLCBwb3M9MzE6ICAgICAgICAxMC4wMgkgICAgICAgIDcuOTEgKCAyMS4wOCUpCQogICAgICAg
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MC42NwkgICAgICAgIDkuMTIgKCAxNC41MCUpCQogICAgICAgICAgICBsZW49MzAsIGFsaWduPTMx
LCBwb3M9MzE6ICAgICAgICAxMC42NQkgICAgICAgIDkuMTkgKCAxMy43MCUpCQo=
--000000000000e26d5205e9502fcb
Content-Type: text/plain; charset="US-ASCII"; name="memchr.txt"
Content-Disposition: attachment; filename="memchr.txt"
Content-Transfer-Encoding: base64
Content-ID: <f_l8dy8oxz0>
X-Attachment-Id: f_l8dy8oxz0
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bj00MDgxLCBwb3M9NjQ6ICAgICAgICAgNy4zOQkgICAgICAgIDcuMTcgKCAgMi45NiUpCQogICAg
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MTggKCAxNS43MyUpCQogICAgICAgICAgICBsZW49MjU2LCBhbGlnbj0zLCBwb3M9NjQ6ICAgICAg
ICAgNy40NQkgICAgICAgIDYuMTMgKCAxNy42OCUpCQogICAgICAgICAgbGVuPTIwNDgsIGFsaWdu
PTAsIHBvcz0xMjg6ICAgICAgICAgOC43MQkgICAgICAgIDcuMTQgKCAxOC4wMCUpCQogICAgICAg
ICAgICBsZW49MjU2LCBhbGlnbj0zLCBwb3M9NjQ6ICAgICAgICAgNy4zNwkgICAgICAgIDYuMTgg
KCAxNi4xMCUpCQogICAgICAgICBsZW49MjU2LCBhbGlnbj00MDgxLCBwb3M9NjQ6ICAgICAgICAg
Ny4zNwkgICAgICAgIDcuMTQgKCAgMy4xOSUpCQogICAgICAgICAgbGVuPTIwNDgsIGFsaWduPTAs
IHBvcz0yNTY6ICAgICAgICAxNS4xNAkgICAgICAgMTMuMTYgKCAxMy4xMyUpCQogICAgICAgICAg
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Ni41NCUpCQogICAgICAgICAgbGVuPTIwNDgsIGFsaWduPTAsIHBvcz0yNTY6ICAgICAgICAxNS4y
MQkgICAgICAgMTMuMTQgKCAxMy42MSUpCQogICAgICAgICAgICBsZW49MjU2LCBhbGlnbj00LCBw
b3M9NjQ6ICAgICAgICAgNy40MgkgICAgICAgIDYuMTQgKCAxNy4zMSUpCQogICAgICAgICBsZW49
MjU2LCBhbGlnbj00MDgxLCBwb3M9NjQ6ICAgICAgICAgNy40MgkgICAgICAgIDcuMTEgKCAgNC4x
OSUpCQogICAgICAgICAgbGVuPTIwNDgsIGFsaWduPTAsIHBvcz01MTI6ICAgICAgICAxOC4zNAkg
ICAgICAgMTguMjIgKCAgMC42NiUpCQogICAgICAgICAgICBsZW49MjU2LCBhbGlnbj01LCBwb3M9
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CQogICAgICAgICAgICBsZW49MjU2LCBhbGlnbj01LCBwb3M9NjQ6ICAgICAgICAgNy4zNwkgICAg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KCAyMy41MiUpCQogICAgICAgICAgICBsZW49MjU2LCBhbGlnbj03LCBwb3M9NjQ6ICAgICAgICAg
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LCBwb3M9NjQ6ICAgICAgICAgNy40MQkgICAgICAgIDcuMTMgKCAgMy43NSUpCQogICAgICAgICAg
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CQogICAgICAgICAgICBsZW49MTkyLCBhbGlnbj0yLCBwb3M9NjQ6ICAgICAgICAgNy4zNwkgICAg
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Content-ID: <f_l8dy8oy11>
X-Attachment-Id: f_l8dy8oy11

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