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Groups > comp.lang.c++ > #91266
| From | Bonita Montero <Bonita.Montero@gmail.com> |
|---|---|
| Newsgroups | comp.lang.c++ |
| Subject | Re: Sieve of Eratosthenes |
| Date | 2023-08-16 20:21 +0200 |
| Organization | A noiseless patient Spider |
| Message-ID | <ubj43n$3d8rd$1@dont-email.me> (permalink) |
| References | <ubijff$3ahf3$1@dont-email.me> <72077cd4-e030-4f7c-a136-fcd3aeda86d1n@googlegroups.com> |
Am 16.08.2023 um 19:57 schrieb wij:
> On Wednesday, August 16, 2023 at 9:38:10 PM UTC+8, Bonita Montero wrote:
>> I tried to implement the sieve of Erastosthenes as fast as possible.
>> I didn't thought it would make a big difference, but having a bit-wise
>> vector<bool> instead of a vector<char> makes the code twice as fast
>> for my AMD 7950X PC and an upper bound of one billion. The additional
>> overhead for the bit-wise access is less than the additional overhead
>> of fetching more memory.
>> I also tried Eulers sieve but as I expected filtering the numbers by
>> modulo operations with the recent prime numbers takes much more time
>> than simply resetting a bit; the resulting code becomes mulltiple
>> times slower.
>>
>> #include <iostream>
>> #include <vector>
>> #include <charconv>
>> #include <string_view>
>> #include <algorithm>
>> #include <fstream>
>> #include <cctype>
>> #include <cstring>
>>
>> #if defined(_MSC_VER)
>> #pragma warning(disable: 4996)
>> #endif
>>
>> using namespace std;
>>
>> int main( int argc, char **argv )
>> {
>> constexpr bool USE_BOOL = true;
>> constexpr size_t BUF_SIZE = 0x100000;
>> try
>> {
>> size_t max;
>> if( argc < 2 )
>> return EXIT_FAILURE;
>> char const *sizeStr = argv[1];
>> bool hex = sizeStr[0] == '0' && (sizeStr[1] == 'x' || sizeStr[1] == 'X');
>> sizeStr += 2 * hex;
>> if( from_chars_result fcr = from_chars( sizeStr, sizeStr + strlen(
>> sizeStr ), max, !hex ? 10 : 16 ); (bool)fcr.ec || *fcr.ptr )
>> return EXIT_FAILURE;
>> using bool_t = conditional_t<USE_BOOL, bool, char>;
>> vector<bool_t> sieve( max, true );
>> for( size_t p = 2; p < max; )
>> {
>> for( size_t m = 2 * p; m < max; m += p )
>> sieve[m] = false;
>> while( ++p < max && !sieve[p] );
>> }
>> if( argc >= 3 && !*argv[2] )
>> return EXIT_SUCCESS;
>> ofstream ofs;
>> ofs.exceptions( ofstream::failbit | ofstream::badbit );
>> ofs.open( argc >= 3 ? argv[2] : "primes.txt", ofstream::trunc );
>> union ndi_t { }; // non-default-initialzied
>> vector<ndi_t> buf;
>> buf.resize( BUF_SIZE + 32 );
>> char
>> *bufBegin = (char *)buf.data(),
>> *bufEnd = bufBegin;
>> for( size_t i = 2; i != max; ++i )
>> if( sieve[i] )
>> {
>> to_chars_result tcr = to_chars( bufEnd, bufEnd + 32, i );
>> (bufEnd = tcr.ptr + 1)[-1] = '\n';
>> if( bufEnd - bufBegin >= BUF_SIZE )
>> ofs << string_view( bufBegin, bufEnd ),
>> bufEnd = bufBegin;
>> }
>> ofs << string_view( bufBegin, bufEnd );
>> }
>> catch( bad_alloc const & )
>> {
>> cout << "out of memory" << endl;
>> }
>> catch( ios_base::failure const & )
>> {
>> cout << "I/O error" << endl;
>> }
>> }
>>
>> I also optimized the file output because simply doing a ofs << i << endl
>> is multiple times slower than buffering a megabyte of data until pushing
>> it to the file. The numbers printed to the buffer are directly printed
>> inside the buffer to make the code more efficient. So if the upper bound
>> is one billion the time taken to print the numbers to the file is within
>> the measurement error.
>
> Confirmed, but you code don't compile.
-std=c++20
>
> --------------------------------- t.cpp
> #include <Wy.stdio.h>
> #include <Wy.time.h>
> #include <CSCall/VLInt.h>
> #include <vector>
>
> using namespace Wy;
>
> // [Syn] Print prime numbers less or equal to n
> //
> // Algo: sieve
> //
> void print_prime1(size_t n)
> {
> Errno r;
> VLInt<unsigned int> barr; // bit=0 =prime
>
> for(size_t i=2; i<=n; ++i) {
> if(barr.bit(i)) {
> continue;
> }
> // Cond: i is a prime number
> for(size_t j=2*i; j<=n; j+=i) {
> if((r=barr.set_bit(j,true))!=Ok) {
> WY_THROW(r);
> }
> }
> }
> };
>
> void print_prime2(size_t n)
> {
> Errno r;
> Array<char> barr(n+1,0,0); // bit=0 =prime
>
> for(size_t i=2; i<=n; ++i) {
> if(barr[i]) {
> continue;
> }
> // Cond: i is a prime number
> for(size_t j=2*i; j<=n; j+=i) {
> barr[j]=1;
> }
> }
> };
>
> void print_prime3(size_t n)
> {
> Errno r;
> std::vector<char> barr(n+1,0); // bit=0 =prime
>
> for(size_t i=2; i<=n; ++i) {
> if(barr.at(i)) {
> continue;
> }
> // Cond: i is a prime number
> for(size_t j=2*i; j<=n; j+=i) {
> barr.at(j)=1;
> }
> }
> };
>
> void print_prime4(size_t n)
> {
> Errno r;
> std::vector<bool> barr(n+1,false); // bit=0 =prime
>
> for(size_t i=2; i<=n; ++i) {
> if(barr.at(i)) {
> continue;
> }
> // Cond: i is a prime number
> for(size_t j=2*i; j<=n; j+=i) {
> barr.at(j)=true;
> }
> }
> };
Show me the times to print primes below 10000000.
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Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-16 15:37 +0200
Re: Sieve of Eratosthenes wij <wyniijj5@gmail.com> - 2023-08-16 10:57 -0700
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-16 20:21 +0200
Re: Sieve of Eratosthenes wij <wyniijj5@gmail.com> - 2023-08-16 12:17 -0700
Re: Sieve of Eratosthenes Paavo Helde <eesnimi@osa.pri.ee> - 2023-08-16 21:44 +0300
Re: Sieve of Eratosthenes wij <wyniijj5@gmail.com> - 2023-08-16 12:09 -0700
Re: Sieve of Eratosthenes "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2023-08-16 23:17 +0200
Re: Sieve of Eratosthenes "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2023-08-16 23:21 +0200
Re: Sieve of Eratosthenes "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2023-08-16 23:39 +0200
Re: Sieve of Eratosthenes "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2023-08-16 23:59 +0200
Re: Sieve of Eratosthenes "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-08-16 16:27 -0700
Re: Sieve of Eratosthenes red floyd <no.spam.here@its.invalid> - 2023-08-16 18:06 -0700
Re: Sieve of Eratosthenes Tim Rentsch <tr.17687@z991.linuxsc.com> - 2023-08-16 19:26 -0700
Re: Sieve of Eratosthenes Öö Tiib <ootiib@hot.ee> - 2023-08-27 12:26 -0700
Re: Sieve of Eratosthenes Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-08-28 00:49 +0100
Re: Sieve of Eratosthenes Öö Tiib <ootiib@hot.ee> - 2023-08-27 23:23 -0700
Re: Sieve of Eratosthenes "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2023-08-28 15:53 +0200
Re: Sieve of Eratosthenes Öö Tiib <ootiib@hot.ee> - 2023-08-28 09:03 -0700
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-28 18:47 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-30 13:01 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-30 15:38 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-30 18:31 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-31 08:22 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-31 11:00 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-31 15:23 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-31 17:28 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-31 11:52 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-31 15:22 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-31 17:32 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-31 15:44 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-31 17:50 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-09-01 10:26 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-09-01 12:59 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-09-01 12:30 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-09-01 15:33 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-09-01 13:49 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-09-01 15:59 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-09-01 14:03 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-09-01 16:15 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-09-01 14:39 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-09-01 16:59 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-09-01 15:01 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-09-01 17:05 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-09-01 15:08 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-09-01 17:15 +0200
Re: Sieve of Eratosthenes Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-08-31 21:33 +0100
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-09-01 05:35 +0200
Re: Sieve of Eratosthenes scott@slp53.sl.home (Scott Lurndal) - 2023-08-31 14:43 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-31 16:57 +0200
Re: Sieve of Eratosthenes scott@slp53.sl.home (Scott Lurndal) - 2023-08-31 16:10 +0000
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-31 15:25 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-31 17:33 +0200
Re: Sieve of Eratosthenes scott@slp53.sl.home (Scott Lurndal) - 2023-08-31 16:12 +0000
Re: Sieve of Eratosthenes Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-08-28 23:08 +0100
Re: Sieve of Eratosthenes Tim Rentsch <tr.17687@z991.linuxsc.com> - 2023-08-28 15:15 -0700
Re: Sieve of Eratosthenes Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-08-28 23:41 +0100
Re: Sieve of Eratosthenes Tim Rentsch <tr.17687@z991.linuxsc.com> - 2023-08-30 17:45 -0700
Re: Sieve of Eratosthenes Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-08-31 03:18 +0100
Re: Sieve of Eratosthenes Tim Rentsch <tr.17687@z991.linuxsc.com> - 2023-08-28 15:08 -0700
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-17 08:42 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-17 11:38 +0200
Re: Sieve of Eratosthenes "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2023-08-17 12:50 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-17 13:10 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-17 17:47 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-21 11:00 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-21 17:19 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-21 19:50 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-21 18:12 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-21 20:22 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-21 19:01 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 05:27 +0200
Re: Sieve of Eratosthenes Öö Tiib <ootiib@hot.ee> - 2023-08-21 23:25 -0700
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 11:23 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 11:59 +0200
Re: Sieve of Eratosthenes Öö Tiib <ootiib@hot.ee> - 2023-08-22 05:15 -0700
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 14:23 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-22 06:56 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 11:27 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 11:34 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-22 14:13 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 16:17 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-22 14:27 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 16:48 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-22 14:57 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 17:00 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-22 17:56 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 20:13 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-22 18:18 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-22 20:50 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-23 06:51 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 09:59 +0200
Re: Sieve of Eratosthenes Richard Damon <Richard@Damon-Family.org> - 2023-08-23 07:52 -0400
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 14:40 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-23 14:24 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 16:30 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-23 14:36 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 16:38 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-23 14:43 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 16:45 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-23 17:49 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 20:05 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-24 17:18 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-24 19:20 +0200
Re: Sieve of Eratosthenes Daniel <danielaparker@gmail.com> - 2023-08-23 11:13 -0700
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 20:17 +0200
Re: Sieve of Eratosthenes "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-08-23 11:20 -0700
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 20:24 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-24 17:25 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-24 19:29 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-24 17:40 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-24 19:49 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-25 16:07 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-25 18:10 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-25 16:15 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-25 18:18 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-26 08:03 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-26 10:16 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-26 08:27 +0000
Re: Sieve of Eratosthenes Daniel <danielaparker@gmail.com> - 2023-08-23 11:37 -0700
Re: Sieve of Eratosthenes "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-08-26 15:33 -0700
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-23 14:20 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 16:32 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-23 14:41 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 16:47 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-23 17:51 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-23 20:09 +0200
Re: Sieve of Eratosthenes scott@slp53.sl.home (Scott Lurndal) - 2023-08-23 18:51 +0000
Re: Sieve of Eratosthenes "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-08-24 11:25 -0700
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-24 17:22 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-24 19:27 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-24 17:37 +0000
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-24 19:52 +0200
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-25 16:07 +0000
Re: Sieve of Eratosthenes Daniel <danielaparker@gmail.com> - 2023-08-23 08:00 -0700
Re: Sieve of Eratosthenes scott@slp53.sl.home (Scott Lurndal) - 2023-08-22 15:49 +0000
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-22 17:58 +0000
Re: Sieve of Eratosthenes scott@slp53.sl.home (Scott Lurndal) - 2023-08-22 18:24 +0000
Re: Sieve of Eratosthenes Muttley@dastardlyhq.com - 2023-08-23 06:50 +0000
Re: Sieve of Eratosthenes wij <wyniijj5@gmail.com> - 2023-08-17 13:43 -0700
Re: Sieve of Eratosthenes "Alf P. Steinbach" <alf.p.steinbach@gmail.com> - 2023-08-18 02:00 +0200
Re: Sieve of Eratosthenes wij <wyniijj5@gmail.com> - 2023-08-18 05:01 -0700
Re: Sieve of Eratosthenes wij <wyniijj5@gmail.com> - 2023-08-18 17:02 -0700
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-28 06:15 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-28 09:43 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-29 20:34 +0200
Re: Sieve of Eratosthenes Bonita Montero <Bonita.Montero@gmail.com> - 2023-08-30 19:02 +0200
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